{"as_of":"2026-08-06T10:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8b1de65109887f03d7c7ed05808786636d327f1207be322a517523c3e1f0d0e8","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-06T06:34:29.942622+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T08:37:53.035253Z","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":"2026-07-03T12:58:08.517437Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.22394","last_updated":"2025-07-30T05:28:27Z","snapshot_observed_at":"2026-08-05T22:50:22.090823Z","submitted_at":"2025-07-30T05:28:27Z","title":"Sequential Circuit as Generalized Symmetry on Lattice","version":1},"cited_work":{"arxiv_id":"2507.22394","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.22394","snapshot_observed_at":"2026-07-03T12:58:08.517437Z","title":"Sequential Circuit as Generalized Symmetry on Lat- tice","venue":null,"work_id":"046cf65f-c7ce-49d3-8c27-2aa2e713ce02","year":2025},"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":137,"source":"pdf_text","source_observed_at":"2026-05-16T03:25:08.257953Z"},"links":{"cited_paper":"/paper/2507.22394","citing_paper":"/paper/2602.11696"},"observation_digest":"sha256:96f008e08ad88fadd965b98983d7a047a5cccc27e6ac92b4ce3700663a439ab0","observation_id":"9d8f6219-480a-47df-9374-e244bc25ad23","resolution":{"observed_at":"2026-05-16T03:27:12.953114Z","resolver_source":"arxiv_id","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":"2507.22394","last_updated":"2025-07-30T05:28:27Z","snapshot_observed_at":"2026-08-05T22:50:22.090823Z","submitted_at":"2025-07-30T05:28:27Z","title":"Sequential Circuit as Generalized Symmetry on Lattice","version":1},"cited_work":{"arxiv_id":"2507.22394","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.22394","snapshot_observed_at":"2026-07-03T12:58:08.517437Z","title":"Sequential Circuit as Generalized Symmetry on Lat- tice","venue":null,"work_id":"046cf65f-c7ce-49d3-8c27-2aa2e713ce02","year":2025},"citing_paper":{"arxiv_id":"2605.12601","last_updated":"2026-08-04T13:44:39Z","snapshot_observed_at":"2026-08-06T10:24:54.329244Z","submitted_at":"2026-05-12T18:00:04Z","title":"Lattice Gauging Interfaces and Noninvertible Defects in Higher Dimensions","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-05-14T20:37:24.809017Z"},"links":{"cited_paper":"/paper/2507.22394","citing_paper":"/paper/2605.12601"},"observation_digest":"sha256:14b8ddd839c778cfaab6574c2cb89b24051ea4dbcc4efe8264b3a2292f87c66a","observation_id":"5c1935e3-db5f-46a3-808e-d46d560f9050","resolution":{"observed_at":"2026-05-14T20:37:58.396320Z","resolver_source":"arxiv_id","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":"2507.22394","last_updated":"2025-07-30T05:28:27Z","snapshot_observed_at":"2026-08-05T22:50:22.090823Z","submitted_at":"2025-07-30T05:28:27Z","title":"Sequential Circuit as Generalized Symmetry on Lattice","version":1},"cited_work":{"arxiv_id":"2507.22394","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.22394","snapshot_observed_at":"2026-07-03T12:58:08.517437Z","title":"Sequential Circuit as Generalized Symmetry on Lat- tice","venue":null,"work_id":"046cf65f-c7ce-49d3-8c27-2aa2e713ce02","year":2025},"citing_paper":{"arxiv_id":"2605.15194","last_updated":"2026-05-14T17:59:45Z","snapshot_observed_at":"2026-08-04T17:10:53.596938Z","submitted_at":"2026-05-14T17:59:45Z","title":"Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-05-15T02:51:36.560672Z"},"links":{"cited_paper":"/paper/2507.22394","citing_paper":"/paper/2605.15194"},"observation_digest":"sha256:1cf10211d1ff3272d0e26a7067d2578177d24d7c6cdc82bf060eaae6d740f744","observation_id":"2abea62d-1abc-4bc7-a5a6-14cc79cd02db","resolution":{"observed_at":"2026-05-15T02:53:33.652646Z","resolver_source":"arxiv_id","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":"2507.22394","last_updated":"2025-07-30T05:28:27Z","snapshot_observed_at":"2026-08-05T22:50:22.090823Z","submitted_at":"2025-07-30T05:28:27Z","title":"Sequential Circuit as Generalized Symmetry on Lattice","version":1},"cited_work":{"arxiv_id":"2507.22394","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.22394","snapshot_observed_at":"2026-07-03T12:58:08.517437Z","title":"Sequential Circuit as Generalized Symmetry on Lat- tice","venue":null,"work_id":"046cf65f-c7ce-49d3-8c27-2aa2e713ce02","year":2025},"citing_paper":{"arxiv_id":"2606.11527","last_updated":"2026-06-10T00:11:44Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-06-10T00:11:44Z","title":"Invariants of Sequential Circuits and Generalized Non-Abelian Statistics","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-06-27T08:37:53.035253Z"},"links":{"cited_paper":"/paper/2507.22394","citing_paper":"/paper/2606.11527"},"observation_digest":"sha256:ee6a9ab6e11dd41ad933d0d827dc568efe59b1534d63a7fc7b190fc4f90de463","observation_id":"0c06ff06-9798-4720-8a0c-7378c4f23395","resolution":{"observed_at":"2026-07-03T12:58:08.518983Z","resolver_source":"arxiv_id","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/2507.22394/citation-record","integrity":"/paper/2507.22394/integrity","json":"/paper/2507.22394/citation-record.json","paper":"/paper/2507.22394"},"outbound":[],"paper":{"arxiv_id":"2507.22394","last_updated":"2025-07-30T05:28:27Z","latest_version":1,"primary_category":"cond-mat.str-el","snapshot_observed_at":"2026-08-05T22:50:22.090823Z","submitted_at":"2025-07-30T05:28:27Z","title":"Sequential Circuit as Generalized Symmetry on Lattice"},"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 4 inbound Pith citation observations for arXiv:2507.22394."}