{"as_of":"2026-08-19T19:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:240b42b9ea9dfbf0c5a6d78e73743604f422ab06a4ca4bd749f228a241704656","coverage":[{"denominator":57,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":57,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T07:46:32.013556Z","state":"measured"},{"denominator":62,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":62,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T21:45:00.564173Z","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":"2026-05-21T03:23:55.870108Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2601.19464","snapshot_observed_at":"2026-08-02T21:45:00.564173Z","title":"Gavassino, (2026), arXiv:2601.19464 [gr-qc]","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2602.21254","last_updated":"2026-06-22T15:35:43Z","snapshot_observed_at":"2026-08-19T17:07:52.917991Z","submitted_at":"2026-02-23T08:59:43Z","title":"Lorentz-boosted diffusion: initial value formulation and exact solutions","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-02T21:45:00.564173Z"},"links":{"cited_paper":"/paper/2601.19464","citing_paper":"/paper/2602.21254"},"observation_digest":"sha256:d3bb9c7f1fb15d3f0134d22f66110df91cf96132c49ea78c58efbdf165097f95","observation_id":"27aa52b5-1063-445f-8414-c149e1256a6a","resolution":{"observed_at":"2026-08-02T21:45:00.564173Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"cited_work":{"arxiv_id":"2601.19464","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2601.19464","snapshot_observed_at":"2026-07-09T02:19:50.538221Z","title":"Gavassino,The diffusion equation is compatible with special relativity","venue":null,"work_id":"1f09d94b-0b64-478e-9b50-b458ae6e4b72","year":2026},"citing_paper":{"arxiv_id":"2604.07031","last_updated":"2026-04-08T12:48:17Z","snapshot_observed_at":"2026-07-06T22:55:24.459130Z","submitted_at":"2026-04-08T12:48:17Z","title":"How acausal equations emerge from causal dynamics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-10T18:06:16.603874Z"},"links":{"cited_paper":"/paper/2601.19464","citing_paper":"/paper/2604.07031"},"observation_digest":"sha256:028d9a0ac6b3a304affc21e167b631bf0a26ffb6c83990c1fc1be6c19d4243d0","observation_id":"09a47f4b-bb33-4b24-966d-203dae201e99","resolution":{"observed_at":"2026-07-09T02:19:50.538221Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"cited_work":{"arxiv_id":"2601.19464","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2601.19464","snapshot_observed_at":"2026-07-09T02:19:50.538221Z","title":"Gavassino,The diffusion equation is compatible with special relativity","venue":null,"work_id":"1f09d94b-0b64-478e-9b50-b458ae6e4b72","year":2026},"citing_paper":{"arxiv_id":"2605.21377","last_updated":"2026-07-08T16:13:18Z","snapshot_observed_at":"2026-08-14T10:43:51.225871Z","submitted_at":"2026-05-20T16:39:51Z","title":"Causal UV completions of relativistic hydrodynamics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-21T03:20:44.899073Z"},"links":{"cited_paper":"/paper/2601.19464","citing_paper":"/paper/2605.21377"},"observation_digest":"sha256:be2eab19453749679f4aad20fbfa653033fde1d9e635ad398837586e8bf43fe7","observation_id":"8fa8ff4a-6827-431c-b913-8d89d44d1ef5","resolution":{"observed_at":"2026-07-09T02:19:50.538221Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2601.19464","snapshot_observed_at":"2026-07-12T16:18:44.284697Z","title":"Gavassino,The diffusion equation is compatible with special relativity, arXiv:2601.19464","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.21377","last_updated":"2026-07-08T16:13:18Z","snapshot_observed_at":"2026-08-14T10:43:51.225871Z","submitted_at":"2026-05-20T16:39:51Z","title":"Causal UV completions of relativistic hydrodynamics","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-12T16:18:44.284697Z"},"links":{"cited_paper":"/paper/2601.19464","citing_paper":"/paper/2605.21377"},"observation_digest":"sha256:209d37439d6398f9025b73705410402c895d9630f224b3b72ab89aa59743d83b","observation_id":"c611e110-0ef6-4764-aef8-41d7748cff67","resolution":{"observed_at":"2026-07-12T16:18:44.284697Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2601.19464","snapshot_observed_at":"2026-07-14T13:56:04.833504Z","title":"Gavassino, Phys","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.10148","last_updated":"2026-07-11T06:15:54Z","snapshot_observed_at":"2026-08-15T01:36:26.582742Z","submitted_at":"2026-07-11T06:15:54Z","title":"The Lorentzian geometry of