{"as_of":"2026-08-18T23:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8f3e34cc34880fdb964fcd0ad732d36ebc6a438d69d59d4b281d79cecbc8316c","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T18:05:13.830345Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.17408/citation-record","integrity":"/paper/2607.17408/integrity","json":"/paper/2607.17408/citation-record.json","paper":"/paper/2607.17408"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:05:11.937514Z","title":"Koopman Methods in Classical and Classical-Quantum Mechanics","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:11.937514Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:8690e957320c5d04b0fa2316e3684736b8dac2cb1ef8a50d982ce5325c8676d1","observation_id":"ac33701d-3376-4793-af70-2b2c41317ace","resolution":{"observed_at":"2026-08-01T18:05:11.937514Z","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":"2026-08-01T18:05:12.036503Z","title":"Hilbert Space Structure in Classical Mechanics. I","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.036503Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:9c8f56e82887547901b226c920375e7dcac18d41e4bcccd369142324266dec59","observation_id":"e6b4671e-3043-4e42-a174-47ba3e5bc53b","resolution":{"observed_at":"2026-08-01T18:05:12.036503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0101124","last_updated":"2001-01-18T18:57:13Z","snapshot_observed_at":"2026-08-03T03:53:25.025778Z","submitted_at":"2001-01-18T18:57:13Z","title":"Supersymmetry in Classical Mechanics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0101124","snapshot_observed_at":"2026-08-01T18:05:12.093328Z","title":"Supersymmetry in Classical Mechanics","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.093328Z"},"links":{"cited_paper":"/paper/hep-th/0101124","citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:440226c5e03216a7a4f2dd90edf47dfa6031340ee4281fdf8d700ef9282bb0fa","observation_id":"cb424094-0242-4018-88a8-2f61612b4a11","resolution":{"observed_at":"2026-08-01T18:05:12.093328Z","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":"10.1063/1.1705047","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Wave Mechanics in Classical Phase Space, Brown- ian Motion, and Quantum Theory","venue":"Journal of Mathematical Physics","work_id":"7007d65c-5516-45f0-90ba-99e7467ed4b4","year":1966},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.142538Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:d32445928c61a3401beacab3f8bb96b1bdd70e85eb9285dd4ae899678c81fd72","observation_id":"a3e2e92d-33c6-46e5-9e65-30c57ce85935","resolution":{"observed_at":"2026-08-01T18:08:28.218146Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9907065","last_updated":"1999-07-09T15:19:16Z","snapshot_observed_at":"2026-08-02T21:46:13.165888Z","submitted_at":"1999-07-09T15:19:16Z","title":"A New Look at the Schouten-Nijenhuis, Fr\\\"olicher-Nijenhuis and Nijenhuis-Richardson Brackets for Symplectic Spaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9907065","snapshot_observed_at":"2026-08-01T18:05:12.200174Z","title":"A New Look at the Schouten-Nijenhuis, Fr\\","venue":null,"work_id":null,"year":1916},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.200174Z"},"links":{"cited_paper":"/paper/hep-th/9907065","citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:ab52007fe8106b46b213c10c80bdbcc918e3eaa82ea680a6a42fb728e5c0acd8","observation_id":"73e8c4d4-3e06-462f-abae-3d300ac0c160","resolution":{"observed_at":"2026-08-01T18:05:12.200174Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0105113","last_updated":"2001-11-14T10:09:24Z","snapshot_observed_at":"2026-08-12T22:57:48.249725Z","submitted_at":"2001-05-23T14:54:44Z","title":"Minimal Coupling in Koopman-von Neumann Theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0105113","snapshot_observed_at":"2026-08-01T18:05:12.255139Z","title":"Minimal Coupling in Koopman–von Neumann Theory","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.255139Z"},"links":{"cited_paper":"/paper/quant-ph/0105113","citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:4fa7d4ac3a9aecd5dde4e22a715d072071925a27f7e36a42702ee212e24eb0bc","observation_id":"3022edd1-1a29-469d-95bc-f4c75cc99e91","resolution":{"observed_at":"2026-08-01T18:05:12.255139Z","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":"2026-08-01T18:05:12.341963Z","title":"On the Imbedding of Normed Rings into the Ring of Operators on a Hilbert Space","venue":null,"work_id":null,"year":1943},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.341963Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:e1faec1dd8eb7cccc3cfcc6b5b5c82fe6bf13240b62bebdf5898397a87281c33","observation_id":"0d66d047-785f-4e8b-8155-cfcb67c45902","resolution":{"observed_at":"2026-08-01T18:05:12.341963Z","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":"10.1016/0370-2693(88)90611-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Hidden BRS Invariance in Classical Mechanics","venue":"Physics Letters B","work_id":"da98295e-7085-4d95-81db-f3aef607f651","year":1988},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.399100Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:b29aa45a9fff84de506c0cd84533fdddefb3bd0a4ed643db4756b7948c0892eb","observation_id":"ef14dc16-9eef-477e-a592-069c301f5705","resolution":{"observed_at":"2026-08-01T18:08:28.106343Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevd.40","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:08:27.883185Z","title":"Hidden