{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:NRUAVEJOE2NDHBSYKCEWOE2OAJ","short_pith_number":"pith:NRUAVEJO","canonical_record":{"source":{"id":"1112.4220","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-19T02:42:02Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"9083a366de0bec2aff8d619c81b38611cba6c1bb7148ace78f3cf5ca6706fb3c","abstract_canon_sha256":"599c404b72fb88fc6460eb1d5e1572bcb96ad43827a0f65e08770e09b533dbdb"},"schema_version":"1.0"},"canonical_sha256":"6c680a912e269a338658508967134e02528d57d47bff7750ee39c0d54b28547c","source":{"kind":"arxiv","id":"1112.4220","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4220","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4220v2","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4220","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"pith_short_12","alias_value":"NRUAVEJOE2ND","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NRUAVEJOE2NDHBSY","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NRUAVEJO","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:NRUAVEJOE2NDHBSYKCEWOE2OAJ","target":"record","payload":{"canonical_record":{"source":{"id":"1112.4220","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-19T02:42:02Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"9083a366de0bec2aff8d619c81b38611cba6c1bb7148ace78f3cf5ca6706fb3c","abstract_canon_sha256":"599c404b72fb88fc6460eb1d5e1572bcb96ad43827a0f65e08770e09b533dbdb"},"schema_version":"1.0"},"canonical_sha256":"6c680a912e269a338658508967134e02528d57d47bff7750ee39c0d54b28547c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:58.339745Z","signature_b64":"1dqa/zCpjsBm5ux08Kf4hZbX8mITQc+5qQjRagsblXPaHlD/jqbApqEulhWlgfDeUuC8c16YwG5lRLigs+24Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c680a912e269a338658508967134e02528d57d47bff7750ee39c0d54b28547c","last_reissued_at":"2026-05-18T03:49:58.339240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:58.339240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.4220","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:49:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NW5YjENGCSALoOknRBeONWNbiSI1B9k9Qf0aDkWaaAuG4mvFQmnnveaidKU1nezlqh9vYUTp/4dO402527NvBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:22:39.359760Z"},"content_sha256":"d2da01742d34d087b9c95d2d62ea819d8cc642d92ef82cd1859bd3e0c88a2ce1","schema_version":"1.0","event_id":"sha256:d2da01742d34d087b9c95d2d62ea819d8cc642d92ef82cd1859bd3e0c88a2ce1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:NRUAVEJOE2NDHBSYKCEWOE2OAJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonequilibrium Spin Magnetization Quantum Transport Equations: Spin and Charge Coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"quant-ph","authors_text":"D. L. Villarin, F. A. Buot, R. A. Loberternos, R. E. S. Otadoy","submitted_at":"2011-12-19T02:42:02Z","abstract_excerpt":"The classical Bloch equations of spin magnetization transport is extended to fully time-dependent and highly-nonlinear nonequilibrium spin magnetization quantum distribution function transport (SMQDFT) equations. The relevant variables are the spinor correlation functions which separate into charge and spin magnetization distributions that becomes highly coupled in SMQDFT equa- tions. The leading terms consist of the Boltzmann kinetic equation with spin-orbit coupling in a magnetic eld together with spin-dependent scattering terms which contribute to the torque. These do not have analogue with"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4220","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:49:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sZXo1mWk/G9kYgrE+aJTaE3qRc4UL+i1g5Add46nNYlMjZnvL+1z3RzSV8Bartja3YysZ2cSutIHeeLKFLQ0Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:22:39.360463Z"},"content_sha256":"e1d6a56f301b5eb87f5575e098e9286add83acbe3d4ecdc51d521737956ce234","schema_version":"1.0","event_id":"sha256:e1d6a56f301b5eb87f5575e098e9286add83acbe3d4ecdc51d521737956ce234"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NRUAVEJOE2NDHBSYKCEWOE2OAJ/bundle.json","state_url":"https://pith.science