relaxation","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-14T13:56:04.833504Z"},"links":{"cited_paper":"/paper/2601.19464","citing_paper":"/paper/2607.10148"},"observation_digest":"sha256:f24b397f05988065cf7633990f18a0c284ae2b09260e31d377e5b127692b810e","observation_id":"17adbf69-3d60-422f-a024-be54762213e5","resolution":{"observed_at":"2026-07-14T13:56:04.833504Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2601.19464/citation-record","integrity":"/paper/2601.19464/integrity","json":"/paper/2601.19464/citation-record.json","paper":"/paper/2601.19464"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T07:46:30.994604Z","title":"Fick, Annalen der Physik und Chemie94, 59 (1855)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:30.994604Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:54276933ae7b8f96b823811c7a2745f8e0de81eb9db77ea95bf57e6f4609464d","observation_id":"5de45ade-a65e-42e3-afdc-126983c54a4a","resolution":{"observed_at":"2026-08-03T07:46:30.994604Z","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":"2026-08-03T07:46:31.002864Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.002864Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:4e8d6f669a2d6093f90186629efc9c3d2bbf2e940a641be94e77f9aacfd14d39","observation_id":"3c6dada2-ef68-4083-bb66-bb68763e33e7","resolution":{"observed_at":"2026-08-03T07:46:31.002864Z","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":"2026-08-03T07:46:31.013477Z","title":"Peliti,Statistical Mechanics in a Nutshell, In a nutshell (Princeton University Press, 2011)","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.013477Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:d1878a08936da415cefbb5e7f678b02bd5aa37bccb980aaab5322f17db0d80ef","observation_id":"3345199a-2798-47a3-923b-1847f0bb86e8","resolution":{"observed_at":"2026-08-03T07:46:31.013477Z","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":"2026-08-03T07:46:31.026537Z","title":"Landau and E","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.026537Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:7726f6940e33f09403d5443a6c339c47ad807e305cf59e20f7abf46844f2bcbf","observation_id":"583a1f97-2a30-4580-93ee-afda099250b5","resolution":{"observed_at":"2026-08-03T07:46:31.026537Z","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":"2026-08-03T07:46:31.038719Z","title":"Landau and E","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.038719Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:90d49bb049a55d9b89646d86ad8b1fc3565f0c6beb212d8d02eb219dcf500ee0","observation_id":"ccb730b3-cd54-441b-b4fa-8eeb28d7ae02","resolution":{"observed_at":"2026-08-03T07:46:31.038719Z","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":"2026-08-03T07:46:31.053107Z","title":"Einstein, Annalen der Physik322, 549 (1905)","venue":null,"work_id":null,"year":1905},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.053107Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:ac98838396afb63d6016ec1f7761c3e4555a945f7476c3e1c8e0215668072e02","observation_id":"8c16ecd2-2bac-4c26-953e-aec6a5c8102b","resolution":{"observed_at":"2026-08-03T07:46:31.053107Z","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":"2026-08-03T07:46:31.065867Z","title":null,"venue":null,"work_id":null,"year":1953},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.065867Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:3de601d72bb469d951ab6a4c600b7cc3ba6d4f9246e9071584c792eb6ca41eb2","observation_id":"a0026f70-1b6e-4a37-a7ab-337cf6e4ed0d","resolution":{"observed_at":"2026-08-03T07:46:31.065867Z","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":"2026-08-03T07:46:31.081604Z","title":null,"venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.081604Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:6606d77194f381c26251863dcfc7b01c00a9e462018fb9468b2897764725e3ae","observation_id":"a7331094-166b-4bab-8455-eabfa2deb68e","resolution":{"observed_at":"2026-08-03T07:46:31.081604Z","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":"2026-08-03T07:46:31.090872Z","title":"Israel and J","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.090872Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:4ddd9664620c68d55e611af66666af15114243d16307056ecf04c73fd56fea1b","observation_id":"a3abede1-ddda-4503-b8db-5efeaf70bcb1","resolution":{"observed_at":"2026-08-03T07:46:31.090872Z","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":"2026-08-03T07:46:31.109713Z","title":"Hiscock and