{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:WSMFBVT2SWDOROJZIRM7YTNEBZ","short_pith_number":"pith:WSMFBVT2","schema_version":"1.0","canonical_sha256":"b49850d67a9586e8b9394459fc4da40e53947da1ce26770276f389913c3b7ba5","source":{"kind":"arxiv","id":"1008.0924","version":1},"attestation_state":"computed","paper":{"title":"A unit vector for characterizing the spin polarization of free electron","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Chun-Fang Li, Yan Wang","submitted_at":"2010-08-05T08:18:22Z","abstract_excerpt":"New degrees of freedom having the form of a unit vector are identified for characterizing the spin polarization of free electron. It is shown that when only the spin is considered, the non-commutativity of the Cartesian components of the Pauli vector allows us to use the azimuthal angle of a second direction, denoted by unit vector $\\mathbf I$, with respect to the quantization direction to characterize the spin polarization. The rotation of $\\mathbf I$ through an angle about the quantization axis leads to a rotation of the spin polarization vector through twice the angle about the same axis. D"},"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":"1008.0924","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-05T08:18:22Z","cross_cats_sorted":[],"title_canon_sha256":"c5936e59bc49bdeae3cb83d0edd9eaa4afa1c44a55d004d09a2dbca9f626b736","abstract_canon_sha256":"8cdb9736d51d4f24060295ca6493899b32502c383c69516f7b90a97c03fe1bb5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:34.969994Z","signature_b64":"4cCV4AxpTqwLMmwaA6lyP/mmIULLRdPNM0UEISgCER1NNn3IH9STO2Qvg0efrEDmi1wWFUip6lxnRE6zlKMEBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b49850d67a9586e8b9394459fc4da40e53947da1ce26770276f389913c3b7ba5","last_reissued_at":"2026-05-18T04:42:34.969278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:34.969278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A unit vector for characterizing the spin polarization of free electron","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Chun-Fang Li, Yan Wang","submitted_at":"2010-08-05T08:18:22Z","abstract_excerpt":"New degrees of freedom having the form of a unit vector are identified for characterizing the spin polarization of free electron. It is shown that when only the spin is considered, the non-commutativity of the Cartesian components of the Pauli vector allows us to use the azimuthal angle of a second direction, denoted by unit vector $\\mathbf I$, with respect to the quantization direction to characterize the spin polarization. The rotation of $\\mathbf I$ through an angle about the quantization axis leads to a rotation of the spin polarization vector through twice the angle about the same axis. D"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0924","kind":"arxiv","version":1},"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":"1008.0924","created_at":"2026-05-18T04:42:34.969407+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.0924v1","created_at":"2026-05-18T04:42:34.969407+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0924","created_at":"2026-05-18T04:42:34.969407+00:00"},{"alias_kind":"pith_short_12","alias_value":"WSMFBVT2SWDO","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"WSMFBVT2SWDOROJZ","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"WSMFBVT2","created_at":"2026-05-18T12:26:17.028572+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/WSMFBVT2SWDOROJZIRM7YTNEBZ","json":"https://pith.science/pith/WSMFBVT2SWDOROJZIRM7YTNEBZ.json","graph_json":"https://pith.science/api/pith-number/WSMFBVT2SWDOROJZIRM7YTNEBZ/graph.json","events_json":"https://pith.science/api/pith-number/WSMFBVT2SWDOROJZIRM7YTNEBZ/events.json","paper":"https://pith.science/paper/WSMFBVT2"},"agent_actions":{"view_html":"https://pith.science/pith/WSMFBVT2SWDOROJZIRM7YTNEBZ","download_json":"https://pith.science/pith/WSMFBVT2SWDOROJZIRM7YTNEBZ.json","view_paper":"https://pith.science/paper/WSMFBVT2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.0924&json=true","fetch_graph":"https://pith.science/api/pith-number/WSMFBVT2SWDOROJZIRM7YTNEBZ/graph.json","fetch_events":"https://pith.science/api/pith-number/WSMFBVT2SWDOROJZIRM7YTNEBZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WSMFBVT2SWDOROJZIRM7YTNEBZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WSMFBVT2SWDOROJZIRM7YTNEBZ/action/storage_attestation","attest_author":"https://pith.science/pith/WSMFBVT2SWDOROJZIRM7YTNEBZ/action/author_attestation","sign_citation":"https://pith.science/pith/WSMFBVT2SWDOROJZIRM7YTNEBZ/action/citation_signature","submit_replication":"https://pith.science/pith/WSMFBVT2SWDOROJZIRM7YTNEBZ/action/replication_record"}},"created_at":"2026-05-18T04:42:34.969407+00:00","updated_at":"2026-05-18T04:42:34.969407+00:00"}