{"as_of":"2026-08-08T01:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fa1774b66527bd49716bc8287326cf192657ab5b0c9dab7b0f31c8ee78aa9f55","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":"2026-08-07T06:34:17.273281+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":"2026-08-07T00:34:45.577550Z","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":"2026-07-02T10:16:52.068818Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2306.11783","last_updated":"2023-06-20T18:00:00Z","snapshot_observed_at":"2026-07-06T15:44:46.456226Z","submitted_at":"2023-06-20T18:00:00Z","title":"Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects","version":1},"cited_work":{"arxiv_id":"2306.11783","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.11783","snapshot_observed_at":"2026-07-02T10:16:52.068818Z","title":"Lawrie, X","venue":null,"work_id":"e10258d9-dee8-4c16-a1ca-7776fddf5b93","year":2024},"citing_paper":{"arxiv_id":"2307.07547","last_updated":"2023-09-08T13:13:28Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-07-14T18:00:00Z","title":"Lectures on Generalized Symmetries","version":2},"reference_index":174,"source":"pdf_text","source_observed_at":"2026-05-17T14:14:51.258769Z"},"links":{"cited_paper":"/paper/2306.11783","citing_paper":"/paper/2307.07547"},"observation_digest":"sha256:9223becbdfc1764f1f630cb5e4503cbbf2c7499a4f901ceee866edb543b3b9a2","observation_id":"5e3c0fc7-06ae-4b44-8e6a-77a033adcfaa","resolution":{"observed_at":"2026-05-17T14:14:52.281546Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.11783","last_updated":"2023-06-20T18:00:00Z","snapshot_observed_at":"2026-07-06T15:44:46.456226Z","submitted_at":"2023-06-20T18:00:00Z","title":"Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects","version":1},"cited_work":{"arxiv_id":"2306.11783","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.11783","snapshot_observed_at":"2026-07-02T10:16:52.068818Z","title":"Lawrie, X","venue":null,"work_id":"e10258d9-dee8-4c16-a1ca-7776fddf5b93","year":2024},"citing_paper":{"arxiv_id":"2308.00747","last_updated":"2024-03-30T04:03:38Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-08-01T18:00:01Z","title":"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries","version":2},"reference_index":130,"source":"pdf_text","source_observed_at":"2026-05-24T07:32:13.524274Z"},"links":{"cited_paper":"/paper/2306.11783","citing_paper":"/paper/2308.00747"},"observation_digest":"sha256:467fd4b6bb3e279838a41f846f4c8fa0a5660634cd86b7d87756efc86b9db47b","observation_id":"bf99f930-9513-44de-8b25-84bd1eb5d35d","resolution":{"observed_at":"2026-05-24T07:34:09.297432Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.11783","last_updated":"2023-06-20T18:00:00Z","snapshot_observed_at":"2026-07-06T15:44:46.456226Z","submitted_at":"2023-06-20T18:00:00Z","title":"Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.11783","snapshot_observed_at":"2026-08-07T00:34:45.577550Z","title":"Lawrie, X","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13859","last_updated":"2025-07-01T15:08:43Z","snapshot_observed_at":"2026-08-07T08:34:50.784076Z","submitted_at":"2025-06-16T18:00:01Z","title":"R-symmetries, anomalies and non-invertible defects from non-BPS branes","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T00:34:45.577550Z"},"links":{"cited_paper":"/paper/2306.11783","citing_paper":"/paper/2506.13859"},"observation_digest":"sha256:167957d258c46c912265974eb383c4c9b3e18a88b641fc39cb58fbd96a94e788","observation_id":"ea84537c-19b2-4602-8630-3a5b95606fe3","resolution":{"observed_at":"2026-08-07T00:34:45.577550Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.11783","last_updated":"2023-06-20T18:00:00Z","snapshot_observed_at":"2026-07-06T15:44:46.456226Z","submitted_at":"2023-06-20T18:00:00Z","title":"Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects","version":1},"cited_work":{"arxiv_id":"2306.11783","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.11783","snapshot_observed_at":"2026-07-02T10:16:52.068818Z","title":"Lawrie, X","venue":null,"work_id":"e10258d9-dee8-4c16-a1ca-7776fddf5b93","year":2024},"citing_paper":{"arxiv_id":"2603.12323","last_updated":"2026-04-20T21:42:38Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-03-12T18:00:02Z","title":"On