{"as_of":"2026-08-14T08:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:58c72e18a02174f0bda331cd1547a6825b32d6a624ef7a26ded75dba8f14d111","coverage":[{"denominator":123,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T08:56:52.999331Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2510.18350/citation-record","integrity":"/paper/2510.18350/integrity","json":"/paper/2510.18350/citation-record.json","paper":"/paper/2510.18350"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T08:56:42.388522Z","title":"Entanglement in many-body systems","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:42.388522Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:dd3e536d4e79ff05836f3b479e47133d1f4d4b474085cd824b8b73ed473dcac7","observation_id":"e5e15ac0-8720-448d-a211-6a15b6f546f4","resolution":{"observed_at":"2026-08-04T08:56:42.388522Z","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":"2026-08-04T08:56:42.497644Z","title":"Quantum entanglement in condensed matter systems","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:42.497644Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:5a98ac2957fe03efa094c6584b4a6bde4deee7b529d3d1cfbb80e104cb5d1542","observation_id":"e64ad684-2912-44d3-abd5-bbeae6385100","resolution":{"observed_at":"2026-08-04T08:56:42.497644Z","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":"2026-08-04T08:56:42.613981Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:42.613981Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:235dfc351b5c20a7b5da997e41ed9f10416354b6255705afc6f20b13136b3445","observation_id":"0f419cc6-4a16-4c62-9f57-bbee0a0978c6","resolution":{"observed_at":"2026-08-04T08:56:42.613981Z","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":"2026-08-04T08:56:42.778213Z","title":"Entanglement entropy: Holography and renormalization group","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:42.778213Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:ac4ad26f0e7353068cbfc17a4daa449b3fdaddaa1b110600f55b4560562c1072","observation_id":"7c1e10cb-9997-443b-a87e-e8cc84b1d540","resolution":{"observed_at":"2026-08-04T08:56:42.778213Z","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":"2026-08-04T08:56:42.867358Z","title":"Aps medal for exceptional achievement in research: Invited article on entanglement properties of quantum field theory","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:42.867358Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:bf0a79219df1b078404857be4add8a48ca6e4f5ab94800bc5a41882a4fe1ac48","observation_id":"0505cdd4-b86c-4bc7-9bd5-6bf1b6c4e0a3","resolution":{"observed_at":"2026-08-04T08:56:42.867358Z","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":"2026-08-04T08:56:42.971170Z","title":"Lectures on entanglement in quantum field theory, March 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:42.971170Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:93f8bcfaa1f3966bf10b7741d75a8a2c56676d855e62ef4958f8c02edde5f135","observation_id":"74ffbdca-0eac-4a93-9761-b022639212f3","resolution":{"observed_at":"2026-08-04T08:56:42.971170Z","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":"2026-08-04T08:56:43.135982Z","title":"Holographic Derivation of Entanglement Entropy from AdS / CFT","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:43.135982Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:40571b7cd33f2139d4507e92fb050b54d532c4f03a0753e2ae8e29f6b2d413d3","observation_id":"a0fa4c65-5519-4fbf-8286-d9b7032fd80f","resolution":{"observed_at":"2026-08-04T08:56:43.135982Z","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":"2026-08-04T08:56:43.229774Z","title":"Eisert, M","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:43.229774Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:5b406796953e653ca30767158ceb455fdca30de17be738c1b1b07377b2892442","observation_id":"67c10577-ad03-410a-8322-99afa324da84","resolution":{"observed_at":"2026-08-04T08:56:43.229774Z","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":"2026-08-04T08:56:43.364903Z","title":"Abanin, Ehud Altman, Immanuel Bloch, and Maksym Serbyn","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:43.364903Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:c9cd34a500f2619ebfe1959473befe70405f66ed9d4f4291a07116d841f4890f","observation_id":"519ed935-8837-46a2-983f-f51512c3058b","resolution":{"observed_at":"2026-08-04T08:56:43.364903Z","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":"2026-08-04T08:56:43.430760Z","title":"Holzhey, F","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:43.430760Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:e4e269e18aabaabeeb45f1ada6d1adfbe58b86e33a56ec4d26d7b0639e312629","observation_id":"349aaffc-6aed-442c-9c64-576b23e348fc","resolution":{"observed_at":"2026-08-04T08:56:43.430760Z","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":"2026-08-04T08:56:43.523592Z","title":"Vidal, J","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:43.523592Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:aa8abbec2b5c14e579ee821ea23a97580f3d8e51bc6e14655ce1eabb1c696019","observation_id":"be439aae-6360-40ea-96f0-0c5d29452174","resolution":{"observed_at":"2026-08-04T08:56:43.523592Z","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":"2026-08-04T08:56:43.641468Z","title":"Entanglement entropy and quantum field theory","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:43.641468Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:5ec95d1b418e7f9dea29435202d796117715022394144d35a4228803efd1b376","observation_id":"f0a5c61c-47e0-4c0e-a308-31321bed04c7","resolution":{"observed_at":"2026-08-04T08:56:43.641468Z","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":"2026-08-04T08:56:43.764607Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:43.764607Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:7a7bde3e830a366fae41ed3a6f65ce32fdf2da67128c7f921bbb701e6e1e7616","observation_id":"57daf89e-e29c-4d9b-87f9-61ea70a18034","resolution":{"observed_at":"2026-08-04T08:56:43.764607Z","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":"10.1103/physrevlett.131.166601","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Kim, Michael Levin, Ting-Chun Lin, Daniel Ranard, and Bowen Shi","venue":"Physical Review