{"as_of":"2026-08-11T01:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:34b5c69bc5b2d0e649c225c628661cea14228f1ac2f10ed58cfd5f3068e98706","coverage":[{"denominator":33,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":33,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T06:06:18.295201Z","state":"measured"},{"denominator":36,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":36,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-21T23:24:31.981215Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-21T23:25:45.486421Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"cited_work":{"arxiv_id":"2506.06432","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.06432","snapshot_observed_at":"2026-07-24T01:22:58.622760Z","title":"On mixed ’t Hooft anomalies of emergent symmetries","venue":null,"work_id":"f8ed3bd0-68ea-4366-83b1-65a3c5a92e24","year":null},"citing_paper":{"arxiv_id":"2506.23155","last_updated":"2026-03-21T02:04:11Z","snapshot_observed_at":"2026-07-31T18:11:20.507771Z","submitted_at":"2025-06-29T09:28:37Z","title":"Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders","version":4},"reference_index":260,"source":"pdf_text","source_observed_at":"2026-05-19T08:04:49.812169Z"},"links":{"cited_paper":"/paper/2506.06432","citing_paper":"/paper/2506.23155"},"observation_digest":"sha256:909b88df03bd7893047acf5b8b6807189f0ba5ec53ba3c3f9becf682655fb297","observation_id":"23b21234-91ab-472d-865e-73140553b2f2","resolution":{"observed_at":"2026-07-24T01:22:58.622760Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"cited_work":{"arxiv_id":"2506.06432","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.06432","snapshot_observed_at":"2026-07-24T01:22:58.622760Z","title":"On mixed ’t Hooft anomalies of emergent symmetries","venue":null,"work_id":"f8ed3bd0-68ea-4366-83b1-65a3c5a92e24","year":null},"citing_paper":{"arxiv_id":"2508.00050","last_updated":"2025-10-19T23:52:03Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-07-31T18:00:00Z","title":"Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-21T23:24:31.981215Z"},"links":{"cited_paper":"/paper/2506.06432","citing_paper":"/paper/2508.00050"},"observation_digest":"sha256:433951b0b8d1f063e68c8a745215b8c519abd0ce3a5703cdcc060e97b46e57e9","observation_id":"77f767e0-638c-4622-b242-90796cf8a6dc","resolution":{"observed_at":"2026-07-24T01:22:58.622760Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"cited_work":{"arxiv_id":"2506.06432","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.06432","snapshot_observed_at":"2026-07-24T01:22:58.622760Z","title":"On mixed ’t Hooft anomalies of emergent symmetries","venue":null,"work_id":"f8ed3bd0-68ea-4366-83b1-65a3c5a92e24","year":null},"citing_paper":{"arxiv_id":"2604.10919","last_updated":"2026-04-13T02:34:33Z","snapshot_observed_at":"2026-07-06T22:59:27.499664Z","submitted_at":"2026-04-13T02:34:33Z","title":"Dynamical Generation of the VY Superpotential in $N=1$ SYM: A Higher-Form Perspective","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T16:30:04.863119Z"},"links":{"cited_paper":"/paper/2506.06432","citing_paper":"/paper/2604.10919"},"observation_digest":"sha256:6c93e9b9cdc0655e6b5ef2c045e408e7d9406dba970aa710d5480b2ca766b94c","observation_id":"a7b8d47a-235a-48b3-ba88-3563af49a61b","resolution":{"observed_at":"2026-07-24T01:22:58.622760Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.06432/citation-record","integrity":"/paper/2506.06432/integrity","json":"/paper/2506.06432/citation-record.json","paper":"/paper/2506.06432"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:06:18.865664Z","title":"Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking,","venue":null,"work_id":"75e8d6be-4fa5-4330-b177-65e7e8a982e6","year":1980},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.193947Z"},"links":{"citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:d9a5d5f350e5b4369735ac40103baed9c951ba7b91b703fc9368ddf40167219c","observation_id":"a72a1479-3896-4cb3-a38f-c87db04db8b7","resolution":{"observed_at":"2026-08-07T06:06:18.868717Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1412.5148","last_updated":"2015-01-10T00:26:47Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2014-12-16T20:10:29Z","title":"Generalized Global Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.5148","snapshot_observed_at":"2026-08-07T06:06:18.198137Z","title":"Generalized Global