{"as_of":"2026-08-08T13:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4b6f87fbe63fd203935db92e5ad9f62d0534314e9cea7d6dee141bb19bc4b8ac","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":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:09:17.115000Z","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":"2026-07-03T13:08:07.792991Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2311.01439","last_updated":"2023-11-02T17:53:38Z","snapshot_observed_at":"2026-08-06T10:32:33.445013Z","submitted_at":"2023-11-02T17:53:38Z","title":"Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models","version":1},"cited_work":{"arxiv_id":"2311.01439","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2311.01439","snapshot_observed_at":"2026-07-03T13:08:07.792991Z","title":"Lootens, C","venue":null,"work_id":"437822db-8b38-4a12-957e-7abccd7d9b8d","year":2025},"citing_paper":{"arxiv_id":"2405.05964","last_updated":"2025-11-10T11:49:13Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2024-05-09T17:59:00Z","title":"Lattice Models for Phases and Transitions with Non-Invertible Symmetries","version":5},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-05-24T01:16:57.628200Z"},"links":{"cited_paper":"/paper/2311.01439","citing_paper":"/paper/2405.05964"},"observation_digest":"sha256:d230ed21a3160aff83f7c7c6f33b701b02a37be2a6bb17bc3bbacaf7c9a259ff","observation_id":"6e90b879-63cc-4574-bec5-055627d47e98","resolution":{"observed_at":"2026-05-24T01:18:42.499004Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.01439","last_updated":"2023-11-02T17:53:38Z","snapshot_observed_at":"2026-08-06T10:32:33.445013Z","submitted_at":"2023-11-02T17:53:38Z","title":"Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models","version":1},"cited_work":{"arxiv_id":"2311.01439","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2311.01439","snapshot_observed_at":"2026-07-03T13:08:07.792991Z","title":"Lootens, C","venue":null,"work_id":"437822db-8b38-4a12-957e-7abccd7d9b8d","year":2025},"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":146,"source":"pdf_text","source_observed_at":"2026-05-19T08:04:49.812169Z"},"links":{"cited_paper":"/paper/2311.01439","citing_paper":"/paper/2506.23155"},"observation_digest":"sha256:64a6e2c502543b854592aa73aa5d17382dbeac4536851dd420e9ae53079bad96","observation_id":"e63c599a-0936-417c-9fb4-13d160932c85","resolution":{"observed_at":"2026-05-19T08:07:11.724219Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.01439","last_updated":"2023-11-02T17:53:38Z","snapshot_observed_at":"2026-08-06T10:32:33.445013Z","submitted_at":"2023-11-02T17:53:38Z","title":"Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.01439","snapshot_observed_at":"2026-08-06T21:09:17.115000Z","title":"Low-Depth Unitary Quantum Circuits for Dualities in One-Dimensional Quantum Lattice Models","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.01142","last_updated":"2025-07-01T19:00:39Z","snapshot_observed_at":"2026-08-07T10:37:49.533922Z","submitted_at":"2025-07-01T19:00:39Z","title":"Gauging Non-Invertible Symmetries in (2+1)d Topological Orders","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-06T21:09:17.115000Z"},"links":{"cited_paper":"/paper/2311.01439","citing_paper":"/paper/2507.01142"},"observation_digest":"sha256:eb8935d093e3ec94e95cbe0c8ff36ec38fea1e93388eaec32ed1d4192ada68f3","observation_id":"b3aaad0f-df16-4d07-a03b-51e0996431ce","resolution":{"observed_at":"2026-08-06T21:09:17.115000Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.01439","last_updated":"2023-11-02T17:53:38Z","snapshot_observed_at":"2026-08-06T10:32:33.445013Z","submitted_at":"2023-11-02T17:53:38Z","title":"Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models","version":1},"cited_work":{"arxiv_id":"2311.01439","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2311.01439","snapshot_observed_at":"2026-07-03T13:08:07.792991Z","title":"Lootens, C","venue":null,"work_id":"437822db-8b38-4a12-957e-7abccd7d9b8d","year":2025},"citing_paper":{"arxiv_id":"2509.22051","last_updated":"2026-04-20T08:17:21Z","snapshot_observed_at":"2026-08-02T10:30:46.834860Z","submitted_at":"2025-09-26T08:34:55Z","title":"From