{"as_of":"2026-08-16T11:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:64cf1b64f305dc1139707446628b2206304b570bacb9bb576cd41b4cce46831e","coverage":[{"denominator":108,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T18:32:34.520161Z","state":"measured"},{"denominator":101,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":101,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T16:54:39.227027Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T16:54:40.986218Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"cited_work":{"arxiv_id":"2506.19909","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.19909","snapshot_observed_at":"2026-08-06T16:54:40.986218Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","venue":"hep-th","work_id":"2e983c45-b81d-43a4-b3e5-26e7091deb46","year":2025},"citing_paper":{"arxiv_id":"2507.12525","last_updated":"2025-07-16T18:00:01Z","snapshot_observed_at":"2026-08-06T16:42:24.998339Z","submitted_at":"2025-07-16T18:00:01Z","title":"Higher Structures on Boundary Conformal Manifolds: Higher Berry Phase and Boundary Conformal Field Theory","version":1},"reference_index":142,"source":"pdf_text","source_observed_at":"2026-08-06T16:54:39.227027Z"},"links":{"cited_paper":"/paper/2506.19909","citing_paper":"/paper/2507.12525"},"observation_digest":"sha256:5af43f27cd6c043f170e74d517fe08bb0020beeef00990f524658197bd0d8477","observation_id":"fb6a5fbe-099f-497a-924d-4a37e7fc9e06","resolution":{"observed_at":"2026-08-06T16:54:41.060392Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.19909/citation-record","integrity":"/paper/2506.19909/integrity","json":"/paper/2506.19909/citation-record.json","paper":"/paper/2506.19909"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:33.780402Z","title":"Quantization of Newton’s constant in certain supergravity theories,","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.780402Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:fc4f47c2ab4e54421dfdc00b3e8d83a26e641d30a921a6e35271e75ba9c3e956","observation_id":"41c57c20-a74f-4610-9ff5-96064da87e20","resolution":{"observed_at":"2026-08-15T18:32:33.780402Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:33.789121Z","title":"Kahler geometry of the space of 𝑁 = 2 superconformal field theories,","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.789121Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:3480d8c213ea24c7e3d057d19e82da71300014f7c79d2f3709602752c27169df","observation_id":"c664feec-f849-4aac-b031-70dc5bebb581","resolution":{"observed_at":"2026-08-15T18:32:33.789121Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9212062","last_updated":"1992-12-10T06:22:34Z","snapshot_observed_at":"2026-08-15T21:14:05.366729Z","submitted_at":"1992-12-10T06:22:34Z","title":"Notes on N=2 $\\sigma$-models$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9212062","snapshot_observed_at":"2026-08-15T18:32:33.796021Z","title":"Notes on N=2 sigma models,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.796021Z"},"links":{"cited_paper":"/paper/hep-th/9212062","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:9fae4b2a46b5d2d427ddefcc0cfceb7f8df8f806e75d7975e59c2bcc1a934309","observation_id":"006f3c82-93a5-4901-9f74-42b760ecd4af","resolution":{"observed_at":"2026-08-15T18:32:33.796021Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1008.0419","last_updated":"2011-02-25T23:51:39Z","snapshot_observed_at":"2026-08-16T10:54:42.541219Z","submitted_at":"2010-08-02T22:01:58Z","title":"Quantization of Fayet-Iliopoulos Parameters in Supergravity","version":2},"cited_work":{"arxiv_id":"1008.0419","doi":null,"metadata_source":"pith","pith_arxiv_id":"1008.0419","snapshot_observed_at":"2026-08-15T18:32:36.675966Z","title":"Quantization of Fayet-Iliopoulos Parameters in Supergravity","venue":"hep-th","work_id":"7cab3889-0cc1-4b53-804c-05abebca7f14","year":2010},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.803350Z"},"links":{"cited_paper":"/paper/1008.0419","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:c4a17c2a5996fb7e78d12f9ee3da2e3134b66147cd715f836eb5dc509c711444","observation_id":"e4311928-ebd0-4bb6-b387-e502bf363094","resolution":{"observed_at":"2026-08-15T18:32:36.683307Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1012.5999","last_updated":"2011-01-27T17:19:11Z","snapshot_observed_at":"2026-08-15T21:20:11.950570Z","submitted_at":"2010-12-29T18:49:10Z","title":"Sums over topological sectors and quantization of Fayet-Iliopoulos parameters","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1012.5999","snapshot_observed_at":"2026-08-15T18:32:33.819380Z","title":"Sums over topological sectors and quantization of Fayet-Iliopoulos parameters,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.819380Z"},"links":{"cited_paper":"/paper/1012.5999","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:27e61402adb675b11e266a80f39f363e44b88d65656b7ab0610a9ed49173786c","observation_id":"bb40ee2c-ba90-4b4d-8768-9309ba848efc","resolution":{"observed_at":"2026-08-15T18:32:33.819380Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.09198","last_updated":"2024-12-12T11:48:48Z","snapshot_observed_at":"2026-08-15T21:11:38.568319Z","submitted_at":"2024-12-12T11:48:48Z","title":"An overview of Bagger-Witten line bundles","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.09198","snapshot_observed_at":"2026-08-15T18:32:33.826673Z","title":"An overview of Bagger-Witten line bundles,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.826673Z"},"links":{"cited_paper":"/paper/2412.09198","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:e2fdcd429bd6767180c6074289c8c17a03a0c13bc10207cfe8962cb5ec7755a6","observation_id":"7450aa05-d76f-4da8-bb7e-07b50403515c","resolution":{"observed_at":"2026-08-15T18:32:33.826673Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9407025","last_updated":"1994-07-05T13:18:55Z","snapshot_observed_at":"2026-07-07T05:05:51.345414Z","submitted_at":"1994-07-05T13:18:55Z","title":"Superstrings and Manifolds of Exceptional Holonomy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9407025","snapshot_observed_at":"2026-08-15T18:32:33.832619Z","title":"Superstrings and manifold of exceptional holonomy,","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.832619Z"},"links":{"cited_paper":"/paper/hep-th/9407025","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:8eb4295c6328d2111196ade483657f3526840f1126332b064cf49278f11c63bf","observation_id":"635c1ba0-a9f5-463d-8fc2-70bbd8f55088","resolution":{"observed_at":"2026-08-15T18:32:33.832619Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.18633","last_updated":"2024-07-07T09:59:56Z","snapshot_observed_at":"2026-08-16T07:09:32.970055Z","submitted_at":"2024-06-26T18:00:00Z","title":"Chern-Simons theory, decomposition, and the A model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.18633","snapshot_observed_at":"2026-08-15T18:32:33.840512Z","title":"Chern-Simons theory, decomposition, and the A model,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.840512Z"},"links":{"cited_paper":"/paper/2406.18633","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:ebdcc3f2d12464c34cdeca403febd472804e0973504f2b1f97da84921c024d07","observation_id":"766b65f7-b31d-4b1e-94e1-aeb37983db38","resolution":{"observed_at":"2026-08-15T18:32:33.840512Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:33.848057Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.848057Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:64989f95d83cabdfcb64b350062ed55c7163d19c03a2b64ea3c3f694751f9658","observation_id":"93652ebf-c5c1-4144-b621-f43c5f1d8c84","resolution":{"observed_at":"2026-08-15T18:32:33.848057Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:33.857215Z","title":"Extension of 𝑁 = 2 superconformal algebra and Calabi-Yau compactification,","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.857215Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:b9f279b0f4ad5cda02f2b53cc47a29a02e863db910e843f56de87fc5b8dd1080","observation_id":"6a2bcff9-d5d2-4e31-9e60-b9b598244cc4","resolution":{"observed_at":"2026-08-15T18:32:33.857215Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1707.05322","last_updated":"2018-11-17T11:07:15Z","snapshot_observed_at":"2026-08-14T20:47:07.913841Z","submitted_at":"2017-07-17T18:00:01Z","title":"On the global moduli of Calabi-Yau threefolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.05322","snapshot_observed_at":"2026-08-15T18:32:33.866771Z","title":"On the global moduli of Calabi–Yau threefolds,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.866771Z"},"links":{"cited_paper":"/paper/1707.05322","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:24e1ed190a1ac0e03fc847db53710eca5b28c9eca39f9c11945e46c3f5c28d01","observation_id":"f55a93a8-9d92-45e8-9b35-96113d2e6b35","resolution":{"observed_at":"2026-08-15T18:32:33.866771Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1906.11254","last_updated":"2019-06-26T18:00:02Z","snapshot_observed_at":"2026-08-15T05:26:52.983643Z","submitted_at":"2019-06-26T18:00:02Z","title":"Global