the SymTFTs of Finite Non-Abelian Symmetries","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-15T11:33:18.662351Z"},"links":{"cited_paper":"/paper/2306.11783","citing_paper":"/paper/2603.12323"},"observation_digest":"sha256:3c06ebef6b189c3516f61b360b9ff63f4f3607b982e6d64af6935d3973e97884","observation_id":"99763cb5-2103-4ad6-bb67-fee11981d078","resolution":{"observed_at":"2026-05-15T11:35:31.561655Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.11783","last_updated":"2023-06-20T18:00:00Z","snapshot_observed_at":"2026-07-06T15:44:46.456226Z","submitted_at":"2023-06-20T18:00:00Z","title":"Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects","version":1},"cited_work":{"arxiv_id":"2306.11783","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.11783","snapshot_observed_at":"2026-07-02T10:16:52.068818Z","title":"Lawrie, X","venue":null,"work_id":"e10258d9-dee8-4c16-a1ca-7776fddf5b93","year":2024},"citing_paper":{"arxiv_id":"2604.14275","last_updated":"2026-05-07T17:45:26Z","snapshot_observed_at":"2026-08-02T06:24:16.055555Z","submitted_at":"2026-04-15T18:00:00Z","title":"Generalized Complexity Distances and Non-Invertible Symmetries","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-10T12:43:03.389585Z"},"links":{"cited_paper":"/paper/2306.11783","citing_paper":"/paper/2604.14275"},"observation_digest":"sha256:350402ba89baa6716566410d95a4b6c91964e3a69d4acfec923b616496dfa2f3","observation_id":"1ef16357-2160-4f06-835f-985520d47660","resolution":{"observed_at":"2026-05-11T11:41:05.674328Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.11783","last_updated":"2023-06-20T18:00:00Z","snapshot_observed_at":"2026-07-06T15:44:46.456226Z","submitted_at":"2023-06-20T18:00:00Z","title":"Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects","version":1},"cited_work":{"arxiv_id":"2306.11783","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.11783","snapshot_observed_at":"2026-07-02T10:16:52.068818Z","title":"Lawrie, X","venue":null,"work_id":"e10258d9-dee8-4c16-a1ca-7776fddf5b93","year":2024},"citing_paper":{"arxiv_id":"2605.30354","last_updated":"2026-05-28T17:59:59Z","snapshot_observed_at":"2026-08-06T17:47:11.294650Z","submitted_at":"2026-05-28T17:59:59Z","title":"Quiver Approach to Symmetry Theories","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-29T06:13:48.819353Z"},"links":{"cited_paper":"/paper/2306.11783","citing_paper":"/paper/2605.30354"},"observation_digest":"sha256:fc9beae0058816e495419b177e642c3b7a0f23b47db9c5de8d8a7d1995269dfa","observation_id":"0e74c107-7a2e-4aa3-ada7-a0f6ad3abb25","resolution":{"observed_at":"2026-06-29T14:53:31.725721Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.11783","last_updated":"2023-06-20T18:00:00Z","snapshot_observed_at":"2026-07-06T15:44:46.456226Z","submitted_at":"2023-06-20T18:00:00Z","title":"Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects","version":1},"cited_work":{"arxiv_id":"2306.11783","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.11783","snapshot_observed_at":"2026-07-02T10:16:52.068818Z","title":"Lawrie, X","venue":null,"work_id":"e10258d9-dee8-4c16-a1ca-7776fddf5b93","year":2024},"citing_paper":{"arxiv_id":"2606.05279","last_updated":"2026-06-03T18:00:00Z","snapshot_observed_at":"2026-08-02T13:11:18.915766Z","submitted_at":"2026-06-03T18:00:00Z","title":"Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-28T05:12:12.178791Z"},"links":{"cited_paper":"/paper/2306.11783","citing_paper":"/paper/2606.05279"},"observation_digest":"sha256:2b2cf4819bad5e66bd1a35de6e07f3835178c378f3415149018dcfd6471ccb77","observation_id":"df8695b4-40ac-400e-8aeb-79963dc37e7b","resolution":{"observed_at":"2026-07-02T10:16:52.070298Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2306.11783/citation-record","integrity":"/paper/2306.11783/integrity","json":"/paper/2306.11783/citation-record.json","paper":"/paper/2306.11783"},"outbound":[],"paper":{"arxiv_id":"2306.11783","last_updated":"2023-06-20T18:00:00Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-07-06T15:44:46.456226Z","submitted_at":"2023-06-20T18:00:00Z","title":"Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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:2306.11783."}