{"as_of":"2026-08-11T15:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:08caba57c2398a521479d65729ba516f7120f0df69278ca100c19d45067ef666","coverage":[{"denominator":13,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T23:59:43.034961Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T06:17:02.085226Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2511.03654","snapshot_observed_at":"2026-08-04T06:17:02.085226Z","title":"The momentum distribution of particles in a dilute Fermi gas","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2602.12067","last_updated":"2026-07-31T19:55:23Z","snapshot_observed_at":"2026-08-11T12:44:26.053810Z","submitted_at":"2026-02-12T15:25:40Z","title":"Mesoscopic Observables of the Dilute Fermi Gas at Low Energy","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T06:17:02.085226Z"},"links":{"cited_paper":"/paper/2511.03654","citing_paper":"/paper/2602.12067"},"observation_digest":"sha256:702b4fe9cf62466a39dd55094defe0d8faa6135334f92c1d4fab4306e0958dc9","observation_id":"7b9d5267-3af3-4b01-9b9a-fefd246d35c6","resolution":{"observed_at":"2026-08-04T06:17:02.085226Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2511.03654/citation-record","integrity":"/paper/2511.03654/integrity","json":"/paper/2511.03654/citation-record.json","paper":"/paper/2511.03654"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2310.02706","last_updated":"2025-03-03T20:36:29Z","snapshot_observed_at":"2026-08-10T19:55:29.004973Z","submitted_at":"2023-10-04T10:19:35Z","title":"Momentum Distribution of a Fermi Gas in the Random Phase Approximation","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.02706","snapshot_observed_at":"2026-08-03T23:59:42.050709Z","title":"[BNP+20] Niels Benedikter, Phan Th` anh Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer","venue":null,"work_id":null,"year":2097},"citing_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T23:59:42.050709Z"},"links":{"cited_paper":"/paper/2310.02706","citing_paper":"/paper/2511.03654"},"observation_digest":"sha256:43a52f5e4d808a141dc371d302ea34020f798c80fd83b337a8a794dcf19d4608","observation_id":"b7012962-9681-487f-9932-57324c62b6cc","resolution":{"observed_at":"2026-08-03T23:59:42.050709Z","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":"2026-08-03T23:59:42.184537Z","title":"Daniel and S","venue":null,"work_id":null,"year":2041},"citing_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T23:59:42.184537Z"},"links":{"citing_paper":"/paper/2511.03654"},"observation_digest":"sha256:d9492faecb7b3e228b9afa0a0da93064a4984cb170719fc4423ab94937e65093","observation_id":"49a5e93e-335f-478d-9889-325355514192","resolution":{"observed_at":"2026-08-03T23:59:42.184537Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.14841","last_updated":"2024-09-23T09:19:10Z","snapshot_observed_at":"2026-08-10T11:57:32.573166Z","submitted_at":"2024-09-23T09:19:10Z","title":"Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.14841","snapshot_observed_at":"2026-08-03T23:59:42.236376Z","title":"[GHNS24] Emanuela L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T23:59:42.236376Z"},"links":{"cited_paper":"/paper/2409.14841","citing_paper":"/paper/2511.03654"},"observation_digest":"sha256:b10c96e1546c0d49fc255a223e9f7e2fc4ea210710e84e3f816c399edf383033","observation_id":"e2fe71a0-f581-488e-ab25-fa5a9db1c939","resolution":{"observed_at":"2026-08-03T23:59:42.236376Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17914","last_updated":"2026-02-23T12:31:57Z","snapshot_observed_at":"2026-08-07T09:18:26.578428Z","submitted_at":"2024-09-26T15:00:19Z","title":"The Huang-Yang formula for the low-density Fermi gas: upper bound","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.17914","snapshot_observed_at":"2026-08-03T23:59:42.271333Z","title":"[GHNS25] Emanuela