Letters","work_id":"0ed8073f-d9aa-43f6-ad03-a5c4b5123690","year":2023},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:43.843642Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:3cc0809f2026b4a42c877015e5d67542076b31d4d98fb6465e1a68e1f7242b90","observation_id":"6869ad72-7b57-4af5-9072-f9c5d8e621ec","resolution":{"observed_at":"2026-08-04T08:58:30.366643Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:43.944107Z","title":"Topological Entanglement Entropy","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:43.944107Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:6d6e0ec25a858bf6661656d02bef3ac74abb97323fe5f392cfd96cac5a33283c","observation_id":"19b417b1-ef49-4fee-b6df-fa35ab8eae7b","resolution":{"observed_at":"2026-08-04T08:56:43.944107Z","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":"2026-08-04T08:56:44.053494Z","title":"Detecting Topological Order in a Ground State Wave Function","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:44.053494Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:a100ae14ba8e15c94f4ad83f99be5f65aaaef7e9b657788c7ce51d7a9eadb952","observation_id":"8903b16a-d634-4291-83ef-b9bc01f7fc8c","resolution":{"observed_at":"2026-08-04T08:56:44.053494Z","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":"2026-08-04T08:56:44.195065Z","title":"Colloquium: Zoo of quantum-topological phases of matter","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:44.195065Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:2e37797ae460ca5f6f8942519e1eda560425566595e345b914399e82f7f7d3da","observation_id":"008bab80-40b7-452b-929e-1f1d528ad10f","resolution":{"observed_at":"2026-08-04T08:56:44.195065Z","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":"2026-08-04T08:56:44.291536Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:44.291536Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:667e3d8df323306bce08b86e578cd33d827ee9dbdb8dc9a92078381f25a02d06","observation_id":"d8bfb8c6-9ff5-4c2d-8c85-6fbdfc22e53a","resolution":{"observed_at":"2026-08-04T08:56:44.291536Z","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":"2026-08-04T08:56:44.374679Z","title":"Turner, Erez Berg, and Masaki Oshikawa","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:44.374679Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:a5ec774d4b5ae45ab9b64b0fef12c6c462e19b7e9ce418c597716ea274fee834","observation_id":"aa449b4f-f7ee-4e18-9394-3aa8df47c632","resolution":{"observed_at":"2026-08-04T08:56:44.374679Z","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":"10.1103/physrevb.93.174202","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Geraedts, Rahul Nandkishore, and Nicolas Regnault","venue":"Physical review. B./Physical review. B","work_id":"4e1aaaaf-4b97-4ab6-aee7-274d4d1bbf8b","year":2016},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:44.498607Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:d3463ca47bc6eecad4d80e758f9caf8b21b394825fe492841c808a509a5c40f6","observation_id":"967360f4-1a8e-4cc8-aea6-eb3b9701769b","resolution":{"observed_at":"2026-08-04T08:58:30.195291Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:44.594542Z","title":null,"venue":null,"work_id":null,"year":1964},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:44.594542Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:62ffa7df305bc4e822c156cc4dc7c6e87224c269b6abd4ac7227b37587d3d9d3","observation_id":"69186a62-23d0-47e3-9c46-0de3660984dd","resolution":{"observed_at":"2026-08-04T08:56:44.594542Z","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":"10.1073/pnas.93.25.14256","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Proceedings of the National Academy of Sciences","work_id":"1a3ec7ac-e898-4db9-837e-525bde284429","year":1996},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:44.710469Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:1c06c90d6cff5316f8d8ace12320f5fe33f509b584848ef77dc8f3a31f841258","observation_id":"5395d3bb-2d9c-48a7-8ee8-5393a20dbb88","resolution":{"observed_at":"2026-08-04T08:58:30.076282Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:44.784096Z","title":"The Quantum Theory of Fields : Volume 1: Foundations , volume 1","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:44.784096Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:647f190083287cd6822014a46d71705d624531f0d8f28f6893e7e681f5f0e082","observation_id":"d784a9f6-b7c3-470b-b95f-c442798e5c21","resolution":{"observed_at":"2026-08-04T08:56:44.784096Z","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":"2026-08-04T08:56:44.900746Z","title":"The Quantum Theory of Fields : Volume 2: Modern Applications , volume 2","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:44.900746Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:f1d6673efbc084541ed69e647b6623938ebf16e5031ca75f90a07a3bf85d3812","observation_id":"d38063c2-b815-4615-9ba7-3e63f5935c2a","resolution":{"observed_at":"2026-08-04T08:56:44.900746Z","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":"2026-08-04T08:56:44.983007Z","title":"Group Theory and its Application to Physical Problems","venue":null,"work_id":null,"year":1964},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:44.983007Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:7465aaea9d9bdea4938bac3923c3f67e689d00d3c28ee065a331e8a39d2fd7e0","observation_id":"b67a3650-3bce-48d6-bec2-cb6c9f6a10a2","resolution":{"observed_at":"2026-08-04T08:56:44.983007Z","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":"2026-08-04T08:56:45.053927Z","title":"Generalized global symmetries","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:45.053927Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:36ed8d5eea49de65c2a8923bd74eae0d007a7b5795faa0175b9c3b59a2ff2277","observation_id":"c9dbcc98-c657-4884-81a9-6b6aac5b3b28","resolution":{"observed_at":"2026-08-04T08:56:45.053927Z","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":"2026-08-04T08:56:45.123936Z","title":"Bottini, Ludovic Fraser-Taliente , Liam Gladden, Dewi S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:45.123936Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:9c88a69d74f300a92cbe86b00a464bbb5b6488474ca91430f252fb193aec665a","observation_id":"8fbe5f34-353f-4062-bf8c-6c9f58a5c8db","resolution":{"observed_at":"2026-08-04T08:56:45.123936Z","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":"2026-08-04T08:56:45.276930Z","title":"ICTP Lectures on ( Non- ) Invertible Generalized Symmetries , June 