Symmetries,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.198137Z"},"links":{"cited_paper":"/paper/1412.5148","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:44c3368639bb953bdfc12410a4a2abd5b74b91c13ce631f509ede869e70e982e","observation_id":"d68cd7d3-0fb5-420f-be9e-f2adc75568c0","resolution":{"observed_at":"2026-08-07T06:06:18.198137Z","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":"2026-08-07T06:06:18.856330Z","title":"Topological Quantum Field Theory,","venue":null,"work_id":"54ba5c8a-4203-4621-9e85-1a81ad951731","year":1988},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.201343Z"},"links":{"citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:e44d5f41bccea6ebcda6640448c568f90db7ccecc0bf15725055e140736cb503","observation_id":"729b2547-a53c-49c8-bc58-a6cf842a74e3","resolution":{"observed_at":"2026-08-07T06:06:18.859634Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:06:18.846842Z","title":"Topological Sigma Models,","venue":null,"work_id":"0ecf9d81-048e-4c49-bc07-8aca6ded8dad","year":1988},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.204317Z"},"links":{"citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:3b90e842002379b550f5f0b7d9b0df935bfac170d8fcd406f778d5fac3811c3b","observation_id":"e5faa872-f633-4f2f-9419-6f7d47af5003","resolution":{"observed_at":"2026-08-07T06:06:18.849909Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"th/9312104","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:06:18.780753Z","title":"The Verlinde algebra and the cohomology of the Grassmannian,","venue":null,"work_id":"c57e658d-2f64-4bc2-bd39-51030d7a6a4d","year":null},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.207738Z"},"links":{"citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:27f064293eb9198681596fa188dab64af2c473df6137bfa72440f2cbb99419cb","observation_id":"9fb8cf7f-92dc-475e-bfa5-fb674836d6a9","resolution":{"observed_at":"2026-08-07T06:06:18.786724Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9305010","last_updated":"1993-05-05T08:52:21Z","snapshot_observed_at":"2026-07-07T05:03:04.481102Z","submitted_at":"1993-05-04T13:39:34Z","title":"Derivation of the Verlinde Formula from Chern-Simons Theory and the G/G model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9305010","snapshot_observed_at":"2026-08-07T06:06:18.210929Z","title":"Derivation of the Verlinde formula from Chern-Simons theory and the G/G model,","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.210929Z"},"links":{"cited_paper":"/paper/hep-th/9305010","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:a786e99fe1c5d8dec98649c20ff5e343a9df030d2c817b65ee300c7d10f53e1e","observation_id":"a89de7bf-38fc-4038-bc22-af55439ce514","resolution":{"observed_at":"2026-08-07T06:06:18.210929Z","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":"2026-08-07T06:06:18.837937Z","title":"Mixed ’t Hooft anomalies and topological quantum field theories,","venue":null,"work_id":"408b5253-77fb-4531-ad42-9bfef7c9ef18","year":2025},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.215423Z"},"links":{"citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:73917b596ecb5d0b4779748a93f29ec6e76fed4cbaac682888ad328fc5869227","observation_id":"6e9514b0-9188-4794-9b1b-9e952fb758a7","resolution":{"observed_at":"2026-08-07T06:06:18.840981Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-07T06:06:18.218382Z","title":"Symmetry Transmutation and Anomaly Matching,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.218382Z"},"links":{"citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:05f2c6e5205370557f2b1b1608ca1b19e89e4a233a3651aa28bba07cfd34b526","observation_id":"59ddc4cf-ce5a-430d-9db0-6a58f5f5fbaa","resolution":{"observed_at":"2026-08-07T06:06:18.218382Z","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":"2026-08-07T06:06:18.221111Z","title":"Instantons, the Quark Model, and the 1/n Expansion,","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.221111Z"},"links":{"citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:069879a17f86ca45a34d89d04ec6f9c72d13fef0e7e3891e78a3421d6ba5a5f4","observation_id":"c324c5dd-92e4-46f6-ad09-a7ac3f2f53f9","resolution":{"observed_at":"2026-08-07T06:06:18.221111Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9301042","last_updated":"1993-02-18T13:59:00Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1993-01-12T15:11:00Z","title":"Phases of $N=2$ Theories In Two Dimensions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9301042","snapshot_observed_at":"2026-08-07T06:06:18.223982Z","title":"Phases of N=2 theories in