{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:PLONJQYR47NSKZN6XJJATG2RVT","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":"b4566b2a2469c563b1a22011039d5eda31c26cab6688733c261ce1d224c61ff6","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-06-08T08:29:49Z","title_canon_sha256":"1a6b4f6a4eecace53e3076501ccad327c7a9e631632c2a08959c8d1cdf329000"},"schema_version":"1.0","source":{"id":"0906.1434","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.1434","created_at":"2026-05-18T04:12:18Z"},{"alias_kind":"arxiv_version","alias_value":"0906.1434v1","created_at":"2026-05-18T04:12:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.1434","created_at":"2026-05-18T04:12:18Z"},{"alias_kind":"pith_short_12","alias_value":"PLONJQYR47NS","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"PLONJQYR47NSKZN6","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"PLONJQYR","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:41cf8728163452d7d794d78615246f12ae71579ac55fed3b7792fdcd17689134","target":"graph","created_at":"2026-05-18T04:12:18Z","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":"The Riemann -- Silberstein -- Majorana -- Oppenheimer approach to the Maxwell electrodynamics in vacuum is investigated within the matrix formalism. The matrix form of electrodynamics includes three real 4 \\times 4 matrices. Within the squaring procedure we construct four formal solutions of the Maxwell equations on the base of scalar Klein -- Fock -- Gordon solutions. The problem of separating physical electromagnetic waves in the linear space \\lambda_{0}\\Psi^{0}+\\lambda_{1}\\Psi^{1}+\\lambda_{2}\\Psi^{2}+ lambda_{3}\\Psi^{3} is investigated, several particular cases, plane waves and cylindrical ","authors_text":"E.M. Ovsiyuk, N.G. Tokarevskaya, V.M. Red'kov, V.V. Kisel","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-06-08T08:29:49Z","title":"Maxwell equations in matrix form, squaring procedure, separating the variables, and structure of electromagnetic solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.1434","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":"sha256:2a617f5f09f2a453f98047ed8c077542cdba094a83cb985ab90a495e5c46ff9d","target":"record","created_at":"2026-05-18T04:12:18Z","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":"b4566b2a2469c563b1a22011039d5eda31c26cab6688733c261ce1d224c61ff6","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-06-08T08:29:49Z","title_canon_sha256":"1a6b4f6a4eecace53e3076501ccad327c7a9e631632c2a08959c8d1cdf329000"},"schema_version":"1.0","source":{"id":"0906.1434","kind":"arxiv","version":1}},"canonical_sha256":"7adcd4c311e7db2565beba52099b51acd3b6e4898ed0ffd3ff121377414cffca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7adcd4c311e7db2565beba52099b51acd3b6e4898ed0ffd3ff121377414cffca","first_computed_at":"2026-05-18T04:12:18.879983Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:18.879983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"btz1FSSgnvrwH2cVuLtcHegqLspQHG3ewMKjT7fcqjX1Fq1TNPx9jWl7puLE9Qyf47OtubZeDxtsrW9ooQ2pDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:18.880525Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.1434","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a617f5f09f2a453f98047ed8c077542cdba094a83cb985ab90a495e5c46ff9d","sha256:41cf8728163452d7d794d78615246f12ae71579ac55fed3b7792fdcd17689134"],"state_sha256":"9253829ef0e13d03b6ae0a5369e686480717c90238f036081ffe9962a38908c9"}