aspects of moduli spaces of 2d SCFTs","version":1},"cited_work":{"arxiv_id":"1906.11254","doi":null,"metadata_source":"pith","pith_arxiv_id":"1906.11254","snapshot_observed_at":"2026-08-15T18:32:36.545034Z","title":"Global aspects of moduli spaces of 2d SCFTs","venue":"hep-th","work_id":"e8436677-065f-4640-b84f-4db0264d6a15","year":2019},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.874288Z"},"links":{"cited_paper":"/paper/1906.11254","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:c2eb2c19916c5d0cab0f8ac7cc4dcb29bc24d83d14b5b01bae836f6f823f8127","observation_id":"feef62bd-a2f1-4b8b-b046-16b6a24d2a2a","resolution":{"observed_at":"2026-08-15T18:32:36.551113Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1606.07078","last_updated":"2016-08-31T14:23:47Z","snapshot_observed_at":"2026-08-16T08:26:21.555666Z","submitted_at":"2016-06-22T20:01:39Z","title":"Bagger-Witten line bundles on moduli spaces of elliptic curves","version":4},"cited_work":{"arxiv_id":"1606.07078","doi":null,"metadata_source":"pith","pith_arxiv_id":"1606.07078","snapshot_observed_at":"2026-08-15T18:32:36.516212Z","title":"Bagger-Witten line bundles on moduli spaces of elliptic curves","venue":"hep-th","work_id":"2c39e44a-1ebd-42f8-a648-80b84599a2c9","year":2016},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.881719Z"},"links":{"cited_paper":"/paper/1606.07078","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:e2a4ce5dace744c161fce56dc2375b653419352ab712cd34694bf6082c366a40","observation_id":"cde8f077-215e-447e-9f5a-39958220bb95","resolution":{"observed_at":"2026-08-15T18:32:36.521679Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:33.888613Z","title":"Local and global theory of the moduli of polarized Calabi-Yau manifolds,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.888613Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:0bdaf812d938487f793bee44cca3e8e427e8c52264265a4274601ae412967c77","observation_id":"83cfa85e-577f-4c65-b06f-e28952746c89","resolution":{"observed_at":"2026-08-15T18:32:33.888613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0004045","last_updated":"2000-04-19T18:52:02Z","snapshot_observed_at":"2026-07-07T05:22:43.830354Z","submitted_at":"2000-04-07T23:44:50Z","title":"Ray Singer Analytic Torsion of Calabi Yau manifolds I","version":2},"cited_work":{"arxiv_id":"math/0004045","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0004045","snapshot_observed_at":"2026-08-15T18:32:36.489551Z","title":"Ray Singer Analytic Torsion of Calabi Yau manifolds I","venue":"math.AG","work_id":"ea49ca55-eb14-45a5-925b-c5df0d407f07","year":2000},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.898001Z"},"links":{"cited_paper":"/paper/math/0004045","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:d4737b9f04afc1b9e092d8a2c4d565c0c4bee22fa506a826d3a6e61eb5257542","observation_id":"ce845599-4919-45b4-8fbc-1d863afd47d3","resolution":{"observed_at":"2026-08-15T18:32:36.495164Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1509.08511","last_updated":"2016-01-26T22:07:31Z","snapshot_observed_at":"2026-08-14T22:30:28.244357Z","submitted_at":"2015-09-28T21:21:59Z","title":"Anomalies, Conformal Manifolds, and Spheres","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.08511","snapshot_observed_at":"2026-08-15T18:32:33.904780Z","title":"Anomalies, conformal manifolds, and spheres,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.904780Z"},"links":{"cited_paper":"/paper/1509.08511","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:0d217b1a71161ce6970efdff2908cd683079e10e7eacd6128bda60fafde4d240","observation_id":"58a4f803-e1bb-45c5-882d-d1a782ae2032","resolution":{"observed_at":"2026-08-15T18:32:33.904780Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1709.05355","last_updated":"2018-03-20T16:41:58Z","snapshot_observed_at":"2026-08-14T20:32:42.966597Z","submitted_at":"2017-09-15T18:01:00Z","title":"Conformal field theories and compact curves in moduli spaces","version":2},"cited_work":{"arxiv_id":"1709.05355","doi":null,"metadata_source":"pith","pith_arxiv_id":"1709.05355","snapshot_observed_at":"2026-08-15T18:32:36.445163Z","title":"Conformal field theories and compact curves in moduli spaces","venue":"hep-th","work_id":"6b727f2b-5085-48df-8fff-1aecb8863857","year":2017},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.910581Z"},"links":{"cited_paper":"/paper/1709.05355","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:d8a8628979b2cd5ac2649cd9fff051c391ef8e8c730f0a2c0c83ceb1fbd30e1a","observation_id":"90a41c29-58d0-4c62-a414-bfecbd701e1b","resolution":{"observed_at":"2026-08-15T18:32:36.450882Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9702155","last_updated":"1997-02-23T10:27:48Z","snapshot_observed_at":"2026-07-07T05:13:08.205441Z","submitted_at":"1997-02-23T10:27:48Z","title":"String Theory on Calabi-Yau Manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9702155","snapshot_observed_at":"2026-08-15T18:32:33.916884Z","title":"String theory on Calabi-Yau manifolds,","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.916884Z"},"links":{"cited_paper":"/paper/hep-th/9702155","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:507d0e91791570154595f1c122982d58201aa918aa272cd4b21fe310aaadd09d","observation_id":"d71335b8-c272-4533-9725-af97e3d4f93d","resolution":{"observed_at":"2026-08-15T18:32:33.916884Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9902116","last_updated":"1999-02-16T20:20:18Z","snapshot_observed_at":"2026-08-14T16:52:27.744836Z","submitted_at":"1999-02-16T20:20:18Z","title":"D-Branes, Derived Categories, and Grothendieck Groups","version":1},"cited_work":{"arxiv_id":"hep-th/9902116","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9902116","snapshot_observed_at":"2026-08-15T18:32:36.400397Z","title":"D-Branes, Derived Categories, and Grothendieck Groups","venue":"hep-th","work_id":"52b41b40-6d06-4100-99ab-4918b1ae2e91","year":1999},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.927864Z"},"links":{"cited_paper":"/paper/hep-th/9902116","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:4678eae7c3e054ff53074f5ac094c6cf476b195535938beddd64bc4c6ea8d815","observation_id":"03a74c02-20aa-44fb-84c3-7f5dd158425b","resolution":{"observed_at":"2026-08-15T18:32:36.406463Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0106050","last_updated":"2006-08-04T08:28:33Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2001-06-07T18:34:04Z","title":"Category theory for conformal boundary conditions","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0106050","snapshot_observed_at":"2026-08-15T18:32:33.936644Z","title":"Category theory for conformal boundary conditions,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.936644Z"},"links":{"cited_paper":"/paper/math/0106050","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:5f53ad21cd00eb121be1c5c94a5d51589021d31bba9280d42eecbecdfe0a130e","observation_id":"bef81c84-bcaf-4c6c-9e0d-dd801665f6f0","resolution":{"observed_at":"2026-08-15T18:32:33.936644Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0104147","last_updated":"2001-07-26T21:08:50Z","snapshot_observed_at":"2026-08-12T06:12:36.009696Z","submitted_at":"2001-04-17T19:52:42Z","title":"Derived Categories and Zero-Brane Stability","version":3},"cited_work":{"arxiv_id":"hep-th/0104147","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0104147","snapshot_observed_at":"2026-08-15T18:32:36.352340Z","title":"Derived Categories and Zero-Brane Stability","venue":"hep-th","work_id":"707cdf27-33fc-40ea-a5d5-525df71e9d7d","year":2001},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.943566Z"},"links":{"cited_paper":"/paper/hep-th/0104147","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:07e5c05495fededf47fa1b57b61db2fd777b0b9afd0726b54765dadbd5e18d93","observation_id":"3e47edc5-88ee-49dc-a3b4-50d6bd2e9bf7","resolution":{"observed_at":"2026-08-15T18:32:36.357826Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0307245","last_updated":"2003-08-06T16:18:54Z","snapshot_observed_at":"2026-08-07T04:36:27.518384Z","submitted_at":"2003-07-24T16:11:58Z","title":"Lectures on D-branes and Sheaves","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0307245","snapshot_observed_at":"2026-08-15T18:32:33.950827Z","title":"Lectures on D-branes and sheaves,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.950827Z"},"links":{"cited_paper":"/paper/hep-th/0307245","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:eff894253cafcb3814df208e9a5ffa1a789a68b45a4f7b0b723f5cd7f8f9a1b8","observation_id":"34c06226-522e-4032-8892-df9875c27310","resolution":{"observed_at":"2026-08-15T18:32:33.950827Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0403166","last_updated":"2004-03-16T18:53:22Z","snapshot_observed_at":"2026-07-07T04:50:02.762457Z","submitted_at":"2004-03-16T18:53:22Z","title":"D-Branes