/pith/NRUAVEJOE2NDHBSYKCEWOE2OAJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NRUAVEJOE2NDHBSYKCEWOE2OAJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T02:22:39Z","links":{"resolver":"https://pith.science/pith/NRUAVEJOE2NDHBSYKCEWOE2OAJ","bundle":"https://pith.science/pith/NRUAVEJOE2NDHBSYKCEWOE2OAJ/bundle.json","state":"https://pith.science/pith/NRUAVEJOE2NDHBSYKCEWOE2OAJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NRUAVEJOE2NDHBSYKCEWOE2OAJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NRUAVEJOE2NDHBSYKCEWOE2OAJ","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":"599c404b72fb88fc6460eb1d5e1572bcb96ad43827a0f65e08770e09b533dbdb","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-19T02:42:02Z","title_canon_sha256":"9083a366de0bec2aff8d619c81b38611cba6c1bb7148ace78f3cf5ca6706fb3c"},"schema_version":"1.0","source":{"id":"1112.4220","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4220","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4220v2","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4220","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"pith_short_12","alias_value":"NRUAVEJOE2ND","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NRUAVEJOE2NDHBSY","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NRUAVEJO","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:e1d6a56f301b5eb87f5575e098e9286add83acbe3d4ecdc51d521737956ce234","target":"graph","created_at":"2026-05-18T03:49:58Z","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 Bloch equations of spin magnetization transport is extended to fully time-dependent and highly-nonlinear nonequilibrium spin magnetization quantum distribution function transport (SMQDFT) equations. The relevant variables are the spinor correlation functions which separate into charge and spin magnetization distributions that becomes highly coupled in SMQDFT equa- tions. The leading terms consist of the Boltzmann kinetic equation with spin-orbit coupling in a magnetic eld together with spin-dependent scattering terms which contribute to the torque. These do not have analogue with","authors_text":"D. L. Villarin, F. A. Buot, R. A. Loberternos, R. E. S. Otadoy","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-19T02:42:02Z","title":"Nonequilibrium Spin Magnetization Quantum Transport Equations: Spin and Charge Coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4220","kind":"arxiv","version":2},"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:d2da01742d34d087b9c95d2d62ea819d8cc642d92ef82cd1859bd3e0c88a2ce1","target":"record","created_at":"2026-05-18T03:49:58Z","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":"599c404b72fb88fc6460eb1d5e1572bcb96ad43827a0f65e08770e09b533dbdb","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-19T02:42:02Z","title_canon_sha256":"9083a366de0bec2aff8d619c81b38611cba6c1bb7148ace78f3cf5ca6706fb3c"},"schema_version":"1.0","source":{"id":"1112.4220","kind":"arxiv","version":2}},"canonical_sha256":"6c680a912e269a338658508967134e02528d57d47bff7750ee39c0d54b28547c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c680a912e269a338658508967134e02528d57d47bff7750ee39c0d54b28547c","first_computed_at":"2026-05-18T03:49:58.339240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:58.339240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1dqa/zCpjsBm5ux08Kf4hZbX8mITQc+5qQjRagsblXPaHlD/jqbApqEulhWlgfDeUuC8c16YwG5lRLigs+24Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:58.339745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.4220","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2da01742d34d087b9c95d2d62ea819d8cc642d92ef82cd1859bd3e0c88a2ce1","sha256:e1d6a56f301b5eb87f5575e098e9286add83acbe3d4ecdc51d521737956ce234"],"state_sha256":"604bfdfc77aa49dde20580e7090bf084a7f7f299852556f51540b53a1b596c8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"324VlDqc1Q1O71OGn3U00G6r9V6Fi2r5/n/MgEw1OGCOZlEOaL5Nf8QhIkf4jjUeMzjmj3NrDQuv4vSVyxdDBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T02:22:39.363823Z","bundle_sha256":"e7ecf16f119040dd8cae7c5a366be19d4abc2e670d1c6a179d18a3773b4f2d4b"}}