{"as_of":"2026-08-13T22:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fa9bc3cd1abd7922c20d764f9e713fb26e0da1ec751ba93360c5510e5bb6ddbf","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":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":8,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:37:34.168831Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-10T22:27:37.922488Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1004.2575","last_updated":"2010-04-15T08:07:02Z","snapshot_observed_at":"2026-08-09T07:18:41.981783Z","submitted_at":"2010-04-15T08:07:02Z","title":"Drinfeld realization of the elliptic Hall algebra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1004.2575","snapshot_observed_at":"2026-08-06T19:37:34.168831Z","title":"Schiffmann, J","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2507.05406","last_updated":"2025-07-07T18:45:57Z","snapshot_observed_at":"2026-08-08T09:26:02.914954Z","submitted_at":"2025-07-07T18:45:57Z","title":"Phases in WLZZ Matrix Models","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T19:37:34.168831Z"},"links":{"cited_paper":"/paper/1004.2575","citing_paper":"/paper/2507.05406"},"observation_digest":"sha256:dfa6c2b65d7b2431d2e38baf842c3c87e2dfeba1463624bfb26373180fa4a345","observation_id":"458a9430-c5c6-48e4-b1f0-c7b3e067fa5f","resolution":{"observed_at":"2026-08-06T19:37:34.168831Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1004.2575","last_updated":"2010-04-15T08:07:02Z","snapshot_observed_at":"2026-08-09T07:18:41.981783Z","submitted_at":"2010-04-15T08:07:02Z","title":"Drinfeld realization of the elliptic Hall algebra","version":1},"cited_work":{"arxiv_id":"1004.2575","doi":null,"metadata_source":"pith","pith_arxiv_id":"1004.2575","snapshot_observed_at":"2026-07-10T22:27:37.922488Z","title":"Drinfeld realization of the elliptic Hall algebra","venue":"math.QA","work_id":"0d37e8da-e59c-42ce-97f1-f279b23d441d","year":2010},"citing_paper":{"arxiv_id":"2508.07255","last_updated":"2025-08-10T09:14:39Z","snapshot_observed_at":"2026-07-06T22:10:40.258498Z","submitted_at":"2025-08-10T09:14:39Z","title":"Non-commutative creation operators for symmetric polynomials","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-18T23:52:54.040908Z"},"links":{"cited_paper":"/paper/1004.2575","citing_paper":"/paper/2508.07255"},"observation_digest":"sha256:0432b984bbfb11ca99d60868ba796c2ed368e7c459f80df8ec672931a66924de","observation_id":"f5196d0a-7b9d-49d2-a281-55771c11683d","resolution":{"observed_at":"2026-05-18T23:56:55.443773Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1004.2575","last_updated":"2010-04-15T08:07:02Z","snapshot_observed_at":"2026-08-09T07:18:41.981783Z","submitted_at":"2010-04-15T08:07:02Z","title":"Drinfeld realization of the elliptic Hall algebra","version":1},"cited_work":{"arxiv_id":"1004.2575","doi":null,"metadata_source":"pith","pith_arxiv_id":"1004.2575","snapshot_observed_at":"2026-07-10T22:27:37.922488Z","title":"Drinfeld realization of the elliptic Hall algebra","venue":"math.QA","work_id":"0d37e8da-e59c-42ce-97f1-f279b23d441d","year":2010},"citing_paper":{"arxiv_id":"2601.10500","last_updated":"2026-05-21T08:58:17Z","snapshot_observed_at":"2026-07-06T22:41:48.115083Z","submitted_at":"2026-01-15T15:17:33Z","title":"Twisted Cherednik spectrum as a $q,t$-deformation","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-22T11:35:42.896204Z"},"links":{"cited_paper":"/paper/1004.2575","citing_paper":"/paper/2601.10500"},"observation_digest":"sha256:91d20d8d28e35d22faede36aecc5d446baf5f0da17b8699f4e71c06e64e2ad39","observation_id":"5a9d343c-bbd3-45e7-8236-21519a3d5aec","resolution":{"observed_at":"2026-05-22T11:36:29.007490Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1004.2575","last_updated":"2010-04-15T08:07:02Z","snapshot_observed_at":"2026-08-09T07:18:41.981783Z","submitted_at":"2010-04-15T08:07:02Z","title":"Drinfeld realization of the elliptic Hall algebra","version":1},"cited_work":{"arxiv_id":"1004.2575","doi":null,"metadata_source":"pith","pith_arxiv_id":"1004.2575","snapshot_observed_at":"2026-07-10T22:27:37.922488Z","title":"Drinfeld realization of the elliptic Hall algebra","venue":"math.QA","work_id":"0d37e8da-e59c-42ce-97f1-f279b23d441d","year":2010},"citing_paper":{"arxiv_id":"2601.19878","last_updated":"2026-04-29T06:02:31Z","snapshot_observed_at":"2026-08-12T12:51:51.689839Z","submitted_at":"2026-01-27T18:42:33Z","title":"Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-16T10:22:15.524210Z"},"links":{"cited_paper":"/paper/1004.2575","citing_paper":"/paper/2601.19878"},"observation_digest":"sha256:e2f05b39ab3731ba7d81fe88748e0983335c5813557ad2b3d4f6ab4029f6ed92","observation_id":"6d78c8a6-448f-45e0-82df-9285472f7bfc","resolution":{"observed_at":"2026-05-16T10:22:44.341337Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1004.2575","last_updated":"2010-04-15T08:07:02Z","snapshot_observed_at":"2026-08-09T07:18:41.981783Z","submitted_at":"2010-04-15T08:07:02Z","title":"Drinfeld