two-dimensions,","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.223982Z"},"links":{"cited_paper":"/paper/hep-th/9301042","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:a85285f330b4a0074eeff7b02d12ec0d087e48b0fd78d10e3aab189523a1c5bf","observation_id":"4dbdef75-8eb4-4e64-b415-b6f58b734338","resolution":{"observed_at":"2026-08-07T06:06:18.223982Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1401.0740","last_updated":"2014-01-16T02:43:06Z","snapshot_observed_at":"2026-07-06T03:32:26.386723Z","submitted_at":"2014-01-03T22:05:38Z","title":"Coupling a QFT to a TQFT and Duality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1401.0740","snapshot_observed_at":"2026-08-07T06:06:18.227417Z","title":"Coupling a QFT to a TQFT and Duality,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.227417Z"},"links":{"cited_paper":"/paper/1401.0740","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:e0c14d5ee6b9e59f94ee915f7f8badf35cb7d9e0ea895b058e397f501acdb2ec","observation_id":"7d8568c2-3916-4771-b091-45f7c9e59aea","resolution":{"observed_at":"2026-08-07T06:06:18.227417Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.08032","last_updated":"2021-11-15T19:00:12Z","snapshot_observed_at":"2026-08-08T20:24:49.772237Z","submitted_at":"2021-11-15T19:00:12Z","title":"Symmetries of 2d TQFTs and Equivariant Verlinde Formulae for General Groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.08032","snapshot_observed_at":"2026-08-07T06:06:18.230611Z","title":"Symmetries of 2d TQFTs and Equivariant Verlinde Formulae for General Groups,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.230611Z"},"links":{"cited_paper":"/paper/2111.08032","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:ec021a6a7830687ecf3deb80ceb4038bb549d12817dc3a50864d1da6e51bb8e7","observation_id":"ac2cea07-dfcc-4380-b652-cc51615512d2","resolution":{"observed_at":"2026-08-07T06:06:18.230611Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.00117","last_updated":"2024-07-31T21:00:45Z","snapshot_observed_at":"2026-08-10T19:42:13.206821Z","submitted_at":"2024-01-31T19:00:03Z","title":"Spontaneously Broken $(-1)$-Form U(1) Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.00117","snapshot_observed_at":"2026-08-07T06:06:18.233700Z","title":"Spontaneously broken (-1)- form U(1) symmetries,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.233700Z"},"links":{"cited_paper":"/paper/2402.00117","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:ed32a7ade28363022a571bfeebfafa6a6095747bc7f2a43ebe50af255fab5afd","observation_id":"21e62620-8c39-40b2-9fdf-854545af0287","resolution":{"observed_at":"2026-08-07T06:06:18.233700Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.14997","last_updated":"2024-12-02T04:57:40Z","snapshot_observed_at":"2026-08-09T02:05:56.847588Z","submitted_at":"2024-11-22T15:13:25Z","title":"Gauging in Parameter Space: A Top-Down Perspective","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.14997","snapshot_observed_at":"2026-08-07T06:06:18.236671Z","title":"Gauging in Parameter Space: A Top-Down Perspective,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.236671Z"},"links":{"cited_paper":"/paper/2411.14997","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:d85384ccb08c5b37bcf5cbcb5ebda36344761c4f440563840c1443758dd6962c","observation_id":"aad5c98b-f41c-42ff-ada5-45f3b56be27e","resolution":{"observed_at":"2026-08-07T06:06:18.236671Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.09315","last_updated":"2019-10-30T05:55:38Z","snapshot_observed_at":"2026-08-10T01:20:19.610428Z","submitted_at":"2019-05-22T18:19:59Z","title":"Anomalies in the Space of Coupling Constants and Their Dynamical Applications I","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.09315","snapshot_observed_at":"2026-08-07T06:06:18.239993Z","title":"Anomalies in the Space of Coupling Constants and Their Dynamical Applications I,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.239993Z"},"links":{"cited_paper":"/paper/1905.09315","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:2bfd2fd14aa4d9e30256b8d52aede667f536bfec87b32cfde6b69b72a9c8e299","observation_id":"91a25159-7e04-43bd-aaac-92dc9216f9e7","resolution":{"observed_at":"2026-08-07T06:06:18.239993Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.13361","last_updated":"2019-10-30T05:57:18Z","snapshot_observed_at":"2026-08-10T13:59:42.463156Z","submitted_at":"2019-05-31T00:15:56Z","title":"Anomalies in the Space of Coupling Constants and Their