{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:7XUKMKFFDYWEIHLJVXROXFUMAA","short_pith_number":"pith:7XUKMKFF","canonical_record":{"source":{"id":"1008.0132","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-07-31T23:18:45Z","cross_cats_sorted":[],"title_canon_sha256":"1fd6708d844389cb177882e5f8a6ac466ef702950a52a39cbe4f1b676a0e4a4c","abstract_canon_sha256":"120a1c7808e196c12b9468fd1f4b931babcc5c47a1c62d0b53063f203bb98316"},"schema_version":"1.0"},"canonical_sha256":"fde8a628a51e2c441d69ade2eb968c0024a9aa985c4866e3518ff5a2604ce00a","source":{"kind":"arxiv","id":"1008.0132","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0132","created_at":"2026-05-18T04:25:28Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0132v2","created_at":"2026-05-18T04:25:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0132","created_at":"2026-05-18T04:25:28Z"},{"alias_kind":"pith_short_12","alias_value":"7XUKMKFFDYWE","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"7XUKMKFFDYWEIHLJ","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"7XUKMKFF","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:7XUKMKFFDYWEIHLJVXROXFUMAA","target":"record","payload":{"canonical_record":{"source":{"id":"1008.0132","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-07-31T23:18:45Z","cross_cats_sorted":[],"title_canon_sha256":"1fd6708d844389cb177882e5f8a6ac466ef702950a52a39cbe4f1b676a0e4a4c","abstract_canon_sha256":"120a1c7808e196c12b9468fd1f4b931babcc5c47a1c62d0b53063f203bb98316"},"schema_version":"1.0"},"canonical_sha256":"fde8a628a51e2c441d69ade2eb968c0024a9aa985c4866e3518ff5a2604ce00a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:25:28.200668Z","signature_b64":"1t6Z9Ryr/wfdEpChtV1xZ8P5skrUrnKQSFQaM6w/6RTzX6Aon0LHmot+wv5+AgUU81TxyVksbM6TlWRMIt45BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fde8a628a51e2c441d69ade2eb968c0024a9aa985c4866e3518ff5a2604ce00a","last_reissued_at":"2026-05-18T04:25:28.199751Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:25:28.199751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.0132","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":"2026-05-18T04:25:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y4l+d+rDif/AzL33PEXhYFrpNjatyO3dz8LAcWFNcHjU/Xj+JKxUWx8ihYexTGaZz6WHPaYX8TfVamtQaE18Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:45:01.802480Z"},"content_sha256":"48d4b2114de2a496cb4bdd33084fe45842e0ca0f04bf348a7d66d632078315c4","schema_version":"1.0","event_id":"sha256:48d4b2114de2a496cb4bdd33084fe45842e0ca0f04bf348a7d66d632078315c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:7XUKMKFFDYWEIHLJVXROXFUMAA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random walk approach to spin dynamics in a two-dimensional electron gas with spin-orbit coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Dung-Hai Lee, J. Orenstein, Luyi Yang","submitted_at":"2010-07-31T23:18:45Z","abstract_excerpt":"We introduce and solve a semi-classical random walk (RW) model that describes the dynamics of spin polarization waves in zinc-blende semiconductor quantum wells. We derive the dispersion relations for these waves, including the Rashba, linear and cubic Dresselhaus spin-orbit interactions, as well as the effects of an electric field applied parallel to the spin polarization wavevector. In agreement with fully quantum mechanical calculations [Kleinert and Bryksin, Phys. Rev. B \\textbf{76}, 205326 (2007)], the RW approach predicts that spin waves acquire a phase velocity in the presence of the fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0132","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":"2026-05-18T04:25:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UTv6o6lXNtlj8SoY/oF6RPOQjnKsJlXrZICvSaDF7kQCSu+MCIiICmM/Y69td9lvGk5R2I2k6HKM8QCrYZD/Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:45:01.803117Z"},"content_sha256":"118fca396149634f5e0b0d3ebd0f92a13e2311f66b83ebf73d4c11a8ba0bce7e","schema_version":"1.0","event_id":"sha256:118fca396149634f5e0b0d3ebd0f92a13e2311f66b83ebf73d4c11a8ba0bce7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7XUKMKFFDYWEIHLJVXROXFUMAA/bundle.json","state_url":"https://pith.science