{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IFQYZFEZNMNRZAL37472ZAIGBM","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":"6204e4fd1e4bf6e35e0745c6bc8c93a45831313b13229dc0712eadd0f70083c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-12-30T16:34:37Z","title_canon_sha256":"a58d4fabdbc5b4ec71b032d9b3b2d8bbe639a2545ba367a2efd25d6ab3aed116"},"schema_version":"1.0","source":{"id":"1801.01411","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01411","created_at":"2026-05-18T00:26:14Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01411v2","created_at":"2026-05-18T00:26:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01411","created_at":"2026-05-18T00:26:14Z"},{"alias_kind":"pith_short_12","alias_value":"IFQYZFEZNMNR","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IFQYZFEZNMNRZAL3","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IFQYZFEZ","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:6163f2a724ba0d139693c6fbeb7f69482eedddaeaaed986f73619967eb79f653","target":"graph","created_at":"2026-05-18T00:26:14Z","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 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. If $\\xi_{A-B}$ and $\\xi_D$ are the respective $U(1)$-bundles, we show that $\\xi_{A-B}$ is isomorphic to the pull-back of $\\xi_D$ induced by the inclusion of the corresponding base spaces $\\iota:(D_0^2)^*\\to S^2$}. 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","authors_text":"Miguel Socolovsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-12-30T16:34:37Z","title":"Aharonov-Bohm Effect, Dirac Monopole, and Bundle Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01411","kind":"arxiv","version":2},"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":"sha256:7d6fd449cb7216ce9f74340ab6656215def7203b01c05120e80670baa9f0a591","target":"record","created_at":"2026-05-18T00:26:14Z","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":"6204e4fd1e4bf6e35e0745c6bc8c93a45831313b13229dc0712eadd0f70083c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-12-30T16:34:37Z","title_canon_sha256":"a58d4fabdbc5b4ec71b032d9b3b2d8bbe639a2545ba367a2efd25d6ab3aed116"},"schema_version":"1.0","source":{"id":"1801.01411","kind":"arxiv","version":2}},"canonical_sha256":"41618c94996b1b1c817bff3fac81060b03e9fc2e4b7dd54cef9eb1d0d7db8c81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41618c94996b1b1c817bff3fac81060b03e9fc2e4b7dd54cef9eb1d0d7db8c81","first_computed_at":"2026-05-18T00:26:14.118282Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:14.118282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xn8CPcUYRRRhTdjjD1rk/WlWWpg7WT1QfSuXXDzWNDlkvMdFU3/01S2qJjwAJZ/6aKnjiq5iSbBZQyK2e7zlBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:14.118780Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.01411","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d6fd449cb7216ce9f74340ab6656215def7203b01c05120e80670baa9f0a591","sha256:6163f2a724ba0d139693c6fbeb7f69482eedddaeaaed986f73619967eb79f653"],"state_sha256":"fde820550ba968933ad88eee3863a9659e2a05268f4df1539abde6e4c3d14960"}