Dynamical Applications II","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.13361","snapshot_observed_at":"2026-08-07T06:06:18.243109Z","title":"Anomalies in the Space of Coupling Constants and Their Dynamical Applications II,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.243109Z"},"links":{"cited_paper":"/paper/1905.13361","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:9ed4b061cb73f66851f51884d04c3137795fc155dfe1853a78c413bbff86896b","observation_id":"ebb801a0-0285-4f6a-83cf-ebed015de18f","resolution":{"observed_at":"2026-08-07T06:06:18.243109Z","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":"2026-08-07T06:06:18.822557Z","title":"Fusion rings and geometry,","venue":null,"work_id":"2a8acc41-a630-418e-99b4-2afb1d8f3e4d","year":1991},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.246151Z"},"links":{"citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:5d581c76c0cc6888559e749a175bf6c6093c917df03b6ae0bee9292a947788bb","observation_id":"46c22e63-91c5-4ab6-a13e-65401d83b8b4","resolution":{"observed_at":"2026-08-07T06:06:18.825511Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9111017","last_updated":"1991-11-07T17:19:12Z","snapshot_observed_at":"2026-07-07T05:00:42.844519Z","submitted_at":"1991-11-07T17:19:12Z","title":"Topological Mirrors and Quantum Rings","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9111017","snapshot_observed_at":"2026-08-07T06:06:18.248872Z","title":"Topological mirrors and quantum rings,","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.248872Z"},"links":{"cited_paper":"/paper/hep-th/9111017","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:85ba507d446a05b53990970a420814c97237b2089f4549277126c04c78741d29","observation_id":"776e3fa4-c55b-427b-b6e7-5a235e8363dc","resolution":{"observed_at":"2026-08-07T06:06:18.248872Z","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":"th/9108005","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:06:18.569579Z","title":"Fusion residues,","venue":null,"work_id":"5c286f01-932b-4324-9f8e-af2d2226e9c5","year":1991},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.251919Z"},"links":{"citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:43f0fe8f210cabb2b726f5314f4df1d84d5ea1c9e9bf4254c211c2891f2225d5","observation_id":"c11561b2-6226-4900-9036-7fc5c968e1ff","resolution":{"observed_at":"2026-08-07T06:06:18.574516Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"th/9412236","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:06:18.497667Z","title":"Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties,","venue":null,"work_id":"5c3866a8-48ec-4bec-85d4-71fc1fee62b6","year":1995},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.255065Z"},"links":{"citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:6190601f93ff59499a4cfeba7a91e8a1717c9bc09ecdb822fbd4729d2031daa6","observation_id":"d3ed9b3c-c76f-4b16-84fb-f1c9c286888f","resolution":{"observed_at":"2026-08-07T06:06:18.504578Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0502053","last_updated":"2005-03-08T16:35:42Z","snapshot_observed_at":"2026-08-04T03:05:35.545002Z","submitted_at":"2005-02-04T13:36:43Z","title":"GLSM's for gerbes (and other toric stacks)","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0502053","snapshot_observed_at":"2026-08-07T06:06:18.257834Z","title":"GLSM’s for Gerbes (and other toric stacks),","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.257834Z"},"links":{"cited_paper":"/paper/hep-th/0502053","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:7623e481e14841b2da6d2e7eb45e8cd33a03015ea7e2648f35007c8b5bf6295c","observation_id":"91e510e5-518a-4ee6-ae39-48b192b0776d","resolution":{"observed_at":"2026-08-07T06:06:18.257834Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.07567","last_updated":"2020-10-22T22:11:53Z","snapshot_observed_at":"2026-08-10T19:06:06.199851Z","submitted_at":"2020-08-17T18:33:02Z","title":"Symmetries and Strings of Adjoint QCD${}_2$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.07567","snapshot_observed_at":"2026-08-07T06:06:18.260833Z","title":"Symmetries and strings of adjoint QCD2,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.260833Z"},"links":{"cited_paper":"/paper/2008.07567","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:97df3308f16971a7a680cd5cc10f6b9b83c2b2bc38e7f082f6d546e36a52a21f","observation_id":"8ebad8b8-17a3-4511-80cb-2b0b6b38cf42","resolution":{"observed_at":"2026-08-07T06:06:18.260833Z","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":"2026-08-07T06:06:18.813064Z","title":"Mirror