L","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.109713Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:c665fc80697fd6265e337a5488041093d3cd071b294daf02e945a51223b257fc","observation_id":"3e0789a8-cf22-4859-b122-395be6e79bd8","resolution":{"observed_at":"2026-08-03T07:46:31.109713Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0712.2451","last_updated":"2008-07-15T16:41:57Z","snapshot_observed_at":"2026-08-15T10:25:22.832484Z","submitted_at":"2007-12-14T21:00:05Z","title":"Relativistic viscous hydrodynamics, conformal invariance, and holography","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0712.2451","snapshot_observed_at":"2026-08-03T07:46:31.115651Z","title":"Baier, P","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.115651Z"},"links":{"cited_paper":"/paper/0712.2451","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:49fce980457ae621c47a42ad513b2dc9f5c0d666744872304da23afe5bcc6b4a","observation_id":"72cd22b5-0579-4459-a2c8-df20410614c6","resolution":{"observed_at":"2026-08-03T07:46:31.115651Z","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":"2026-08-03T07:46:31.123273Z","title":"Muller and T","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.123273Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:31024d2862c8b7f7223e68b3c0c614fdd8ae437d1ccd7ca400d48a06ff25dbec","observation_id":"cfcb4dcc-ddb1-463e-8307-051c33ce09d8","resolution":{"observed_at":"2026-08-03T07:46:31.123273Z","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":"2026-08-03T07:46:31.129657Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.129657Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:6d67dda2a162c98a9c507e6e0d98434f93a2ee3d81979995c276e0c2dd7ee580","observation_id":"cf16034d-4772-4735-b074-4265343c6737","resolution":{"observed_at":"2026-08-03T07:46:31.129657Z","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":"2026-08-03T07:46:31.135712Z","title":"Rezzolla and O","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.135712Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:fd15def793d13e5135de8862075f9bd273e33c5acbd3b029344dc3e69d01f609","observation_id":"54b11c14-1138-473a-b242-218b2e32e1b6","resolution":{"observed_at":"2026-08-03T07:46:31.135712Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1712.05815","last_updated":"2019-05-17T18:00:02Z","snapshot_observed_at":"2026-08-14T20:03:10.465917Z","submitted_at":"2017-12-15T19:20:35Z","title":"Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.05815","snapshot_observed_at":"2026-08-03T07:46:31.147426Z","title":"Romatschke and U","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.147426Z"},"links":{"cited_paper":"/paper/1712.05815","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:0174bfd2e65b356c4697f41472002a49395427cc35d87ce08ebb285e36cadc6b","observation_id":"d6a185b2-6f95-4906-8b49-1339447bd1da","resolution":{"observed_at":"2026-08-03T07:46:31.147426Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.15184","last_updated":"2021-05-31T17:46:29Z","snapshot_observed_at":"2026-08-16T18:20:46.975566Z","submitted_at":"2021-05-31T17:46:29Z","title":"Unified Extended Irreversible Thermodynamics and the stability of relativistic theories for dissipation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.15184","snapshot_observed_at":"2026-08-03T07:46:31.152897Z","title":"Gavassino and M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.152897Z"},"links":{"cited_paper":"/paper/2105.15184","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:92e08f4ad5e75b6532d7a46478b248ed6f38bea4637052690ee3d89c94480fda","observation_id":"817d77a4-24ff-4c5e-969d-b7d937f27028","resolution":{"observed_at":"2026-08-03T07:46:31.152897Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.05254","last_updated":"2022-10-03T19:56:13Z","snapshot_observed_at":"2026-08-16T17:42:57.704109Z","submitted_at":"2021-11-09T16:45:44Z","title":"Can we make sense of dissipation without causality?","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.05254","snapshot_observed_at":"2026-08-03T07:46:31.158799Z","title":"Gavassino, Phys","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.158799Z"},"links":{"cited_paper":"/paper/2111.05254","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:fc59513b572221b78aaeea32d15f829417e3fa779c56b7f0307fdf860d136100","observation_id":"b5a3bb11-aa15-4d03-80bf-2388a29bed5c","resolution":{"observed_at":"2026-08-03T07:46:31.158799Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.15063","last_updated":"2023-11-25T16:12:17Z","snapshot_observed_at":"2026-08-16T14:40:26.216270Z","submitted_at":"2023-11-25T16:12:17Z","title":"Theories