{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:D3L6WUKRVRN7RCHIJ56TWAN4WU","short_pith_number":"pith:D3L6WUKR","canonical_record":{"source":{"id":"1706.08384","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-06-26T14:10:07Z","cross_cats_sorted":[],"title_canon_sha256":"1355b964a8e0f357dae3a30dd0e17d43f6b8bcd8573a57639d123050d9a9da97","abstract_canon_sha256":"0a3ffcf1cfcac69715724c58b9e2912f93813bdea5db8ba361eaddee02daace8"},"schema_version":"1.0"},"canonical_sha256":"1ed7eb5151ac5bf888e84f7d3b01bcb5043aace842b9400f75d699cfd6d9ce4d","source":{"kind":"arxiv","id":"1706.08384","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08384","created_at":"2026-05-18T00:16:36Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08384v1","created_at":"2026-05-18T00:16:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08384","created_at":"2026-05-18T00:16:36Z"},{"alias_kind":"pith_short_12","alias_value":"D3L6WUKRVRN7","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"D3L6WUKRVRN7RCHI","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"D3L6WUKR","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:D3L6WUKRVRN7RCHIJ56TWAN4WU","target":"record","payload":{"canonical_record":{"source":{"id":"1706.08384","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-06-26T14:10:07Z","cross_cats_sorted":[],"title_canon_sha256":"1355b964a8e0f357dae3a30dd0e17d43f6b8bcd8573a57639d123050d9a9da97","abstract_canon_sha256":"0a3ffcf1cfcac69715724c58b9e2912f93813bdea5db8ba361eaddee02daace8"},"schema_version":"1.0"},"canonical_sha256":"1ed7eb5151ac5bf888e84f7d3b01bcb5043aace842b9400f75d699cfd6d9ce4d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:36.934415Z","signature_b64":"tT9JcBk00xALdsXQvsaArpuv62Or0ar6sc2gQHpdFcrgt/+hCYrMiJyxDU7l7MxYj2/EeuIR9gXMuYV79YigCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ed7eb5151ac5bf888e84f7d3b01bcb5043aace842b9400f75d699cfd6d9ce4d","last_reissued_at":"2026-05-18T00:16:36.933764Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:36.933764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.08384","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:16:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q2ntOZOxV3Ct6Geh392SDbOy+5Edua8I8eOUhl3vn0U6ILHP6liyZ0T5g492K/QZRhSBgXycV199ilgYClu2Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:16:54.000554Z"},"content_sha256":"ab6a08c965608520a25a5cd6389804e582129bc39da7db2a84ef4316246a5e75","schema_version":"1.0","event_id":"sha256:ab6a08c965608520a25a5cd6389804e582129bc39da7db2a84ef4316246a5e75"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:D3L6WUKRVRN7RCHIJ56TWAN4WU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pryce's mass-center operators and the anomalous velocity of a spinning electron","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Long Huang, Tao Zhou, Xiaohua Wu","submitted_at":"2017-06-26T14:10:07Z","abstract_excerpt":"In the present work, we develop a method to calculate the anomalous velocity of a spinning electron. From Dirac equation, the relationships among the expectation values of the Pryce's mass-center operator, the position operator, the spin operator and the canonical momentum operator are investigated. By requiring that the center of mass for the classical spinning electron is related to the expectation value of the Pryce's mass-center operator, one can obtain a classical expression for the position of the electron. With the classical equations of motion, the anomalous velocity of a spinning elec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08384","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:16:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w+pvd+WvBGs9FAFYEMt/1vvsDZ03W2aq+kquLpE2Ja4uDj/cjjI1qXRRzEdMHff3e63js4+6+HGXjtFnsZqMCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:16:54.001197Z"},"content_sha256":"c525316cd64ef21bf0d76a2d62ac5998aee186d651da55816bd3de197a879534","schema_version":"1.0","event_id":"sha256:c525316cd64ef21bf0d76a2d62ac5998aee186d651da55816bd3de197a879534"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D3L6WUKRVRN7RCHIJ56TWAN4WU/bundle.json","state_url":"https://pith.science/pith/D3