on Calabi-Yau Manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0403166","snapshot_observed_at":"2026-08-15T18:32:33.958233Z","title":"D-branes on Calabi-Yau manifolds,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.958233Z"},"links":{"cited_paper":"/paper/hep-th/0403166","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:3e1022af33234243741d293713ce05c98a077620aeaeada49854e845af4b624b","observation_id":"4213bb37-a11d-43b3-861f-96bd629cd90f","resolution":{"observed_at":"2026-08-15T18:32:33.958233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:33.969860Z","title":"Axial vector vertex in spinor electrodynamics,","venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.969860Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:22998c2d7f41d846b99ff93656377d448bf4916b5bb4c213fab7dd50c73c20cd","observation_id":"e7e21181-8735-4eb6-aa74-81a6cac928b5","resolution":{"observed_at":"2026-08-15T18:32:33.969860Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:33.977256Z","title":"A PCAC puzzle: 𝜋0→𝛾𝛾 in the𝜎 model,","venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.977256Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:20ba95455a9d2752c1a7111afc36fc47ab002de27e50779cebb8c3728dbb4cbd","observation_id":"79d9b129-fe78-4cc4-a587-f69afcdcc1df","resolution":{"observed_at":"2026-08-15T18:32:33.977256Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:33.985953Z","title":"Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking,","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.985953Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:fcc2e21f585f76fd784d3115882e1a813f56f4031d47ebe9cf79c7a4ea7cf575","observation_id":"c27463ba-543e-445a-ade7-30ccf72bb8ba","resolution":{"observed_at":"2026-08-15T18:32:33.985953Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9810064","last_updated":"1999-05-14T15:11:47Z","snapshot_observed_at":"2026-07-07T05:17:58.862598Z","submitted_at":"1998-10-09T18:47:45Z","title":"Kahler Cone Substructure","version":2},"cited_work":{"arxiv_id":"hep-th/9810064","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9810064","snapshot_observed_at":"2026-08-15T18:32:36.291484Z","title":"Kahler Cone Substructure","venue":"hep-th","work_id":"43bedb26-56a4-4c7a-94a1-b9df3a4db7ef","year":1998},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.992418Z"},"links":{"cited_paper":"/paper/hep-th/9810064","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:77abc10e47ba0667945c652aed7cc511a6707f47c9a8d60afaf44e84122bc284","observation_id":"706e523d-1d94-4d24-976b-dc64035da15b","resolution":{"observed_at":"2026-08-15T18:32:36.297139Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0903.5088","last_updated":"2009-12-15T21:54:52Z","snapshot_observed_at":"2026-08-15T05:51:50.092687Z","submitted_at":"2009-03-30T11:13:03Z","title":"The Edge Of Supersymmetry: Stability Walls in Heterotic Theory","version":2},"cited_work":{"arxiv_id":"0903.5088","doi":null,"metadata_source":"pith","pith_arxiv_id":"0903.5088","snapshot_observed_at":"2026-08-15T18:32:36.263684Z","title":"The Edge Of Supersymmetry: Stability Walls in Heterotic Theory","venue":"hep-th","work_id":"d08b0e5a-9adb-4e68-9620-cb1c8bc6d48c","year":2009},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:33.998738Z"},"links":{"cited_paper":"/paper/0903.5088","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:e16baf6fa603c29a508bb5b74f759b49f45d946540945aa51647124dcaf27fad","observation_id":"f0f492a6-90dd-458a-907a-62f1e30e3a13","resolution":{"observed_at":"2026-08-15T18:32:36.270304Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0905.1748","last_updated":"2009-05-12T01:27:21Z","snapshot_observed_at":"2026-08-15T05:48:40.216581Z","submitted_at":"2009-05-12T01:27:21Z","title":"Stability Walls in Heterotic Theories","version":1},"cited_work":{"arxiv_id":"0905.1748","doi":null,"metadata_source":"pith","pith_arxiv_id":"0905.1748","snapshot_observed_at":"2026-08-15T18:32:36.237516Z","title":"Stability Walls in Heterotic Theories","venue":"hep-th","work_id":"d7f26b6e-2a75-431b-91d7-830f3525c9fe","year":2009},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.005647Z"},"links":{"cited_paper":"/paper/0905.1748","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:c8b546ed32482a38a7fb6d5aaaba887ab3df788a24e448cb37577ea3a4d37288","observation_id":"72d41b80-e8f6-48ea-9f3b-28fb198e9d34","resolution":{"observed_at":"2026-08-15T18:32:36.242609Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.012122Z","title":"Fayet-Iliopoulos terms in string theory,","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.012122Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:a8dae49dd09ed0c17a2b1970e3233e1f69f4d8df77dfc0ddca6b0dc0d49c336c","observation_id":"05a83c50-435f-4592-bb79-3bc1a05e71ef","resolution":{"observed_at":"2026-08-15T18:32:34.012122Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0602101","last_updated":"2006-05-04T09:14:54Z","snapshot_observed_at":"2026-07-07T04:56:36.009393Z","submitted_at":"2006-02-10T09:44:49Z","title":"Massive U(1)s and Heterotic Five-Branes on K3","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0602101","snapshot_observed_at":"2026-08-15T18:32:34.018706Z","title":"Massive U(1)s and heterotic five-branes on K3,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.018706Z"},"links":{"cited_paper":"/paper/hep-th/0602101","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:94f8ccd7421e2b3d87c44341db32eafdd201c788fed33910e5e202bda946ff1a","observation_id":"850c9799-96a3-4a7d-b4ef-769d330fb1a4","resolution":{"observed_at":"2026-08-15T18:32:34.018706Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0612030","last_updated":"2006-12-11T14:43:32Z","snapshot_observed_at":"2026-08-15T18:56:10.897508Z","submitted_at":"2006-12-05T16:22:55Z","title":"Merging Heterotic Orbifolds and K3 Compactifications with Line Bundles","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0612030","snapshot_observed_at":"2026-08-15T18:32:34.026646Z","title":"Merging heterotic orbifolds and K3 compactifications with line bundles,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.026646Z"},"links":{"cited_paper":"/paper/hep-th/0612030","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:c97a253f7cbc2d978f79e78727231079348fb411c65f68d5b6e10d501c6c0b53","observation_id":"2e0dfd76-46af-430d-8e9f-c74c0483ef50","resolution":{"observed_at":"2026-08-15T18:32:34.026646Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0904.1218","last_updated":"2009-04-08T19:44:19Z","snapshot_observed_at":"2026-08-15T05:51:04.794229Z","submitted_at":"2009-04-08T19:44:19Z","title":"Higgs Bundles and UV Completion in F-Theory","version":1},"cited_work":{"arxiv_id":"0904.1218","doi":null,"metadata_source":"pith","pith_arxiv_id":"0904.1218","snapshot_observed_at":"2026-08-15T18:32:36.161136Z","title":"Higgs Bundles and UV Completion in F-Theory","venue":"hep-th","work_id":"1f2fab97-7653-4f7b-8560-ab476564bf95","year":2009},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.035391Z"},"links":{"cited_paper":"/paper/0904.1218","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:f3fb1c4390914a8039d76fb8999ebf798905d9a67f12b0cb6918d4d7196135be","observation_id":"de62d9d6-bda6-43a0-925a-d457124e6df6","resolution":{"observed_at":"2026-08-15T18:32:36.166190Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1107.5076","last_updated":"2011-07-25T21:20:06Z","snapshot_observed_at":"2026-08-15T04:39:58.608161Z","submitted_at":"2011-07-25T21:20:06Z","title":"The Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1107.5076","snapshot_observed_at":"2026-08-15T18:32:34.041153Z","title":"The Atiyah class and complex structure stabilization in heterotic Calabi-Yau compactifications,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.041153Z"},"links":{"cited_paper":"/paper/1107.5076","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:8792fb0566e4eaaeb0d97bd2e2179faeecda21f7c5d2f0732fafa610aafb8bc8","observation_id":"8b86d4aa-31c8-456a-9237-cc4b810dfb57","resolution":{"observed_at":"2026-08-15T18:32:34.041153Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.14055","last_updated":"2025-03-11T15:18:29Z","snapshot_observed_at":"2026-08-07T18:04:00.399676Z","submitted_at":"2025-02-19T19:13:49Z","title":"One-loop Renormalization of BPS String Masses in Pseudo-anomalous Heterotic String","version":2},"cited_work":{"arxiv_id":"2502.14055","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.14055","snapshot_observed_at":"2026-08-15T18:32:36.116413Z","title":"One-loop Renormalization of BPS String Masses in Pseudo-anomalous Heterotic