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:45.276930Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:7372e5711b59aeff2563ee5425bc87ccba6440822a2babada785331dc62f6637","observation_id":"d146dcaa-7539-4219-af15-11afdb9d9990","resolution":{"observed_at":"2026-08-04T08:56:45.276930Z","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":"2026-08-04T08:56:45.371460Z","title":"What's Done Cannot Be Undone : TASI Lectures on Non-Invertible Symmetries , March 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:45.371460Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:bb3c6534c239d53ad37b01fe3803f270c339ee1d65a9f626c1c3d38f64c8e6c3","observation_id":"a728ce36-ec75-49bc-91b2-d6a681928bbf","resolution":{"observed_at":"2026-08-04T08:56:45.371460Z","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":"2026-08-04T08:56:45.454303Z","title":"Generalized Symmetries in Condensed Matter","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:45.454303Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:110b4cce2037b219b6cdd6e9b9f4228b53bedabc1d490a261eba1581697ad968","observation_id":"1e1923b1-eae7-4868-abf9-aaf18ef5340a","resolution":{"observed_at":"2026-08-04T08:56:45.454303Z","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":"2026-08-04T08:56:45.558191Z","title":"Coupling a QFT to a TQFT and duality","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:45.558191Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:309c0022a5eb051100a0998f61d06f44c3d3944ebb24b9ea789f441f24432519","observation_id":"7a1a0256-347f-48d8-83c1-3b1d39a4487e","resolution":{"observed_at":"2026-08-04T08:56:45.558191Z","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":"2026-08-04T08:56:45.615739Z","title":"Higher SPT 's and a generalization of anomaly in-flow, November 2015","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:45.615739Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:1f5be86009761e5b2b48438cb3a048f5b1d95e608952432d7315a7be460b5e36","observation_id":"f7b9f6ec-d8ae-44ad-a3ef-412fde389701","resolution":{"observed_at":"2026-08-04T08:56:45.615739Z","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":"2026-08-04T08:56:45.713083Z","title":"Unifying Constructions of Non-Invertible Symmetries","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:45.713083Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:9a1317eb5b108a18b47994a58458fa30606db35162f6f9ee4d5d4e9030a76739","observation_id":"5ff9d3f2-c62f-4995-8abc-2b5223969211","resolution":{"observed_at":"2026-08-04T08:56:45.713083Z","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":"10.1103/physrevb.103.064426","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Physics of Symmetry Protected Topological phases involving Higher Symmetries and their Applications","venue":"Physical review. B./Physical review. B","work_id":"94205d61-61ac-4a15-bd27-61ad6399036c","year":2021},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:45.772530Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:d21977594bab485370f812d457d2561b5e0bd923af756212c8006c697b92a7db","observation_id":"2beb333d-80f5-4fa6-a038-34b3c7ef338d","resolution":{"observed_at":"2026-08-04T08:58:29.877739Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:45.871634Z","title":"Fracton phases via exotic higher-form symmetry-breaking","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:45.871634Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:4db7a50395b3b9fb5fe98709df1c652a28f911207497276e0b050e11f2cdfdfa","observation_id":"b47af577-e566-4ef1-badf-75c8cfc1c8b5","resolution":{"observed_at":"2026-08-04T08:56:45.871634Z","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":"2026-08-04T08:56:46.026113Z","title":"On lattice models of gapped phases with fusion category symmetries","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:46.026113Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:a5263080103fccef699a0fda7045bff932ce53d0896694082e518ca9f28de9b3","observation_id":"a97154a1-55ab-448a-ae1e-ea84061868be","resolution":{"observed_at":"2026-08-04T08:56:46.026113Z","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":"2026-08-04T08:56:46.190172Z","title":"Pace and Xiao-Gang Wen","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:46.190172Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:3281ef2af57f640c5bcd00bbe02287923074e9fe6d88a91891cf0fa371a48271","observation_id":"c5e6484a-b6d3-4553-a8f6-4a630e41a890","resolution":{"observed_at":"2026-08-04T08:56:46.190172Z","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":"2026-08-04T08:56:46.316233Z","title":"Anomalies of (1+1) -dimensional categorical symmetries","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:46.316233Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:2bbde95ca05303f6dc92a562300dddad4b0feb87a26fd2afb69aca565ede3f32","observation_id":"b792e0eb-904d-46bf-b530-f364b4f544e0","resolution":{"observed_at":"2026-08-04T08:56:46.316233Z","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":"2026-08-04T08:56:46.504371Z","title":"Cluster state as a non-invertible symmetry protected topological phase, September 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:46.504371Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:50c60a0806bd0e7b9334f5daad3bb9a730b71626d3b47c2e6cb74725fca5e32f","observation_id":"54eefc0a-5042-4d1f-957c-1f675d98fe90","resolution":{"observed_at":"2026-08-04T08:56:46.504371Z","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":"2026-08-04T08:56:46.646666Z","title":"Non-invertible and higher-form symmetries in 2+1d lattice gauge theories","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:46.646666Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:e324cee56f9fe76f71ef9b8e8d6e7da47bb92cc646156dd609b11a47082cd28f","observation_id":"ac3edadb-04ba-48de-b1da-5204dcb554ca","resolution":{"observed_at":"2026-08-04T08:56:46.646666Z","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":"2026-08-04T08:56:46.783063Z","title":"Topological defects on the lattice: I","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:46.783063Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:90d5b073acbac941122324b9414f09b5dd581116d11f06dbf4bf2db26d2c6a11","observation_id":"8dcda302-b54d-4763-97a2-40d0454306ab","resolution":{"observed_at":"2026-08-04T08:56:46.783063Z","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":"2026-08-04T08:56:46.900151Z","title":"Higher-form symmetries and spontaneous symmetry breaking, February 