L6WUKRVRN7RCHIJ56TWAN4WU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D3L6WUKRVRN7RCHIJ56TWAN4WU/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":"2026-05-31T16:16:54Z","links":{"resolver":"https://pith.science/pith/D3L6WUKRVRN7RCHIJ56TWAN4WU","bundle":"https://pith.science/pith/D3L6WUKRVRN7RCHIJ56TWAN4WU/bundle.json","state":"https://pith.science/pith/D3L6WUKRVRN7RCHIJ56TWAN4WU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D3L6WUKRVRN7RCHIJ56TWAN4WU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:D3L6WUKRVRN7RCHIJ56TWAN4WU","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":"0a3ffcf1cfcac69715724c58b9e2912f93813bdea5db8ba361eaddee02daace8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-06-26T14:10:07Z","title_canon_sha256":"1355b964a8e0f357dae3a30dd0e17d43f6b8bcd8573a57639d123050d9a9da97"},"schema_version":"1.0","source":{"id":"1706.08384","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08384","created_at":"2026-05-18T00:16:36Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08384v1","created_at":"2026-05-18T00:16:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08384","created_at":"2026-05-18T00:16:36Z"},{"alias_kind":"pith_short_12","alias_value":"D3L6WUKRVRN7","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"D3L6WUKRVRN7RCHI","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"D3L6WUKR","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:c525316cd64ef21bf0d76a2d62ac5998aee186d651da55816bd3de197a879534","target":"graph","created_at":"2026-05-18T00:16:36Z","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":"In the present work, we develop a method to calculate the anomalous velocity of a spinning electron. From Dirac equation, the relationships among the expectation values of the Pryce's mass-center operator, the position operator, the spin operator and the canonical momentum operator are investigated. By requiring that the center of mass for the classical spinning electron is related to the expectation value of the Pryce's mass-center operator, one can obtain a classical expression for the position of the electron. With the classical equations of motion, the anomalous velocity of a spinning elec","authors_text":"Long Huang, Tao Zhou, Xiaohua Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-06-26T14:10:07Z","title":"Pryce's mass-center operators and the anomalous velocity of a spinning electron"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08384","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:ab6a08c965608520a25a5cd6389804e582129bc39da7db2a84ef4316246a5e75","target":"record","created_at":"2026-05-18T00:16:36Z","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":"0a3ffcf1cfcac69715724c58b9e2912f93813bdea5db8ba361eaddee02daace8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-06-26T14:10:07Z","title_canon_sha256":"1355b964a8e0f357dae3a30dd0e17d43f6b8bcd8573a57639d123050d9a9da97"},"schema_version":"1.0","source":{"id":"1706.08384","kind":"arxiv","version":1}},"canonical_sha256":"1ed7eb5151ac5bf888e84f7d3b01bcb5043aace842b9400f75d699cfd6d9ce4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ed7eb5151ac5bf888e84f7d3b01bcb5043aace842b9400f75d699cfd6d9ce4d","first_computed_at":"2026-05-18T00:16:36.933764Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:36.933764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tT9JcBk00xALdsXQvsaArpuv62Or0ar6sc2gQHpdFcrgt/+hCYrMiJyxDU7l7MxYj2/EeuIR9gXMuYV79YigCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:36.934415Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.08384","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab6a08c965608520a25a5cd6389804e582129bc39da7db2a84ef4316246a5e75","sha256:c525316cd64ef21bf0d76a2d62ac5998aee186d651da55816bd3de197a879534"],"state_sha256":"947c063640ecd2a543a23eb5e4205d6d68c668c604ff826e994cb5a8eb76b3ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9vxQnhvIjSuBP71djDVRL7EXY4MsUI8sfj9d/aAXOjKLVn4TnIgqvj1Vn+WsUraNJLokIAcxMQupFr1rPh+TDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T16:16:54.004402Z","bundle_sha256":"448a288b13b6d022e05538521c48fa2f380c1778e46066f1f058ce753ce136e8"}}