{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:LAIT7A2T3BEHB4HHXFOXRHQQTS","short_pith_number":"pith:LAIT7A2T","schema_version":"1.0","canonical_sha256":"58113f8353d84870f0e7b95d789e109c9bad5f758407d7036b888a32f335f043","source":{"kind":"arxiv","id":"1508.02462","version":2},"attestation_state":"computed","paper":{"title":"The Nonclassical Diffusion Approximation to the Nonclassical Linear Boltzmann Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nucl-th"],"primary_cat":"math-ph","authors_text":"Richard Vasques","submitted_at":"2015-08-11T01:13:14Z","abstract_excerpt":"We show that, by correctly selecting the probability distribution function $p(s)$ for a particle's distance-to-collision, the nonclassical diffusion equation can be represented exactly by the nonclassical linear Boltzmann equation for an infinite homogeneous medium. This choice of $p(s)$ preserves the $true$ mean-squared free path of the system, which sheds new light on the results obtained in previous work."},"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":"1508.02462","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-08-11T01:13:14Z","cross_cats_sorted":["math.MP","nucl-th"],"title_canon_sha256":"5cbae965754ba6dede6ffafd7444d35122f1d209fea794fd8b77f2cf613b9092","abstract_canon_sha256":"1886e96e59b4e6c9da60381032e1cf278ec8258888ce86333888a8b4e3e76893"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:31.625675Z","signature_b64":"wS+/FbiTljd935PS4bCBHVIWA1JeyIFO9k2v/RmfQc7+Sspwj3/ynNxSHNmcZiiJLxGAeKiEjUemKtCIXrGZBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58113f8353d84870f0e7b95d789e109c9bad5f758407d7036b888a32f335f043","last_reissued_at":"2026-05-18T01:21:31.624986Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:31.624986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Nonclassical Diffusion Approximation to the Nonclassical Linear Boltzmann Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nucl-th"],"primary_cat":"math-ph","authors_text":"Richard Vasques","submitted_at":"2015-08-11T01:13:14Z","abstract_excerpt":"We show that, by correctly selecting the probability distribution function $p(s)$ for a particle's distance-to-collision, the nonclassical diffusion equation can be represented exactly by the nonclassical linear Boltzmann equation for an infinite homogeneous medium. This choice of $p(s)$ preserves the $true$ mean-squared free path of the system, which sheds new light on the results obtained in previous work."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02462","kind":"arxiv","version":2},"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":"1508.02462","created_at":"2026-05-18T01:21:31.625099+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.02462v2","created_at":"2026-05-18T01:21:31.625099+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02462","created_at":"2026-05-18T01:21:31.625099+00:00"},{"alias_kind":"pith_short_12","alias_value":"LAIT7A2T3BEH","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"LAIT7A2T3BEHB4HH","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"LAIT7A2T","created_at":"2026-05-18T12:29:29.992203+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/LAIT7A2T3BEHB4HHXFOXRHQQTS","json":"https://pith.science/pith/LAIT7A2T3BEHB4HHXFOXRHQQTS.json","graph_json":"https://pith.science/api/pith-number/LAIT7A2T3BEHB4HHXFOXRHQQTS/graph.json","events_json":"https://pith.science/api/pith-number/LAIT7A2T3BEHB4HHXFOXRHQQTS/events.json","paper":"https://pith.science/paper/LAIT7A2T"},"agent_actions":{"view_html":"https://pith.science/pith/LAIT7A2T3BEHB4HHXFOXRHQQTS","download_json":"https://pith.science/pith/LAIT7A2T3BEHB4HHXFOXRHQQTS.json","view_paper":"https://pith.science/paper/LAIT7A2T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.02462&json=true","fetch_graph":"https://pith.science/api/pith-number/LAIT7A2T3BEHB4HHXFOXRHQQTS/graph.json","fetch_events":"https://pith.science/api/pith-number/LAIT7A2T3BEHB4HHXFOXRHQQTS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LAIT7A2T3BEHB4HHXFOXRHQQTS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LAIT7A2T3BEHB4HHXFOXRHQQTS/action/storage_attestation","attest_author":"https://pith.science/pith/LAIT7A2T3BEHB4HHXFOXRHQQTS/action/author_attestation","sign_citation":"https://pith.science/pith/LAIT7A2T3BEHB4HHXFOXRHQQTS/action/citation_signature","submit_replication":"https://pith.science/pith/LAIT7A2T3BEHB4HHXFOXRHQQTS/action/replication_record"}},"created_at":"2026-05-18T01:21:31.625099+00:00","updated_at":"2026-05-18T01:21:31.625099+00:00"}