{"as_of":"2026-08-08T21:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0259c1efcb0de583e359c580140d6eeed3a1484a1c47dde979e7b361030277d0","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T11:13:30.686684Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2509.03045/citation-record","integrity":"/paper/2509.03045/integrity","json":"/paper/2509.03045/citation-record.json","paper":"/paper/2509.03045"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:13:33.560188Z","title":"Diffusions hypercontractives","venue":null,"work_id":"26f12893-dcb0-4f77-b00b-f202e8f5b376","year":1983},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:28.628102Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:46f7fc56c7f484d10cf424580eafb42d65c2627397273a437a00af2a8e368e12","observation_id":"884035a6-6714-4d7a-8e42-8b3a29d008fc","resolution":{"observed_at":"2026-08-05T11:13:33.633824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T11:13:33.315818Z","title":"Weitere Studien ¨ uber das W¨ armegleichgewicht unter Gasmolek¨ ulen, pages 115–","venue":null,"work_id":"2beeffce-a850-4e46-88cd-eea923caaf88","year":null},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:28.835731Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:56b531141b40853e4544486b525628d5d67c28b3d483e13cbb986b079883a18b","observation_id":"f27281ea-c2a6-4b61-9162-0f5a33f61b97","resolution":{"observed_at":"2026-08-05T11:13:33.446025Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T11:13:32.975427Z","title":"Carleman","venue":null,"work_id":"8628cc30-2dd7-4767-8b36-0a08b82ba531","year":1957},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:29.064925Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:427d4ca38d90d245aa3370f03e8d432e92ca28a45a920ddc4614f4ac13af22c0","observation_id":"4a7f441c-1b79-4a93-8461-f6b14bddad26","resolution":{"observed_at":"2026-08-05T11:13:33.035276Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T11:13:32.683068Z","title":"Spherical harmonics in p dimensions","venue":null,"work_id":"210cf146-280a-4788-8134-2eb0613a3fcc","year":2014},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:29.215407Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:e553ea0b81e9772d7d7923d1f25019ffc48c1aee808dc8d14d5f1c4909a7e9fc","observation_id":"880e084d-5798-45cb-9acd-d9f70de76d21","resolution":{"observed_at":"2026-08-05T11:13:32.846509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.09420","last_updated":"2025-01-27T21:34:09Z","snapshot_observed_at":"2026-07-06T16:48:16.671370Z","submitted_at":"2023-11-15T22:37:17Z","title":"The Landau equation does not blow up","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.09420","snapshot_observed_at":"2026-08-05T11:13:29.367408Z","title":"The Landau equation d oes not blow up","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:29.367408Z"},"links":{"cited_paper":"/paper/2311.09420","citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:d42144048381ca201356d581f81e627ca38710cd617947101855f9f8cf15d2ba","observation_id":"8b42a815-e491-440a-b795-6fa4e03b59cc","resolution":{"observed_at":"2026-08-05T11:13:29.367408Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:13:32.577854Z","title":"Well-posedness of spatially homogeneous B oltzmann equation with full-range interaction","venue":null,"work_id":"c679bf97-25a4-41ea-b426-a7111e2dc047","year":2012},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:29.445939Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:70d974ff345c623578775f2015bd9695818486fb4184d2ea33ac1e05541154f1","observation_id":"c38c0abf-7e66-4b23-8e0f-0f5f8072f690","resolution":{"observed_at":"2026-08-05T11:13:32.614958Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T11:13:32.367413Z","title":"On th e monotonicity of the Fisher information for the Boltzmann equation, 2024","venue":null,"work_id":"29084c37-e9e6-4e54-a221-f3f19782caf5","year":2024},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:29.646987Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:9f23218783e24eaed09ff797f092fca15eedd0ba395295041ba30827925ffdfc","observation_id":"1898297c-6b4e-4ed1-8023-6eaab0852108","resolution":{"observed_at":"2026-08-05T11:13:32.513121Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.13954","last_updated":"2024-08-25T22:57:07Z","snapshot_observed_at":"2026-08-04T11:54:49.226363Z","submitted_at":"2024-08-25T22:57:07Z","title":"Bounds for the optimal constant of the Bakry-\\'Emery $\\Gamma_2$ criterion inequality on $ RP^{d-1}$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.13954","snapshot_observed_at":"2026-08-05T11:13:29.746469Z","title":"Bounds for the optimal constant of the bakry-´ emery Γ 2 criterion inequality on RP