{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3ZHMITOQBTX3JN3DIC2IWAAQ2S","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":"833f20b800d5884e2567a0594fc0544dc43dba562e6f277121a142c061d0ca18","cross_cats_sorted":["cond-mat.quant-gas","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-04T07:48:27Z","title_canon_sha256":"7b0dde19c5724668a42320e05d9bd146a1c09b0d64820a57588ed08e8b528fe2"},"schema_version":"1.0","source":{"id":"1201.0840","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0840","created_at":"2026-05-18T04:05:16Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0840v1","created_at":"2026-05-18T04:05:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0840","created_at":"2026-05-18T04:05:16Z"},{"alias_kind":"pith_short_12","alias_value":"3ZHMITOQBTX3","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"3ZHMITOQBTX3JN3D","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"3ZHMITOQ","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:4bfc0b1465ca0bbba8d30f5db822dfff444ee0b6d0c0d21c2215a968a6f7636d","target":"graph","created_at":"2026-05-18T04:05:16Z","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 analytically solved. The Kramers problem about isothermal sliding for quantum Fermi gases is considered. Quantum gases with the velocity-dependent collision frequency are considered. 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","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-04T07:48:27Z","title":"The Kramers Problem for Quantum Fermi Gases with Velocity--Dependent Collision Frequency and Diffusive Boundary Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0840","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":"sha256:952a17a20fd2042661f1c44c3d1d9b1d7fb91ea12f4d173646bf30cdea9b82f6","target":"record","created_at":"2026-05-18T04:05:16Z","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":"833f20b800d5884e2567a0594fc0544dc43dba562e6f277121a142c061d0ca18","cross_cats_sorted":["cond-mat.quant-gas","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-04T07:48:27Z","title_canon_sha256":"7b0dde19c5724668a42320e05d9bd146a1c09b0d64820a57588ed08e8b528fe2"},"schema_version":"1.0","source":{"id":"1201.0840","kind":"arxiv","version":1}},"canonical_sha256":"de4ec44dd00cefb4b76340b48b0010d4a073050882d6db29ba464dabd1a7d3b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de4ec44dd00cefb4b76340b48b0010d4a073050882d6db29ba464dabd1a7d3b4","first_computed_at":"2026-05-18T04:05:16.178055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:16.178055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XvD9QwwCoTdjRnMUoqlio0Td5UPayfonONHWUD4UOJmqC1K1zd3HdNeOqc1odMT7KJrHAxMvT0Nx4Y66NywGBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:16.178683Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0840","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:952a17a20fd2042661f1c44c3d1d9b1d7fb91ea12f4d173646bf30cdea9b82f6","sha256:4bfc0b1465ca0bbba8d30f5db822dfff444ee0b6d0c0d21c2215a968a6f7636d"],"state_sha256":"bab0da12953e346a9b6cff037fa2a0da22e1283ae0b7a6c8dd78f4154348ca23"}