{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3S5XTVTSAM2FL35QITHK3XNN4E","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":"b80106480a14fdda6a5e5f9433f1c98f440f11ca5dc4af8ec6348f2582ccc65e","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-31T10:58:04Z","title_canon_sha256":"7650c371fe7632dd88fb128d3969ba065b334e02bed465562b8253302a42a435"},"schema_version":"1.0","source":{"id":"1801.00268","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00268","created_at":"2026-05-17T23:57:03Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00268v3","created_at":"2026-05-17T23:57:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00268","created_at":"2026-05-17T23:57:03Z"},{"alias_kind":"pith_short_12","alias_value":"3S5XTVTSAM2F","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3S5XTVTSAM2FL35Q","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3S5XTVTS","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:50f40ca8c61d3b9be7317697c6bbd81eea181e274a541cfb682c4117bffb18cf","target":"graph","created_at":"2026-05-17T23:57:03Z","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":"It is shown that a Dirac(-type) equation for a rank-two bi-spinor field on Minkowski (configuration) spacetime furnishes a Lorentz-covariant quantum-mechanical wave equation in position-space representation for a single free photon. This equation does not encounter any of the roadblocks that have obstructed previous attempts (by various authors) to formulate a {quantum-mechanical} photon wave equation. In particular, it implies that the photon wave function yields conserved non-negative Born-rule-type quantum probabilities, and that its probability current density four-vector transforms proper","authors_text":"A. Shadi Tahvildar-Zadeh, Michael K.-H. Kiessling","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-31T10:58:04Z","title":"On the Quantum-Mechanics of a Single Photon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00268","kind":"arxiv","version":3},"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":"sha256:0fa98e534d2718ae94a5c6d68098b32b6ea34860af6818061a5d58afc1d29958","target":"record","created_at":"2026-05-17T23:57:03Z","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":"b80106480a14fdda6a5e5f9433f1c98f440f11ca5dc4af8ec6348f2582ccc65e","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-31T10:58:04Z","title_canon_sha256":"7650c371fe7632dd88fb128d3969ba065b334e02bed465562b8253302a42a435"},"schema_version":"1.0","source":{"id":"1801.00268","kind":"arxiv","version":3}},"canonical_sha256":"dcbb79d672033455efb044ceadddade115b8462cbe8a9cb8786318e8498df173","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dcbb79d672033455efb044ceadddade115b8462cbe8a9cb8786318e8498df173","first_computed_at":"2026-05-17T23:57:03.110544Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:03.110544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QcUaZzSW9HyuHoqNErjLEk6oX7x1/8f/jV6m2TuT6VELshm8kBa3reLPAcy4db3zVVYzfmtz+Pco/cO/+aRbBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:03.111286Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.00268","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0fa98e534d2718ae94a5c6d68098b32b6ea34860af6818061a5d58afc1d29958","sha256:50f40ca8c61d3b9be7317697c6bbd81eea181e274a541cfb682c4117bffb18cf"],"state_sha256":"3fe8524fc787f0f08de085303b97b36224ae426494444d1cfd964d357fa89f3a"}