{"as_of":"2026-08-22T18:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:13043121d87e672407cd50dcc3069d4de89ef1ad98e1aae4f5e018c636a500b8","coverage":[{"denominator":16,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":16,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T02:25:48.216092Z","state":"measured"},{"denominator":16,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":16,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+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/2607.25495/citation-record","integrity":"/paper/2607.25495/integrity","json":"/paper/2607.25495/citation-record.json","paper":"/paper/2607.25495"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:47.196891Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:47.196891Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:1a5e44a916b66cff5fc36a72b5dd7e88973a82a432c04110825ed67a1c3a7841","observation_id":"98190016-b9ac-4a6e-b7a1-6a70a3b07f6e","resolution":{"observed_at":"2026-08-01T02:25:47.196891Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:47.251293Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:47.251293Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:ac433afb95aa9a4fc6522c346dcea9ec5b6e49ce9b275e627006cb2d656d9c3f","observation_id":"da347713-272d-4d41-8b6f-301d09029360","resolution":{"observed_at":"2026-08-01T02:25:47.251293Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:47.297011Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:47.297011Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:3c159fbaa18520c564e8ac658250fa15464c3b2fd987a5fda1806d779c91201e","observation_id":"c589d5bb-44af-4fae-8221-bfa05d9dd611","resolution":{"observed_at":"2026-08-01T02:25:47.297011Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:47.356325Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:47.356325Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:ad6497b72018fced5a708803bbdf91cf96d378a69bf95395df17fc8ebb3e3fb9","observation_id":"ee57caa6-ddc7-4be1-8546-17a5ebb1be58","resolution":{"observed_at":"2026-08-01T02:25:47.356325Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:47.418851Z","title":"Khovanov and A","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:47.418851Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:068fa4da4c1bcdec18c3c02c7205eaaf6ec1b6a6948744df8037c584a862327c","observation_id":"b252b729-8fc8-44f0-bca1-1e3525e183bc","resolution":{"observed_at":"2026-08-01T02:25:47.418851Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:47.479515Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:47.479515Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:0c9e12033640bdba7d1d71a341655953157108070fa82e37d7d2228e9809c489","observation_id":"f360b0fd-46e1-4d29-84ce-feb45739952e","resolution":{"observed_at":"2026-08-01T02:25:47.479515Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:47.590526Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:47.590526Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:1c5901645676ad7fcbc836984bee16119808c66ef7cbce0f0367051e9a706479","observation_id":"3ad6615f-63eb-41c6-b4d9-ad7eacaaf259","resolution":{"observed_at":"2026-08-01T02:25:47.590526Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:47.651405Z","title":"Lusztig.Introduction to quantum groups, volume 110 ofProgress in Mathematics","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:47.651405Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:0348a28b9673f3075ee7b465095ba0242ff6452b6e915720d3cb62ebbb93c1f7","observation_id":"7260717f-cb4a-4dc5-b47e-e74704a5c048","resolution":{"observed_at":"2026-08-01T02:25:47.651405Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:47.708848Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:47.708848Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:5a9ce44bca31905eefe91cd335c88e0cb373089fd10104e409396c0746269196","observation_id":"3b2514bb-dcc2-4e89-aca1-6b3b184a7f69","resolution":{"observed_at":"2026-08-01T02:25:47.708848Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:47.757010Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:47.757010Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:c026d1d0ae4ad8eca023468866d612186e39ed3feaff08414372ef24fe241568","observation_id":"0d962f1e-981d-4fa6-82e6-3a3c4b740618","resolution":{"observed_at":"2026-08-01T02:25:47.757010Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:47.899728Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:47.899728Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:399a1c2b60ad4375dc5b07496b8222b64626eeac61a1c79f0175fb532710a290","observation_id":"187992d3-0a21-47de-acdf-a8d457d34549","resolution":{"observed_at":"2026-08-01T02:25:47.899728Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:47.988256Z","title":"Reiten and C","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:47.988256Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:29a9719b51b72bce3d26b3e4266fabfc380dad92aa8f86deab2de43e0b38293b","observation_id":"59615290-46a5-41ae-82da-28b4a227b7cb","resolution":{"observed_at":"2026-08-01T02:25:47.988256Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0812.5023","last_updated":"2008-12-30T20:55:30Z","snapshot_observed_at":"2026-08-15T05:58:19.173484Z","submitted_at":"2008-12-30T20:55:30Z","title":"2-Kac-Moody algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0812.5023","snapshot_observed_at":"2026-08-01T02:25:48.043680Z","title":"Rouquier","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:48.043680Z"},"links":{"cited_paper":"/paper/0812.5023","citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:483501e368004845cdbfcc0a7b6dc998b4054fd92006e596ad2a9fb92b99dd8d","observation_id":"5a5b22b6-7239-4a3c-a6f9-4ed86aa023cc","resolution":{"observed_at":"2026-08-01T02:25:48.043680Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:48.099807Z","title":"Rouquier","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:48.099807Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:19b047a8d9e6adf71249c9d834262af1006216414c0e6c0f6e58312ab6dafcd1","observation_id":"38f69c18-b1a3-4509-8452-ac6d719b02cc","resolution":{"observed_at":"2026-08-01T02:25:48.099807Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:48.142036Z","title":"Schiffmann","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:48.142036Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:ced1d6c2fee79371c5c7900ee44f69b5d2ba4a1b5aaf5d50147be2e1599e4ce6","observation_id":"7cf37f70-c15a-43de-94ed-363a5b33f825","resolution":{"observed_at":"2026-08-01T02:25:48.142036Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:25:48.216092Z","title":"Varagnolo and E","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T02:25:48.216092Z"},"links":{"citing_paper":"/paper/2607.25495"},"observation_digest":"sha256:fbe806eeb6c9a362a7ea98544240456a4749f3ae421251c017a8ed5ed1c08efd","observation_id":"85b5c1cb-dc05-44ed-a187-32b792dd7d4a","resolution":{"observed_at":"2026-08-01T02:25:48.216092Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.25495","last_updated":"2026-07-28T09:32:52Z","latest_version":1,"primary_category":"math.QA","snapshot_observed_at":"2026-08-20T00:18:23.485573Z","submitted_at":"2026-07-28T09:32:52Z","title":"Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":16},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.25495."}