BRS Invariance in Classical Mechan- ics. II","venue":null,"work_id":"db9dc995-7268-4beb-baae-bf32571c4c15","year":1989},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.462345Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:850cd0a2587d2a69b755f71c4d44759517831d68157064aa6c178959aad06d8b","observation_id":"3d5d0625-8cfc-4046-ab1e-b87c62eb3f99","resolution":{"observed_at":"2026-08-01T18:08:27.965395Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:05:12.514422Z","title":"Über quantentheoretische Umdeutung kinematischer und mechanis- cher Beziehungen","venue":null,"work_id":null,"year":1925},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.514422Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:02de168fd4e8fef29c576427e799e978aa9f67ea60c20d549d06a2600d602850","observation_id":"0b4b6b5d-fd3d-421b-948c-490ac6658fee","resolution":{"observed_at":"2026-08-01T18:05:12.514422Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/revmodphys.33.515","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lie Group Dynamical Formalism and the Relation between Quantum Mechanics and Classical Mechanics","venue":"Reviews of Modern Physics","work_id":"6098e982-c40f-4be1-b5b2-e23e27b574fb","year":1961},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.572832Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:0c5a14df5bbdc1a5785689e7f899c7d0054e915ce53d67abebd3dea7fa11a7f7","observation_id":"b2c20881-d8a4-40a5-8ae1-877762f3d969","resolution":{"observed_at":"2026-08-01T18:08:27.859871Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:05:12.644337Z","title":"Hamiltonian Systems and Transformations in Hilbert Space","venue":null,"work_id":null,"year":1931},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.644337Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:3616bf461c7c2a5105b549d04aff696ade5931607c97edab6ae09b1c2ff2a026","observation_id":"52c6f6a7-639f-4c87-8d09-d433bcef25ae","resolution":{"observed_at":"2026-08-01T18:05:12.644337Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0003-4916(62)90119-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Galilei Group and Liouville Equation","venue":"Annals of Physics","work_id":"1ba13957-2b08-4619-ad45-41dc143016de","year":1962},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.708493Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:06be50af7613041f0b69fe5078090dcc937bae16a95f6554d08ebf51313ee36c","observation_id":"b7c2bc54-51f2-40b4-aa8f-176961e1da1c","resolution":{"observed_at":"2026-08-01T18:08:27.756029Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0105112","last_updated":"2001-05-23T13:36:28Z","snapshot_observed_at":"2026-07-07T07:06:00.302233Z","submitted_at":"2001-05-23T13:36:28Z","title":"On Koopman-von Neumann Waves","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0105112","snapshot_observed_at":"2026-08-01T18:05:12.780541Z","title":"On Koopman–von Neumann Waves","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.780541Z"},"links":{"cited_paper":"/paper/quant-ph/0105112","citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:08c6510b90f24e56cba9838d6993c4a79d3350b74ffc5c637d1a679ef5b346e6","observation_id":"34775ffc-05d5-42eb-8704-7d674535b227","resolution":{"observed_at":"2026-08-01T18:05:12.780541Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0305063","last_updated":"2003-05-12T11:46:08Z","snapshot_observed_at":"2026-07-07T07:12:30.754382Z","submitted_at":"2003-05-12T11:46:08Z","title":"A New Quantization Map","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0305063","snapshot_observed_at":"2026-08-01T18:05:12.866347Z","title":"A New Quantization Map","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.866347Z"},"links":{"cited_paper":"/paper/quant-ph/0305063","citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:b30c6e7cd812ff87856b5c974bc66549179e27f3f3c96a009a06c3ac2ae3de84","observation_id":"535bc8ee-1cf2-4ce0-a551-e7363a0df283","resolution":{"observed_at":"2026-08-01T18:05:12.866347Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0301172","last_updated":"2003-01-30T17:10:15Z","snapshot_observed_at":"2026-08-10T17:53:12.967269Z","submitted_at":"2003-01-30T17:10:15Z","title":"Topics in Koopman-von Neumann Theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0301172","snapshot_observed_at":"2026-08-01T18:05:12.980462Z","title":"Mauro.Topics in Koopman-von Neumann Theory","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:12.980462Z"},"links":{"cited_paper":"/paper/quant-ph/0301172","citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:046ffe4543d3efba3f766d830e25abe4f87ff8f740621acafb9ee20c1846aa5a","observation_id":"7af90264-7bbf-4ba4-ad18-df0054363c81","resolution":{"observed_at":"2026-08-01T18:05:12.980462Z","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":"2026-08-01T18:05:13.122410Z","title":"An Undulatory Theory of the Mechanics of Atoms and Molecules","venue":null,"work_id":null,"year":1926},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:13.122410Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:3bab6760e3bd774921679e1114ae4885624584eea36296dff7258d5fe959fd9b","observation_id":"9a89885a-ed05-4658-b991-38847deeedf5","resolution":{"observed_at":"2026-08-01T18:05:13.122410Z","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":"10.1007/bf02782925","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Application