{"as_of":"2026-08-12T16:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3b1933d7191f74b5d2af36b938099eab5f25d3d1d583ce22c668e2efacf282ab","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:43:07.901933Z","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":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.14182/citation-record","integrity":"/paper/2505.14182/integrity","json":"/paper/2505.14182/citation-record.json","paper":"/paper/2505.14182"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:43:09.124873Z","title":"Koszul duality for Kac-Moody groups and characters of tilting modules","venue":null,"work_id":"af3e7755-5b4a-464e-af60-530665ae66bf","year":2019},"citing_paper":{"arxiv_id":"2505.14182","last_updated":"2025-05-20T10:38:29Z","snapshot_observed_at":"2026-08-11T07:54:37.853842Z","submitted_at":"2025-05-20T10:38:29Z","title":"The Last Three T-degrees in Triply-Graded Link Homology","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T15:43:07.186242Z"},"links":{"citing_paper":"/paper/2505.14182"},"observation_digest":"sha256:ab1624bdff1da4e7424c27cc216e26ecb8208936150ad0e39c3a4f4b0c9c276f","observation_id":"5b847e43-f891-4c96-8134-6ee0318b560e","resolution":{"observed_at":"2026-08-07T15:43:09.208670Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":"2111.00388","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:43:08.159984Z","title":"Reducing Rouquier complexes","venue":null,"work_id":"e542b410-e435-4bd3-b7f7-3fb4738c6212","year":2024},"citing_paper":{"arxiv_id":"2505.14182","last_updated":"2025-05-20T10:38:29Z","snapshot_observed_at":"2026-08-11T07:54:37.853842Z","submitted_at":"2025-05-20T10:38:29Z","title":"The Last Three T-degrees in Triply-Graded Link Homology","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T15:43:07.811273Z"},"links":{"citing_paper":"/paper/2505.14182"},"observation_digest":"sha256:6d6abc8cbadfcdc3aabd7940d906fd952c3e00857f11872dbb0031d8369722c8","observation_id":"1c70db62-cf2b-44da-857e-07700ef6a36f","resolution":{"observed_at":"2026-08-07T15:43:08.253002Z","resolver_source":"raw_fallback","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:43:08.836550Z","title":"The two-color Soergel calculus","venue":null,"work_id":"e55c19dd-49a1-425f-b53d-a363dd5fd25a","year":2016},"citing_paper":{"arxiv_id":"2505.14182","last_updated":"2025-05-20T10:38:29Z","snapshot_observed_at":"2026-08-11T07:54:37.853842Z","submitted_at":"2025-05-20T10:38:29Z","title":"The Last Three T-degrees in Triply-Graded Link Homology","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T15:43:07.364827Z"},"links":{"citing_paper":"/paper/2505.14182"},"observation_digest":"sha256:d515846480795e7d614ccd27d7c995589356d6926ccd10c0b6c797c2b3b06ed4","observation_id":"5a66f7d3-766a-4393-bd8d-c3492b1cd37e","resolution":{"observed_at":"2026-08-07T15:43:08.965971Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:43:08.632426Z","title":"Triply-graded link homology and Hochschild homology of Soergel bimodules","venue":null,"work_id":"edccb881-b43f-4e9e-8197-74559328ee9b","year":2007},"citing_paper":{"arxiv_id":"2505.14182","last_updated":"2025-05-20T10:38:29Z","snapshot_observed_at":"2026-08-11T07:54:37.853842Z","submitted_at":"2025-05-20T10:38:29Z","title":"The Last Three T-degrees in Triply-Graded Link Homology","version":1},"reference_index":426,"source":"pdf_text","source_observed_at":"2026-08-07T15:43:07.588591Z"},"links":{"citing_paper":"/paper/2505.14182"},"observation_digest":"sha256:304e4f8e5185e1de26ab5408b53ff6d16a3cb07e32fd5f8a090d0510cdc343fc","observation_id":"9a63d762-a8e6-4d2f-a201-2a2a32e43834","resolution":{"observed_at":"2026-08-07T15:43:08.727553Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"math/0409593","last_updated":"2004-09-30T06:41:57Z","snapshot_observed_at":"2026-08-10T05:54:45.449869Z","submitted_at":"2004-09-30T06:41:57Z","title":"Categorification