{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:UWNPDWCUICFPBLTBFAKUNL2OBO","short_pith_number":"pith:UWNPDWCU","schema_version":"1.0","canonical_sha256":"a59af1d854408af0ae61281546af4e0b898dfe15256cb4c8d5acd06754fc4813","source":{"kind":"arxiv","id":"2602.15907","version":3},"attestation_state":"computed","paper":{"title":"On the possibility of differential-algebraic elimination of the spinor field from the Maxwell--Dirac electrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Spinor components are uniquely fixed by the electromagnetic field and its derivatives in the Maxwell-Dirac system.","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andrey Akhmeteli","submitted_at":"2026-02-16T10:58:28Z","abstract_excerpt":"We investigate whether the spinor field can be differential-algebraically eliminated from the Maxwell--Dirac equations in a particular gauge. To this end, we construct a generic truncated power-series solution and linearize the prolonged system of the Maxwell--Dirac equations about this solution. We then analyze the ranks of the coefficient matrices associated with the linearized system. Our results indicate that, generically, the spinor components are uniquely determined by the electromagnetic field and its derivatives. Furthermore, the fourth-order time derivatives of the components of the e"},"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":true},"canonical_record":{"source":{"id":"2602.15907","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-02-16T10:58:28Z","cross_cats_sorted":[],"title_canon_sha256":"c8806273b48989ca19efcb767e61f29ba2bcb10285aed16bbe33118cba6ddc28","abstract_canon_sha256":"ba0c0401738c05dbc0d708f9b35fd08071af8ec0c0bd1b3a6a38884bd1f9aded"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T02:07:21.571074Z","signature_b64":"SbijysP7qNc7wB4FkbgsNLiOt6VEmMJDLYW0G7cHrWWHPMjAhKDloaXf1Be0K8PSH81S+UlxnTpT2NGWThVaBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a59af1d854408af0ae61281546af4e0b898dfe15256cb4c8d5acd06754fc4813","last_reissued_at":"2026-06-09T02:07:21.570075Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T02:07:21.570075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the possibility of differential-algebraic elimination of the spinor field from the Maxwell--Dirac electrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Spinor components are uniquely fixed by the electromagnetic field and its derivatives in the Maxwell-Dirac system.","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andrey Akhmeteli","submitted_at":"2026-02-16T10:58:28Z","abstract_excerpt":"We investigate whether the spinor field can be differential-algebraically eliminated from the Maxwell--Dirac equations in a particular gauge. To this end, we construct a generic truncated power-series solution and linearize the prolonged system of the Maxwell--Dirac equations about this solution. We then analyze the ranks of the coefficient matrices associated with the linearized system. Our results indicate that, generically, the spinor components are uniquely determined by the electromagnetic field and its derivatives. Furthermore, the fourth-order time derivatives of the components of the e"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Our results indicate that, generically, the spinor components are uniquely determined by the electromagnetic field and its derivatives. Furthermore, the fourth-order time derivatives of the components of the electromagnetic four-potential are uniquely determined by derivatives of the lower order with respect to time. These findings strongly suggest that the spinor field can be differential-algebraically eliminated.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The truncated power-series solution is assumed to be sufficiently generic that the matrix-rank conclusions apply to physically relevant solutions; the analysis may fail for special or singular cases not captured by the truncation.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Generically the spinor components are uniquely determined by the electromagnetic field and derivatives, allowing fourth-order time derivatives of the EM four-potential to be fixed by lower-order ones and enabling a Cauchy problem in EM variables alone.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Spinor components are uniquely fixed by the electromagnetic field and its derivatives in the Maxwell-Dirac system.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"069dbf39daf23a4a32564587cffe3cb12718f8bbb1842fb33d8e9cf90e4c2be0"},"source":{"id":"2602.15907","kind":"arxiv","version":3},"verdict":{"id":"3d2e3d9f-e834-4e3f-8331-8393169aa2cd","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T22:08:53.748345Z","strongest_claim":"Our results indicate that, generically, the spinor components are uniquely determined by the electromagnetic field and its derivatives. Furthermore, the fourth-order time derivatives of the components of the electromagnetic four-potential are uniquely determined by derivatives of the lower order with respect to time. These findings strongly suggest that the spinor field can be differential-algebraically eliminated.","one_line_summary":"Generically the spinor components are uniquely determined by the electromagnetic field and derivatives, allowing fourth-order time derivatives of the EM four-potential to be fixed by lower-order ones and enabling a Cauchy problem in EM variables alone.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The truncated power-series solution is assumed to be sufficiently generic that the matrix-rank conclusions apply to physically relevant solutions; the analysis may fail for special or singular cases not captured by the truncation.","pith_extraction_headline":"Spinor components are uniquely fixed by the electromagnetic field and its derivatives in the Maxwell-Dirac system."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2602.15907/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"f27a2510a2d62de90e66e086c9f76a0b2ce7e189b6719c774a0c1ab639510314"},"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":"2602.15907","created_at":"2026-06-09T02:07:21.570207+00:00"},{"alias_kind":"arxiv_version","alias_value":"2602.15907v3","created_at":"2026-06-09T02:07:21.570207+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.15907","created_at":"2026-06-09T02:07:21.570207+00:00"},{"alias_kind":"pith_short_12","alias_value":"UWNPDWCUICFP","created_at":"2026-06-09T02:07:21.570207+00:00"},{"alias_kind":"pith_short_16","alias_value":"UWNPDWCUICFPBLTB","created_at":"2026-06-09T02:07:21.570207+00:00"},{"alias_kind":"pith_short_8","alias_value":"UWNPDWCU","created_at":"2026-06-09T02:07:21.570207+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":2,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UWNPDWCUICFPBLTBFAKUNL2OBO","json":"https://pith.science/pith/UWNPDWCUICFPBLTBFAKUNL2OBO.json","graph_json":"https://pith.science/api/pith-number/UWNPDWCUICFPBLTBFAKUNL2OBO/graph.json","events_json":"https://pith.science/api/pith-number/UWNPDWCUICFPBLTBFAKUNL2OBO/events.json","paper":"https://pith.science/paper/UWNPDWCU"},"agent_actions":{"view_html":"https://pith.science/pith/UWNPDWCUICFPBLTBFAKUNL2OBO","download_json":"https://pith.science/pith/UWNPDWCUICFPBLTBFAKUNL2OBO.json","view_paper":"https://pith.science/paper/UWNPDWCU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2602.15907&json=true","fetch_graph":"https://pith.science/api/pith-number/UWNPDWCUICFPBLTBFAKUNL2OBO/graph.json","fetch_events":"https://pith.science/api/pith-number/UWNPDWCUICFPBLTBFAKUNL2OBO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UWNPDWCUICFPBLTBFAKUNL2OBO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UWNPDWCUICFPBLTBFAKUNL2OBO/action/storage_attestation","attest_author":"https://pith.science/pith/UWNPDWCUICFPBLTBFAKUNL2OBO/action/author_attestation","sign_citation":"https://pith.science/pith/UWNPDWCUICFPBLTBFAKUNL2OBO/action/citation_signature","submit_replication":"https://pith.science/pith/UWNPDWCUICFPBLTBFAKUNL2OBO/action/replication_record"}},"created_at":"2026-06-09T02:07:21.570207+00:00","updated_at":"2026-06-09T02:07:21.570207+00:00"}