{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:YICDNWHWMN3OWWS4CBO2SZ4Y5F","short_pith_number":"pith:YICDNWHW","schema_version":"1.0","canonical_sha256":"c20436d8f66376eb5a5c105da96798e97753301e271cbf0c5edefa4663a66134","source":{"kind":"arxiv","id":"1106.1505","version":1},"attestation_state":"computed","paper":{"title":"Electromagnetism with Magnetic Charge and Two Photons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Douglas Singleton","submitted_at":"2011-06-08T06:20:32Z","abstract_excerpt":"The Dirac approach to include magnetic charge in Maxwell's equations places the magnetic charge at the end of a string on which the the fields of the theory develop a singularity. In this paper an alternative formulation of classical electromagnetism with magnetic and electric charge is given by introducing a second pseudo four-vector potential, C_mu, in addition to the usual four- vector potential, A_mu. This avoids the use of singular, non-local variables (i.e. Dirac strings) in electrodynamics with magnetic charge, and it makes the treatment of electric and magentic charge more symmetric, s"},"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":"1106.1505","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-06-08T06:20:32Z","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"title_canon_sha256":"4d0ec5405332a2a4da3cf7a388256438cfa0b4453da4fb8ec63065df0471e5bd","abstract_canon_sha256":"cbbe11de646c9626611f1a9bad811995152ecb41b14ec0d1baf939216566ade9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:40.938961Z","signature_b64":"rbKCnzsm96KaxS3jV6zWaDI/vhce2DxkJikmqYq/d9d+YEaPIUu3VRxNZSWFAmj1rrFX3vgFX51vDybaZpTVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c20436d8f66376eb5a5c105da96798e97753301e271cbf0c5edefa4663a66134","last_reissued_at":"2026-05-18T02:01:40.938568Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:40.938568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Electromagnetism with Magnetic Charge and Two Photons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Douglas Singleton","submitted_at":"2011-06-08T06:20:32Z","abstract_excerpt":"The Dirac approach to include magnetic charge in Maxwell's equations places the magnetic charge at the end of a string on which the the fields of the theory develop a singularity. In this paper an alternative formulation of classical electromagnetism with magnetic and electric charge is given by introducing a second pseudo four-vector potential, C_mu, in addition to the usual four- vector potential, A_mu. This avoids the use of singular, non-local variables (i.e. Dirac strings) in electrodynamics with magnetic charge, and it makes the treatment of electric and magentic charge more symmetric, s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.1505","kind":"arxiv","version":1},"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":"1106.1505","created_at":"2026-05-18T02:01:40.938638+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.1505v1","created_at":"2026-05-18T02:01:40.938638+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.1505","created_at":"2026-05-18T02:01:40.938638+00:00"},{"alias_kind":"pith_short_12","alias_value":"YICDNWHWMN3O","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"YICDNWHWMN3OWWS4","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"YICDNWHW","created_at":"2026-05-18T12:26:47.523578+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.02869","citing_title":"Magnetic Monopoles -- From Dirac to the Large Hadron Collider","ref_index":98,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YICDNWHWMN3OWWS4CBO2SZ4Y5F","json":"https://pith.science/pith/YICDNWHWMN3OWWS4CBO2SZ4Y5F.json","graph_json":"https://pith.science/api/pith-number/YICDNWHWMN3OWWS4CBO2SZ4Y5F/graph.json","events_json":"https://pith.science/api/pith-number/YICDNWHWMN3OWWS4CBO2SZ4Y5F/events.json","paper":"https://pith.science/paper/YICDNWHW"},"agent_actions":{"view_html":"https://pith.science/pith/YICDNWHWMN3OWWS4CBO2SZ4Y5F","download_json":"https://pith.science/pith/YICDNWHWMN3OWWS4CBO2SZ4Y5F.json","view_paper":"https://pith.science/paper/YICDNWHW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.1505&json=true","fetch_graph":"https://pith.science/api/pith-number/YICDNWHWMN3OWWS4CBO2SZ4Y5F/graph.json","fetch_events":"https://pith.science/api/pith-number/YICDNWHWMN3OWWS4CBO2SZ4Y5F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YICDNWHWMN3OWWS4CBO2SZ4Y5F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YICDNWHWMN3OWWS4CBO2SZ4Y5F/action/storage_attestation","attest_author":"https://pith.science/pith/YICDNWHWMN3OWWS4CBO2SZ4Y5F/action/author_attestation","sign_citation":"https://pith.science/pith/YICDNWHWMN3OWWS4CBO2SZ4Y5F/action/citation_signature","submit_replication":"https://pith.science/pith/YICDNWHWMN3OWWS4CBO2SZ4Y5F/action/replication_record"}},"created_at":"2026-05-18T02:01:40.938638+00:00","updated_at":"2026-05-18T02:01:40.938638+00:00"}