{"as_of":"2026-08-13T04:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9285ff635304e0c10bde0407fe50c818244e7af2f5e79353f2638fe1ff9f4123","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":"2026-08-12T06:34:41.77262+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":"2026-08-11T15:43:07.362090Z","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":"2026-05-22T04:46:04.765615Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2110.13768","last_updated":"2021-10-26T15:21:02Z","snapshot_observed_at":"2026-08-11T10:33:04.381687Z","submitted_at":"2021-10-26T15:21:02Z","title":"Branches, quivers, and ideals for knot complements","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.13768","snapshot_observed_at":"2026-08-11T15:43:07.362090Z","title":"Branches, quivers, and ideals for knot complements,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.10885","last_updated":"2024-12-14T16:31:39Z","snapshot_observed_at":"2026-08-12T05:34:13.961823Z","submitted_at":"2024-12-14T16:31:39Z","title":"$q$-Series Invariants of Three-Manifolds and Knots-Quivers Correspondence","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T15:43:07.362090Z"},"links":{"cited_paper":"/paper/2110.13768","citing_paper":"/paper/2412.10885"},"observation_digest":"sha256:c76e33bc13e57eb0194a09c842cc7add19c3922ab6e58736901b5981873c7c96","observation_id":"5660802b-1ca6-4db1-a421-36efdf336bb8","resolution":{"observed_at":"2026-08-11T15:43:07.362090Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.13768","last_updated":"2021-10-26T15:21:02Z","snapshot_observed_at":"2026-08-11T10:33:04.381687Z","submitted_at":"2021-10-26T15:21:02Z","title":"Branches, quivers, and ideals for knot complements","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.13768","snapshot_observed_at":"2026-08-05T11:24:28.951421Z","title":"Ekholm, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.02939","last_updated":"2025-09-03T02:08:54Z","snapshot_observed_at":"2026-08-07T22:21:57.529663Z","submitted_at":"2025-09-03T02:08:54Z","title":"Quantum invariants of 3-manifolds and links: a review","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T11:24:28.951421Z"},"links":{"cited_paper":"/paper/2110.13768","citing_paper":"/paper/2509.02939"},"observation_digest":"sha256:b73b0a2d5731ff2c2dc28e98e2b10cebd1f882ff3df6e54668ae0b473c0c49b4","observation_id":"638f37d7-5ce9-4fde-86a8-6ddba3d374e2","resolution":{"observed_at":"2026-08-05T11:24:28.951421Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.13768","last_updated":"2021-10-26T15:21:02Z","snapshot_observed_at":"2026-08-11T10:33:04.381687Z","submitted_at":"2021-10-26T15:21:02Z","title":"Branches, quivers, and ideals for knot complements","version":1},"cited_work":{"arxiv_id":"2110.13768","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2110.13768","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Branches, quivers, and ideals for knot complements","venue":null,"work_id":"0671e002-8ef1-4c3d-9c75-85e9609aa796","year":2023},"citing_paper":{"arxiv_id":"2605.22560","last_updated":"2026-05-21T14:42:19Z","snapshot_observed_at":"2026-08-12T18:33:25.317367Z","submitted_at":"2026-05-21T14:42:19Z","title":"Shading A-polynomials via huge representations of $U_q(\\mathfrak{su}_N)$","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-22T04:45:43.517629Z"},"links":{"cited_paper":"/paper/2110.13768","citing_paper":"/paper/2605.22560"},"observation_digest":"sha256:a6d06af529e3dcf1415645f3df3e6c51e36d90eb80696d1fc65ad640267aad83","observation_id":"fa85be14-f55d-4363-a47d-3f9ebaee34c1","resolution":{"observed_at":"2026-05-22T04:46:04.768024Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.13768","last_updated":"2021-10-26T15:21:02Z","snapshot_observed_at":"2026-08-11T10:33:04.381687Z","submitted_at":"2021-10-26T15:21:02Z","title":"Branches, quivers, and ideals for knot complements","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.13768","snapshot_observed_at":"2026-08-01T07:25:32.842665Z","title":"Ekholm, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.21479","last_updated":"2026-07-23T16:20:59Z","snapshot_observed_at":"2026-08-03T13:16:32.814282Z","submitted_at":"2026-07-23T16:20:59Z","title":"3d-3d correspondence for knot complements with finite and large $N$","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:32.842665Z"},"links":{"cited_paper":"/paper/2110.13768","citing_paper":"/paper/2607.21479"},"observation_digest":"sha256:7db5935b109911c7ebbd8f959dfacf76ad2ee42f2ecdf6a749f99bc60573557d","observation_id":"9a1b04dc-9498-42d5-b097-ea44d1250901","resolution":{"observed_at":"2026-08-01T07:25:32.842665Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2110.13768/citation-record","integrity":"/paper/2110.13768/integrity","json":"/paper/2110.13768/citation-record.json","paper":"/paper/2110.13768"},"outbound":[],"paper":{"arxiv_id":"2110.13768","last_updated":"2021-10-26T15:21:02Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-11T10:33:04.381687Z","submitted_at":"2021-10-26T15:21:02Z","title":"Branches, quivers, and ideals for knot complements"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2110.13768."}