{"as_of":"2026-08-09T18:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d87a95d7fefed786f5ba2d323d597389cb4e4d62a00785fc878f36bd0f433d86","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":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":11,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:29:04.635334Z","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":"2026-07-01T23:26:23.456689Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.17069","last_updated":"2024-05-16T01:33:12Z","snapshot_observed_at":"2026-08-09T09:57:57.030883Z","submitted_at":"2024-03-25T18:04:29Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","version":2},"cited_work":{"arxiv_id":"2403.17069","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.17069","snapshot_observed_at":"2026-07-01T23:26:23.456689Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","venue":null,"work_id":"4de0cb9a-66f9-4a79-902f-4fe52b7310c8","year":2024},"citing_paper":{"arxiv_id":"2406.19381","last_updated":"2026-05-05T08:06:31Z","snapshot_observed_at":"2026-07-06T18:38:05.229292Z","submitted_at":"2024-06-27T17:55:36Z","title":"Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-05-24T00:01:18.058415Z"},"links":{"cited_paper":"/paper/2403.17069","citing_paper":"/paper/2406.19381"},"observation_digest":"sha256:ba65e1aa5981ebb464b4b27ba3682df986cd9467f881df547dca6ba82b4cede5","observation_id":"1e9c6fdc-74ec-4439-9d73-7f7020d48d39","resolution":{"observed_at":"2026-05-24T00:03:39.230137Z","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":"2403.17069","last_updated":"2024-05-16T01:33:12Z","snapshot_observed_at":"2026-08-09T09:57:57.030883Z","submitted_at":"2024-03-25T18:04:29Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.17069","snapshot_observed_at":"2026-08-06T21:29:04.635334Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.00127","last_updated":"2025-06-30T18:00:03Z","snapshot_observed_at":"2026-08-09T07:32:04.755440Z","submitted_at":"2025-06-30T18:00:03Z","title":"Detection of 2D SPT phases under decoherence","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T21:29:04.635334Z"},"links":{"cited_paper":"/paper/2403.17069","citing_paper":"/paper/2507.00127"},"observation_digest":"sha256:6166a490410927799b17d287bd560844f05d35284155954b9ef0bb1a49202123","observation_id":"2c880ed6-a7f1-45a6-a9f0-026be39264dc","resolution":{"observed_at":"2026-08-06T21:29:04.635334Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.17069","last_updated":"2024-05-16T01:33:12Z","snapshot_observed_at":"2026-08-09T09:57:57.030883Z","submitted_at":"2024-03-25T18:04:29Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.17069","snapshot_observed_at":"2026-08-06T20:44:23.183325Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.02292","last_updated":"2025-07-25T18:39:08Z","snapshot_observed_at":"2026-08-08T00:49:34.815340Z","submitted_at":"2025-07-03T03:59:07Z","title":"Mixed-state phases from local reversibility","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T20:44:23.183325Z"},"links":{"cited_paper":"/paper/2403.17069","citing_paper":"/paper/2507.02292"},"observation_digest":"sha256:aa44fb32603ce12316fb6b7046a41c61625df5990b8790ad3bd56748e2af60c1","observation_id":"5e795b9d-d6a2-4898-8161-26407b410fcd","resolution":{"observed_at":"2026-08-06T20:44:23.183325Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.17069","last_updated":"2024-05-16T01:33:12Z","snapshot_observed_at":"2026-08-09T09:57:57.030883Z","submitted_at":"2024-03-25T18:04:29Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.17069","snapshot_observed_at":"2026-08-06T19:16:51.192129Z","title":"Tensor network formulation of symmetry protected topologi- cal phases in mixed states,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.06218","last_updated":"2025-07-08T17:51:00Z","snapshot_observed_at":"2026-08-08T16:53:37.750448Z","submitted_at":"2025-07-08T17:51:00Z","title":"Topological Holography for Mixed-State Phases and Phase