{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:7ACL7AUMYD6262XJHTTLAA6ZZU","short_pith_number":"pith:7ACL7AUM","schema_version":"1.0","canonical_sha256":"f804bf828cc0fdaf6ae93ce6b003d9cd1eaa8347f0e7d9894ecb379b7094a824","source":{"kind":"arxiv","id":"1607.00406","version":4},"attestation_state":"computed","paper":{"title":"On the analytical formulation of classical electromagnetic fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Mark Robert Baker","submitted_at":"2016-07-01T21:01:17Z","abstract_excerpt":"Three objections to the canonical analytical treatment of covariant electromagnetic theory are presented: (i) only half of Maxwell's equations are present upon variation of the fundamental Lagrangian; (ii) the trace of the canonical energy-momentum tensor is not equivalent to the trace of the observed energy-momentum tensor; (iii) the Belinfante symmetrization procedure exists separate from the analytical approach in order to obtain the known observed result. It is shown that the analytical construction from Noether's theorem is based on manipulations that were developed to obtain the compact "},"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":false},"canonical_record":{"source":{"id":"1607.00406","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2016-07-01T21:01:17Z","cross_cats_sorted":[],"title_canon_sha256":"dc140f5a811bf80415d19738743c8c50f3f9515290518ff35dd5fcdf518dbc0a","abstract_canon_sha256":"3278c52e96d201208d5e5fb2e452c44829964f40ccc15c6bc8f4fb38b8f976ca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:56.537816Z","signature_b64":"2pGGNTFpuiZT7YyO6ZRZkoxx2vbfLeI4m2Raf7554A2+7H9xQDqZ+uJyJ+Osg7xP6UjpaopviTGtEFHPJS+EDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f804bf828cc0fdaf6ae93ce6b003d9cd1eaa8347f0e7d9894ecb379b7094a824","last_reissued_at":"2026-05-18T01:07:56.537271Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:56.537271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the analytical formulation of classical electromagnetic fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Mark Robert Baker","submitted_at":"2016-07-01T21:01:17Z","abstract_excerpt":"Three objections to the canonical analytical treatment of covariant electromagnetic theory are presented: (i) only half of Maxwell's equations are present upon variation of the fundamental Lagrangian; (ii) the trace of the canonical energy-momentum tensor is not equivalent to the trace of the observed energy-momentum tensor; (iii) the Belinfante symmetrization procedure exists separate from the analytical approach in order to obtain the known observed result. It is shown that the analytical construction from Noether's theorem is based on manipulations that were developed to obtain the compact "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00406","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1607.00406","created_at":"2026-05-18T01:07:56.537362+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.00406v4","created_at":"2026-05-18T01:07:56.537362+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00406","created_at":"2026-05-18T01:07:56.537362+00:00"},{"alias_kind":"pith_short_12","alias_value":"7ACL7AUMYD62","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"7ACL7AUMYD6262XJ","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"7ACL7AUM","created_at":"2026-05-18T12:30:04.600751+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.00704","citing_title":"Electromagnetic Classical Field Theory in a Form Independent of Specific Units","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7ACL7AUMYD6262XJHTTLAA6ZZU","json":"https://pith.science/pith/7ACL7AUMYD6262XJHTTLAA6ZZU.json","graph_json":"https://pith.science/api/pith-number/7ACL7AUMYD6262XJHTTLAA6ZZU/graph.json","events_json":"https://pith.science/api/pith-number/7ACL7AUMYD6262XJHTTLAA6ZZU/events.json","paper":"https://pith.science/paper/7ACL7AUM"},"agent_actions":{"view_html":"https://pith.science/pith/7ACL7AUMYD6262XJHTTLAA6ZZU","download_json":"https://pith.science/pith/7ACL7AUMYD6262XJHTTLAA6ZZU.json","view_paper":"https://pith.science/paper/7ACL7AUM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.00406&json=true","fetch_graph":"https://pith.science/api/pith-number/7ACL7AUMYD6262XJHTTLAA6ZZU/graph.json","fetch_events":"https://pith.science/api/pith-number/7ACL7AUMYD6262XJHTTLAA6ZZU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7ACL7AUMYD6262XJHTTLAA6ZZU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7ACL7AUMYD6262XJHTTLAA6ZZU/action/storage_attestation","attest_author":"https://pith.science/pith/7ACL7AUMYD6262XJHTTLAA6ZZU/action/author_attestation","sign_citation":"https://pith.science/pith/7ACL7AUMYD6262XJHTTLAA6ZZU/action/citation_signature","submit_replication":"https://pith.science/pith/7ACL7AUMYD6262XJHTTLAA6ZZU/action/replication_record"}},"created_at":"2026-05-18T01:07:56.537362+00:00","updated_at":"2026-05-18T01:07:56.537362+00:00"}