d−1","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:29.746469Z"},"links":{"cited_paper":"/paper/2408.13954","citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:3c218285f2190c080b52d2f3f3f8c9b5351c164e10c7f155bf4c4e406a3ae166","observation_id":"0d0e7842-d2da-49da-89a9-d26f6097d95f","resolution":{"observed_at":"2026-08-05T11:13:29.746469Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:13:32.125361Z","title":null,"venue":null,"work_id":"13a43f23-4967-4949-8fb0-8769cf85b1cc","year":1936},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:29.875154Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:1305978359754443be844e38c62bbe3addecd53d696f20dfc56bb95207a34f1a","observation_id":"f23957dc-6f40-4222-b07b-77e9efd56ca3","resolution":{"observed_at":"2026-08-05T11:13:32.203709Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T11:13:31.934029Z","title":null,"venue":null,"work_id":"0f8ee135-1070-48ea-be9a-f465fb8b66ee","year":null},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:29.957789Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:c64c57ad1eb7f401793cbfdb53d56a9cbe04cd4f94614707beac1ae44b6f8fd2","observation_id":"a95d2c50-0d26-4c62-9305-b147197e6f73","resolution":{"observed_at":"2026-08-05T11:13:31.998082Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T11:13:31.713540Z","title":null,"venue":null,"work_id":"a71ccb1e-f172-4a20-b3ec-d1c9df4ff8e6","year":1966},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:30.033107Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:1e74050101ab3ad7e7b5533b8504169e8b0d9e5eba56710fe6a7566ccc7b5c92","observation_id":"81fa139e-319a-4439-bded-e809838ce46f","resolution":{"observed_at":"2026-08-05T11:13:31.784516Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T11:13:31.499716Z","title":"L´ evy processes and infinitely divisible distributions , volume 68 of Cambridge Studies in Advanced Mathematics","venue":null,"work_id":"57d9be79-0022-4899-b68e-19d83a0fa5be","year":2013},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:30.112821Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:a6a5c2b8a215beef18cc4c874a94703860ebfff3731e5e0f749ec4c0599a415a","observation_id":"d60f44df-d534-4923-910a-8067e91f2f52","resolution":{"observed_at":"2026-08-05T11:13:31.600708Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T11:13:31.371053Z","title":"Silvestre","venue":null,"work_id":"6414d2e8-f451-4669-adbe-d100e94566d7","year":2024},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:30.281628Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:2a34e1f55aca92be7a6af940a4352c05341f7ac0f33ea2d04c04f4ee765d4c27","observation_id":"967a41bd-47df-48a0-84bc-88e91c95890b","resolution":{"observed_at":"2026-08-05T11:13:31.427780Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T11:13:31.237997Z","title":null,"venue":null,"work_id":"e6ce747c-10a1-44b2-b1cc-dc291d4b15fa","year":1992},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:30.403152Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:dd0018fade79149935c4c33345641df4264717f842447951d09500d5a4095691","observation_id":"d4d27de5-7f6f-41ed-b58a-a1a275e2e11b","resolution":{"observed_at":"2026-08-05T11:13:31.275649Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T11:13:31.124438Z","title":null,"venue":null,"work_id":"836faa5a-94b9-41ea-b44d-efca371533af","year":1998},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:30.547893Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:1bfe2e684de3a4b19033c1c37b5ecac3572f990fb2f489027ec104eba37059a8","observation_id":"fc4447d1-4e33-43b0-8afe-d21a48ce39d8","resolution":{"observed_at":"2026-08-05T11:13:31.167922Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T11:13:30.893079Z","title":"Fisher information in kinetic theory","venue":null,"work_id":"4e45307b-94b1-459c-90cf-c9728a1918a8","year":null},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:30.686684Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:c3c9e064cd66b90e78d33aec87d28ced4de43514e84c856084e044beddc14473","observation_id":"959822f5-6e49-4bf8-a79a-259e86a33d80","resolution":{"observed_at":"2026-08-05T11:13:30.995756Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T11:13:33.131201Z","title":null,"venue":null,"work_id":"0e3ce602-70ef-4ca7-99ef-a5a9141bd12d","year":1970},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":225,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:28.980314Z"},"links":{"citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:57b5de568a1b90470ea207a7345b16ebf42cc90c7e3c6a7a0ec01c274d0660e7","observation_id":"e9ba2e3a-08c4-4d30-a210-8cdf4656b4d8","resolution":{"observed_at":"2026-08-05T11:13:33.235744Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":0,"verified_fuzzy":9},"total_outbound_references":17},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2509.03045."}