{"as_of":"2026-08-09T22:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:be4519cd7fb544d25b356fb027de3dcc7b01182ef2049491938760254b700e74","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":"2026-08-09T06:31:02.800959+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":"2026-08-09T11:43:10.987107Z","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":"2026-07-03T22:39:02.263925Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2107.10744","last_updated":"2022-05-27T20:36:42Z","snapshot_observed_at":"2026-07-06T11:31:36.085248Z","submitted_at":"2021-07-22T15:25:54Z","title":"Harmonic analysis of 2d CFT partition functions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.10744","snapshot_observed_at":"2026-08-09T11:43:10.987107Z","title":"Benjamin, S","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.02661","last_updated":"2025-06-07T16:21:18Z","snapshot_observed_at":"2026-08-09T11:30:26.098913Z","submitted_at":"2025-02-04T19:02:42Z","title":"The Conformal Primon Gas at the End of Time","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-09T11:43:10.987107Z"},"links":{"cited_paper":"/paper/2107.10744","citing_paper":"/paper/2502.02661"},"observation_digest":"sha256:c76ae4c73acc8b118d45317f5b311559f68e90d749f3fd14f5889156219b37a0","observation_id":"548385a1-db90-4337-a64a-a919a5008f15","resolution":{"observed_at":"2026-08-09T11:43:10.987107Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.10744","last_updated":"2022-05-27T20:36:42Z","snapshot_observed_at":"2026-07-06T11:31:36.085248Z","submitted_at":"2021-07-22T15:25:54Z","title":"Harmonic analysis of 2d CFT partition functions","version":3},"cited_work":{"arxiv_id":"2107.10744","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2107.10744","snapshot_observed_at":"2026-07-03T22:39:02.263925Z","title":"Benjamin, S","venue":null,"work_id":"baa16099-8a81-4d2d-a8e7-8f22ceac133d","year":2021},"citing_paper":{"arxiv_id":"2505.03068","last_updated":"2026-05-06T18:22:09Z","snapshot_observed_at":"2026-08-05T11:57:11.588386Z","submitted_at":"2025-05-05T23:22:00Z","title":"M\\\"obius randomness in the Hartle-Hawking state","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-05-22T15:52:46.785764Z"},"links":{"cited_paper":"/paper/2107.10744","citing_paper":"/paper/2505.03068"},"observation_digest":"sha256:0d8e0d52a87c6f00347d1dcace44b180ff46cfb0246d0fd2f6f61b36a218a9b3","observation_id":"d326d856-c996-4bed-b2a3-8555e4d47fcf","resolution":{"observed_at":"2026-05-22T15:54:58.598696Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.10744","last_updated":"2022-05-27T20:36:42Z","snapshot_observed_at":"2026-07-06T11:31:36.085248Z","submitted_at":"2021-07-22T15:25:54Z","title":"Harmonic analysis of 2d CFT partition functions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.10744","snapshot_observed_at":"2026-08-07T14:41:15.344055Z","title":"Benjamin, S","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.18314","last_updated":"2025-05-23T19:17:59Z","snapshot_observed_at":"2026-08-09T06:47:09.594400Z","submitted_at":"2025-05-23T19:17:59Z","title":"Properties of scalar partition functions of 2d CFTs","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T14:41:15.344055Z"},"links":{"cited_paper":"/paper/2107.10744","citing_paper":"/paper/2505.18314"},"observation_digest":"sha256:02e823de95f0cf3e1ba2dc2912605152155ddfc7bee9dec089144f20b90f5b24","observation_id":"cc34c671-9a09-4d4b-9400-c08809b60f53","resolution":{"observed_at":"2026-08-07T14:41:15.344055Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.10744","last_updated":"2022-05-27T20:36:42Z","snapshot_observed_at":"2026-07-06T11:31:36.085248Z","submitted_at":"2021-07-22T15:25:54Z","title":"Harmonic analysis of 2d CFT partition functions","version":3},"cited_work":{"arxiv_id":"2107.10744","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2107.10744","snapshot_observed_at":"2026-07-03T22:39:02.263925Z","title":"Benjamin, S","venue":null,"work_id":"baa16099-8a81-4d2d-a8e7-8f22ceac133d","year":2021},"citing_paper":{"arxiv_id":"2506.04151","last_updated":"2026-04-06T13:41:36Z","snapshot_observed_at":"2026-08-08T23:12:36.537624Z","submitted_at":"2025-06-04T16:44:40Z","title":"Surgery and statistics in 3d gravity","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-05-19T11:03:09.730307Z"},"links":{"cited_paper":"/paper/2107.10744","citing_paper":"/paper/2506.04151"},"observation_digest":"sha256:b387e4b87783037a7a6ede14360c5ca3980cfa70b3c23bce0e1843493ec8c460","observation_id":"dbe72c33-2e13-4b1d-aff8-8431fef973ff","resolution":{"observed_at":"2026-05-19T11:07:15.637577Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.10744","last_updated":"2022-05-27T20:36:42Z","snapshot_observed_at":"2026-07-06T11:31:36.085248Z","submitted_at":"2021-07-22T15:25:54Z","title":"Harmonic