/pith/7XUKMKFFDYWEIHLJVXROXFUMAA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7XUKMKFFDYWEIHLJVXROXFUMAA/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":"2026-06-06T18:45:01Z","links":{"resolver":"https://pith.science/pith/7XUKMKFFDYWEIHLJVXROXFUMAA","bundle":"https://pith.science/pith/7XUKMKFFDYWEIHLJVXROXFUMAA/bundle.json","state":"https://pith.science/pith/7XUKMKFFDYWEIHLJVXROXFUMAA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7XUKMKFFDYWEIHLJVXROXFUMAA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:7XUKMKFFDYWEIHLJVXROXFUMAA","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":"120a1c7808e196c12b9468fd1f4b931babcc5c47a1c62d0b53063f203bb98316","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-07-31T23:18:45Z","title_canon_sha256":"1fd6708d844389cb177882e5f8a6ac466ef702950a52a39cbe4f1b676a0e4a4c"},"schema_version":"1.0","source":{"id":"1008.0132","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0132","created_at":"2026-05-18T04:25:28Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0132v2","created_at":"2026-05-18T04:25:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0132","created_at":"2026-05-18T04:25:28Z"},{"alias_kind":"pith_short_12","alias_value":"7XUKMKFFDYWE","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"7XUKMKFFDYWEIHLJ","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"7XUKMKFF","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:118fca396149634f5e0b0d3ebd0f92a13e2311f66b83ebf73d4c11a8ba0bce7e","target":"graph","created_at":"2026-05-18T04:25:28Z","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":"We introduce and solve a semi-classical random walk (RW) model that describes the dynamics of spin polarization waves in zinc-blende semiconductor quantum wells. We derive the dispersion relations for these waves, including the Rashba, linear and cubic Dresselhaus spin-orbit interactions, as well as the effects of an electric field applied parallel to the spin polarization wavevector. In agreement with fully quantum mechanical calculations [Kleinert and Bryksin, Phys. Rev. B \\textbf{76}, 205326 (2007)], the RW approach predicts that spin waves acquire a phase velocity in the presence of the fi","authors_text":"Dung-Hai Lee, J. Orenstein, Luyi Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-07-31T23:18:45Z","title":"Random walk approach to spin dynamics in a two-dimensional electron gas with spin-orbit coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0132","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":"sha256:48d4b2114de2a496cb4bdd33084fe45842e0ca0f04bf348a7d66d632078315c4","target":"record","created_at":"2026-05-18T04:25:28Z","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":"120a1c7808e196c12b9468fd1f4b931babcc5c47a1c62d0b53063f203bb98316","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-07-31T23:18:45Z","title_canon_sha256":"1fd6708d844389cb177882e5f8a6ac466ef702950a52a39cbe4f1b676a0e4a4c"},"schema_version":"1.0","source":{"id":"1008.0132","kind":"arxiv","version":2}},"canonical_sha256":"fde8a628a51e2c441d69ade2eb968c0024a9aa985c4866e3518ff5a2604ce00a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fde8a628a51e2c441d69ade2eb968c0024a9aa985c4866e3518ff5a2604ce00a","first_computed_at":"2026-05-18T04:25:28.199751Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:28.199751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1t6Z9Ryr/wfdEpChtV1xZ8P5skrUrnKQSFQaM6w/6RTzX6Aon0LHmot+wv5+AgUU81TxyVksbM6TlWRMIt45BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:28.200668Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0132","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48d4b2114de2a496cb4bdd33084fe45842e0ca0f04bf348a7d66d632078315c4","sha256:118fca396149634f5e0b0d3ebd0f92a13e2311f66b83ebf73d4c11a8ba0bce7e"],"state_sha256":"716d974238ca3617b5f5fb80840f155dbef5b5026bc5040a294c948a8aa172ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kPdPwLjbtigpb7zScMvLZLJTKd/Rojh+mCXtvSygNwtND0B733pOfpolkpS/yRKqrOoZd/+XViObuzmCipDeAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:45:01.806031Z","bundle_sha256":"16f34dfa7e3d76634d3216b5b38f947317c9535dd3e52d9206e33ff45d1f089b"}}