String","venue":"hep-th","work_id":"75c87637-a55b-4784-9881-23141b4c87aa","year":2025},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.051882Z"},"links":{"cited_paper":"/paper/2502.14055","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:eeb44ef3d81143e0cb423fcfeb7bf41453a381b3b4f21d9f169be68709f331b8","observation_id":"226abe0c-1a95-469b-b9f5-07cb52f2f989","resolution":{"observed_at":"2026-08-15T18:32:36.122630Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1206.1417","last_updated":"2017-09-21T13:12:54Z","snapshot_observed_at":"2026-08-15T00:57:39.250066Z","submitted_at":"2012-06-07T07:56:10Z","title":"Heterotic flux backgrounds and their IIA duals","version":3},"cited_work":{"arxiv_id":"1206.1417","doi":null,"metadata_source":"pith","pith_arxiv_id":"1206.1417","snapshot_observed_at":"2026-08-15T18:32:36.089417Z","title":"Heterotic flux backgrounds and their IIA duals","venue":"hep-th","work_id":"3ea753af-f1bd-48d8-b8df-052bb05d6eb8","year":2012},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.058796Z"},"links":{"cited_paper":"/paper/1206.1417","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:52dbc0b3d4b5a52f839614b632c63f37e1a8e73aaac63df9d8cbd6618a653d8c","observation_id":"c342ea7f-0545-4dae-8287-e8d48cbc4140","resolution":{"observed_at":"2026-08-15T18:32:36.095481Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.067489Z","title":"Etingof, S","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.067489Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:34a33a228d16d11f00e72d73dcdc5bab0f829263ddd63169e0cec745851abda9","observation_id":"40da214a-dc86-4c2f-8072-e919e2c6f36d","resolution":{"observed_at":"2026-08-15T18:32:34.067489Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.080652Z","title":"Polchinski, String theory","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.080652Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:1ec741aa202901a7032bec74583caa109533299510b324790ecf98009e4bd60b","observation_id":"ebfc32b5-0c26-4780-9477-cb0b9f63d774","resolution":{"observed_at":"2026-08-15T18:32:34.080652Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.090408Z","title":"A note on toroidal compactification of heterotic string theory,","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.090408Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:99a15dbc9f1381a96a547ada63a5d59e57cc00d1c9ff306c7901ab36c35220fa","observation_id":"8e72cd1e-eb09-40a2-9bc0-40d3da05f774","resolution":{"observed_at":"2026-08-15T18:32:34.090408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.00009","last_updated":"2020-12-16T21:58:43Z","snapshot_observed_at":"2026-08-10T02:36:12.082884Z","submitted_at":"2020-11-30T19:00:00Z","title":"Chern-Weil Global Symmetries and How Quantum Gravity Avoids Them","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.00009","snapshot_observed_at":"2026-08-15T18:32:34.096126Z","title":"Chern-Weil global symmetries and how quantum gravity avoids them,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.096126Z"},"links":{"cited_paper":"/paper/2012.00009","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:dc0126834703bdcbe414fe8b43dcc5a5ac8df5d0de53e3bbf13342148a21069e","observation_id":"b35d1525-36ea-4e9e-bf44-bff006fc07e6","resolution":{"observed_at":"2026-08-15T18:32:34.096126Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0504123","last_updated":"2023-05-14T06:37:38Z","snapshot_observed_at":"2026-08-05T20:22:58.065718Z","submitted_at":"2005-04-07T01:55:39Z","title":"From Loop Groups to 2-Groups","version":3},"cited_work":{"arxiv_id":"math/0504123","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0504123","snapshot_observed_at":"2026-08-15T18:32:36.034937Z","title":"From Loop Groups to 2-Groups","venue":"math.QA","work_id":"1c93843b-2e84-4973-bd53-790b4eb93f40","year":2005},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.102748Z"},"links":{"cited_paper":"/paper/math/0504123","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:3d9f5293df6e7b914ff9a773540411ac74d697379314721d45954ffc93f5e633","observation_id":"1c2d6f0f-d5cb-4ac0-9e51-04119afcfa94","resolution":{"observed_at":"2026-08-15T18:32:36.040274Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0911.2483","last_updated":"2010-12-16T20:01:05Z","snapshot_observed_at":"2026-08-15T05:34:03.592595Z","submitted_at":"2009-11-12T21:52:44Z","title":"Central Extensions of Smooth 2-Groups and a Finite-Dimensional String 2-Group","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0911.2483","snapshot_observed_at":"2026-08-15T18:32:34.111865Z","title":"Central extensions of smooth 2–groups and a finite-dimensional string 2–group,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.111865Z"},"links":{"cited_paper":"/paper/0911.2483","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:149e11d0852d4e5b152c9c8755b65a2b2a18f6b93f065958e6be16f686b97c1f","observation_id":"477f8b1a-430b-455e-a306-8d83934e373b","resolution":{"observed_at":"2026-08-15T18:32:34.111865Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1310.7930","last_updated":"2013-10-29T19:40:51Z","snapshot_observed_at":"2026-08-14T23:57:12.189640Z","submitted_at":"2013-10-29T19:40:51Z","title":"Differential cohomology in a cohesive infinity-topos","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1310.7930","snapshot_observed_at":"2026-08-15T18:32:34.118254Z","title":"Differential cohomology in a cohesive infinity-topos,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.118254Z"},"links":{"cited_paper":"/paper/1310.7930","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:969f97fd70742798cf8bbc4d7ef5bee18ed2e27b01104868d14ff1c48bcf375f","observation_id":"96c706f0-43f6-4519-97d7-2d18cd24e7fa","resolution":{"observed_at":"2026-08-15T18:32:34.118254Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.14666","last_updated":"2023-11-27T14:25:30Z","snapshot_observed_at":"2026-08-13T05:18:13.292956Z","submitted_at":"2023-11-24T18:57:22Z","title":"Central extensions of higher groups: Green-Schwarz mechanism and 2-connections","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.14666","snapshot_observed_at":"2026-08-15T18:32:34.125338Z","title":"Central extensions of higher groups: Green-Schwarz mechanism and 2-connections,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.125338Z"},"links":{"cited_paper":"/paper/2311.14666","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:75e08d34593eb76648e24643d7ba98c7c20f885df9b97daee32a7fd690213bd3","observation_id":"a2744242-5a2b-43a3-91a5-05a3f329b1bb","resolution":{"observed_at":"2026-08-15T18:32:34.125338Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0307200","last_updated":"2004-10-27T00:38:14Z","snapshot_observed_at":"2026-07-07T05:35:59.786340Z","submitted_at":"2003-07-15T08:47:02Z","title":"Higher-Dimensional Algebra V: 2-Groups","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0307200","snapshot_observed_at":"2026-08-15T18:32:34.132022Z","title":"Higher-dimensional algebra. V. 2-groups,","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.132022Z"},"links":{"cited_paper":"/paper/math/0307200","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:841f6ff3321239700c326160e216b92aab547f3f5e3fc876c6086ce4d760c2c3","observation_id":"01cd612c-5ce7-4344-a79a-cc05c1fd8b9c","resolution":{"observed_at":"2026-08-15T18:32:34.132022Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.138746Z","title":"private communication,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.138746Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:8d567d285df6f482f14fe9ba087bee34dac2bf2db58bf17dee48a19479864ff8","observation_id":"1c4c47ce-ada3-4a9c-b4d2-63878af8dc6c","resolution":{"observed_at":"2026-08-15T18:32:34.138746Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0910.4001","last_updated":"2012-01-07T19:12:15Z","snapshot_observed_at":"2026-08-15T05:35:52.580177Z","submitted_at":"2009-10-21T18:14:26Z","title":"Twisted differential String and Fivebrane structures","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0910.4001","snapshot_observed_at":"2026-08-15T18:32:34.145264Z","title":"Differential twisted String and Fivebrane structures,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.145264Z"},"links":{"cited_paper":"/paper/0910.4001","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:9ada048fdc2a73e55f0a4812cf23bfcdd2af7f6756e31471fe78ca412a27e4d9","observation_id":"87f12e14-57ef-44bf-9eee-981702547090","resolution":{"observed_at":"2026-08-15T18:32:34.145264Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf02564455","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.614808Z","title":"The cyclic groups and the free loop