{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:O6IGG7GTHGG7UFRJ2YOX5LEMEF","short_pith_number":"pith:O6IGG7GT","schema_version":"1.0","canonical_sha256":"7790637cd3398dfa1629d61d7eac8c214eb2521d37d13a2746fa84d777eec9b8","source":{"kind":"arxiv","id":"1405.5305","version":1},"attestation_state":"computed","paper":{"title":"Higher order mixed moment approximations for the Fokker-Planck equation in one space dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Axel Klar, Florian Schneider, Graham Alldredge, Martin Frank","submitted_at":"2014-05-21T06:21:21Z","abstract_excerpt":"We study mixed-moment models (full zeroth moment, half higher moments) for a Fokker-Planck equation in one space dimension. Mixed-moment minimum-entropy models are known to overcome the zero net-flux problem of full-moment minimum entropy Mn models. Realizability theory for these mixed moments of arbitrary order is derived, as well as a new closure, which we refer to as Kershaw closures. They provide non-negative distribution functions combined with an analytical closure. Numerical tests are performed with standard first-order finite volume schemes and compared with a finite-difference Fokker-"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1405.5305","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-21T06:21:21Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"4623eaa9726ead8d91b5ef968ef411f4609f047672c8a12d74f663c6e554e200","abstract_canon_sha256":"fda1c6406995246950b3f35652faa36405dd59a141e4d65edc3c02bf0c4e670d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:24.532407Z","signature_b64":"gP5COktvsRyhBlB7BUDeLa3Qu2I/8bGF7S1Hi6grkjqQVnNCWgrwhQA1SeeUbb/qaLAd4tSirG4uTDdH6shrCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7790637cd3398dfa1629d61d7eac8c214eb2521d37d13a2746fa84d777eec9b8","last_reissued_at":"2026-05-18T02:51:24.531723Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:24.531723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Higher order mixed moment approximations for the Fokker-Planck equation in one space dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Axel Klar, Florian Schneider, Graham Alldredge, Martin Frank","submitted_at":"2014-05-21T06:21:21Z","abstract_excerpt":"We study mixed-moment models (full zeroth moment, half higher moments) for a Fokker-Planck equation in one space dimension. Mixed-moment minimum-entropy models are known to overcome the zero net-flux problem of full-moment minimum entropy Mn models. Realizability theory for these mixed moments of arbitrary order is derived, as well as a new closure, which we refer to as Kershaw closures. They provide non-negative distribution functions combined with an analytical closure. Numerical tests are performed with standard first-order finite volume schemes and compared with a finite-difference Fokker-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5305","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1405.5305","created_at":"2026-05-18T02:51:24.531819+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.5305v1","created_at":"2026-05-18T02:51:24.531819+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5305","created_at":"2026-05-18T02:51:24.531819+00:00"},{"alias_kind":"pith_short_12","alias_value":"O6IGG7GTHGG7","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"O6IGG7GTHGG7UFRJ","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"O6IGG7GT","created_at":"2026-05-18T12:28:41.024544+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/O6IGG7GTHGG7UFRJ2YOX5LEMEF","json":"https://pith.science/pith/O6IGG7GTHGG7UFRJ2YOX5LEMEF.json","graph_json":"https://pith.science/api/pith-number/O6IGG7GTHGG7UFRJ2YOX5LEMEF/graph.json","events_json":"https://pith.science/api/pith-number/O6IGG7GTHGG7UFRJ2YOX5LEMEF/events.json","paper":"https://pith.science/paper/O6IGG7GT"},"agent_actions":{"view_html":"https://pith.science/pith/O6IGG7GTHGG7UFRJ2YOX5LEMEF","download_json":"https://pith.science/pith/O6IGG7GTHGG7UFRJ2YOX5LEMEF.json","view_paper":"https://pith.science/paper/O6IGG7GT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.5305&json=true","fetch_graph":"https://pith.science/api/pith-number/O6IGG7GTHGG7UFRJ2YOX5LEMEF/graph.json","fetch_events":"https://pith.science/api/pith-number/O6IGG7GTHGG7UFRJ2YOX5LEMEF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O6IGG7GTHGG7UFRJ2YOX5LEMEF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O6IGG7GTHGG7UFRJ2YOX5LEMEF/action/storage_attestation","attest_author":"https://pith.science/pith/O6IGG7GTHGG7UFRJ2YOX5LEMEF/action/author_attestation","sign_citation":"https://pith.science/pith/O6IGG7GTHGG7UFRJ2YOX5LEMEF/action/citation_signature","submit_replication":"https://pith.science/pith/O6IGG7GTHGG7UFRJ2YOX5LEMEF/action/replication_record"}},"created_at":"2026-05-18T02:51:24.531819+00:00","updated_at":"2026-05-18T02:51:24.531819+00:00"}