Transitions","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-06T19:16:51.192129Z"},"links":{"cited_paper":"/paper/2403.17069","citing_paper":"/paper/2507.06218"},"observation_digest":"sha256:fad48edf66013f575642f138333603fe1350ebc9fda5027d039515a5836f3807","observation_id":"24beda31-3f6b-4677-849a-267f6c1045a5","resolution":{"observed_at":"2026-08-06T19:16:51.192129Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.17069","last_updated":"2024-05-16T01:33:12Z","snapshot_observed_at":"2026-08-09T09:57:57.030883Z","submitted_at":"2024-03-25T18:04:29Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.17069","snapshot_observed_at":"2026-08-06T11:26:05.662699Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.22989","last_updated":"2025-07-30T18:00:04Z","snapshot_observed_at":"2026-08-06T11:25:59.221120Z","submitted_at":"2025-07-30T18:00:04Z","title":"Tensor Network Representations for Intrinsically Mixed-State Topological Orders","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T11:26:05.662699Z"},"links":{"cited_paper":"/paper/2403.17069","citing_paper":"/paper/2507.22989"},"observation_digest":"sha256:abf0fad33943e7654ebff4ba3eb154a6d4bbdf7719d8a90d37a9feb380bb6e5c","observation_id":"16c96d7c-3a02-4060-9783-b062de717a9b","resolution":{"observed_at":"2026-08-06T11:26:05.662699Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.17069","last_updated":"2024-05-16T01:33:12Z","snapshot_observed_at":"2026-08-09T09:57:57.030883Z","submitted_at":"2024-03-25T18:04:29Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","version":2},"cited_work":{"arxiv_id":"2403.17069","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.17069","snapshot_observed_at":"2026-07-01T23:26:23.456689Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","venue":null,"work_id":"4de0cb9a-66f9-4a79-902f-4fe52b7310c8","year":2024},"citing_paper":{"arxiv_id":"2509.24179","last_updated":"2026-04-16T02:12:27Z","snapshot_observed_at":"2026-08-08T08:52:22.219118Z","submitted_at":"2025-09-29T01:53:18Z","title":"Strong-to-weak spontaneous symmetry breaking of higher-form non-invertible symmetries in Kitaev's quantum double model","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-18T13:37:19.604351Z"},"links":{"cited_paper":"/paper/2403.17069","citing_paper":"/paper/2509.24179"},"observation_digest":"sha256:a04dc66381dfed4fcee4552b7bb5a2370c2a773f5bff951ebe1887393dbc0d01","observation_id":"35e25328-7037-45f4-b5ce-0cf57ddabbe4","resolution":{"observed_at":"2026-05-18T13:41:25.814077Z","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":"2403.17069","last_updated":"2024-05-16T01:33:12Z","snapshot_observed_at":"2026-08-09T09:57:57.030883Z","submitted_at":"2024-03-25T18:04:29Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","version":2},"cited_work":{"arxiv_id":"2403.17069","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.17069","snapshot_observed_at":"2026-07-01T23:26:23.456689Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","venue":null,"work_id":"4de0cb9a-66f9-4a79-902f-4fe52b7310c8","year":2024},"citing_paper":{"arxiv_id":"2602.10831","last_updated":"2026-04-09T15:47:10Z","snapshot_observed_at":"2026-07-06T22:45:29.609382Z","submitted_at":"2026-02-11T13:17:04Z","title":"Mixed-State Topology in Non-Hermitian Systems","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-05-16T03:16:14.782653Z"},"links":{"cited_paper":"/paper/2403.17069","citing_paper":"/paper/2602.10831"},"observation_digest":"sha256:20b72e3461d529aa64dd6d68f56cd318294803264c022d5321bb89b161316981","observation_id":"35e26aa2-7b5a-41e2-9422-4609f39f2075","resolution":{"observed_at":"2026-05-16T03:17:12.444233Z","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":"2403.17069","last_updated":"2024-05-16T01:33:12Z","snapshot_observed_at":"2026-08-09T09:57:57.030883Z","submitted_at":"2024-03-25T18:04:29Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","version":2},"cited_work":{"arxiv_id":"2403.17069","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.17069","snapshot_observed_at":"2026-07-01T23:26:23.456689Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","venue":null,"work_id":"4de0cb9a-66f9-4a79-902f-4fe52b7310c8","year":2024},"citing_paper":{"arxiv_id":"2605.27193","last_updated":"2026-05-26T15:45:35Z","snapshot_observed_at":"2026-08-08T05:59:46.124891Z","submitted_at":"2026-05-26T15:45:35Z","title":"Algebras