space,","venue":null,"work_id":"ac52c10c-76ac-4d00-835b-4dbdcc1dca94","year":1987},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.151831Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:fe453915823006403f5f18620309ec0c9e788be7c63f4f7ab3112ba5ac1dab69","observation_id":"b4be1ecf-45e5-4bc5-97a6-e1efe4902fd2","resolution":{"observed_at":"2026-08-15T18:32:34.634283Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1806.01115","last_updated":"2019-03-04T10:41:23Z","snapshot_observed_at":"2026-08-14T19:07:50.085098Z","submitted_at":"2018-06-04T13:50:31Z","title":"Gauge enhancement of super M-branes via parametrized stable homotopy theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.01115","snapshot_observed_at":"2026-08-15T18:32:34.158785Z","title":"Gauge enhancement of super M-branes via parametrized stable homotopy theory,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.158785Z"},"links":{"cited_paper":"/paper/1806.01115","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:72116e0aa7b4902ac1053b384d948522d2fa6f046a77d4c69cf48c7ab3f3ca8c","observation_id":"54c28b25-89e6-4cd9-a742-00419235c8a0","resolution":{"observed_at":"2026-08-15T18:32:34.158785Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.165045Z","title":"Griffiths, J","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.165045Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:5a29e4c9b4821a33d7f9c59f7207e2981616c09c243765baa05b6f775c19725d","observation_id":"5f1fd170-a9ec-450d-b609-9b512db539a4","resolution":{"observed_at":"2026-08-15T18:32:34.165045Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.170773Z","title":"Differential forms and the topology of manifolds,","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.170773Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:c3bf30043ebb94f5e251268064088b730e181b267fd9aa13295d803bfe30dc96","observation_id":"29ee18a2-14a2-4234-8aad-930514f8a80a","resolution":{"observed_at":"2026-08-15T18:32:34.170773Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.184230Z","title":"A model for cyclic homology and algebraic𝐾-theory of 1-connected topological spaces,","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.184230Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:dd9dcc6cc146e262c161167223030b357858cd1884897585dd2c85661a6eed6d","observation_id":"683cf603-97e6-41d9-80b8-a03af2359b7e","resolution":{"observed_at":"2026-08-15T18:32:34.184230Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0111139","last_updated":"2001-11-12T21:08:11Z","snapshot_observed_at":"2026-08-10T10:10:25.075428Z","submitted_at":"2001-11-12T21:08:11Z","title":"Module categories, weak Hopf algebras and modular invariants","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0111139","snapshot_observed_at":"2026-08-15T18:32:34.191258Z","title":"Module categories, weak Hopf algebras and modular invariants,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.191258Z"},"links":{"cited_paper":"/paper/math/0111139","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:9d6b16cf6f7dabefa0ebb5eb7a33d78f243b1fd77067c2f565785ee74291089d","observation_id":"8821de24-c01e-450d-8d99-704a7743f560","resolution":{"observed_at":"2026-08-15T18:32:34.191258Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.09713","last_updated":"2023-12-07T14:56:47Z","snapshot_observed_at":"2026-08-14T11:00:14.098789Z","submitted_at":"2023-05-16T18:00:00Z","title":"Remarks on Boundaries, Anomalies, and Noninvertible Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.09713","snapshot_observed_at":"2026-08-15T18:32:34.197752Z","title":"Remarks on boundaries, anomalies, and noninvertible symmetries,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.197752Z"},"links":{"cited_paper":"/paper/2305.09713","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:c5c897815d80922f620471f27502b6b3f11944ad7c0c4012314cc905c7601bde","observation_id":"056bcf9c-5e7d-419b-9d55-75b2263efe46","resolution":{"observed_at":"2026-08-15T18:32:34.197752Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.10260","last_updated":"2025-07-01T13:35:32Z","snapshot_observed_at":"2026-08-13T02:27:37.600753Z","submitted_at":"2024-11-15T15:06:31Z","title":"Super-$\\mathrm{Lie}_\\infty$ T-Duality and M-Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.10260","snapshot_observed_at":"2026-08-15T18:32:34.203150Z","title":"Super-Lie∞ T-duality and M-theory,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.203150Z"},"links":{"cited_paper":"/paper/2411.10260","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:4f31060544d8d6fc2df9f7bb745c27387edc827737fcc078708cc6d7b0a1a57b","observation_id":"a227ac28-589d-4745-ba27-d6712489ef56","resolution":{"observed_at":"2026-08-15T18:32:34.203150Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1107.3687","last_updated":"2011-08-10T09:16:49Z","snapshot_observed_at":"2026-08-15T04:40:33.965378Z","submitted_at":"2011-07-19T11:38:12Z","title":"Bundle gerbes and moduli spaces","version":2},"cited_work":{"arxiv_id":"1107.3687","doi":null,"metadata_source":"pith","pith_arxiv_id":"1107.3687","snapshot_observed_at":"2026-08-15T18:32:35.845753Z","title":"Bundle gerbes and moduli spaces","venue":"math.DG","work_id":"24602bfb-e748-4465-b5c9-7c6677ea347b","year":2011},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.210511Z"},"links":{"cited_paper":"/paper/1107.3687","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:f7199ef9fbb3ad1cac6aec771c3a77216b0c1b78219695eaa5946597ad7ce19b","observation_id":"33716589-fe1c-4084-94a9-beef163c40ed","resolution":{"observed_at":"2026-08-15T18:32:35.850848Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0101219","last_updated":"2001-09-13T03:17:47Z","snapshot_observed_at":"2026-08-05T00:33:07.403581Z","submitted_at":"2001-01-31T04:43:44Z","title":"Nonassociative Star Product Deformations for D-brane Worldvolumes in Curved Backgrounds","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0101219","snapshot_observed_at":"2026-08-15T18:32:34.217690Z","title":"Nonassociative star product deformations for D-brane world volumes in curved backgrounds,","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.217690Z"},"links":{"cited_paper":"/paper/hep-th/0101219","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:36b01df378e16b52d68bdda2fa32b7b4f128e855395f4e4457879f84efff6a7f","observation_id":"fe2449f2-948a-4642-9d80-c68a9d748cc7","resolution":{"observed_at":"2026-08-15T18:32:34.217690Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0106159","last_updated":"2003-11-27T16:34:33Z","snapshot_observed_at":"2026-08-03T03:26:00.371324Z","submitted_at":"2001-06-18T18:59:26Z","title":"Star Products from Open Strings in Curved Backgrounds","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0106159","snapshot_observed_at":"2026-08-15T18:32:34.223536Z","title":"Star products from open strings in curved backgrounds,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.223536Z"},"links":{"cited_paper":"/paper/hep-th/0106159","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:41c4626f98689e641bd92950d6a1873eb018cc483c964d3e1eaea26493b63e33","observation_id":"cfffaf50-5321-4d00-b10c-e0009a1cbaaf","resolution":{"observed_at":"2026-08-15T18:32:34.223536Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0312043","last_updated":"2003-12-04T16:06:00Z","snapshot_observed_at":"2026-08-04T20:36:49.863838Z","submitted_at":"2003-12-04T16:06:00Z","title":"Cyclicity of non-associative products on D-branes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0312043","snapshot_observed_at":"2026-08-15T18:32:34.230804Z","title":"Cyclicity of nonassociative products on D-branes,","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.230804Z"},"links":{"cited_paper":"/paper/hep-th/0312043","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:80071f57dbce336d545efaecbe38aa187d501c5dfc9e4a0dc44f0030b1e2f588","observation_id":"1fc68c1c-44c0-48d7-8a54-edbacde611b0","resolution":{"observed_at":"2026-08-15T18:32:34.230804Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.05673","last_updated":"2019-03-31T13:53:25Z","snapshot_observed_at":"2026-08-14T17:02:41.631406Z","submitted_at":"2019-03-13T18:43:16Z","title":"An Introduction to Nonassociative Physics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.05673","snapshot_observed_at":"2026-08-15T18:32:34.237556Z","title":"An introduction to nonassociative physics,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.237556Z"},"links":{"cited_paper":"/paper/1903.05673","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:48d328da35fb17f7a8fd48aa199addff993935caca18e3f903a9ead9f6fdff6f","observation_id":"319958dd-2245-43f4-81ec-5f71adc34c4b","resolution":{"observed_at":"2026-08-15T18:32:34.237556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.02845","last_updated":"2019-03-07T11:27:42Z","snapshot_observed_at":"2026-08-14T17:06:00.292650Z","submitted_at":"2019-03-07T11:27:42Z","title":"Quantization of Magnetic Poisson Structures","version":1},"cited_work":{"arxiv_id":"1903.02845","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.02845","snapshot_observed_at":"2026-08-15T18:32:35.743725Z","title":"Quantization