of Second Quantization Methods to the Classical Statistical Mechanics","venue":"Il Nuovo Cimento","work_id":"619397d8-1631-49b9-b9e4-b7fa67696067","year":1952},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:13.264570Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:0dd4ef01146bf9895023f4cb35a2ef6439835ac2d148a55f3f65d963bace321a","observation_id":"068adb31-8413-4355-bfe6-6b9f2bd27cec","resolution":{"observed_at":"2026-08-01T18:08:27.574016Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:05:13.414993Z","title":"Application of Second Quantization Methods to the Classical Statis- tical Mechanics (II)","venue":null,"work_id":null,"year":1953},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:13.414993Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:b3d99772a64b50727ad9a4317d77de8f92f36716125888a43269034b871a21f1","observation_id":"1ac35e2f-830d-441c-aa1e-ca0c2aa3afc6","resolution":{"observed_at":"2026-08-01T18:05:13.414993Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-01T18:05:13.532104Z","title":"Irreducible Representations of Operator Algebras","venue":null,"work_id":null,"year":1947},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:13.532104Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:06cc844866e4bb2afd0f8d56353fa5b9c9a0a7a30965849b60bedb0da75e4e23","observation_id":"c030216d-f1cb-4ae9-a495-7079ab04a1ab","resolution":{"observed_at":"2026-08-01T18:05:13.532104Z","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":"10.1103/physrevd.18.4580","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Interaction Between Classical and Quantum Sys- tems: A New Approach to Quantum Measurement. I","venue":"Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields","work_id":"8e99971b-05e1-46e4-b7bc-96e779c77aeb","year":1978},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:13.610753Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:15943bbb58a926131b117701b35dd1e33fb93a71ebffa10c9fe99821aa84aee4","observation_id":"0532af1f-2378-4d67-869b-c9f341173339","resolution":{"observed_at":"2026-08-01T18:08:27.464840Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:05:13.671871Z","title":"Interaction between Classical and Quantum Systems and the Measurement of Quantum Observables","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:13.671871Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:1c62f5d0843f64606dce1be0154fcaa1f89a15b9fa40b1e34a87f251f1f8a9c2","observation_id":"70cca5c6-d4f7-46ee-8e32-93cdd96884d9","resolution":{"observed_at":"2026-08-01T18:05:13.671871Z","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":"2026-08-01T18:05:13.722018Z","title":"Zur Operatorenmethode In Der Klassischen Mechanik","venue":null,"work_id":null,"year":1932},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:13.722018Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:56710f1d565f14b866fe1e8feae163b19fbfe7daf1b830385ce4c9d8041fa31c","observation_id":"71607fe6-e5fe-4961-bf70-d05e5bb43091","resolution":{"observed_at":"2026-08-01T18:05:13.722018Z","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":"10.2307/1968225","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zusatze Zur Arbeit ‘Zur Operatorenmethode...’","venue":"Annals of Mathematics","work_id":"81b785bd-3542-4b58-aee4-55bdb9600ecc","year":1932},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:13.776264Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:b8e03d3fcd73389a1eeda4c5f84864713cf15f3f87e4486c1413f354c11faf34","observation_id":"168efa4e-5973-413c-a07b-ccb0689d2637","resolution":{"observed_at":"2026-08-01T18:08:27.359520Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:05:13.830345Z","title":"Koopman–von Neumann Classical Mechanics","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:13.830345Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:4c987a2543b6ac440354e7a9b58f028899dbd0ea566f07b4137f72f90374323d","observation_id":"b0c38792-f851-41d1-b88c-c977a8e0fcca","resolution":{"observed_at":"2026-08-01T18:05:13.830345Z","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":"2026-08-01T18:05:11.976131Z","title":"[2]Koopman Methods in Classical and Quantum-Classical Mechanics, Volume 55, Bristol, UK, July 2022","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-01T18:05:11.976131Z"},"links":{"citing_paper":"/paper/2607.17408"},"observation_digest":"sha256:f2cd9525acc36d629632fa7ba54ae42015093348e005083708ae3ca0256e7234","observation_id":"dde2dcd1-363c-4e2c-a10d-59bc77e5d18f","resolution":{"observed_at":"2026-08-01T18:05:11.976131Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.17408","last_updated":"2026-07-19T20:59:32Z","latest_version":1,"primary_category":"physics.hist-ph","snapshot_observed_at":"2026-08-05T14:57:39.830077Z","submitted_at":"2026-07-19T20:59:32Z","title":"The History of Hilbert-Space Formulations of Classical Physics"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":4,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":8,"verified_fuzzy":0},"total_outbound_references":26},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.17408."}