of the braid groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0409593","snapshot_observed_at":"2026-08-07T15:43:07.901933Z","title":"Kategorie O, perverse Garben und Moduln über den Koinvarianten zur Weylgruppe","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2505.14182","last_updated":"2025-05-20T10:38:29Z","snapshot_observed_at":"2026-08-11T07:54:37.853842Z","submitted_at":"2025-05-20T10:38:29Z","title":"The Last Three T-degrees in Triply-Graded Link Homology","version":1},"reference_index":2004,"source":"pdf_text","source_observed_at":"2026-08-07T15:43:07.901933Z"},"links":{"cited_paper":"/paper/math/0409593","citing_paper":"/paper/2505.14182"},"observation_digest":"sha256:37b5112c9faafa2de085e2adf7bf25a9ad60b4ea583a08f2ec67de15692d33c3","observation_id":"dae35b03-4ebd-4b60-aa6e-655f4640e6df","resolution":{"observed_at":"2026-08-07T15:43:07.901933Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1909.00418","last_updated":"2019-09-01T15:35:26Z","snapshot_observed_at":"2026-08-10T02:46:18.562436Z","submitted_at":"2019-09-01T15:35:26Z","title":"Torus link homology","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.00418","snapshot_observed_at":"2026-08-07T15:43:07.485993Z","title":"Categorified Young symmetrizers and stable homology of torus links","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2505.14182","last_updated":"2025-05-20T10:38:29Z","snapshot_observed_at":"2026-08-11T07:54:37.853842Z","submitted_at":"2025-05-20T10:38:29Z","title":"The Last Three T-degrees in Triply-Graded Link Homology","version":1},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-07T15:43:07.485993Z"},"links":{"cited_paper":"/paper/1909.00418","citing_paper":"/paper/2505.14182"},"observation_digest":"sha256:d77eb2df61c00ca3dcf054f62ca5e51f72f2471e09d55623073b2ef87c94e18b","observation_id":"626be581-4448-4f61-8e3f-fd10e31e238f","resolution":{"observed_at":"2026-08-07T15:43:07.485993Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.07802","last_updated":"2025-05-21T18:53:26Z","snapshot_observed_at":"2026-08-09T17:54:00.222156Z","submitted_at":"2022-11-14T23:46:09Z","title":"The Two-Color Ext Soergel Calculus","version":2},"cited_work":{"arxiv_id":"2211.07802","doi":null,"metadata_source":"pith","pith_arxiv_id":"2211.07802","snapshot_observed_at":"2026-08-07T15:43:08.373616Z","title":"The Two-Color Ext Soergel Calculus","venue":"math.RT","work_id":"70f0262e-e487-40ab-9812-45c809b9fb8c","year":2022},"citing_paper":{"arxiv_id":"2505.14182","last_updated":"2025-05-20T10:38:29Z","snapshot_observed_at":"2026-08-11T07:54:37.853842Z","submitted_at":"2025-05-20T10:38:29Z","title":"The Last Three T-degrees in Triply-Graded Link Homology","version":1},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-07T15:43:07.705875Z"},"links":{"cited_paper":"/paper/2211.07802","citing_paper":"/paper/2505.14182"},"observation_digest":"sha256:8525e6b6effeebe7ed873bdbb5c9b19b792745489bbd727e4360b0e442f4a098","observation_id":"7e8fd677-89a6-4cbf-bdd5-a923ab0539aa","resolution":{"observed_at":"2026-08-07T15:43:08.467274Z","resolver_source":"local_arxiv","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"}}],"paper":{"arxiv_id":"2505.14182","last_updated":"2025-05-20T10:38:29Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-11T07:54:37.853842Z","submitted_at":"2025-05-20T10:38:29Z","title":"The Last Three T-degrees in Triply-Graded Link Homology"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":2,"verified_fuzzy":3},"total_outbound_references":7},"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 12 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2505.14182."}