of Magnetic Poisson Structures","venue":"hep-th","work_id":"afa23670-dcf4-42ba-bcff-2ea85ed26f56","year":2019},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.243016Z"},"links":{"cited_paper":"/paper/1903.02845","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:3b62d6e6007f9b0aef91c3bb3e00f30ef2338ebd82c8485dd8ebe33b96f5be75","observation_id":"9669401d-67c5-4328-847a-a04727f39b5d","resolution":{"observed_at":"2026-08-15T18:32:35.749065Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.249914Z","title":"𝑁 = 1/2 supersymmetry in two-dimensions,","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.249914Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:2778ea6376ebf459275eebddf68ce9317c1e35605cf6b1a85eed4b80fb971827","observation_id":"222398d3-dece-40ef-a413-9898bb550365","resolution":{"observed_at":"2026-08-15T18:32:34.249914Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.256041Z","title":"Supersymmetric sigma models and the heterotic string,","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.256041Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:489ea2245bbf83f982be21cc05a598f0a57d49a3a2890cf9c698487e71815b11","observation_id":"ae62335c-86c5-4aa0-aef0-f8b57d7924db","resolution":{"observed_at":"2026-08-15T18:32:34.256041Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.262741Z","title":"Unidexterous D=2 supersymmetry in superspace,","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.262741Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:f26640c63da2099234a234e7c77cb71520e03066dd0ec21b8846d5c6af49a5b5","observation_id":"7852e776-0df0-4ccd-a796-a32461f8b93f","resolution":{"observed_at":"2026-08-15T18:32:34.262741Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1910.13455","last_updated":"2019-10-29T18:00:02Z","snapshot_observed_at":"2026-07-06T08:33:12.534026Z","submitted_at":"2019-10-29T18:00:02Z","title":"Trialities of minimally supersymmetric 2d gauge theories","version":1},"cited_work":{"arxiv_id":"1910.13455","doi":null,"metadata_source":"pith","pith_arxiv_id":"1910.13455","snapshot_observed_at":"2026-08-15T18:32:35.717640Z","title":"Trialities of minimally supersymmetric 2d gauge theories","venue":"hep-th","work_id":"dac519e7-d2b8-4d8e-8ce0-b1bd4053ca3a","year":2019},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.268324Z"},"links":{"cited_paper":"/paper/1910.13455","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:0cfcb1f08c7ef2f40b1a173709e7376c1e830cecfe775155a20aa5f165666595","observation_id":"18aae066-3a28-4986-a4b5-9fbeb5d6a148","resolution":{"observed_at":"2026-08-15T18:32:35.724513Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.03696","last_updated":"2021-10-26T20:44:38Z","snapshot_observed_at":"2026-08-13T17:57:37.437205Z","submitted_at":"2021-10-07T18:00:00Z","title":"2d $\\mathcal{N}=(0,1)$ Gauge Theories and Spin(7) Orientifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.03696","snapshot_observed_at":"2026-08-15T18:32:34.275181Z","title":"2dN = (0, 1) gauge theories and Spin(7) orientifolds,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.275181Z"},"links":{"cited_paper":"/paper/2110.03696","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:a3d45ab76ad2877ddcc69749c99d5a1bb2446b27eca3878964679687081529cd","observation_id":"3efc881a-9ae8-4997-8522-271cafe8c5ac","resolution":{"observed_at":"2026-08-15T18:32:34.275181Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.283162Z","title":"Tensor categories with fusion rules of self-duality for finite abelian groups,","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.283162Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:fb2dba88dcd09b01903254365460a08f53bfb091a65e1531253332f122ed50cc","observation_id":"623705ef-8748-44d0-927e-ae6ca4861d83","resolution":{"observed_at":"2026-08-15T18:32:34.283162Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.16230","last_updated":"2023-12-10T16:42:07Z","snapshot_observed_at":"2026-08-13T23:56:12.364764Z","submitted_at":"2023-11-27T19:00:01Z","title":"Notes on gauging noninvertible symmetries, part 1: Multiplicity-free cases","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.16230","snapshot_observed_at":"2026-08-15T18:32:34.295720Z","title":"Notes on gauging noninvertible symmetries. Part I. Multiplicity-free cases,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.295720Z"},"links":{"cited_paper":"/paper/2311.16230","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:7703d87a6d77d440ceed3a2f8a8d1c8bb10c787c8a323300f3ff9f290a67f2b4","observation_id":"6840cdbb-acab-4f69-afa8-5719819f104a","resolution":{"observed_at":"2026-08-15T18:32:34.295720Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.303547Z","title":"private communication,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.303547Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:6ab3de2379cd8eb35e4631ed84f1f6198400e1818f5b43128acd3559d1d0c24f","observation_id":"081b4680-59f1-4587-bfea-69cfa7df1b43","resolution":{"observed_at":"2026-08-15T18:32:34.303547Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9108028","last_updated":"1988-11-11T15:39:49Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1988-11-11T15:39:49Z","title":"Applied Conformal Field Theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9108028","snapshot_observed_at":"2026-08-15T18:32:34.309313Z","title":"Applied conformal field theory,","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.309313Z"},"links":{"cited_paper":"/paper/hep-th/9108028","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:40fc1eb8e54ee50ac5ed8953a5019dec53f6d546335be274f434471381320447","observation_id":"17a03662-3c8e-4c43-830d-52041b4f0947","resolution":{"observed_at":"2026-08-15T18:32:34.309313Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0011021","last_updated":"2000-11-30T16:41:47Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2000-11-03T16:08:03Z","title":"Generalised twisted partition functions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0011021","snapshot_observed_at":"2026-08-15T18:32:34.321265Z","title":"Generalized twisted partition functions,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.321265Z"},"links":{"cited_paper":"/paper/hep-th/0011021","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:9270686b8457aa36916a77a6529ec4e2e49e5babe1935bf04d9916b576955e36","observation_id":"45ba44b0-61a9-4843-bf81-7766ba424405","resolution":{"observed_at":"2026-08-15T18:32:34.321265Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.327289Z","title":"Classical and quantum conformal field theory,","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.327289Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:cf6661a4b64f25c5d8eb80df08beebdbe58c200fa93ff89d96bace5f228e5974","observation_id":"fc608cc3-32a0-4d7f-b7a7-c86b548e3eb2","resolution":{"observed_at":"2026-08-15T18:32:34.327289Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.334459Z","title":"Di Francesco, P","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.334459Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:9561630b258074412aa065360506fdbac92cf494087c8075cd9f4adff7ed1599","observation_id":"6d0470f6-11e6-483e-8b6a-835a4912efec","resolution":{"observed_at":"2026-08-15T18:32:34.334459Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.340078Z","title":"Conformal invariance, unitarity and two-dimensional critical exponents,","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.340078Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:28ae28fb0cd8ce1199239ede5692227afdf46cc28f90ed18bd594ee600cfc51d","observation_id":"515cea98-a487-44ae-a2ef-a0a711828678","resolution":{"observed_at":"2026-08-15T18:32:34.340078Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.345262Z","title":"Superconformal invariance in two-dimensions and the tricritical Ising model,","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.345262Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:840b04ec835bee19716e2c3bfdd608de3469de50c31fb8af9a0a19d743633636","observation_id":"9286041f-4057-4cb2-9ae3-b9b1618dfebc","resolution":{"observed_at":"2026-08-15T18:32:34.345262Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.350892Z","title":"Details of the nonunitarity proof for highest weight representations of the Virasoro algebra,","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.350892Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:102b13b1bbdb18a4b7ee26240f065c1ccd19eebced3a8a19139acb46199f1e31","observation_id":"6de1da60-845d-4208-bc67-471cc7524086","resolution":{"observed_at":"2026-08-15T18:32:34.350892Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.06322","last_updated":"2024-09-24T09:24:31Z","snapshot_observed_at":"2026-08-14T10:58:31.736703Z","submitted_at":"2024-02-09T11:03:51Z","title":"Categorical-Symmetry Resolved