2018","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:46.900151Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:987463ac7a5239d2f02201de79541d8aeada6f81a936208bba220cd898bf4ccf","observation_id":"ddb5ff7e-8b10-42ec-bc0c-ddf0804c2b42","resolution":{"observed_at":"2026-08-04T08:56:46.900151Z","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":"2026-08-04T08:56:46.990670Z","title":"Group theory: and its application to the quantum mechanics of atomic spectra","venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:46.990670Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:bae4b7882e1971bb2c7db86d4b4f84a036e59077e2274c0a7ddfa5b867e48415","observation_id":"1d82892d-3d55-43bc-b818-d6578163f4bb","resolution":{"observed_at":"2026-08-04T08:56:46.990670Z","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":"2026-08-04T08:56:47.109796Z","title":null,"venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:47.109796Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:9edfa6ed3f17c44cf40442d189b80fe7c9a49eba0e5538bfc50f5f04a21febc0","observation_id":"3259677f-3475-45b4-abe5-8a96e07da2d4","resolution":{"observed_at":"2026-08-04T08:56:47.109796Z","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":"2026-08-04T08:56:47.206776Z","title":"Symmetry-resolved entanglement in many-body systems","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:47.206776Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:75052fd29e91874ccc27e6119cf593e40670b8656757157b1447841b919be372","observation_id":"21251bd1-bca6-4eee-91c1-b047b048b7fd","resolution":{"observed_at":"2026-08-04T08:56:47.206776Z","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":"2026-08-04T08:56:47.308803Z","title":"Symmetry resolved entanglement in free fermionic systems","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:47.308803Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:560c37833045e9b125dd85a55730dc3dbdbb4c096997f008ab942cf2113beb6e","observation_id":"a35202e0-125e-465f-9326-1779ac154851","resolution":{"observed_at":"2026-08-04T08:56:47.308803Z","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":"2026-08-04T08:56:47.433954Z","title":"Symmetry-resolved entanglement detection using partial transpose moments","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:47.433954Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:da515fa7d21145201318c248697a86dabdbd7e946f30c78988b436259acdc6c6","observation_id":"4d60d7d7-be30-4eea-a95d-179f0f5f0d57","resolution":{"observed_at":"2026-08-04T08:56:47.433954Z","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":"10.1103/physrevlett.134.150401","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Threefold Way for Typical Entanglement","venue":"Physical Review Letters","work_id":"d101292f-1eb8-46d5-9002-3d71470d85f3","year":2025},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:47.506040Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:c95b82c2ccbc405c24f3e72e13ad168266fd6b03bffd95833ff3e8b731ca3e71","observation_id":"54fb48c9-5255-4574-a346-e817ed923293","resolution":{"observed_at":"2026-08-04T08:58:29.657722Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.aop.2017.07.018","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Anyonic entanglement and topological entanglement entropy","venue":"Annals of Physics","work_id":"1f84161a-9693-4595-bd79-95036b3c5604","year":2017},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:47.603412Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:9c6d25adb4dc928c82960e8477c538ac03bd3febd5384fd77085fc584f55f5ce","observation_id":"acd93741-e2e3-44ef-9dc4-0078cf7460d9","resolution":{"observed_at":"2026-08-04T08:58:29.496321Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevd.109.105026","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Saura-Bastida , A","venue":"Physical review. D/Physical review. D.","work_id":"78ca1b02-0a6e-47a4-a7dd-c2dc01bb8c35","year":2024},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:47.730086Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:8aeba193beedf96d656d7a8180e8d6f5ed75f6e0177d74c97d08d19416fda914","observation_id":"4c19c81b-dd05-4076-b337-ef981a702c71","resolution":{"observed_at":"2026-08-04T08:58:29.364844Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:47.913669Z","title":"Hamiltonian formulation of Wilson 's lattice gauge theories","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:47.913669Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:51ae04bf6aed31318e6b28f5049eb616107b2e3fdf5fcbd8ab965dd77768559b","observation_id":"a67b4a71-739b-4e3d-9ba4-ae7ec8e6a75f","resolution":{"observed_at":"2026-08-04T08:56:47.913669Z","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":"2026-08-04T08:56:48.086421Z","title":"This is a higher-form symmetry what is called (d-2)-form symmetry in the field theory community under the convention of considering spacetime as d-dimensional","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:48.086421Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:40107368cfc121ccfb381886b7ffd3b83a1fa422f2e5e02a300905cd7d5a38e3","observation_id":"c366c666-a793-4cf0-a8d7-55b5bc11940d","resolution":{"observed_at":"2026-08-04T08:56:48.086421Z","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":"2026-08-04T08:56:48.197906Z","title":"This setup is reminiscent of lattice gauge theory","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:48.197906Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:5e2bf51bad8467eb8dd297dd1d76978b41f5157d58d60bd4c18cb38d1b52f56f","observation_id":"d71c4f7d-fff9-4af2-b773-a22b1850304a","resolution":{"observed_at":"2026-08-04T08:56:48.197906Z","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":"2026-08-04T08:56:48.290528Z","title":"Our framework is directly applicable to open manifolds as well, but this paper focuses on the case of closed manifolds","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:48.290528Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:bb4ae531b761d151761ddf977630f87ab2ff8fe94212af1503b86d9761b63a90","observation_id":"b1abe045-e534-4274-a4f4-764c9496b663","resolution":{"observed_at":"2026-08-04T08:56:48.290528Z","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":"2026-08-04T08:56:48.346619Z","title":"The proof of this fact is also provided in the Supplemental