gauging to duality in one-dimensional quantum lattice models","version":2},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-05-18T13:15:07.797610Z"},"links":{"cited_paper":"/paper/2311.01439","citing_paper":"/paper/2509.22051"},"observation_digest":"sha256:ac8443a61d97e18a63f2545a67365efcdbbfdf66a173b0caef195ff3a0e48646","observation_id":"e10d7ec8-074e-480b-a82b-3586022ae80d","resolution":{"observed_at":"2026-05-18T13:16:24.267713Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.01439","last_updated":"2023-11-02T17:53:38Z","snapshot_observed_at":"2026-08-06T10:32:33.445013Z","submitted_at":"2023-11-02T17:53:38Z","title":"Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models","version":1},"cited_work":{"arxiv_id":"2311.01439","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2311.01439","snapshot_observed_at":"2026-07-03T13:08:07.792991Z","title":"Lootens, C","venue":null,"work_id":"437822db-8b38-4a12-957e-7abccd7d9b8d","year":2025},"citing_paper":{"arxiv_id":"2607.01624","last_updated":"2026-07-02T02:44:27Z","snapshot_observed_at":"2026-08-03T05:18:29.569624Z","submitted_at":"2026-07-02T02:44:27Z","title":"Shallow Unitary Circuits for Kramers-Wannier Dualities","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-03T13:03:07.098539Z"},"links":{"cited_paper":"/paper/2311.01439","citing_paper":"/paper/2607.01624"},"observation_digest":"sha256:f7acdc7041334c4e28ffbc1bdda4c591e7d08f9da451fa3a888dc791fbde207c","observation_id":"09b5b44e-41d2-4b7d-a94a-422b30ff697d","resolution":{"observed_at":"2026-07-03T13:08:07.794405Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.01439","last_updated":"2023-11-02T17:53:38Z","snapshot_observed_at":"2026-08-06T10:32:33.445013Z","submitted_at":"2023-11-02T17:53:38Z","title":"Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.01439","snapshot_observed_at":"2026-08-01T07:04:53.756695Z","title":"Low-Depth Unitary Quantum Circuits for Dualities in One-Dimensional Quantum Lattice Models,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.21698","last_updated":"2026-07-31T14:13:23Z","snapshot_observed_at":"2026-08-06T18:33:25.103905Z","submitted_at":"2026-07-23T18:00:00Z","title":"Non-Invertible Symmetries Mixing with Witt Non-Trivial Quantum Cellular Automata","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-01T07:04:53.756695Z"},"links":{"cited_paper":"/paper/2311.01439","citing_paper":"/paper/2607.21698"},"observation_digest":"sha256:e763ab77eb0563c7356808c3a94c73b90d75bb37eedbd5add20cee41b085b0bf","observation_id":"21eb9f7d-8949-4b78-a8c8-e75148bfdb62","resolution":{"observed_at":"2026-08-01T07:04:53.756695Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.01439","last_updated":"2023-11-02T17:53:38Z","snapshot_observed_at":"2026-08-06T10:32:33.445013Z","submitted_at":"2023-11-02T17:53:38Z","title":"Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.01439","snapshot_observed_at":"2026-08-03T01:57:31.778936Z","title":"Low-Depth Unitary Quantum Circuits for Dualities in One-Dimensional Quantum Lattice Models,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.21698","last_updated":"2026-07-31T14:13:23Z","snapshot_observed_at":"2026-08-06T18:33:25.103905Z","submitted_at":"2026-07-23T18:00:00Z","title":"Non-Invertible Symmetries Mixing with Witt Non-Trivial Quantum Cellular Automata","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-03T01:57:31.778936Z"},"links":{"cited_paper":"/paper/2311.01439","citing_paper":"/paper/2607.21698"},"observation_digest":"sha256:d0188f89d13f244284aca8aa528eaeb57eb6354085b182275e6655ed01030cd7","observation_id":"048742e5-ef1a-4a5b-81db-4756e1ec2931","resolution":{"observed_at":"2026-08-03T01:57:31.778936Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2311.01439/citation-record","integrity":"/paper/2311.01439/integrity","json":"/paper/2311.01439/citation-record.json","paper":"/paper/2311.01439"},"outbound":[],"paper":{"arxiv_id":"2311.01439","last_updated":"2023-11-02T17:53:38Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-06T10:32:33.445013Z","submitted_at":"2023-11-02T17:53:38Z","title":"Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2311.01439."}