L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T23:59:42.271333Z"},"links":{"cited_paper":"/paper/2409.17914","citing_paper":"/paper/2511.03654"},"observation_digest":"sha256:bfafe5a98e09ca250e3931baa29dad4b401245909350ddba33ede7760c987b42","observation_id":"d7c468cc-cc26-4bef-9e9e-ee69abb26b6a","resolution":{"observed_at":"2026-08-03T23:59:42.271333Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.22340","last_updated":"2025-05-28T13:25:07Z","snapshot_observed_at":"2026-08-10T01:29:03.305681Z","submitted_at":"2025-05-28T13:25:07Z","title":"The Huang-Yang conjecture for the low-density Fermi gas","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.22340","snapshot_observed_at":"2026-08-03T23:59:42.418112Z","title":"[Gia22a] Emanuela L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T23:59:42.418112Z"},"links":{"cited_paper":"/paper/2505.22340","citing_paper":"/paper/2511.03654"},"observation_digest":"sha256:f5d628142b53580a5b06cba52b7b2f78a09a41a47ddc537be7aaba5515c12571","observation_id":"f9fc2933-e3e5-4f86-9f1e-ddc22584120c","resolution":{"observed_at":"2026-08-03T23:59:42.418112Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.11832","last_updated":"2022-12-22T16:12:21Z","snapshot_observed_at":"2026-08-10T11:56:35.418375Z","submitted_at":"2022-12-22T16:12:21Z","title":"An optimal upper bound for the dilute Fermi gas in three dimensions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.11832","snapshot_observed_at":"2026-08-03T23:59:42.614150Z","title":"[Gia24] Emanuela L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T23:59:42.614150Z"},"links":{"cited_paper":"/paper/2212.11832","citing_paper":"/paper/2511.03654"},"observation_digest":"sha256:664e389c77117f788eed9cbc47dbd996302f247e8316979db7a6cf87eb61d8bb","observation_id":"6b5eba59-22c4-4f90-b141-78566c263648","resolution":{"observed_at":"2026-08-03T23:59:42.614150Z","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":"2026-08-03T23:59:42.730047Z","title":"[GS94] Gian Michele Graf and Jan Philip Solovej","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T23:59:42.730047Z"},"links":{"citing_paper":"/paper/2511.03654"},"observation_digest":"sha256:80c36245c31462d215056510b200e146d1baa6913d62e8236cbaf6080703a9ab","observation_id":"86e7b0c7-98d4-4faf-9de3-d68212736f66","resolution":{"observed_at":"2026-08-03T23:59:42.730047Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.17558","last_updated":"2024-02-27T14:57:21Z","snapshot_observed_at":"2026-07-06T17:36:16.016176Z","submitted_at":"2024-02-27T14:57:21Z","title":"Ground state energy of the dilute spin-polarized Fermi gas: Lower bound","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.17558","snapshot_observed_at":"2026-08-03T23:59:42.935728Z","title":"[LS24b] Asbjørn Bækgaard Lauritsen and Robert Seiringer","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T23:59:42.935728Z"},"links":{"cited_paper":"/paper/2402.17558","citing_paper":"/paper/2511.03654"},"observation_digest":"sha256:60f9a59c46de711124171118f2a8c3a5eea8673981856446de0645f6d54b0584","observation_id":"7e551923-7915-4ac3-a1b3-d005ebd405e2","resolution":{"observed_at":"2026-08-03T23:59:42.935728Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.05990","last_updated":"2024-07-08T14:34:44Z","snapshot_observed_at":"2026-08-10T11:56:31.251102Z","submitted_at":"2024-07-08T14:34:44Z","title":"Pressure of a dilute spin-polarized Fermi gas: Upper bound","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.05990","snapshot_observed_at":"2026-08-03T23:59:43.034961Z","title":"[NS81] Heide Narnhofer and Geoffrey L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T23:59:43.034961Z"},"links":{"cited_paper":"/paper/2407.05990","citing_paper":"/paper/2511.03654"},"observation_digest":"sha256:5ad61a96b7f5c3cbc312dd78d91e584af72bb678c54e641489c7d66e553ea4a2","observation_id":"36932481-494f-407b-a55c-f1ae1b41b7e7","resolution":{"observed_at":"2026-08-03T23:59:43.034961Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2003.02926","last_updated":"2021-02-26T14:06:19Z","snapshot_observed_at":"2026-08-10T22:39:13.306325Z","submitted_at":"2020-03-05T21:14:57Z","title":"Strong