Materials","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:48.346619Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:c97e838da295ef67d87ce05a9abd4c9b4b6d3d86c7f3fb032a0efea66455120b","observation_id":"f825c269-cec5-4519-9651-f27d3ef67148","resolution":{"observed_at":"2026-08-04T08:56:48.346619Z","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":"10.1103/physrevx.15.011001","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Entanglement Properties of Gauge Theories from Higher-Form Symmetries","venue":"Physical Review X","work_id":"596bbb4c-ec42-4f02-a8d8-af211dc20391","year":2025},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:48.427327Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:279272349143b007fef08eb39c693466cfc119c5ed4d32d2940ae3c7a8f48d92","observation_id":"a162d808-823b-417f-b106-ec0b71cb0bb2","resolution":{"observed_at":"2026-08-04T08:58:29.250582Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevlett.131.131602","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Violation of eigenstate thermalization hypothesis in quantum field theories with higher-form symmetry","venue":"Physical Review Letters","work_id":"3ec54c6c-3b49-455c-a291-a94a5a4757a6","year":2023},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:48.497474Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:544720699929cbbfa7bd8001f45d21400edee98ca1e9a23b5118421375a9dc03","observation_id":"e846a5b8-cc5c-45ae-99e7-758a97b0a5f7","resolution":{"observed_at":"2026-08-04T08:58:29.130541Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:48.569555Z","title":"We do not demonstrate the case of S^1 as it does not allow discretization with plaquettes, implying no symmetry is actually imposed","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:48.569555Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:3c361a75fe40d30930ffed8299dbd24c56c580cc5775909b98a4d084127cb9e5","observation_id":"26fd600d-784c-4e46-8e33-0569fcafb121","resolution":{"observed_at":"2026-08-04T08:56:48.569555Z","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":"2026-08-04T08:56:48.679865Z","title":"Bridson and Henry Wilton","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:48.679865Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:3e95bf61d69a740efeffbfbb10712751361d4a5d6a1d0a367053ba1194e7483f","observation_id":"52a7f21d-9bdb-4240-9751-38694fc1be3f","resolution":{"observed_at":"2026-08-04T08:56:48.679865Z","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":"2026-08-04T08:56:48.761877Z","title":"A Guide to the Classification Theorem for Compact Surfaces","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:48.761877Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:29bc4b8e66c019edfe68a3430468cbb644e41d4427b67e4c1860d9f165a3ea68","observation_id":"df2cad33-3b5d-4ea7-b07f-c34e86a1285c","resolution":{"observed_at":"2026-08-04T08:56:48.761877Z","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":"2026-08-04T08:56:48.854309Z","title":"Francis and Jeffrey R","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:48.854309Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:5b7d4d4ede99b9620fac400638fb3698bf0d4927372428ed69d5a78e9c47bea0","observation_id":"77543d3b-ea0f-46a6-8c74-e2e1d64e0dc9","resolution":{"observed_at":"2026-08-04T08:56:48.854309Z","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":"10.1103/physrevlett.119.111603","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"http://www.w3.org/1998/math/mathml","venue":"Physical Review Letters","work_id":"feae7507-2da9-4e9e-af72-7ee4555a773a","year":1998},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:48.959582Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:61a04460008930b5fad0fd48efbd863ff22ff615f42ac8860e0f99531aeb53ce","observation_id":"57c5b570-1a26-4f4d-a680-491353b46357","resolution":{"observed_at":"2026-08-04T08:58:29.019449Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/ptep/ptaf056","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"On the dimensions of (2+1)d abelian bosonic topological systems on nonorientable manifolds","venue":"Progress of Theoretical and Experimental Physics","work_id":"2db48883-3aa2-4052-af9e-0b42061d2634","year":2025},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:49.161876Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:77ee654760092d276bbc83d58bbbf81dd135123e7a7cf43975fd3449f7f63276","observation_id":"af01fcd8-69db-4a65-b996-539370cc369e","resolution":{"observed_at":"2026-08-04T08:58:28.896619Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:49.297481Z","title":"Generalization of anomaly formula for time reversal symmetry in (2+1)d abelian bosonic tqfts, 2025 b","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:49.297481Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:b7905e47948f3286c5851ea1896ae329c9681797651606477d9b99ec4ead4850","observation_id":"6d94773c-e394-403e-a247-32b70202896e","resolution":{"observed_at":"2026-08-04T08:56:49.297481Z","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/s00220-019-03475-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Reflection and Time Reversal Symmetry Enriched Topological Phases of Matter : Path Integrals , Non-orientable Manifolds , and Anomalies","venue":"Communications in Mathematical Physics","work_id":"dd487801-5d4b-44d6-9f60-8465d1072f17","year":2020},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:49.496164Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:5b20f223d09bc80e617ae96dc4a0fbaa7622d6bbd5f8a01075270785fe427c94","observation_id":"074e235e-5f5b-4d71-9775-fb8ab635e3bd","resolution":{"observed_at":"2026-08-04T08:58:28.765225Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:49.624318Z","title":"Problems in low dimensional manifold theory","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:49.624318Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:da99687dceb12e7218f4d81039bb79327c760629c419c23648a255dced59e01b","observation_id":"77d39cd3-e635-40ee-b95f-4d23136a9aa1","resolution":{"observed_at":"2026-08-04T08:56:49.624318Z","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":"10.2140/gtm.2007.12.285","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Problems around 3–manifolds","venue":"Geometry and topology monographs","work_id":"484211cf-28ee-4feb-8ff4-8788b2ab93d4","year":2005},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:49.724519Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:576c42af747bb47d2600041cc59c971daff6e1b3af33472e2cc8a97e8a96e8fc","observation_id":"09925583-ef3c-44aa-9a2b-f4a2d43f7ed2","resolution":{"observed_at":"2026-08-04T08:58:28.614961Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:49.863421Z","title":"Three