symmetry,","venue":null,"work_id":"9451dbd8-dcaf-4072-b247-44813796d833","year":2003},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.264041Z"},"links":{"citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:827f7900013df2a631891bdce71a853524e1dc1f377d17549661d3c044b7185e","observation_id":"04136f19-c1c5-4b35-b9de-c58b15a1ce05","resolution":{"observed_at":"2026-08-07T06:06:18.816301Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0608481","last_updated":"2007-10-25T15:47:44Z","snapshot_observed_at":"2026-08-09T02:06:33.195220Z","submitted_at":"2006-08-20T16:07:37Z","title":"The Quantum Orbifold Cohomology of Weighted Projective Spaces","version":6},"cited_work":{"arxiv_id":"math/0608481","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0608481","snapshot_observed_at":"2026-08-07T06:06:18.405442Z","title":"The Quantum Orbifold Cohomology of Weighted Projective Spaces","venue":"math.AG","work_id":"e3212b60-5b90-4b19-8d63-b407ca225844","year":2006},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.266755Z"},"links":{"cited_paper":"/paper/math/0608481","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:e158416d6a1a1ef6c89dce6d5061efdc99270aad247e0adbd681bd02c655e87c","observation_id":"7d56636f-6390-41db-a71f-13dd1f60cd9d","resolution":{"observed_at":"2026-08-07T06:06:18.408753Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.02247","last_updated":"2021-08-19T15:02:22Z","snapshot_observed_at":"2026-08-10T14:07:18.858481Z","submitted_at":"2021-05-05T18:00:09Z","title":"On Phases of 3d ${\\cal N}=2$ Chern-Simons-Matter Theories","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.02247","snapshot_observed_at":"2026-08-07T06:06:18.269749Z","title":"On phases of 3d N=2 Chern-Simons-matter theories,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.269749Z"},"links":{"cited_paper":"/paper/2105.02247","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:93df402860b61979960524acadc436f4456d99df8c742bf8db77523f4b197f4c","observation_id":"40b30374-31a3-4a0c-b390-940932278ed4","resolution":{"observed_at":"2026-08-07T06:06:18.269749Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1305.1633","last_updated":"2013-05-20T20:50:00Z","snapshot_observed_at":"2026-08-07T12:28:00.156177Z","submitted_at":"2013-05-07T20:01:50Z","title":"Aspects of 3d N=2 Chern-Simons-Matter Theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1305.1633","snapshot_observed_at":"2026-08-07T06:06:18.272676Z","title":"Aspects of 3d N=2 Chern-Simons-Matter Theories,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.272676Z"},"links":{"cited_paper":"/paper/1305.1633","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:222dd499cf619384639a456e72e9faf2affb9abfa0ae0fe69527fdf2bc7e84de","observation_id":"ca8d8767-e843-496e-81ea-c32b0c4ec180","resolution":{"observed_at":"2026-08-07T06:06:18.272676Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1302.2164","last_updated":"2013-02-08T22:14:37Z","snapshot_observed_at":"2026-07-06T03:06:02.494962Z","submitted_at":"2013-02-08T22:14:37Z","title":"Wilson loops in supersymmetric Chern-Simons-matter theories and duality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1302.2164","snapshot_observed_at":"2026-08-07T06:06:18.275951Z","title":"Wilson loops in supersymmetric Chern-Simons-matter theories and duality,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.275951Z"},"links":{"cited_paper":"/paper/1302.2164","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:b210d216a30268ae5fc655e067ec0ad447a65fe3689e64b5e1e00c3c10e22f80","observation_id":"9d40301b-770c-46e8-bab9-dea79992e79a","resolution":{"observed_at":"2026-08-07T06:06:18.275951Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1501.01310","last_updated":"2016-05-30T22:35:36Z","snapshot_observed_at":"2026-07-06T04:05:28.621052Z","submitted_at":"2015-01-06T21:00:10Z","title":"Equivariant Verlinde formula from fivebranes and vortices","version":2},"cited_work":{"arxiv_id":"1501.01310","doi":null,"metadata_source":"pith","pith_arxiv_id":"1501.01310","snapshot_observed_at":"2026-08-07T06:06:18.361959Z","title":"Equivariant Verlinde formula from fivebranes and