{"as_of":"2026-08-10T06:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e541db1bd157d19937b79cbf8c1e7d3ea3a5399c6fde819f9f591282bbf10cdd","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":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T06:08:09.415098Z","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":"2026-06-30T23:15:08.306747Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.09277","last_updated":"2024-09-16T12:57:59Z","snapshot_observed_at":"2026-07-06T18:14:41.996656Z","submitted_at":"2024-05-15T11:46:52Z","title":"Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation","version":5},"cited_work":{"arxiv_id":"2405.09277","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.09277","snapshot_observed_at":"2026-06-30T23:15:08.306747Z","title":"Jia,Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation,JHEP09(2024) 147, arXiv:2405.09277 [quant-ph]","venue":null,"work_id":"886aea5a-b4f0-4703-b6e8-eb8cb7f35c2c","year":2024},"citing_paper":{"arxiv_id":"2511.11059","last_updated":"2026-04-08T02:12:49Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-11-14T08:17:29Z","title":"Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls","version":3},"reference_index":194,"source":"pdf_text","source_observed_at":"2026-05-17T22:50:14.741276Z"},"links":{"cited_paper":"/paper/2405.09277","citing_paper":"/paper/2511.11059"},"observation_digest":"sha256:f4837cd805eb93de4430c9d4cadc4eeddfecebec9ffb417c9cc42a962571c14d","observation_id":"dd6aec03-6366-42a6-88c1-0f5f4e147aa7","resolution":{"observed_at":"2026-05-17T22:50:25.625961Z","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":"2405.09277","last_updated":"2024-09-16T12:57:59Z","snapshot_observed_at":"2026-07-06T18:14:41.996656Z","submitted_at":"2024-05-15T11:46:52Z","title":"Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation","version":5},"cited_work":{"arxiv_id":"2405.09277","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.09277","snapshot_observed_at":"2026-06-30T23:15:08.306747Z","title":"Jia,Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation,JHEP09(2024) 147, arXiv:2405.09277 [quant-ph]","venue":null,"work_id":"886aea5a-b4f0-4703-b6e8-eb8cb7f35c2c","year":2024},"citing_paper":{"arxiv_id":"2605.07734","last_updated":"2026-08-03T13:30:05Z","snapshot_observed_at":"2026-08-06T23:31:04.621272Z","submitted_at":"2026-05-08T13:41:03Z","title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","version":1},"reference_index":181,"source":"pdf_text","source_observed_at":"2026-05-11T03:23:34.161611Z"},"links":{"cited_paper":"/paper/2405.09277","citing_paper":"/paper/2605.07734"},"observation_digest":"sha256:53157113c4ba638e518e14c7726bbac8ba882c6c9a373b55b6428e899c6cc04c","observation_id":"12e7bfbd-9a35-4525-bec4-7e9e49c2d7b2","resolution":{"observed_at":"2026-05-11T03:25:57.170917Z","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":"2405.09277","last_updated":"2024-09-16T12:57:59Z","snapshot_observed_at":"2026-07-06T18:14:41.996656Z","submitted_at":"2024-05-15T11:46:52Z","title":"Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation","version":5},"cited_work":{"arxiv_id":"2405.09277","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.09277","snapshot_observed_at":"2026-06-30T23:15:08.306747Z","title":"Jia,Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation,JHEP09(2024) 147, arXiv:2405.09277 [quant-ph]","venue":null,"work_id":"886aea5a-b4f0-4703-b6e8-eb8cb7f35c2c","year":2024},"citing_paper":{"arxiv_id":"2605.07734","last_updated":"2026-08-03T13:30:05Z","snapshot_observed_at":"2026-08-06T23:31:04.621272Z","submitted_at":"2026-05-08T13:41:03Z","title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","version":2},"reference_index":184,"source":"pdf_text","source_observed_at":"2026-05-20T22:59:26.266718Z"},"links":{"cited_paper":"/paper/2405.09277","citing_paper":"/paper/2605.07734"},"observation_digest":"sha256:508b13c3c38d4d69dcb2ad62b09653c289956eb386c06384853be1e3d0916c12","observation_id":"5abce702-1f6e-46ec-b51c-ce5fd73d03e2","resolution":{"observed_at":"2026-05-20T23:03:51.783050Z","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":"2405.09277","last_updated":"2024-09-16T12:57:59Z","snapshot_observed_at":"2026-07-06T18:14:41.996656Z","submitted_at":"2024-05-15T11:46:52Z","title":"Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation","version":5},"cited_work":{"arxiv_id":"2405.09277","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.09277","snapshot_observed_at":"2026-06-30T23:15:08.306747Z","title":"Jia,Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation,JHEP09(2024) 147, arXiv:2405.09277 [quant-ph]","venue":null,"work_id":"886aea5a-b4f0-4703-b6e8-eb8cb7f35c2c","year":2024},"citing_paper":{"arxiv_id":"2605.07734","last_updated":"2026-08-03T13:30:05Z","snapshot_observed_at":"2026-08-06T23:31:04.621272Z","submitted_at":"2026-05-08T13:41:03Z","title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","version":3},"reference_index":178,"source":"pdf_text","source_observed_at":"2026-06-30T23:13:18.266390Z"},"links":{"cited_paper":"/paper/2405.09277","citing_paper":"/paper/2605.07734"},"observation_digest":"sha256:e52d959c2ab7e92be921a17c925314f4e84dd14dbfe4b54cac0356401030fc98","observation_id":"e817c0b0-d307-4c83-acd4-abefab8c10c1","resolution":{"observed_at":"2026-06-30T23:15:08.308488Z","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":"2405.09277","last_updated":"2024-09-16T12:57:59Z","snapshot_observed_at":"2026-07-06T18:14:41.996656Z","submitted_at":"2024-05-15T11:46:52Z","title":"Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.09277","snapshot_observed_at":"2026-08-04T05:19:23.300363Z","title":"Jia,Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation,JHEP09(2024) 147, arXiv:2405.09277 [quant-ph]","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.07734","last_updated":"2026-08-03T13:30:05Z","snapshot_observed_at":"2026-08-06T23:31:04.621272Z","submitted_at":"2026-05-08T13:41:03Z","title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","version":4},"reference_index":177,"source":"pdf_text","source_observed_at":"2026-08-04T05:19:23.300363Z"},"links":{"cited_paper":"/paper/2405.09277","citing_paper":"/paper/2605.07734"},"observation_digest":"sha256:4f82e895531fd522c56690a8f628db96720291e54d5fc884ead74eb9341f2d03","observation_id":"d4b52cfe-a6e5-4796-833d-f477c6c0dead","resolution":{"observed_at":"2026-08-04T05:19:23.300363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.09277","last_updated":"2024-09-16T12:57:59Z","snapshot_observed_at":"2026-07-06T18:14:41.996656Z","submitted_at":"2024-05-15T11:46:52Z","title":"Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.09277","snapshot_observed_at":"2026-08-06T06:08:09.415098Z","title":"Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.05071","last_updated":"2026-08-05T17:16:19Z","snapshot_observed_at":"2026-08-08T23:13:53.157181Z","submitted_at":"2026-08-05T17:16:19Z","title":"Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T06:08:09.415098Z"},"links":{"cited_paper":"/paper/2405.09277","citing_paper":"/paper/2608.05071"},"observation_digest":"sha256:168a116fb3539413af5f0efc2621accecbc9c02c44e79c56716bd440546e9f9d","observation_id":"8bb92f13-4bc9-4e10-8090-9fe3fbeb186c","resolution":{"observed_at":"2026-08-06T06:08:09.415098Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2405.09277/citation-record","integrity":"/paper/2405.09277/integrity","json":"/paper/2405.09277/citation-record.json","paper":"/paper/2405.09277"},"outbound":[],"paper":{"arxiv_id":"2405.09277","last_updated":"2024-09-16T12:57:59Z","latest_version":5,"primary_category":"quant-ph","snapshot_observed_at":"2026-07-06T18:14:41.996656Z","submitted_at":"2024-05-15T11:46:52Z","title":"Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation"},"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 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2405.09277."}