dimensional manifolds, kleinian groups and hyperbolic geometry","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:49.863421Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:0b647758992c4581b7463f2368145fed8ee315557566956f4cce115021916bf2","observation_id":"b3291975-a082-408f-96b5-9a61bccd453f","resolution":{"observed_at":"2026-08-04T08:56:49.863421Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0211159","last_updated":"2002-11-11T16:11:49Z","snapshot_observed_at":"2026-07-07T05:32:21.443158Z","submitted_at":"2002-11-11T16:11:49Z","title":"The entropy formula for the Ricci flow and its geometric applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0211159","snapshot_observed_at":"2026-08-04T08:56:50.032626Z","title":"The entropy formula for the ricci flow and its geometric applications, 2002","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:50.032626Z"},"links":{"cited_paper":"/paper/math/0211159","citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:f9506990163f58092d6347d2ab2132a8073127dd0c92bc88dcbb90b7c454739d","observation_id":"b6845ef1-8104-4ab2-9814-4217b509a983","resolution":{"observed_at":"2026-08-04T08:56:50.032626Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0303109","last_updated":"2003-03-10T16:44:35Z","snapshot_observed_at":"2026-07-07T05:34:01.844436Z","submitted_at":"2003-03-10T16:44:35Z","title":"Ricci flow with surgery on three-manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0303109","snapshot_observed_at":"2026-08-04T08:56:50.151981Z","title":"Ricci flow with surgery on three-manifolds, 2003 a","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:50.151981Z"},"links":{"cited_paper":"/paper/math/0303109","citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:8a6fde9d363c5dffa64de5cd3f6fe7004c28e3b6ef73ce61fc56ee57502c376e","observation_id":"f4cc366c-47d0-413e-9532-9dceb47b6c24","resolution":{"observed_at":"2026-08-04T08:56:50.151981Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0307245","last_updated":"2003-07-17T15:26:38Z","snapshot_observed_at":"2026-07-07T05:35:59.786340Z","submitted_at":"2003-07-17T15:26:38Z","title":"Finite extinction time for the solutions to the Ricci flow on certain three-manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0307245","snapshot_observed_at":"2026-08-04T08:56:50.337879Z","title":"Finite extinction time for the solutions to the ricci flow on certain three-manifolds, 2003 b","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:50.337879Z"},"links":{"cited_paper":"/paper/math/0307245","citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:7ca1d0c98dfabc1b879fe8ebef7f122e631873985bd47a9678811a68a0da4768","observation_id":"3a3e50f0-cb68-40cb-bec7-958b12cafcc9","resolution":{"observed_at":"2026-08-04T08:56:50.337879Z","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":"2026-08-04T08:56:50.521678Z","title":"Forstudier til en topologisk teori for de algebraiske fladers sammenhaeng","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:50.521678Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:9823b3157144bbf97ba6ddfaed64f88f8f88b699a82d4382f58edb6299d0cf56","observation_id":"6085e464-0ff8-4492-a666-d27a401051b1","resolution":{"observed_at":"2026-08-04T08:56:50.521678Z","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":"2026-08-04T08:56:50.646132Z","title":"Algorithmic and computer methods for three-manifolds, volume 425","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:50.646132Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:8517ffc8a4db8364cfffd92e532f5a65fac1d2f6b49dd1c80820f81ced016f25","observation_id":"2e0ddc2c-d022-4f78-8087-aef056deb9f5","resolution":{"observed_at":"2026-08-04T08:56:50.646132Z","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":"2026-08-04T08:56:50.791861Z","title":"Lectures on the topology of 3-manifolds: an introduction to the Casson invariant","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":74,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:50.791861Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:7d52075ca18be0ce63ab78bd1a110dca339c5bfa2a33f0845d07d17b5667b6eb","observation_id":"2e21f415-c69e-48f2-8133-b3e3b7fb9e53","resolution":{"observed_at":"2026-08-04T08:56:50.791861Z","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/bf02940644","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zur dreidimensionalen Topologie","venue":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","work_id":"849f4e65-476e-47a5-a585-5b8072144602","year":1933},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":75,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:50.913509Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:f39b856d5d0ef227bbac305af89d0fc9eb47456a0c1b6a21d1c67cbf24665b2a","observation_id":"2695d75b-539b-4008-9423-64408f0bab01","resolution":{"observed_at":"2026-08-04T08:58:28.483819Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:51.060591Z","title":null,"venue":null,"work_id":null,"year":1933},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":76,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:51.060591Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:e209c657c946614101d58caa9b000cc40dbd25fb4c1ad6bd76e7213fd3577271","observation_id":"f0046693-6060-4f61-aae5-20c9b37962ba","resolution":{"observed_at":"2026-08-04T08:56:51.060591Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1205.0202","last_updated":"2013-04-24T11:09:28Z","snapshot_observed_at":"2026-07-06T02:47:21.071404Z","submitted_at":"2012-05-01T16:06:21Z","title":"3-manifold groups","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1205.0202","snapshot_observed_at":"2026-08-04T08:56:51.171111Z","title":"3-manifold groups, 2013","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":77,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:51.171111Z"},"links":{"cited_paper":"/paper/1205.0202","citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:0987a6d04e928bf5c4211e19115c82f5828daa07f495c39da79d59b8f0611c4b","observation_id":"f03a8d7a-5836-4179-94dc-5bdbe5f35796","resolution":{"observed_at":"2026-08-04T08:56:51.171111Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9707021","last_updated":"1997-07-09T18:28:27Z","snapshot_observed_at":"2026-07-07T07:27:02.186468Z","submitted_at":"1997-07-09T18:28:27Z","title":"Fault-tolerant