of order parameters in one-dimensional spin systems","version":1},"reference_index":139,"source":"arxiv_source","source_observed_at":"2026-07-01T16:24:07.943937Z"},"links":{"cited_paper":"/paper/2403.17069","citing_paper":"/paper/2605.27193"},"observation_digest":"sha256:6ae15f9ec31fab056c5bf3854f4a7bd1c73d7df7902765d66398f9064d411ed2","observation_id":"cf1e11bb-4e63-48f1-a99f-9b2a397920e0","resolution":{"observed_at":"2026-07-01T16:25:49.584386Z","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":"2403.17069","last_updated":"2024-05-16T01:33:12Z","snapshot_observed_at":"2026-08-09T09:57:57.030883Z","submitted_at":"2024-03-25T18:04:29Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","version":2},"cited_work":{"arxiv_id":"2403.17069","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.17069","snapshot_observed_at":"2026-07-01T23:26:23.456689Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","venue":null,"work_id":"4de0cb9a-66f9-4a79-902f-4fe52b7310c8","year":2024},"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":29,"source":"pdf_text","source_observed_at":"2026-06-29T11:42:51.655279Z"},"links":{"cited_paper":"/paper/2403.17069","citing_paper":"/paper/2605.28925"},"observation_digest":"sha256:927f95945b0a4ed1ce520f7fe9beaa943445e857bc170f6963976b64c8776237","observation_id":"2ad640cd-bbd8-4a63-a508-28707a05bdba","resolution":{"observed_at":"2026-06-29T11:43:23.228687Z","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":"2403.17069","last_updated":"2024-05-16T01:33:12Z","snapshot_observed_at":"2026-08-09T09:57:57.030883Z","submitted_at":"2024-03-25T18:04:29Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","version":2},"cited_work":{"arxiv_id":"2403.17069","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.17069","snapshot_observed_at":"2026-07-01T23:26:23.456689Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","venue":null,"work_id":"4de0cb9a-66f9-4a79-902f-4fe52b7310c8","year":2024},"citing_paper":{"arxiv_id":"2606.02555","last_updated":"2026-06-08T05:12:17Z","snapshot_observed_at":"2026-07-06T23:42:58.036516Z","submitted_at":"2026-06-01T17:51:09Z","title":"Strong-to-Weak Spontaneous Symmetry Breaking","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-28T14:16:27.400490Z"},"links":{"cited_paper":"/paper/2403.17069","citing_paper":"/paper/2606.02555"},"observation_digest":"sha256:0c7ae5178270286e1dc9ebf32315a2f54dccea75d5dcb407d6326676260c584d","observation_id":"d8c342ce-85d7-49eb-bfec-7be8bd97fa82","resolution":{"observed_at":"2026-07-01T23:26:23.459657Z","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":"2403.17069","last_updated":"2024-05-16T01:33:12Z","snapshot_observed_at":"2026-08-09T09:57:57.030883Z","submitted_at":"2024-03-25T18:04:29Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.17069","snapshot_observed_at":"2026-08-01T09:37:33.130712Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.27321","last_updated":"2026-07-29T18:00:01Z","snapshot_observed_at":"2026-08-02T23:23:40.131210Z","submitted_at":"2026-07-29T18:00:01Z","title":"Spin-incoherent Mott-Thouless pumps","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-01T09:37:33.130712Z"},"links":{"cited_paper":"/paper/2403.17069","citing_paper":"/paper/2607.27321"},"observation_digest":"sha256:2fb03c2c6aa72d68da5b214e20cea427ab580537a05d64e29dba6ebc3eef6212","observation_id":"8c534cb7-ec42-4567-9886-c302c2de53c1","resolution":{"observed_at":"2026-08-01T09:37:33.130712Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2403.17069/citation-record","integrity":"/paper/2403.17069/integrity","json":"/paper/2403.17069/citation-record.json","paper":"/paper/2403.17069"},"outbound":[],"paper":{"arxiv_id":"2403.17069","last_updated":"2024-05-16T01:33:12Z","latest_version":2,"primary_category":"cond-mat.str-el","snapshot_observed_at":"2026-08-09T09:57:57.030883Z","submitted_at":"2024-03-25T18:04:29Z","title":"Tensor network formulation of symmetry protected topological phases in mixed states"},"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 11 inbound Pith citation observations for arXiv:2403.17069."}