of Relativistic Dissipative Fluid Dynamics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.15063","snapshot_observed_at":"2026-08-03T07:46:31.165768Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.165768Z"},"links":{"cited_paper":"/paper/2311.15063","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:6e6ec57a96d77c71eebba07b039809e58dec08cc69007dc67910667f50190f29","observation_id":"5c15f3b2-bb88-480e-bad0-c7f0e8a929be","resolution":{"observed_at":"2026-08-03T07:46:31.165768Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"cond-mat/0010276","last_updated":"2000-10-19T07:05:47Z","snapshot_observed_at":"2026-08-07T19:30:39.819534Z","submitted_at":"2000-10-19T07:05:47Z","title":"On the Causality and Stability of the Relativistic Diffusion Equation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"cond-mat/0010276","snapshot_observed_at":"2026-08-03T07:46:31.179229Z","title":"Kost ¨adt and M","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.179229Z"},"links":{"cited_paper":"/paper/cond-mat/0010276","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:b386031cd18641619078c161073523686898d398fe6206f8ebb56287510d0d40","observation_id":"23d46d3a-bd0c-4450-bcd7-f3979776fa5c","resolution":{"observed_at":"2026-08-03T07:46:31.179229Z","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":"2026-08-03T07:46:31.191305Z","title":"Geroch and L","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.191305Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:d1a195d5e9f93cc2bcec2f14799f9b18ed47b2f6aa685f6283fdf2f637affbb2","observation_id":"bdb5fc60-71ec-4524-9bc7-7e8de1bb3640","resolution":{"observed_at":"2026-08-03T07:46:31.191305Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.03478","last_updated":"2024-05-31T19:05:21Z","snapshot_observed_at":"2026-08-16T15:57:47.176705Z","submitted_at":"2023-02-04T00:56:43Z","title":"Universality Classes of Relativistic Fluid Dynamics: Foundations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.03478","snapshot_observed_at":"2026-08-03T07:46:31.200092Z","title":"Gavassino, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.200092Z"},"links":{"cited_paper":"/paper/2302.03478","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:1410ab92f512de3b53480aad435c868f623cfa2202b980dea363382ee83524f0","observation_id":"1dcc6d53-20b1-4cb2-a7d9-74920a53de1f","resolution":{"observed_at":"2026-08-03T07:46:31.200092Z","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":"2026-08-03T07:46:31.214287Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.214287Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:6d51caed6e909a328c15a020a2acb063cd7e7410e240c57deb48b6ce16472f60","observation_id":"a79d1781-243f-4ea6-bb89-f5d179318b9b","resolution":{"observed_at":"2026-08-03T07:46:31.214287Z","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":"2026-08-03T07:46:31.223177Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.223177Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:fead0b172d88e165a271b19b7b3d1f4073a8d50d8f73cd667bada4a68e6a3636","observation_id":"66b7b7f9-034d-4c78-9f60-2a8e14b35339","resolution":{"observed_at":"2026-08-03T07:46:31.223177Z","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":"2026-08-03T07:46:31.230374Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.230374Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:c41f351c133a92793ce68c18ede67bbc63c3368abfb7517a0c009c24d6c74d82","observation_id":"b82e5330-6bab-42ff-993a-eea76d084aab","resolution":{"observed_at":"2026-08-03T07:46:31.230374Z","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":"2026-08-03T07:46:31.238301Z","title":"Geroch and L","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.238301Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:225ef01292fab07f18c8cb6c213928bfd380ad88de2c1c22bf83dc13d73e9be0","observation_id":"058642f1-85b2-4dec-8d25-f34ac25683eb","resolution":{"observed_at":"2026-08-03T07:46:31.238301Z","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":"2026-08-03T07:46:31.253534Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.253534Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:c73d4ccca036efffc52b232a93f65af5d3debd22f98158610b42b6466bf0a621","observation_id":"072d59f8-ce2e-475d-8c46-1f316a7b9fe9","resolution":{"observed_at":"2026-08-03T07:46:31.253534Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1907.08191","last_updated":"2019-10-18T21:30:13Z","snapshot_observed_at":"2026-08-14T16:05:00.476745Z","submitted_at":"2019-07-17T18:00:02Z","title":"First-order