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The fact that the $A-B$ effect disappears when the magnetic flux in the solenoid equals an integer times the quantum of flux $\\Phi_0={{2\\pi}\\over{\\vert e\\vert}}$ associated with the electric"},"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":"1801.01411","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-12-30T16:34:37Z","cross_cats_sorted":[],"title_canon_sha256":"a58d4fabdbc5b4ec71b032d9b3b2d8bbe639a2545ba367a2efd25d6ab3aed116","abstract_canon_sha256":"6204e4fd1e4bf6e35e0745c6bc8c93a45831313b13229dc0712eadd0f70083c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:14.118780Z","signature_b64":"xn8CPcUYRRRhTdjjD1rk/WlWWpg7WT1QfSuXXDzWNDlkvMdFU3/01S2qJjwAJZ/6aKnjiq5iSbBZQyK2e7zlBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41618c94996b1b1c817bff3fac81060b03e9fc2e4b7dd54cef9eb1d0d7db8c81","last_reissued_at":"2026-05-18T00:26:14.118282Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:14.118282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Aharonov-Bohm Effect, Dirac Monopole, and Bundle Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Miguel Socolovsky","submitted_at":"2017-12-30T16:34:37Z","abstract_excerpt":"We discuss the Aharonov-Bohm ($A-B$) effect and the Dirac ($D$) monopole of magnetic charge $g={{1}\\over{2}}$ in the context of bundle theory, exhibiting a purely geometric relation between them. 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