vortices","venue":"hep-th","work_id":"520fffc3-f38f-469a-9be9-af1f0aa8b682","year":2015},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.279399Z"},"links":{"cited_paper":"/paper/1501.01310","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:39e4430b5fa614267a0ddfc4a654ed4503c6a4cea396df2ae1d3f330b73dd440","observation_id":"61d250c5-0c60-408e-bac5-0b42cdc68e48","resolution":{"observed_at":"2026-08-07T06:06:18.366876Z","resolver_source":"local_arxiv","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1804.06552","last_updated":"2019-06-16T03:02:07Z","snapshot_observed_at":"2026-08-01T20:24:10.243763Z","submitted_at":"2018-04-18T04:54:34Z","title":"The level structure in quantum K-theory and mock theta functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.06552","snapshot_observed_at":"2026-08-07T06:06:18.282853Z","title":"The level structure in quantum K-theory and mock theta func- tions[J]","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.282853Z"},"links":{"cited_paper":"/paper/1804.06552","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:0517cf8e1af8b3b987f592d60803d90eb74f4cab7570be035387f10c5175e7ff","observation_id":"b7db0f29-4cfe-4b4d-bbe7-cd91a0b00b47","resolution":{"observed_at":"2026-08-07T06:06:18.282853Z","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":"2026-08-07T06:06:18.803486Z","title":"Quantum K-theory of toric stacks","venue":null,"work_id":"800bc896-25b3-4c1d-9810-d7457880999a","year":null},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.286154Z"},"links":{"citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:7a2c92a043dd2618c836a7dc21ead5446df7db1b616d335ed889ec8f6babd066","observation_id":"84dbdb06-e5c1-4b30-b79c-23312b623768","resolution":{"observed_at":"2026-08-07T06:06:18.806525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1912.03792","last_updated":"2020-08-31T05:15:47Z","snapshot_observed_at":"2026-08-02T18:22:39.956492Z","submitted_at":"2019-12-09T00:19:30Z","title":"3d N=2 Chern-Simons-matter theory, Bethe ansatz, and quantum K-theory of Grassmannians","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.03792","snapshot_observed_at":"2026-08-07T06:06:18.289013Z","title":"3d N = 2 Chern-Simons-matter theory, Bethe ansatz, and quantum𝐾-theory of Grassmannians,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.289013Z"},"links":{"cited_paper":"/paper/1912.03792","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:9c20bca1fff2bd9ba279020da922ee4f88b1bb2a4aaa324303bcee0aad5ebb81","observation_id":"7eb0af32-6491-4bc3-9e37-65f4105577db","resolution":{"observed_at":"2026-08-07T06:06:18.289013Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13739","last_updated":"2024-06-19T18:00:02Z","snapshot_observed_at":"2026-07-06T18:33:50.123660Z","submitted_at":"2024-06-19T18:00:02Z","title":"A correspondence between the quantum K theory and quantum cohomology of Grassmannians","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.13739","snapshot_observed_at":"2026-08-07T06:06:18.292029Z","title":"A correspondence between the quantum K theory and quantum cohomology of Grassmannians,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.292029Z"},"links":{"cited_paper":"/paper/2406.13739","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:2c8cf56d2d4599feb1cfef3e9b72d9089d7059e85f0a2930a0ba2bbc506b6c60","observation_id":"9c9c26e4-b432-4821-a913-e230176591cb","resolution":{"observed_at":"2026-08-07T06:06:18.292029Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0105075","last_updated":"2001-05-08T15:48:38Z","snapshot_observed_at":"2026-07-07T04:39:55.331431Z","submitted_at":"2001-05-08T15:48:38Z","title":"Mirror Symmetry in 2+1 and 1+1 Dimensions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0105075","snapshot_observed_at":"2026-08-07T06:06:18.295201Z","title":"Mirror symmetry in (2+1)-dimensions and (1+1)-dimensions,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T06:06:18.295201Z"},"links":{"cited_paper":"/paper/hep-th/0105075","citing_paper":"/paper/2506.06432"},"observation_digest":"sha256:20f27d9c597cbcda86b0e43982a23a9f3a2c5880be1aea90611ae61bb2773e52","observation_id":"e5a01222-559b-4dd6-a9bf-bf50de8e4504","resolution":{"observed_at":"2026-08-07T06:06:18.295201Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.06432","last_updated":"2026-07-23T10:43:39Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-09T15:53:50.916102Z","submitted_at":"2025-06-06T18:00:03Z","title":"On mixed 't Hooft anomalies of emergent symmetries"},"reference_resolution":{"displayed":33,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":4,"verified_fuzzy":7},"total_outbound_references":33},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 3 inbound Pith citation observations for arXiv:2506.06432."}