semiclassical limit from Hartree and Hartree-Fock to Vlasov-Poisson equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.02926","snapshot_observed_at":"2026-08-03T23:59:42.837088Z","title":"Strong semiclassical limit from Hartree and Hartree-Fock to Vlasov-Poisson equation.arXiv:2003.02926 [math-ph, physics:quant-ph], February","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"reference_index":1994,"source":"pdf_text","source_observed_at":"2026-08-03T23:59:42.837088Z"},"links":{"cited_paper":"/paper/2003.02926","citing_paper":"/paper/2511.03654"},"observation_digest":"sha256:da2a2d30f39f95e52f735d342b041511ef81886790cca8bc5575867d4fa9ca79","observation_id":"286f02c4-e765-4747-8a2c-eefd0a5653f2","resolution":{"observed_at":"2026-08-03T23:59:42.837088Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.13618","last_updated":"2022-07-27T16:28:17Z","snapshot_observed_at":"2026-08-10T11:56:34.330924Z","submitted_at":"2022-07-27T16:28:17Z","title":"Bogoliubov theory for the dilute Fermi gas in three dimensions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.13618","snapshot_observed_at":"2026-08-03T23:59:42.521697Z","title":"[Gia22b] Emanuela L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-03T23:59:42.521697Z"},"links":{"cited_paper":"/paper/2207.13618","citing_paper":"/paper/2511.03654"},"observation_digest":"sha256:248caa229c01d799992647f91223563f3b453c224404013f6e65eabb27418fb7","observation_id":"46986444-0961-4e35-a692-bb48f167ae50","resolution":{"observed_at":"2026-08-03T23:59:42.521697Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.01386","last_updated":"2026-05-11T17:26:14Z","snapshot_observed_at":"2026-08-09T04:35:51.336783Z","submitted_at":"2024-05-02T15:29:51Z","title":"The Correlation Energy of the Electron Gas in the Mean-Field Regime","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.01386","snapshot_observed_at":"2026-08-03T23:59:42.131027Z","title":"[CLS24] Jacky J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-03T23:59:42.131027Z"},"links":{"cited_paper":"/paper/2405.01386","citing_paper":"/paper/2511.03654"},"observation_digest":"sha256:b0a9fbacaadd9be2e71f611708493df61e581c8d85a371f1019350f94975083b","observation_id":"e583f011-88e3-42d5-8b33-164a47c0bb28","resolution":{"observed_at":"2026-08-03T23:59:42.131027Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.16001","last_updated":"2025-03-20T10:07:55Z","snapshot_observed_at":"2026-08-07T16:49:35.580724Z","submitted_at":"2025-03-20T10:07:55Z","title":"Derivation of Hartree-Fock Dynamics and Semiclassical Commutator Estimates for Fermions in a Magnetic Field","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.16001","snapshot_observed_at":"2026-08-03T23:59:41.977070Z","title":"[Ben21] Niels Benedikter","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation","version":2},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-03T23:59:41.977070Z"},"links":{"cited_paper":"/paper/2503.16001","citing_paper":"/paper/2511.03654"},"observation_digest":"sha256:4ee268d40d6c76b6338fa1bf30980d7fc57cd15fd4751e03d365cb781cd75351","observation_id":"925956de-2c33-475c-ab56-0c376ac7b297","resolution":{"observed_at":"2026-08-03T23:59:41.977070Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2511.03654","last_updated":"2026-07-30T16:20:56Z","latest_version":2,"primary_category":"math-ph","snapshot_observed_at":"2026-08-10T01:29:34.825162Z","submitted_at":"2025-11-05T17:10:21Z","title":"Momentum Distribution of a Fermi Gas with Coulomb Interaction in the Random Phase Approximation"},"reference_resolution":{"displayed":13,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":13},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2511.03654."}