Entanglement in CFT","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.06322","snapshot_observed_at":"2026-08-15T18:32:34.359041Z","title":"Categorical-symmetry resolved entanglement in conformal field theory,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.359041Z"},"links":{"cited_paper":"/paper/2402.06322","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:5bf55a4ab4dda9deda4376cc94ec7f7261becede5f44fca0df60665fd0033796","observation_id":"a52a6d32-175a-4260-9682-1b8f8e5fc125","resolution":{"observed_at":"2026-08-15T18:32:34.359041Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.367782Z","title":"von Neumann subfactors and non-invertible symmetries,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.367782Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:1469f80f1a2ffe1d66b4f43918edc22a970677c535324e7210de71f858bd8034","observation_id":"57d43937-01e7-43a2-82e6-5c54033822ed","resolution":{"observed_at":"2026-08-15T18:32:34.367782Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1802.04445","last_updated":"2019-01-12T09:42:13Z","snapshot_observed_at":"2026-08-14T19:46:32.720009Z","submitted_at":"2018-02-13T02:51:54Z","title":"Topological Defect Lines and Renormalization Group Flows in Two Dimensions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1802.04445","snapshot_observed_at":"2026-08-15T18:32:34.375687Z","title":"Topological defect lines and renormalization group flows in two dimensions,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.375687Z"},"links":{"cited_paper":"/paper/1802.04445","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:8c83baf257c844b2b1a93dfde26a41a1193090fbd2bce21f2bdcc38b38f19de1","observation_id":"fb8e4f86-d28c-4090-bd20-4ac4fbebc783","resolution":{"observed_at":"2026-08-15T18:32:34.375687Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.382320Z","title":"Compact Riemannian 7-manifolds with holonomy 𝐺 2. I,","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.382320Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:8a0c2c8486669231526b1aab1b8119a8b7e923edf61457a2224303b1afc5dad2","observation_id":"80fa48d3-d5ce-4039-9344-7664888e7964","resolution":{"observed_at":"2026-08-15T18:32:34.382320Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.393543Z","title":"Compact Riemannian 7-manifolds with holonomy G2. II,","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.393543Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:4743cdb567255647577d5b55d1d83a8b8cbbfe16a114c38f10083f437438695f","observation_id":"2d97b216-e0b8-4017-9bb6-c734c88eb17a","resolution":{"observed_at":"2026-08-15T18:32:34.393543Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.399370Z","title":"Compact 8-manifolds with holonomy Spin (7),","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.399370Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:12d69cda1164ef1b2819b1b22d12abdd5081c777749f511b31debe6e7cc4e491","observation_id":"58a13bab-a014-439c-98fe-dd6d77253741","resolution":{"observed_at":"2026-08-15T18:32:34.399370Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:34.405173Z","title":"A new construction of compact 8-manifolds with holonomy Spin (7),","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.405173Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:325da6d34f33c7f9c407d20e5a0db7a038ab1e6ba76ea59a5a533bf53ecd5921","observation_id":"06891f13-2a28-4b54-842b-fcc0cd58f71a","resolution":{"observed_at":"2026-08-15T18:32:34.405173Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:36.714625Z","title":"unpublished notes,","venue":null,"work_id":"3e23f33a-acec-4e33-a9ae-1a4f1c43a119","year":null},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.410794Z"},"links":{"citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:63598152e18af8b4ea7ee9b154cd60f904fff7bcff35490f35a1618849562145","observation_id":"d8c85dfa-c06a-467c-99fa-de5aefbb13a1","resolution":{"observed_at":"2026-08-15T18:32:36.720331Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0612549","last_updated":"2008-08-01T09:36:02Z","snapshot_observed_at":"2026-08-15T10:53:09.039957Z","submitted_at":"2006-12-19T13:55:06Z","title":"Two-Categorical Bundles and Their Classifying Spaces","version":2},"cited_work":{"arxiv_id":"math/0612549","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0612549","snapshot_observed_at":"2026-08-15T18:32:35.437156Z","title":"Two-Categorical Bundles and Their Classifying Spaces","venue":"math.AT","work_id":"efed4755-b474-4b62-87f7-a66f7aed9074","year":2006},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.418708Z"},"links":{"cited_paper":"/paper/math/0612549","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:2dcf4429251ce8bbf2b8aae609860197585a2090114739522eb03220f9d5dc1a","observation_id":"34209214-5113-49bd-ba8e-b0198383a6db","resolution":{"observed_at":"2026-08-15T18:32:35.444767Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1606.09130","last_updated":"2018-08-07T08:00:13Z","snapshot_observed_at":"2026-08-14T21:53:27.395071Z","submitted_at":"2016-06-09T16:33:46Z","title":"On noncommutative equivariant bundles","version":4},"cited_work":{"arxiv_id":"1606.09130","doi":null,"metadata_source":"pith","pith_arxiv_id":"1606.09130","snapshot_observed_at":"2026-08-15T18:32:35.411347Z","title":"On noncommutative equivariant bundles","venue":"math.RA","work_id":"13bf4e6f-601e-4254-8689-01de28a7effa","year":2016},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.425786Z"},"links":{"cited_paper":"/paper/1606.09130","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:97bfb5f267d0de5cd659375c714b5b7752659d9398d4e65813e6be3b6ee86328","observation_id":"b9d34b95-07db-47eb-aac4-aa1ddd6079f7","resolution":{"observed_at":"2026-08-15T18:32:35.417562Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1111.5316","last_updated":"2011-11-22T20:35:26Z","snapshot_observed_at":"2026-08-15T04:28:06.755186Z","submitted_at":"2011-11-22T20:35:26Z","title":"\\v{C}ech cocycles for quantum principal bundles","version":1},"cited_work":{"arxiv_id":"1111.5316","doi":null,"metadata_source":"pith","pith_arxiv_id":"1111.5316","snapshot_observed_at":"2026-08-15T18:32:35.377276Z","title":"\\v{C}ech cocycles for quantum principal bundles","venue":"math.QA","work_id":"641fb92c-1a7c-45a8-b91a-6934a4054659","year":2011},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.432426Z"},"links":{"cited_paper":"/paper/1111.5316","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:274c37bab9d522ae13156a325a87af7c21a3dd6150653928d7dfbb365122a359","observation_id":"23076e43-1800-409c-b98f-208e656b01b4","resolution":{"observed_at":"2026-08-15T18:32:35.385280Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9208007","last_updated":"1993-03-26T16:50:34Z","snapshot_observed_at":"2026-07-07T05:01:33.688086Z","submitted_at":"1992-08-03T12:00:44Z","title":"Quantum group gauge theory on quantum spaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9208007","snapshot_observed_at":"2026-08-15T18:32:34.438417Z","title":"Quantum group gauge theory on quantum spaces,","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.438417Z"},"links":{"cited_paper":"/paper/hep-th/9208007","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:e55f2a1e82426b24d7a4a97af9adee673622a3004da74dfbf3cedec601412257","observation_id":"4d06de25-1f98-4111-83a2-ae15b0a55d4d","resolution":{"observed_at":"2026-08-15T18:32:34.438417Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0912.0213","last_updated":"2009-12-01T17:29:57Z","snapshot_observed_at":"2026-08-15T05:32:34.883142Z","submitted_at":"2009-12-01T17:29:57Z","title":"On synthetic interpretation of quantum principal bundles","version":1},"cited_work":{"arxiv_id":"0912.0213","doi":null,"metadata_source":"pith","pith_arxiv_id":"0912.0213","snapshot_observed_at":"2026-08-15T18:32:35.315568Z","title":"On synthetic interpretation of quantum principal bundles","venue":"math.QA","work_id":"173d783d-5c1e-4694-84c4-f0f76e792c34","year":2009},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.445545Z"},"links":{"cited_paper":"/paper/0912.0213","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:f0d29cd2ebc94bfa9e4b3c169c69c45de55a24554d09088a5e4c1d51c7b17975","observation_id":"b9fc6c6e-56b5-422f-842d-b02746ebc16e","resolution":{"observed_at":"2026-08-15T18:32:35.323446Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16852","last_updated":"2024-01-18T02:23:35Z","snapshot_observed_at":"2026-08-16T09:44:08.361528Z","submitted_at":"2024-01-18T02:23:35Z","title":"Characterization of principal bundles: the noncommutative algebraic case","version":1},"cited_work":{"arxiv_id":"2402.16852","doi":null,"metadata_source":"pith","pith_arxiv_id":"2402.16852","snapshot_observed_at":"2026-08-15T18:32:35.285078Z","title":"Characterization of principal bundles: the noncommutative algebraic