{"as_of":"2026-08-06T12:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1e673ba9c053c4f9c4460e0933f0514af656f1768295cf36807ff17e0bf73df5","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":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-06T06:34:29.942622+00:00","state":"measured"},{"denominator":10,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T22:32:13.307902Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-10T05:16:47.581363Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1008.3745","last_updated":"2010-09-05T16:49:40Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2010-08-23T04:08:40Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","version":2},"cited_work":{"arxiv_id":"1008.3745","doi":null,"metadata_source":"pith","pith_arxiv_id":"1008.3745","snapshot_observed_at":"2026-07-10T05:16:47.581363Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","venue":"cond-mat.str-el","work_id":"8aa507f0-7484-4aa5-aba2-8cbca2404686","year":2010},"citing_paper":{"arxiv_id":"2405.15648","last_updated":"2026-05-05T16:05:38Z","snapshot_observed_at":"2026-08-04T21:54:56.303511Z","submitted_at":"2024-05-24T15:40:01Z","title":"Self-$G$-ality in 1+1 dimensions","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-24T00:34:34.943035Z"},"links":{"cited_paper":"/paper/1008.3745","citing_paper":"/paper/2405.15648"},"observation_digest":"sha256:84881dfde3ae47143d8b8a59262e1945a9bd54e7c57e9a61aa1822bdad993346","observation_id":"64ba8f36-ef39-4728-9aff-9ab5843ec3a9","resolution":{"observed_at":"2026-05-24T00:35:56.126106Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1008.3745","last_updated":"2010-09-05T16:49:40Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2010-08-23T04:08:40Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","version":2},"cited_work":{"arxiv_id":"1008.3745","doi":null,"metadata_source":"pith","pith_arxiv_id":"1008.3745","snapshot_observed_at":"2026-07-10T05:16:47.581363Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","venue":"cond-mat.str-el","work_id":"8aa507f0-7484-4aa5-aba2-8cbca2404686","year":2010},"citing_paper":{"arxiv_id":"2506.23155","last_updated":"2026-03-21T02:04:11Z","snapshot_observed_at":"2026-07-31T18:11:20.507771Z","submitted_at":"2025-06-29T09:28:37Z","title":"Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders","version":4},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-05-19T08:04:49.812169Z"},"links":{"cited_paper":"/paper/1008.3745","citing_paper":"/paper/2506.23155"},"observation_digest":"sha256:246db8c6ecabef1b8b8cc7dcd5aac16cd9ab57826287f4df48f1ff316bc142ce","observation_id":"181d9e7d-5e17-414e-ae23-bf046a6519a1","resolution":{"observed_at":"2026-05-19T08:07:11.457466Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1008.3745","last_updated":"2010-09-05T16:49:40Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2010-08-23T04:08:40Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","version":2},"cited_work":{"arxiv_id":"1008.3745","doi":null,"metadata_source":"pith","pith_arxiv_id":"1008.3745","snapshot_observed_at":"2026-07-10T05:16:47.581363Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","venue":"cond-mat.str-el","work_id":"8aa507f0-7484-4aa5-aba2-8cbca2404686","year":2010},"citing_paper":{"arxiv_id":"2601.01191","last_updated":"2026-04-11T01:15:32Z","snapshot_observed_at":"2026-07-06T22:40:36.452423Z","submitted_at":"2026-01-03T14:17:09Z","title":"Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-16T17:56:24.731142Z"},"links":{"cited_paper":"/paper/1008.3745","citing_paper":"/paper/2601.01191"},"observation_digest":"sha256:fafce7333fb3e7bfc20631524a18c232cd327bf756855ee766dad2b2ce586b58","observation_id":"62c30b6a-4c50-4e96-89ef-a857a8ed6bfb","resolution":{"observed_at":"2026-05-16T17:58:12.754423Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1008.3745","last_updated":"2010-09-05T16:49:40Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2010-08-23T04:08:40Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","version":2},"cited_work":{"arxiv_id":"1008.3745","doi":null,"metadata_source":"pith","pith_arxiv_id":"1008.3745","snapshot_observed_at":"2026-07-10T05:16:47.581363Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","venue":"cond-mat.str-el","work_id":"8aa507f0-7484-4aa5-aba2-8cbca2404686","year":2010},"citing_paper":{"arxiv_id":"2602.11696","last_updated":"2026-04-07T06:24:20Z","snapshot_observed_at":"2026-08-02T06:40:28.269146Z","submitted_at":"2026-02-12T08:22:02Z","title":"Symmetry