relativistic hydrodynamics is stable","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.08191","snapshot_observed_at":"2026-08-03T07:46:31.262068Z","title":"Kovtun, Journal of High Energy Physics2019, 34 (2019), arXiv:1907.08191 [hep-th]","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.262068Z"},"links":{"cited_paper":"/paper/1907.08191","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:91944b1502b92a0874b76fdda1e126bbcc907bc130e35f3543b8857e9ca63c3e","observation_id":"56dc86e0-17d1-4e59-ad9e-c9246976161f","resolution":{"observed_at":"2026-08-03T07:46:31.262068Z","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":"2026-08-03T07:46:31.268581Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.268581Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:e843c047ea3f7d6e477055e72fae0f670f8503c0455060d50274e85650cd9002","observation_id":"39d11c5a-e5bf-4dfd-98c1-46ff7253c246","resolution":{"observed_at":"2026-08-03T07:46:31.268581Z","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":"2026-08-03T07:46:31.276848Z","title":"Gavassino and M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.276848Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:211eab6a6f7a77a91f85348e398d1cadb077b4adb9c9386a8d2b0ea51405be00","observation_id":"17d5b80f-b5e0-47de-9031-07ceda5bde7d","resolution":{"observed_at":"2026-08-03T07:46:31.276848Z","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":"2026-08-03T07:46:31.295926Z","title":"Geroch, Journal of Mathematical Physics36, 4226 (1995)","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.295926Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:f8be65e2322b94b8caa5ebf4dd5b6dec09adf16113b1bcaccbedfac37a260bdb","observation_id":"496de122-f39f-45a4-853e-44223481a172","resolution":{"observed_at":"2026-08-03T07:46:31.295926Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9508058","last_updated":"1995-08-28T20:23:38Z","snapshot_observed_at":"2026-08-14T10:39:05.533028Z","submitted_at":"1995-08-28T20:23:38Z","title":"The Relaxation Effect in Dissipative Relativistic Fluid Theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9508058","snapshot_observed_at":"2026-08-03T07:46:31.300749Z","title":"Lindblom, Annals of Physics247, 1 (1996), arXiv:gr-qc/9508058 [gr-qc]","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.300749Z"},"links":{"cited_paper":"/paper/gr-qc/9508058","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:aaab824d703593d990b3f65bbf3bdad8f8873ff032cd80708393c5376298feed","observation_id":"02fe7a21-f2ed-49e9-af71-b9f0a1da10c4","resolution":{"observed_at":"2026-08-03T07:46:31.300749Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0103112","last_updated":"2001-03-30T18:48:02Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2001-03-30T18:48:02Z","title":"On Hyperbolic \"Theories\" of Relativistic Dissipative Fluids","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0103112","snapshot_observed_at":"2026-08-03T07:46:31.307857Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.307857Z"},"links":{"cited_paper":"/paper/gr-qc/0103112","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:c95e8ef8b936689630f9eaa443d04892f3aa8650991423f7f4bf286d42422cc9","observation_id":"9ac6f2e9-29ee-4066-887c-f808eea0731d","resolution":{"observed_at":"2026-08-03T07:46:31.307857Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.15782","last_updated":"2021-08-08T18:57:15Z","snapshot_observed_at":"2026-08-16T19:09:33.688927Z","submitted_at":"2020-10-29T17:26:12Z","title":"Effective field theory for hydrodynamics without boosts","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.15782","snapshot_observed_at":"2026-08-03T07:46:31.315398Z","title":"Armas and A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.315398Z"},"links":{"cited_paper":"/paper/2010.15782","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:43ce1ba632e39d0cbd502cea1b6a81704dee349580043c84f57e06bc064bd96f","observation_id":"c742f7c9-152d-49d2-b14e-b5cfc3ddf894","resolution":{"observed_at":"2026-08-03T07:46:31.315398Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.04185","last_updated":"2024-07-27T15:33:27Z","snapshot_observed_at":"2026-08-16T14:12:06.386538Z","submitted_at":"2024-03-07T03:35:01Z","title":"The stochastic relativistic advection diffusion equation from the Metropolis algorithm","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.04185","snapshot_observed_at":"2026-08-03T07:46:31.327159Z","title":"Ba¸ sar, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.327159Z"},"links":{"cited_paper":"/paper/2403.04185","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:128887aeb7e92266fee5547a59851d00eb9ae363d196bafbb35d1f30093fa1cc","observation_id":"a0ee8c96-c313-4b17-8d16-471c24b12f11","resolution":{"observed_at":"2026-08-03T07:46:31.327159Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.18815","last_updated":"2025-08-25T18:56:05Z","snapshot_observed_at":"2026-08-17T22:01:02.535488Z","submitted_at":"2025-05-24T18:21:27Z","title":"Noncovariant parabolic theories of relativistic diffusion","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.18815","snapshot_observed_at":"2026-08-03T07:46:31.334358Z","title":"Gavassino, Phys","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.334358Z"},"links":{"cited_paper":"/paper/2505.18815","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:823ef25b4877def48bed21a3003567d87d10d7bb8c7de3a13218a455637e734a","observation_id":"25f90bdc-00de-4370-80af-0fe397720b3b","resolution":{"observed_at":"2026-08-03T07:46:31.334358Z","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":"2026-08-03T07:46:31.341170Z","title":"Debbasch, K","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.341170Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:61a09cee5e34c45104453e5becea6acb23641e0c1a04f0671472d26710a3c586","observation_id":"5f172747-19dd-46ae-8199-524c9ecbfbe8","resolution":{"observed_at":"2026-08-03T07:46:31.341170Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0812.1996","last_updated":"2009-01-26T14:58:04Z","snapshot_observed_at":"2026-08-15T05:59:36.791416Z","submitted_at":"2008-12-10T19:00:54Z","title":"Relativistic Brownian Motion","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0812.1996","snapshot_observed_at":"2026-08-03T07:46:31.348016Z","title":"Dunkel and P","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.348016Z"},"links":{"cited_paper":"/paper/0812.1996","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:27bb9337239e388d529991b439ee74d491b7ebde29419f20eb94c1d0bbaabe38","observation_id":"42e6e054-e0e5-4942-9deb-02f56755a20b","resolution":{"observed_at":"2026-08-03T07:46:31.348016Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2601.03081","last_updated":"2026-07-07T15:35:36Z","snapshot_observed_at":"2026-08-18T12:42:43.068188Z","submitted_at":"2026-01-06T15:12:08Z","title":"How Lorentz boosts reshape relaxation spectra","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2601.03081","snapshot_observed_at":"2026-08-03T07:46:31.367663Z","title":"Gavassino, (2026), arXiv:2601.03081 [gr-qc]","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.367663Z"},"links":{"cited_paper":"/paper/2601.03081","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:3ecb9ba933bbda6ac69cae8546be555e0aa2f4fe7259c3bcefb321657115b84c","observation_id":"a827b755-138e-406d-a7bf-1cb9a28ff677","resolution":{"observed_at":"2026-08-03T07:46:31.367663Z","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":"2026-08-03T07:46:31.386255Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.386255Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:64ce786580f205a27e8ac4fe6f818f4ba6d9c8ce13432f70a92de6dfa975e6a5","observation_id":"026eaf2d-92a9-4657-8718-56890d1d993d","resolution":{"observed_at":"2026-08-03T07:46:31.386255Z","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":"2026-08-03T07:46:31.403798Z","title":"Huang,Statistical Mechanics, 2nd ed","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.403798Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:3909af30163b1a73b0ef3d0d5248c8a95c371359ac9aa1826c5d464c680c0db8","observation_id":"e7c9c218-7883-45a0-93a9-82a9f1cab167","resolution":{"observed_at":"2026-08-03T07:46:31.403798Z","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":"2026-08-03T07:46:31.420719Z","title":"Cercignani and G","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.420719Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:79d0468269421f2861b9a86d3db3494cdc09352525597c049da089c2aba969f1","observation_id":"30981e27-f4eb-4a89-9520-435c82e95737","resolution":{"observed_at":"2026-08-03T07:46:31.420719Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.09142","last_updated":"2021-09-29T08:49:32Z","snapshot_observed_at":"2026-08-16T18:30:37.172971Z","submitted_at":"2021-04-19T09:02:09Z","title":"Applying the Gibbs stability criterion to relativistic hydrodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.09142","snapshot_observed_at":"2026-08-03T07:46:31.442632Z","title":"Gavassino, Classical and Quantum Gravity38, 