case","venue":"math.QA","work_id":"f455d0e4-f306-4f5d-81bb-d7d87b9185d5","year":2024},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.452085Z"},"links":{"cited_paper":"/paper/2402.16852","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:0d86ca2905604dc8e8e0e00f5f50682af8ab8e95ef86e548857bc58b644125e1","observation_id":"9c68e673-b920-4f73-abe0-5597c1985799","resolution":{"observed_at":"2026-08-15T18:32:35.291726Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"q-alg/9507022","last_updated":"1995-07-20T02:43:33Z","snapshot_observed_at":"2026-08-13T18:33:20.317400Z","submitted_at":"1995-07-20T02:43:33Z","title":"Quantum Principal Bundles as Hopf-Galois Extensions","version":1},"cited_work":{"arxiv_id":"q-alg/9507022","doi":null,"metadata_source":"pith","pith_arxiv_id":"q-alg/9507022","snapshot_observed_at":"2026-08-15T18:32:35.249135Z","title":"Quantum Principal Bundles as Hopf-Galois Extensions","venue":"q-alg","work_id":"705af0cb-24ee-4aea-93de-12a91460790b","year":1995},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.458765Z"},"links":{"cited_paper":"/paper/q-alg/9507022","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:04499dbf8f0a914440d2e231771044d99c2255ed6614a2eee5dc142c8d976793","observation_id":"b4298a67-b01e-48d3-89a0-bdb8cd06ca8c","resolution":{"observed_at":"2026-08-15T18:32:35.256961Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.03481","last_updated":"2023-02-06T18:03:30Z","snapshot_observed_at":"2026-07-06T11:55:24.902179Z","submitted_at":"2021-10-07T14:04:11Z","title":"Differential Calculi on Quantum Principal Bundles over Projective Bases","version":2},"cited_work":{"arxiv_id":"2110.03481","doi":null,"metadata_source":"pith","pith_arxiv_id":"2110.03481","snapshot_observed_at":"2026-08-15T18:32:35.219585Z","title":"Differential Calculi on Quantum Principal Bundles over Projective Bases","venue":"math.QA","work_id":"74f91462-6d21-47d6-b15f-e7580d0c0e0a","year":2021},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.465882Z"},"links":{"cited_paper":"/paper/2110.03481","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:f116170aec46e28a8e636fceb60ff0834d8add293fd2cf70d0e9efa437a2b4d7","observation_id":"db995666-8fe8-4231-afb2-87692e3f824f","resolution":{"observed_at":"2026-08-15T18:32:35.225994Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1212.1545","last_updated":"2012-12-07T07:08:18Z","snapshot_observed_at":"2026-08-15T00:36:48.995042Z","submitted_at":"2012-12-07T07:08:18Z","title":"Tensor products of finitely cocomplete and abelian categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1212.1545","snapshot_observed_at":"2026-08-15T18:32:34.474098Z","title":"Tensor products of finitely cocomplete and abelian categories,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.474098Z"},"links":{"cited_paper":"/paper/1212.1545","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:3f616837a1f84ff8983e02414ffb5270b4860fa70543c8536dd31033d3682569","observation_id":"d70ad862-e27e-490c-bee2-ead117d98e02","resolution":{"observed_at":"2026-08-15T18:32:34.474098Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0905.0731","last_updated":"2009-06-19T11:28:20Z","snapshot_observed_at":"2026-08-15T05:49:02.812946Z","submitted_at":"2009-05-06T15:43:15Z","title":"Topological Quantum Field Theories from Compact Lie Groups","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0905.0731","snapshot_observed_at":"2026-08-15T18:32:34.481284Z","title":"Topological quantum field theories from compact Lie groups,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.481284Z"},"links":{"cited_paper":"/paper/0905.0731","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:df6c8851572274732dc0300c85e029df58ff7345a13a5986a3965b92d75eafc7","observation_id":"90deb8dd-cb5b-4455-a3fe-b9644151cc63","resolution":{"observed_at":"2026-08-15T18:32:34.481284Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.12198","last_updated":"2022-09-09T11:18:33Z","snapshot_observed_at":"2026-08-15T21:10:48.708290Z","submitted_at":"2021-06-23T07:07:09Z","title":"2-vector bundles","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.12198","snapshot_observed_at":"2026-08-15T18:32:34.488243Z","title":"2-vector bundles,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.488243Z"},"links":{"cited_paper":"/paper/2106.12198","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:c1f8d5c37c1f269868c9c6548cba252fc35e7a2f8e68ba1453b5ac13873abfbe","observation_id":"69719ba2-38cb-4fd8-9a95-b4e7558b4dfc","resolution":{"observed_at":"2026-08-15T18:32:34.488243Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.03900","last_updated":"2022-04-08T08:02:28Z","snapshot_observed_at":"2026-08-14T14:51:35.958782Z","submitted_at":"2022-04-08T08:02:28Z","title":"The insidious bicategory of algebra bundles","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.03900","snapshot_observed_at":"2026-08-15T18:32:34.496346Z","title":"The insidious bicategory of algebra bundles,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.496346Z"},"links":{"cited_paper":"/paper/2204.03900","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:c1fa683adc0ae19f0ac59b2629d411ff7991595edc41f259505f4c69297ac6da","observation_id":"7a3d84e5-0aa3-4110-8e24-350886623965","resolution":{"observed_at":"2026-08-15T18:32:34.496346Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1508.04770","last_updated":"2016-01-27T14:44:05Z","snapshot_observed_at":"2026-08-15T12:26:35.377102Z","submitted_at":"2015-08-19T20:05:45Z","title":"Notes on generalized global symmetries in QFT","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1508.04770","snapshot_observed_at":"2026-08-15T18:32:34.502047Z","title":"Notes on generalized global symmetries in QFT,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.502047Z"},"links":{"cited_paper":"/paper/1508.04770","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:ec3c6666dabf48fa31c7cd64736f47f07037b9a4d1e22029db9d414f8cc85ce6","observation_id":"1287ba3a-74cb-46cd-ba5f-3127dbf39aa6","resolution":{"observed_at":"2026-08-15T18:32:34.502047Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1802.04790","last_updated":"2018-02-13T18:48:25Z","snapshot_observed_at":"2026-08-14T19:46:14.493967Z","submitted_at":"2018-02-13T18:48:25Z","title":"Exploring 2-Group Global Symmetries","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1802.04790","snapshot_observed_at":"2026-08-15T18:32:34.508300Z","title":"Exploring 2-group global symmetries,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.508300Z"},"links":{"cited_paper":"/paper/1802.04790","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:b03f5b6024932840468272ee7bdecd9ce554667db2163594b1590262b4098c89","observation_id":"fa7062f8-19c3-4fd7-8070-ca9a6fee6fd7","resolution":{"observed_at":"2026-08-15T18:32:34.508300Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1803.09336","last_updated":"2019-03-26T21:18:19Z","snapshot_observed_at":"2026-08-14T19:32:40.818025Z","submitted_at":"2018-03-25T20:44:33Z","title":"On 2-Group Global Symmetries and Their Anomalies","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.09336","snapshot_observed_at":"2026-08-15T18:32:34.514699Z","title":"On 2-group global symmetries and their anomalies,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.514699Z"},"links":{"cited_paper":"/paper/1803.09336","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:a4e9b74124d1f73423f3d12b6d0147753b14719fe4cdcba57863f5558909a002","observation_id":"91611c93-79f4-4bbd-8205-a467913f894e","resolution":{"observed_at":"2026-08-15T18:32:34.514699Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.00138","last_updated":"2020-09-07T22:55:07Z","snapshot_observed_at":"2026-08-13T21:45:03.644896Z","submitted_at":"2020-08-31T22:54:49Z","title":"2-Group Global Symmetries and Anomalies in Six-Dimensional Quantum Field Theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.00138","snapshot_observed_at":"2026-08-15T18:32:34.520161Z","title":"2-group global symmetries and anomalies in six-dimensional quantum field theories,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-15T18:32:34.520161Z"},"links":{"cited_paper":"/paper/2009.00138","citing_paper":"/paper/2506.19909"},"observation_digest":"sha256:0177649cd5dee90d71119067e6a2e6a5073796cb0aed6ec826a558530f11e489","observation_id":"29f4bb21-c962-4e7c-865e-2a3b97830794","resolution":{"observed_at":"2026-08-15T18:32:34.520161Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.19909","last_updated":"2025-06-24T18:00:01Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-15T21:11:07.323294Z","submitted_at":"2025-06-24T18:00:01Z","title":"Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":74,"verified_exact":25,"verified_fuzzy":1},"total_outbound_references":108},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 100 of 108 outbound references and 1 inbound Pith citation observation for arXiv:2506.19909."}