{"as_of":"2026-08-09T17:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:dfe0675e83d5458091e5572befe42cd4bd0e0775cd95c9b50b78aa709140515a","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":9,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T18:49:51.366100Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T11:58:07.165843Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.09717","last_updated":"2025-03-12T18:08:22Z","snapshot_observed_at":"2026-08-07T17:09:16.918628Z","submitted_at":"2025-03-12T18:08:22Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.09717","snapshot_observed_at":"2026-08-06T18:49:51.366100Z","title":"Seifnashri and W","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.07430","last_updated":"2025-07-14T19:33:05Z","snapshot_observed_at":"2026-08-09T01:57:18.713565Z","submitted_at":"2025-07-10T04:56:21Z","title":"Anomaly diagnosis via symmetry restriction in two-dimensional lattice systems","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T18:49:51.366100Z"},"links":{"cited_paper":"/paper/2503.09717","citing_paper":"/paper/2507.07430"},"observation_digest":"sha256:caad6929cc0d1296a51729db9d9783b469abb263276ac8d3c04ce0fd801d9439","observation_id":"bc170b93-7833-4caf-a3e5-3620f82ca287","resolution":{"observed_at":"2026-08-06T18:49:51.366100Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.09717","last_updated":"2025-03-12T18:08:22Z","snapshot_observed_at":"2026-08-07T17:09:16.918628Z","submitted_at":"2025-03-12T18:08:22Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.09717","snapshot_observed_at":"2026-08-06T13:17:31.452357Z","title":"Seifnashri and W","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.21267","last_updated":"2025-07-28T18:48:39Z","snapshot_observed_at":"2026-08-09T16:01:07.520704Z","submitted_at":"2025-07-28T18:48:39Z","title":"Anomaly-free symmetries with obstructions to gauging and onsiteability","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T13:17:31.452357Z"},"links":{"cited_paper":"/paper/2503.09717","citing_paper":"/paper/2507.21267"},"observation_digest":"sha256:470419d01184efaf5999f55f2e3c6ceadeb01b4f51445c8e7ba49eb9d5b15472","observation_id":"21b24faf-1569-4373-9cbe-5eedc3249035","resolution":{"observed_at":"2026-08-06T13:17:31.452357Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.09717","last_updated":"2025-03-12T18:08:22Z","snapshot_observed_at":"2026-08-07T17:09:16.918628Z","submitted_at":"2025-03-12T18:08:22Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.09717","snapshot_observed_at":"2026-08-05T10:58:32.513648Z","title":"Seifnashri and W","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.03600","last_updated":"2025-09-03T18:01:22Z","snapshot_observed_at":"2026-08-09T13:11:36.422573Z","submitted_at":"2025-09-03T18:01:22Z","title":"Trading Mathematical for Physical Simplicity: Bialgebraic Structures in Matrix Product Operator Symmetries","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T10:58:32.513648Z"},"links":{"cited_paper":"/paper/2503.09717","citing_paper":"/paper/2509.03600"},"observation_digest":"sha256:8a3131e6086dd2cc87b750e4f185778c8b46a950055400a69398fddda18cbbd2","observation_id":"4cd112df-c0a9-4180-ad39-52ce17ede459","resolution":{"observed_at":"2026-08-05T10:58:32.513648Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.09717","last_updated":"2025-03-12T18:08:22Z","snapshot_observed_at":"2026-08-07T17:09:16.918628Z","submitted_at":"2025-03-12T18:08:22Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","version":1},"cited_work":{"arxiv_id":"2503.09717","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.09717","snapshot_observed_at":"2026-07-03T11:58:07.165843Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","venue":null,"work_id":"89545bba-8e70-4af0-b48b-5005c9f02d05","year":2026},"citing_paper":{"arxiv_id":"2510.23701","last_updated":"2025-10-27T18:00:00Z","snapshot_observed_at":"2026-07-09T23:18:06.399917Z","submitted_at":"2025-10-27T18:00:00Z","title":"Onsiteability of Higher-Form Symmetries","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-18T03:18:47.456335Z"},"links":{"cited_paper":"/paper/2503.09717","citing_paper":"/paper/2510.23701"},"observation_digest":"sha256:5294f54d59c4910af1f39dffe8a8f02f021f7c6a08c4b397953493c70809b587","observation_id":"e603cb97-2244-4e05-945a-91e4b96cb027","resolution":{"observed_at":"2026-05-18T03:20:48.858659Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.09717","last_updated":"2025-03-12T18:08:22Z","snapshot_observed_at":"2026-08-07T17:09:16.918628Z","submitted_at":"2025-03-12T18:08:22Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.09717","snapshot_observed_at":"2026-08-03T09:26:55.209647Z","title":"Seifnashri and W","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2601.14359","last_updated":"2026-07-10T13:08:13Z","snapshot_observed_at":"2026-08-08T21:13:40.905018Z","submitted_at":"2026-01-20T19:00:00Z","title":"Exactly Solvable 1+1d Chiral Lattice Gauge