Spans and Enforced Gaplessness","version":2},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-05-16T03:25:08.257953Z"},"links":{"cited_paper":"/paper/1008.3745","citing_paper":"/paper/2602.11696"},"observation_digest":"sha256:3c3d6f75bb5c71359343b71acf9d3eb4ee92d1685408251510f9e67bbc9af7ac","observation_id":"5782cc4f-dcc0-42b0-9f61-d8d68fcb222d","resolution":{"observed_at":"2026-05-16T03:27:13.275338Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1008.3745","last_updated":"2010-09-05T16:49:40Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2010-08-23T04:08:40Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1008.3745","snapshot_observed_at":"2026-08-02T22:32:13.307902Z","title":"Chen, Z.-C","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2602.16770","last_updated":"2026-07-23T11:39:36Z","snapshot_observed_at":"2026-08-04T23:20:29.021669Z","submitted_at":"2026-02-18T19:00:00Z","title":"From Multipartite Entanglement to TQFT","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-02T22:32:13.307902Z"},"links":{"cited_paper":"/paper/1008.3745","citing_paper":"/paper/2602.16770"},"observation_digest":"sha256:e67f60ab043d5958e1e98f51208ff3a81d82df5823d3992acb1ec985dd77f7df","observation_id":"c89e9e25-8ffa-4a35-baf0-dd72ea59cf39","resolution":{"observed_at":"2026-08-02T22:32:13.307902Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1008.3745","last_updated":"2010-09-05T16:49:40Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2010-08-23T04:08:40Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","version":2},"cited_work":{"arxiv_id":"1008.3745","doi":null,"metadata_source":"pith","pith_arxiv_id":"1008.3745","snapshot_observed_at":"2026-07-10T05:16:47.581363Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","venue":"cond-mat.str-el","work_id":"8aa507f0-7484-4aa5-aba2-8cbca2404686","year":2010},"citing_paper":{"arxiv_id":"2603.19381","last_updated":"2026-04-24T02:22:58Z","snapshot_observed_at":"2026-08-02T15:28:50.382828Z","submitted_at":"2026-03-19T18:18:20Z","title":"Matrix Product States for Modulated Topological Phases: Crystalline Equivalence Principle and Lieb-Schultz-Mattis Constraints","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-15T07:54:14.651087Z"},"links":{"cited_paper":"/paper/1008.3745","citing_paper":"/paper/2603.19381"},"observation_digest":"sha256:7d66259a04e184656f14ee9d0eda88f2957f262b7b55b1a129dc30aab567e47d","observation_id":"8b3b9250-930f-4917-94b9-721aa8abfb19","resolution":{"observed_at":"2026-05-15T07:55:15.017282Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1008.3745","last_updated":"2010-09-05T16:49:40Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2010-08-23T04:08:40Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","version":2},"cited_work":{"arxiv_id":"1008.3745","doi":null,"metadata_source":"pith","pith_arxiv_id":"1008.3745","snapshot_observed_at":"2026-07-10T05:16:47.581363Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","venue":"cond-mat.str-el","work_id":"8aa507f0-7484-4aa5-aba2-8cbca2404686","year":2010},"citing_paper":{"arxiv_id":"2605.28925","last_updated":"2026-05-27T18:00:00Z","snapshot_observed_at":"2026-08-06T07:30:36.589203Z","submitted_at":"2026-05-27T18:00:00Z","title":"A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-29T11:42:51.655279Z"},"links":{"cited_paper":"/paper/1008.3745","citing_paper":"/paper/2605.28925"},"observation_digest":"sha256:b1b5c94fc42406066b4e79803dd0964e8454004075bfe7542c3f5db774807d0d","observation_id":"b9adc248-2181-432a-aa93-e8a9328ce78e","resolution":{"observed_at":"2026-06-29T11:43:23.220183Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