analysis of 2d CFT partition functions","version":3},"cited_work":{"arxiv_id":"2107.10744","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2107.10744","snapshot_observed_at":"2026-07-03T22:39:02.263925Z","title":"Benjamin, S","venue":null,"work_id":"baa16099-8a81-4d2d-a8e7-8f22ceac133d","year":2021},"citing_paper":{"arxiv_id":"2604.01275","last_updated":"2026-08-02T21:09:17Z","snapshot_observed_at":"2026-08-06T23:24:25.457356Z","submitted_at":"2026-04-01T18:00:03Z","title":"Descending into the Modular Bootstrap","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-13T21:43:03.494344Z"},"links":{"cited_paper":"/paper/2107.10744","citing_paper":"/paper/2604.01275"},"observation_digest":"sha256:ca83950dc79ed4d0c5d95c251b452404d86d9d356786aee188e17982ef2be571","observation_id":"22dfb788-8243-4919-a1d9-83e1febcd819","resolution":{"observed_at":"2026-05-13T21:43:18.914263Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.10744","last_updated":"2022-05-27T20:36:42Z","snapshot_observed_at":"2026-07-06T11:31:36.085248Z","submitted_at":"2021-07-22T15:25:54Z","title":"Harmonic analysis of 2d CFT partition functions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.10744","snapshot_observed_at":"2026-08-04T05:40:05.246068Z","title":"Benjamin, S","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2604.01275","last_updated":"2026-08-02T21:09:17Z","snapshot_observed_at":"2026-08-06T23:24:25.457356Z","submitted_at":"2026-04-01T18:00:03Z","title":"Descending into the Modular Bootstrap","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T05:40:05.246068Z"},"links":{"cited_paper":"/paper/2107.10744","citing_paper":"/paper/2604.01275"},"observation_digest":"sha256:cefcc03c07e7db003d3aebb95c1f1ab078ae60341d37568655d570e1db78ce46","observation_id":"14d733d5-c8d8-4dc3-9a00-19eb998f6184","resolution":{"observed_at":"2026-08-04T05:40:05.246068Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.10744","last_updated":"2022-05-27T20:36:42Z","snapshot_observed_at":"2026-07-06T11:31:36.085248Z","submitted_at":"2021-07-22T15:25:54Z","title":"Harmonic analysis of 2d CFT partition functions","version":3},"cited_work":{"arxiv_id":"2107.10744","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2107.10744","snapshot_observed_at":"2026-07-03T22:39:02.263925Z","title":"Benjamin, S","venue":null,"work_id":"baa16099-8a81-4d2d-a8e7-8f22ceac133d","year":2021},"citing_paper":{"arxiv_id":"2604.20839","last_updated":"2026-05-05T14:55:04Z","snapshot_observed_at":"2026-07-06T23:07:31.559812Z","submitted_at":"2026-04-22T17:59:09Z","title":"Beyond Hagedorn: A Harmonic Approach to $T\\bar{T}$-deformation","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-09T23:54:52.545250Z"},"links":{"cited_paper":"/paper/2107.10744","citing_paper":"/paper/2604.20839"},"observation_digest":"sha256:c80e03fd7c5a6da9ebe0ae3a6098f6aa9ebe50254a42bc20e06b5ce02ebb081b","observation_id":"43c0039b-a1fb-4106-a069-7f9a6c4d6207","resolution":{"observed_at":"2026-05-11T13:56:03.048688Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.10744","last_updated":"2022-05-27T20:36:42Z","snapshot_observed_at":"2026-07-06T11:31:36.085248Z","submitted_at":"2021-07-22T15:25:54Z","title":"Harmonic analysis of 2d CFT partition functions","version":3},"cited_work":{"arxiv_id":"2107.10744","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2107.10744","snapshot_observed_at":"2026-07-03T22:39:02.263925Z","title":"Benjamin, S","venue":null,"work_id":"baa16099-8a81-4d2d-a8e7-8f22ceac133d","year":2021},"citing_paper":{"arxiv_id":"2606.18351","last_updated":"2026-06-16T18:00:09Z","snapshot_observed_at":"2026-08-06T03:21:24.006977Z","submitted_at":"2026-06-16T18:00:09Z","title":"Probing weak chaos in $\\mathcal N=4$ super Yang-Mills and long-range spin chains","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-26T23:18:47.840411Z"},"links":{"cited_paper":"/paper/2107.10744","citing_paper":"/paper/2606.18351"},"observation_digest":"sha256:76360c9e266e5c761b40574d13077702a0b09f6896ff8c41878fe21e96b8ba85","observation_id":"3bc1ed3f-1743-4309-b225-9dac8d9969a0","resolution":{"observed_at":"2026-07-03T22:39:02.265192Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2107.10744/citation-record","integrity":"/paper/2107.10744/integrity","json":"/paper/2107.10744/citation-record.json","paper":"/paper/2107.10744"},"outbound":[],"paper":{"arxiv_id":"2107.10744","last_updated":"2022-05-27T20:36:42Z","latest_version":3,"primary_category":"hep-th","snapshot_observed_at":"2026-07-06T11:31:36.085248Z","submitted_at":"2021-07-22T15:25:54Z","title":"Harmonic analysis of 2d CFT partition functions"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2107.10744."}