Theories","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T09:26:55.209647Z"},"links":{"cited_paper":"/paper/2503.09717","citing_paper":"/paper/2601.14359"},"observation_digest":"sha256:262f0f85d6907b45295097f6da323a30eb7dd477d7e7934e37ec5889418926b1","observation_id":"a00411d8-ddf8-4582-a540-9e739ce9355c","resolution":{"observed_at":"2026-08-03T09:26:55.209647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.09717","last_updated":"2025-03-12T18:08:22Z","snapshot_observed_at":"2026-08-07T17:09:16.918628Z","submitted_at":"2025-03-12T18:08:22Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","version":1},"cited_work":{"arxiv_id":"2503.09717","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.09717","snapshot_observed_at":"2026-07-03T11:58:07.165843Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","venue":null,"work_id":"89545bba-8e70-4af0-b48b-5005c9f02d05","year":2026},"citing_paper":{"arxiv_id":"2604.00347","last_updated":"2026-04-29T13:00:48Z","snapshot_observed_at":"2026-08-02T09:30:53.262883Z","submitted_at":"2026-04-01T00:53:03Z","title":"Lieb-Schultz-Mattis Anomalies and Anomaly Matching","version":2},"reference_index":106,"source":"pdf_text","source_observed_at":"2026-05-13T22:38:46.850119Z"},"links":{"cited_paper":"/paper/2503.09717","citing_paper":"/paper/2604.00347"},"observation_digest":"sha256:dfa9990be48debbf4dc6ea86fe15817cb45a2e302860b00a4bb8345a99026d21","observation_id":"ca56fa80-6dca-4724-8238-04805b2ae735","resolution":{"observed_at":"2026-05-13T22:43:23.423791Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.09717","last_updated":"2025-03-12T18:08:22Z","snapshot_observed_at":"2026-08-07T17:09:16.918628Z","submitted_at":"2025-03-12T18:08:22Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","version":1},"cited_work":{"arxiv_id":"2503.09717","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.09717","snapshot_observed_at":"2026-07-03T11:58:07.165843Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","venue":null,"work_id":"89545bba-8e70-4af0-b48b-5005c9f02d05","year":2026},"citing_paper":{"arxiv_id":"2605.04159","last_updated":"2026-05-31T09:23:57Z","snapshot_observed_at":"2026-08-03T04:48:13.385469Z","submitted_at":"2026-05-05T18:00:32Z","title":"Establishing Mixed-State Phase Equivalence beyond Renormalization Fixed Points","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-08T18:06:58.176527Z"},"links":{"cited_paper":"/paper/2503.09717","citing_paper":"/paper/2605.04159"},"observation_digest":"sha256:8b65a77cf8cef2470aeb517a0aef7846ad544c39d10b1571350f66c6b45db7d8","observation_id":"fd808f8a-26a6-4169-9ad1-69356d6fdeaf","resolution":{"observed_at":"2026-05-09T06:45:44.584837Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.09717","last_updated":"2025-03-12T18:08:22Z","snapshot_observed_at":"2026-08-07T17:09:16.918628Z","submitted_at":"2025-03-12T18:08:22Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","version":1},"cited_work":{"arxiv_id":"2503.09717","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.09717","snapshot_observed_at":"2026-07-03T11:58:07.165843Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","venue":null,"work_id":"89545bba-8e70-4af0-b48b-5005c9f02d05","year":2026},"citing_paper":{"arxiv_id":"2605.04159","last_updated":"2026-05-31T09:23:57Z","snapshot_observed_at":"2026-08-03T04:48:13.385469Z","submitted_at":"2026-05-05T18:00:32Z","title":"Establishing Mixed-State Phase Equivalence beyond Renormalization Fixed Points","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-06-30T23:51:01.473850Z"},"links":{"cited_paper":"/paper/2503.09717","citing_paper":"/paper/2605.04159"},"observation_digest":"sha256:22327c7be622aac1a4efd4068cd654596a8cf07e0cf88a3a04e736ccbf4fe3fc","observation_id":"7ecb07bf-923f-4c8b-aee0-3251d59276c9","resolution":{"observed_at":"2026-07-01T13:15:45.557249Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.09717","last_updated":"2025-03-12T18:08:22Z","snapshot_observed_at":"2026-08-07T17:09:16.918628Z","submitted_at":"2025-03-12T18:08:22Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","version":1},"cited_work":{"arxiv_id":"2503.09717","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.09717","snapshot_observed_at":"2026-07-03T11:58:07.165843Z","title":"Disentangling anomaly-free symmetries of quantum spin chains","venue":null,"work_id":"89545bba-8e70-4af0-b48b-5005c9f02d05","year":2026},"citing_paper":{"arxiv_id":"2606.12510","last_updated":"2026-06-10T18:00:00Z","snapshot_observed_at":"2026-08-02T01:02:16.372751Z","submitted_at":"2026-06-10T18:00:00Z","title":"Infinite-Order Lattice Chiral Anomalies and CPT","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-27T09:09:32.548222Z"},"links":{"cited_paper":"/paper/2503.09717","citing_paper":"/paper/2606.12510"},"observation_digest":"sha256:eb33e87da49943a6c1559023423986563ee5fe370fe728f19cf9fad3f7ec9d61","observation_id":"cd3f5957-0cc9-4c7b-8e5d-b0782aa8d609","resolution":{"observed_at":"2026-07-03T11:58:07.167299Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2503.09717/citation-record","integrity":"/paper/2503.09717/integrity","json":"/paper/2503.09717/citation-record.json","paper":"/paper/2503.09717"},"outbound":[],"paper":{"arxiv_id":"2503.09717","last_updated":"2025-03-12T18:08:22Z","latest_version":1,"primary_category":"cond-mat.str-el","snapshot_observed_at":"2026-08-07T17:09:16.918628Z","submitted_at":"2025-03-12T18:08:22Z","title":"Disentangling anomaly-free symmetries of quantum spin chains"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2503.09717."}