21LT02 (2021), arXiv:2104.09142 [gr-qc]","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.442632Z"},"links":{"cited_paper":"/paper/2104.09142","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:f8f689fa5a048eb4885a3fa2a42e53b76ad190d9bc345aabbc003d40304c228a","observation_id":"dc52a801-1326-4ae4-a70c-97d52275cfd4","resolution":{"observed_at":"2026-08-03T07:46:31.442632Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.14621","last_updated":"2021-12-16T21:55:40Z","snapshot_observed_at":"2026-08-16T18:21:03.982482Z","submitted_at":"2021-05-30T20:45:36Z","title":"Thermodynamic stability implies causality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.14621","snapshot_observed_at":"2026-08-03T07:46:31.469746Z","title":"Gavassino, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.469746Z"},"links":{"cited_paper":"/paper/2105.14621","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:3d04349550ec0a0cf69f8eac4cabea7a3e26af81a42b0009a576973e97b7e38a","observation_id":"a0709696-c032-465e-8182-a3c705d73174","resolution":{"observed_at":"2026-08-03T07:46:31.469746Z","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":"2026-08-03T07:46:31.485138Z","title":"Gavassino, M","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.485138Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:e5a37c987aa903c4f74beacfe85facf8ccbf9c14dc72b3c3fc3f608e18a0287f","observation_id":"d0e72d06-7630-48fc-b2c9-1c285e858673","resolution":{"observed_at":"2026-08-03T07:46:31.485138Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.07434","last_updated":"2023-01-25T12:48:00Z","snapshot_observed_at":"2026-08-16T16:08:37.285923Z","submitted_at":"2022-12-14T19:00:00Z","title":"Rigorous bounds on transport from causality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.07434","snapshot_observed_at":"2026-08-03T07:46:31.502558Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.502558Z"},"links":{"cited_paper":"/paper/2212.07434","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:c59193a96042a5872c39aeace923653d6c91dc3988ac294be16f118e1d1abeac","observation_id":"7937a453-d188-474f-b3f6-596493b7dcdf","resolution":{"observed_at":"2026-08-03T07:46:31.502558Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.06651","last_updated":"2023-01-28T22:55:41Z","snapshot_observed_at":"2026-08-16T16:02:05.122658Z","submitted_at":"2023-01-17T01:15:54Z","title":"Bounds on transport from hydrodynamic stability","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.06651","snapshot_observed_at":"2026-08-03T07:46:31.516737Z","title":"Gavassino, Phys","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.516737Z"},"links":{"cited_paper":"/paper/2301.06651","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:ca71c26ab6f2f488720b233749ec18a5326800188719d21d7908ec4f6ae16c98","observation_id":"6f54f176-7805-4091-9096-b564abaadbf9","resolution":{"observed_at":"2026-08-03T07:46:31.516737Z","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":"2026-08-03T07:46:31.537800Z","title":"Rauch,Partial Differential Equations, Graduate Texts in Mathematics (Springer New York, 2012)","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.537800Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:25619ad1a54f88a6b805f30a63f8703a499f4d9b3156025be13c8003da8acf7d","observation_id":"9f17345c-924c-4e53-8b2b-ee8be8231e46","resolution":{"observed_at":"2026-08-03T07:46:31.537800Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.05987","last_updated":"2024-04-17T16:19:12Z","snapshot_observed_at":"2026-08-17T00:22:11.240830Z","submitted_at":"2023-07-12T08:04:14Z","title":"Dispersion relations alone cannot guarantee causality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.05987","snapshot_observed_at":"2026-08-03T07:46:31.555377Z","title":"Gavassino, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.555377Z"},"links":{"cited_paper":"/paper/2307.05987","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:13e1b077ea6494f96843fa0fe3ba690dad15d37bb69a94499e2f7b267442c633","observation_id":"d26dc73a-8dd8-41fe-b1e8-c55e0b981227","resolution":{"observed_at":"2026-08-03T07:46:31.555377Z","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":"2026-08-03T07:46:31.580331Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.580331Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:652097f3a057d421342c53325fa88d1f9ffdc651cd2bc23760a806049c2c7743","observation_id":"86213c82-ad6a-48d0-9a3e-27e95301fcba","resolution":{"observed_at":"2026-08-03T07:46:31.580331Z","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":"2026-08-03T07:46:31.599168Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.599168Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:a166f6e3b5473ec36ebfbee66820b49e1a4dcd5ba65b7b2e6756c2b2259f62fc","observation_id":"b0d50755-8342-4b05-8a1a-907f9d229e3e","resolution":{"observed_at":"2026-08-03T07:46:31.599168Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.10016","last_updated":"2019-04-16T18:54:40Z","snapshot_observed_at":"2026-08-19T08:44:45.762823Z","submitted_at":"2018-10-23T18:00:01Z","title":"Holography