realization of the elliptic Hall algebra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1004.2575","snapshot_observed_at":"2026-08-02T21:14:56.014994Z","title":"Schiffmann, J","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2602.21120","last_updated":"2026-05-30T07:46:10Z","snapshot_observed_at":"2026-08-07T15:11:41.779373Z","submitted_at":"2026-02-24T17:16:07Z","title":"Generating twisted Cherednik eigenfunctions","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T21:14:56.014994Z"},"links":{"cited_paper":"/paper/1004.2575","citing_paper":"/paper/2602.21120"},"observation_digest":"sha256:e844c54af450bdc27686bf9a5cbec153319b6af150b03fe85d5cb4d955db0d82","observation_id":"0836237b-cb80-41fc-bfea-194315eac2f4","resolution":{"observed_at":"2026-08-02T21:14:56.014994Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1004.2575","last_updated":"2010-04-15T08:07:02Z","snapshot_observed_at":"2026-08-09T07:18:41.981783Z","submitted_at":"2010-04-15T08:07:02Z","title":"Drinfeld realization of the elliptic Hall algebra","version":1},"cited_work":{"arxiv_id":"1004.2575","doi":null,"metadata_source":"pith","pith_arxiv_id":"1004.2575","snapshot_observed_at":"2026-07-10T22:27:37.922488Z","title":"Drinfeld realization of the elliptic Hall algebra","venue":"math.QA","work_id":"0d37e8da-e59c-42ce-97f1-f279b23d441d","year":2010},"citing_paper":{"arxiv_id":"2607.06738","last_updated":"2026-07-07T19:05:48Z","snapshot_observed_at":"2026-08-06T19:21:58.693988Z","submitted_at":"2026-07-07T19:05:48Z","title":"Integrable systems inspired by DAHA and DIM algebra: type $C^\\vee C$ versus type $A$","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-10T22:24:42.466871Z"},"links":{"cited_paper":"/paper/1004.2575","citing_paper":"/paper/2607.06738"},"observation_digest":"sha256:e63e596587f6526d1b8b7b590a8fa50e60b9b5fa2f7bcdd523d2faea0a7d00b0","observation_id":"ba396cfe-6636-4ab5-a721-a91203084980","resolution":{"observed_at":"2026-07-10T22:27:37.937354Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1004.2575","last_updated":"2010-04-15T08:07:02Z","snapshot_observed_at":"2026-08-09T07:18:41.981783Z","submitted_at":"2010-04-15T08:07:02Z","title":"Drinfeld realization of the elliptic Hall algebra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1004.2575","snapshot_observed_at":"2026-07-13T04:44:23.941272Z","title":"Schiffmann, J","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.09203","last_updated":"2026-07-25T09:46:35Z","snapshot_observed_at":"2026-08-12T23:47:24.494087Z","submitted_at":"2026-07-10T08:48:24Z","title":"Cherednik integrable system: eigenfunctions at generic eigenvalues","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-13T04:44:23.941272Z"},"links":{"cited_paper":"/paper/1004.2575","citing_paper":"/paper/2607.09203"},"observation_digest":"sha256:786dd5d73109ad10afe45cf116151ad38867f7d81e28083151e83c2d6a3412c4","observation_id":"a9fbc36e-2802-4104-8fc9-99f110a818b5","resolution":{"observed_at":"2026-07-13T04:44:23.941272Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1004.2575","last_updated":"2010-04-15T08:07:02Z","snapshot_observed_at":"2026-08-09T07:18:41.981783Z","submitted_at":"2010-04-15T08:07:02Z","title":"Drinfeld realization of the elliptic Hall algebra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1004.2575","snapshot_observed_at":"2026-08-02T07:44:40.027779Z","title":"Schiffmann, J","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.09203","last_updated":"2026-07-25T09:46:35Z","snapshot_observed_at":"2026-08-12T23:47:24.494087Z","submitted_at":"2026-07-10T08:48:24Z","title":"Cherednik integrable system: eigenfunctions at generic eigenvalues","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T07:44:40.027779Z"},"links":{"cited_paper":"/paper/1004.2575","citing_paper":"/paper/2607.09203"},"observation_digest":"sha256:2a561c0bc5ade611cbd734ec31433f9f3da0be4c6128187c11df135b3e4e16d1","observation_id":"a667507b-46bc-467a-ac8e-2e1ba77f0772","resolution":{"observed_at":"2026-08-02T07:44:40.027779Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1004.2575/citation-record","integrity":"/paper/1004.2575/integrity","json":"/paper/1004.2575/citation-record.json","paper":"/paper/1004.2575"},"outbound":[],"paper":{"arxiv_id":"1004.2575","last_updated":"2010-04-15T08:07:02Z","latest_version":1,"primary_category":"math.QA","snapshot_observed_at":"2026-08-09T07:18:41.981783Z","submitted_at":"2010-04-15T08:07:02Z","title":"Drinfeld realization of the elliptic Hall algebra"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:1004.2575."}