quantum computation by anyons","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9707021","snapshot_observed_at":"2026-08-04T08:56:51.259959Z","title":"Yu Kitaev","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:51.259959Z"},"links":{"cited_paper":"/paper/quant-ph/9707021","citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:3116d93a35e9e63c7903958dcbd5914a39f709195c8ff71210b62aec719c5c37","observation_id":"3599a05e-b7f5-4134-b0d4-7c4a47d37e8a","resolution":{"observed_at":"2026-08-04T08:56:51.259959Z","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":"10.1088/1126-6708/2008/05/016","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Leigh, and Sean Nowling","venue":"Journal of High Energy Physics","work_id":"5e8d44da-121e-447a-ab44-b2b097a85bc9","year":2008},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":79,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:51.362662Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:1174c77914da2c9d80f993cf7de6fe013ea251dda00360fec8d73badccd7a119","observation_id":"d59953a9-defc-4cdb-9d97-6e16054107b5","resolution":{"observed_at":"2026-08-04T08:58:28.362366Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:51.422242Z","title":"Quasiparticle statistics and braiding from ground-state entanglement","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":80,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:51.422242Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:4848118c5333c31abe80437af2acbdd14218e4c685380cea601d1b4bf82eda42","observation_id":"0cd3ca42-8941-4362-ba99-8a019cbe7c22","resolution":{"observed_at":"2026-08-04T08:56:51.422242Z","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":"10.1103/physrevb.84.195120","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Entanglement entropy of gapped phases and topological order in three dimensions","venue":"Physical Review B","work_id":"56a35c1f-f0d8-4eab-aeac-c48f2b41be6a","year":2011},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":81,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:51.480107Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:2351d3732fb8728e89e6debdca369a7efe920699134fa3d18520e05ca24a1bbf","observation_id":"206db082-054c-4b1d-9611-c2a6beb4372d","resolution":{"observed_at":"2026-08-04T08:58:28.194350Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:51.566602Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":82,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:51.566602Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:a07ed67268e9de049f11ea8d654bed0b3fa43d9ff8595fd5281348cccac3111b","observation_id":"bab73fb3-22d2-4607-81e5-43008fb19cfb","resolution":{"observed_at":"2026-08-04T08:56:51.566602Z","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":"2026-08-04T08:56:51.621468Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":83,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:51.621468Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:1c80ac4bbbb637de51e9c538225a6d9c478fc9e5a9445a7940e5ef2fa29540c1","observation_id":"9e9a32f8-80f7-4b25-852c-ef4dfe8de104","resolution":{"observed_at":"2026-08-04T08:56:51.621468Z","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":"2026-08-04T08:56:51.684004Z","title":"Classical and quantum conformal field theory","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":84,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:51.684004Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:db97f2b4bf7c669a25106b9cc7cb956734d6ea44d45b8c259e0921ceb58d91e1","observation_id":"3886c816-cfe6-4090-a1d3-fd39652fae0e","resolution":{"observed_at":"2026-08-04T08:56:51.684004Z","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":"10.1007/978-1-4615-3802-8_8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lectures on RCFT","venue":"NATO ASI series. Series B : Physics","work_id":"a3484558-9cfa-491b-88e2-1ffe1bf010e8","year":1990},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":85,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:51.764855Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:bb0a6b7aa80d72c8eac0b7273901f591360acfba6e69cc77a69a2664a8e28fe1","observation_id":"c36fc142-261f-4d6e-af43-fd052f8f2dcc","resolution":{"observed_at":"2026-08-04T08:58:27.971026Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:51.829181Z","title":"Quantum field theory and the Jones polynomial","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":86,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:51.829181Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:f4755684f39859b49c9640ba3fe6561208b7afae033aecf54e8571b996f9abae","observation_id":"f76d3d52-6b94-412b-af30-9cc0810635cb","resolution":{"observed_at":"2026-08-04T08:56:51.829181Z","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":"2026-08-04T08:56:51.910323Z","title":"TFT construction of RCFT correlators I : Partition functions","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":87,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:51.910323Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:ff0849f5090f2a9513f32a840c81f935e741abd78f440be556cd6aa7c745acb5","observation_id":"eaf9bd8b-073c-4577-aaa9-3e3180666606","resolution":{"observed_at":"2026-08-04T08:56:51.910323Z","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":"2026-08-04T08:56:51.974225Z","title":"TFT construction of RCFT correlators II : Unoriented world sheets","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":88,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:51.974225Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:c7c80590f59a5967b005a205f272f48488627763d3d26d592f7557e03a030cfd","observation_id":"7ba8643f-4864-478a-8b3e-896d372603ba","resolution":{"observed_at":"2026-08-04T08:56:51.974225Z","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":"2026-08-04T08:56:52.032969Z","title":"Entanglement spectrum of topological insulators and superconductors","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":89,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:52.032969Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:10870fa479c470e1de33d2b5096e7acf077d8dedb11121d725c2f02cc07bebb5","observation_id":"ba97af2b-78b1-4bc0-96ba-855a21d56bc9","resolution":{"observed_at":"2026-08-04T08:56:52.032969Z","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":"2026-08-04T08:56:52.100974Z","title":"Finite