and hydrodynamics with weakly broken symmetries","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.10016","snapshot_observed_at":"2026-08-03T07:46:31.660621Z","title":"Grozdanov, A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.660621Z"},"links":{"cited_paper":"/paper/1810.10016","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:f645a5d9cac2c59a830b6a7e7e79e7c0850783dbf07ae74111d3b51d99fe588c","observation_id":"b7fb4e96-b8a2-4f5c-bcdc-62a9b5a8d3ae","resolution":{"observed_at":"2026-08-03T07:46:31.660621Z","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":"2026-08-03T07:46:31.727468Z","title":"Baggioli, M","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.727468Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:8ea06b80a8d82301f6b8701fbe0d1b406af142ee548c7d7ea7ebca9afd348aa6","observation_id":"c5330b1d-2079-43e9-a73d-d594c47bb819","resolution":{"observed_at":"2026-08-03T07:46:31.727468Z","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":"2026-08-03T07:46:31.862558Z","title":"Gavassino, M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.862558Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:78925c59fd6b0afd73be103fe3d4ce21ab7dfba28c82d1cf2c72d632ffdb5302","observation_id":"b3ad9cd2-4d0b-423e-8e6b-2c2877804476","resolution":{"observed_at":"2026-08-03T07:46:31.862558Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.04119","last_updated":"2024-05-28T19:59:15Z","snapshot_observed_at":"2026-08-16T15:35:04.387880Z","submitted_at":"2023-05-06T19:05:39Z","title":"Relativistic Bulk Rheology: From Neutron Star Mergers to Viscous Cosmology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.04119","snapshot_observed_at":"2026-08-03T07:46:31.907940Z","title":"Gavassino and J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.907940Z"},"links":{"cited_paper":"/paper/2305.04119","citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:3248e05571dc3cc65b74aef74d0a355815b40241450f25ab81d2f815c437395c","observation_id":"5059d40f-b003-48c5-84a5-e539bb7de661","resolution":{"observed_at":"2026-08-03T07:46:31.907940Z","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":"2026-08-03T07:46:31.969975Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.969975Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:8b21eba761fcb06664db31795d38108bf0beb05900d948d127928b68cd27d96a","observation_id":"11aef906-1e55-405d-be55-adfd1c0dbe2c","resolution":{"observed_at":"2026-08-03T07:46:31.969975Z","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":"2026-08-03T07:46:32.013556Z","title":"Gavassino, (2025), arXiv:2511.14344 [physics.plasm-ph]","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:32.013556Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:1da1a011c034238eacbc624e4cbc8a94da24c633f7c8f8bce324fa9bc51d3d91","observation_id":"3f5d6532-1e3b-4503-9b57-1212428ea955","resolution":{"observed_at":"2026-08-03T07:46:32.013556Z","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":"2026-08-03T07:46:31.142846Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity","version":2},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-03T07:46:31.142846Z"},"links":{"citing_paper":"/paper/2601.19464"},"observation_digest":"sha256:bd3fb5a7c8ea98fc4d893d020e9adb04289789cb73569236b03ce11e285f5613","observation_id":"d50141b4-f042-4df7-82bd-6ed44c7dd0fc","resolution":{"observed_at":"2026-08-03T07:46:31.142846Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2601.19464","last_updated":"2026-07-08T14:34:33Z","latest_version":2,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-17T01:20:11.559023Z","submitted_at":"2026-01-27T10:47:32Z","title":"The diffusion equation is compatible with special relativity"},"reference_resolution":{"displayed":57,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":57,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":57},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 5 inbound Pith citation observations for arXiv:2601.19464."}