{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CLG2IY7PHXDLCXFZAM65RDC5PW","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":"4d238ff5539cda8bd7bdfd5fcb0e0eab4fefae49524348e9e5b6d513fd666b48","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-16T05:28:53Z","title_canon_sha256":"a894a3f1e7efcb61967ae94f88ed2745c57080ebcec31aba1e50670560134b89"},"schema_version":"1.0","source":{"id":"1204.5129","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5129","created_at":"2026-05-18T01:28:21Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5129v5","created_at":"2026-05-18T01:28:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5129","created_at":"2026-05-18T01:28:21Z"},{"alias_kind":"pith_short_12","alias_value":"CLG2IY7PHXDL","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CLG2IY7PHXDLCXFZ","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CLG2IY7P","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:85b64bee6106efe5173220d574263fc8afa1647b3f94ea1fbd83c2de2a1e7b25","target":"graph","created_at":"2026-05-18T01:28:21Z","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":"We review the modern classical electrodynamics problems and present the related main fundamental principles characterizing the electrodynamical vacuum-field structure. We analyze the models of the vacuum field medium and charged point particle dynamics using the developed field theory concepts. There is also described a new approach to the classical Maxwell theory based on the derived and newly interpreted basic equations making use of the vacuum field theory approach. In particular, there are obtained the main classical special relativity theory relations and their new explanations. The well ","authors_text":"Anatolij K. Prykarpatsky, Denis Blackmore, Nikolai N. Bogolubov Jr.","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-16T05:28:53Z","title":"The Lagrangian and Hamiltonian Aspects of the Electrodynamic Vacuum-Field Theory Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5129","kind":"arxiv","version":5},"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":"sha256:6826b8ee884af3b1917df9d492c490060635e124491c46ddcfe28275af425dc8","target":"record","created_at":"2026-05-18T01:28:21Z","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":"4d238ff5539cda8bd7bdfd5fcb0e0eab4fefae49524348e9e5b6d513fd666b48","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-16T05:28:53Z","title_canon_sha256":"a894a3f1e7efcb61967ae94f88ed2745c57080ebcec31aba1e50670560134b89"},"schema_version":"1.0","source":{"id":"1204.5129","kind":"arxiv","version":5}},"canonical_sha256":"12cda463ef3dc6b15cb9033dd88c5d7dbf02a63f9c4f5a46441147ff0e2adeb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12cda463ef3dc6b15cb9033dd88c5d7dbf02a63f9c4f5a46441147ff0e2adeb9","first_computed_at":"2026-05-18T01:28:21.777613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:21.777613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9PlTKMmVq6jHpaV70JOHOd5ULQuWFh2OK9yahI1QIOl1L6bZOzTuUz7FMKrSHgC4J6Ar04U0RqqBF9D7FyDXAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:21.778442Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.5129","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6826b8ee884af3b1917df9d492c490060635e124491c46ddcfe28275af425dc8","sha256:85b64bee6106efe5173220d574263fc8afa1647b3f94ea1fbd83c2de2a1e7b25"],"state_sha256":"1dea07124ad0d5e540cfd4930136faf5d478799811afc6161a2e8d2fb5ef6e16"}