1008.3745","last_updated":"2010-09-05T16:49:40Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2010-08-23T04:08:40Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","version":2},"cited_work":{"arxiv_id":"1008.3745","doi":null,"metadata_source":"pith","pith_arxiv_id":"1008.3745","snapshot_observed_at":"2026-07-10T05:16:47.581363Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","venue":"cond-mat.str-el","work_id":"8aa507f0-7484-4aa5-aba2-8cbca2404686","year":2010},"citing_paper":{"arxiv_id":"2606.06343","last_updated":"2026-06-04T16:16:09Z","snapshot_observed_at":"2026-08-06T09:07:04.609793Z","submitted_at":"2026-06-04T16:16:09Z","title":"$E_\\infty^{1,2}$-type Lieb-Schultz-Mattis anomalies, deconfined quantum critical points, and non-invertible symmetry breaking","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-06-27T23:27:15.876739Z"},"links":{"cited_paper":"/paper/1008.3745","citing_paper":"/paper/2606.06343"},"observation_digest":"sha256:ab5a7657e579959bb0a016f532f781af3b9e52df125016845a7f5a35008993b2","observation_id":"363d533f-4bc7-495e-8a87-f4cad194a050","resolution":{"observed_at":"2026-07-02T15:47:06.546102Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1008.3745","last_updated":"2010-09-05T16:49:40Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2010-08-23T04:08:40Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","version":2},"cited_work":{"arxiv_id":"1008.3745","doi":null,"metadata_source":"pith","pith_arxiv_id":"1008.3745","snapshot_observed_at":"2026-07-10T05:16:47.581363Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","venue":"cond-mat.str-el","work_id":"8aa507f0-7484-4aa5-aba2-8cbca2404686","year":2010},"citing_paper":{"arxiv_id":"2606.08558","last_updated":"2026-06-07T10:30:15Z","snapshot_observed_at":"2026-08-03T02:35:16.094246Z","submitted_at":"2026-06-07T10:30:15Z","title":"Microscopic universal theory of symmetry-enriched topological quantum spin liquids","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-06-27T18:15:03.426811Z"},"links":{"cited_paper":"/paper/1008.3745","citing_paper":"/paper/2606.08558"},"observation_digest":"sha256:547cb48051f21bbf46f01517b57c35ccf3fcc16e71e1c753c2e6fe443049fc56","observation_id":"73c15edd-7423-4dc9-bf66-b4c4c7e9bd94","resolution":{"observed_at":"2026-07-02T23:27:27.322060Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1008.3745","last_updated":"2010-09-05T16:49:40Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2010-08-23T04:08:40Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","version":2},"cited_work":{"arxiv_id":"1008.3745","doi":null,"metadata_source":"pith","pith_arxiv_id":"1008.3745","snapshot_observed_at":"2026-07-10T05:16:47.581363Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems","venue":"cond-mat.str-el","work_id":"8aa507f0-7484-4aa5-aba2-8cbca2404686","year":2010},"citing_paper":{"arxiv_id":"2607.08568","last_updated":"2026-07-09T14:56:47Z","snapshot_observed_at":"2026-08-06T02:36:16.182560Z","submitted_at":"2026-07-09T14:56:47Z","title":"Renormalization flows for 1D mixed states and a quantum Goursat lemma","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/1008.3745","citing_paper":"/paper/2607.08568"},"observation_digest":"sha256:c1db28f67a8406257781f63d54a9d651693c1c73810e5b2f4001ea38f0ae80aa","observation_id":"f4c1f92e-5a71-4b4e-94df-767039522328","resolution":{"observed_at":"2026-07-10T05:16:47.583152Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1008.3745/citation-record","integrity":"/paper/1008.3745/integrity","json":"/paper/1008.3745/citation-record.json","paper":"/paper/1008.3745"},"outbound":[],"paper":{"arxiv_id":"1008.3745","last_updated":"2010-09-05T16:49:40Z","latest_version":2,"primary_category":"cond-mat.str-el","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2010-08-23T04:08:40Z","title":"Classification of Gapped Symmetric Phases in 1D Spin Systems"},"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":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"thesis":"As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:1008.3745."}