group modular data","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":90,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:52.100974Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:5886c06b7aa4aa08ec58c586927c60a4c13162bbd31afa15e0803f5e36661c26","observation_id":"8dda2a5a-bd5b-4eaa-9a0a-2091e34b3b02","resolution":{"observed_at":"2026-08-04T08:56:52.100974Z","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":"2026-08-04T08:56:52.201731Z","title":"Dijkgraaf, V","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":91,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:52.201731Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:726767e4e449fef5f7e6921daa21fb07df75c8970ed6415ff30d96aeca32c018","observation_id":"108eb1a6-3a4c-4932-9656-8051e17b87ba","resolution":{"observed_at":"2026-08-04T08:56:52.201731Z","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":"2026-08-04T08:56:52.267506Z","title":"Gruppentheorie und ihre anwendung auf die quantenmechanik der atomspektren","venue":null,"work_id":null,"year":1931},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":92,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:52.267506Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:4b31853a7174126749f04bade0cdff4978c7f0e7d87b5680cf081cd47377b6bf","observation_id":"16656393-5648-4e61-8553-3dd5a74e02be","resolution":{"observed_at":"2026-08-04T08:56:52.267506Z","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":"2026-08-04T08:56:52.345078Z","title":"The threefold way","venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":93,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:52.345078Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:e3a94575d867c6cc84624c0341215bcf0df5309057b559a657974ad10d9fa7a9","observation_id":"ba210d06-e5d0-4d52-9f67-ae40cea285b2","resolution":{"observed_at":"2026-08-04T08:56:52.345078Z","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":"2026-08-04T08:56:52.440125Z","title":"Asaeda and U","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":94,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:52.440125Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:0f911d0d15e2529b82e7fa49a9412c7dc4c60bf8364bfe5f5b72ed95c2c140de","observation_id":"3cdc91f3-6d05-42f7-b68e-5bae7d3aa973","resolution":{"observed_at":"2026-08-04T08:56:52.440125Z","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/jhep03(2020)167","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Ibieta-Jimenez , M","venue":"Journal of High Energy Physics","work_id":"7d0ac474-deca-4554-a8d3-c825b4cd8195","year":2020},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":95,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:52.549237Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:ddea389ce4345938d26108aa782a68d54c2f72df06cce2ce6e71782ac4d7daf7","observation_id":"954c6641-2eeb-4492-a49f-97fe1c786fcf","resolution":{"observed_at":"2026-08-04T08:58:27.637806Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-04T08:56:52.631317Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":96,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:52.631317Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:a12f35e32922901e98bf6eaad6c734d77c846d34547a0f3b1c686b497fa6c7c8","observation_id":"3a4236dc-687d-416d-9654-4d8e1682d463","resolution":{"observed_at":"2026-08-04T08:56:52.631317Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0407275","last_updated":"2004-07-27T17:00:44Z","snapshot_observed_at":"2026-07-07T05:42:21.148360Z","submitted_at":"2004-07-15T13:26:31Z","title":"Nonabelian Algebraic Topology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0407275","snapshot_observed_at":"2026-08-04T08:56:52.732683Z","title":"Nonabelian algebraic topology","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":97,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:52.732683Z"},"links":{"cited_paper":"/paper/math/0407275","citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:41f08d4a6260382022ee611bcc96ffccfa1d52af472ff7f86e54dbb4bef99c6c","observation_id":"f5b085e7-17ce-4543-b137-af7a45376d11","resolution":{"observed_at":"2026-08-04T08:56:52.732683Z","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":"2026-08-04T08:56:52.805631Z","title":"Tannakian categories","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":98,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:52.805631Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:5063407409db021ec47dbe5153eb12f53c900b583b3221ca48c7c01dcf825929","observation_id":"e62baf5b-6a7d-40cc-83e7-ac81d0c182b9","resolution":{"observed_at":"2026-08-04T08:56:52.805631Z","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":"2026-08-04T08:56:52.909027Z","title":"Multi wavefunction overlap and multi entropy for topological ground states in (2+1) dimensions, October 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":99,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:52.909027Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:6bf2125aafab3118734e777d1cc9f58df95c3a43ba15f2589e96ccbf6f27cd93","observation_id":"a863d4fd-0ae3-4764-b004-596a4e044757","resolution":{"observed_at":"2026-08-04T08:56:52.909027Z","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":"2026-08-04T08:56:52.999331Z","title":"Lessa, Meng Cheng, and Chong Wang","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries","version":1},"reference_index":100,"source":"arxiv_source","source_observed_at":"2026-08-04T08:56:52.999331Z"},"links":{"citing_paper":"/paper/2510.18350"},"observation_digest":"sha256:58fc8f3c8388f351ed9c115b54e0ed5eafeeb136f49f853af0350af333ee9892","observation_id":"0d07dc81-11a2-4dee-b11c-fce0e20b8bc4","resolution":{"observed_at":"2026-08-04T08:56:52.999331Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2510.18350","last_updated":"2025-10-21T07:11:06Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-10T05:19:16.841781Z","submitted_at":"2025-10-21T07:11:06Z","title":"Entanglement Spectrum Resolved by Loop Symmetries"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":82,"verified_exact":18,"verified_fuzzy":0},"total_outbound_references":123},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 100 of 123 outbound references and 0 inbound Pith citation observations for arXiv:2510.18350."}