{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4BWPV2G3GQKWO77AYZ2PEHQYBJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cd17aa1c57193d2a9f30ebfaac219d52863ea007b3c882ef977661333245557e","cross_cats_sorted":["cond-mat.quant-gas","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-05T19:21:38Z","title_canon_sha256":"5dee6d4a19a6a5c6dc14a2f0d8e25ca30c16e383638d03da47decf00d3dcb9a0"},"schema_version":"1.0","source":{"id":"1201.1269","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1269","created_at":"2026-05-18T02:21:25Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1269v1","created_at":"2026-05-18T02:21:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1269","created_at":"2026-05-18T02:21:25Z"},{"alias_kind":"pith_short_12","alias_value":"4BWPV2G3GQKW","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4BWPV2G3GQKWO77A","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4BWPV2G3","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:6a8024a54eff0f4f460c23772735bad90059009d79c0898ebe6922d1b0b3dc84","target":"graph","created_at":"2026-05-18T02:21:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The classical Kramers problem of the kinetic theory is solved. The Kramers problem about isothermal sliding for quantum Fermi gases is considered. Quantum gases with the velocity - dependent collision frequency are considered. Specular - diffusive boundary conditions are applied. Dependence of isothermal sliding on the resulted chemical potential is found out.","authors_text":"A. A. Yushkanov, A. V. Latyshev, A. Yu. Kvashnin","cross_cats":["cond-mat.quant-gas","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-05T19:21:38Z","title":"The Kramers Problem for Quantum Fermi Gases with Velocity - Dependent Collision Frequency and Specular - Diffusive Boundary Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1269","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7f775428212ed998f34ce89e1a21c897d7b81196fc3bd7a2ce967b64d9bb0c7a","target":"record","created_at":"2026-05-18T02:21:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cd17aa1c57193d2a9f30ebfaac219d52863ea007b3c882ef977661333245557e","cross_cats_sorted":["cond-mat.quant-gas","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-05T19:21:38Z","title_canon_sha256":"5dee6d4a19a6a5c6dc14a2f0d8e25ca30c16e383638d03da47decf00d3dcb9a0"},"schema_version":"1.0","source":{"id":"1201.1269","kind":"arxiv","version":1}},"canonical_sha256":"e06cfae8db3415677fe0c674f21e180a485ea190f0be46f028ce992b8aceb8bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e06cfae8db3415677fe0c674f21e180a485ea190f0be46f028ce992b8aceb8bf","first_computed_at":"2026-05-18T02:21:25.815265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:25.815265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OkLKcOUaeQVmXCcoo5ay2Vb49BKfmKzgqxll3mnEcbKnDPTK+kR9iprMUpmFvx28jCZIblMMc15aQwM8X5PDCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:25.815986Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.1269","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f775428212ed998f34ce89e1a21c897d7b81196fc3bd7a2ce967b64d9bb0c7a","sha256:6a8024a54eff0f4f460c23772735bad90059009d79c0898ebe6922d1b0b3dc84"],"state_sha256":"ce3366443a03a07cd98b6429be7b57c17338d76b03f7c7edb0af7e88ee094569"}