{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:6B6TPUDW4MWAW5EHPEPLGWZRRK","short_pith_number":"pith:6B6TPUDW","schema_version":"1.0","canonical_sha256":"f07d37d076e32c0b7487791eb35b318a8461987177359a3021ba7fb2f7acf52e","source":{"kind":"arxiv","id":"1303.2137","version":1},"attestation_state":"computed","paper":{"title":"On the Aharonov-Bohm Effect and Why Heisenberg Captures Nonlocality Better Than Schr\\\"odinger","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.hist-ph"],"primary_cat":"quant-ph","authors_text":"Yakir Aharonov","submitted_at":"2013-03-08T22:08:19Z","abstract_excerpt":"I discuss in detail the history of the Aharonov-Bohm effect in Bristol and my encounters with Akira Tonomura later on. I then propose an idea that developed following the publication of the Aharonov-Bohm effect, namely the importance of modulo momentum and Heisenberg representation in dealing with non-local quantum phenomena."},"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":"1303.2137","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-08T22:08:19Z","cross_cats_sorted":["physics.hist-ph"],"title_canon_sha256":"2f983c878065cb39a2aa9df7a2bce2db9bb7ea7b6dbf6914b4dd0e41e57ec626","abstract_canon_sha256":"90681a941bb7f7c56ce5e7ea112bc9c128956e6afa6c5aa7c5717179c1da0bed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:19.971219Z","signature_b64":"PBv2/SpDHUvILqdc0CP93SeoG2BWLZHgSl+wN0v9XNlrsEnuKlcuaA3xEsw3XU7kWkExhJZdu78rzT2Qr5AwAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f07d37d076e32c0b7487791eb35b318a8461987177359a3021ba7fb2f7acf52e","last_reissued_at":"2026-05-18T03:31:19.970507Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:19.970507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Aharonov-Bohm Effect and Why Heisenberg Captures Nonlocality Better Than Schr\\\"odinger","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.hist-ph"],"primary_cat":"quant-ph","authors_text":"Yakir Aharonov","submitted_at":"2013-03-08T22:08:19Z","abstract_excerpt":"I discuss in detail the history of the Aharonov-Bohm effect in Bristol and my encounters with Akira Tonomura later on. I then propose an idea that developed following the publication of the Aharonov-Bohm effect, namely the importance of modulo momentum and Heisenberg representation in dealing with non-local quantum phenomena."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2137","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":"1303.2137","created_at":"2026-05-18T03:31:19.970619+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.2137v1","created_at":"2026-05-18T03:31:19.970619+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2137","created_at":"2026-05-18T03:31:19.970619+00:00"},{"alias_kind":"pith_short_12","alias_value":"6B6TPUDW4MWA","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"6B6TPUDW4MWAW5EH","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"6B6TPUDW","created_at":"2026-05-18T12:27:36.564083+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6B6TPUDW4MWAW5EHPEPLGWZRRK","json":"https://pith.science/pith/6B6TPUDW4MWAW5EHPEPLGWZRRK.json","graph_json":"https://pith.science/api/pith-number/6B6TPUDW4MWAW5EHPEPLGWZRRK/graph.json","events_json":"https://pith.science/api/pith-number/6B6TPUDW4MWAW5EHPEPLGWZRRK/events.json","paper":"https://pith.science/paper/6B6TPUDW"},"agent_actions":{"view_html":"https://pith.science/pith/6B6TPUDW4MWAW5EHPEPLGWZRRK","download_json":"https://pith.science/pith/6B6TPUDW4MWAW5EHPEPLGWZRRK.json","view_paper":"https://pith.science/paper/6B6TPUDW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.2137&json=true","fetch_graph":"https://pith.science/api/pith-number/6B6TPUDW4MWAW5EHPEPLGWZRRK/graph.json","fetch_events":"https://pith.science/api/pith-number/6B6TPUDW4MWAW5EHPEPLGWZRRK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6B6TPUDW4MWAW5EHPEPLGWZRRK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6B6TPUDW4MWAW5EHPEPLGWZRRK/action/storage_attestation","attest_author":"https://pith.science/pith/6B6TPUDW4MWAW5EHPEPLGWZRRK/action/author_attestation","sign_citation":"https://pith.science/pith/6B6TPUDW4MWAW5EHPEPLGWZRRK/action/citation_signature","submit_replication":"https://pith.science/pith/6B6TPUDW4MWAW5EHPEPLGWZRRK/action/replication_record"}},"created_at":"2026-05-18T03:31:19.970619+00:00","updated_at":"2026-05-18T03:31:19.970619+00:00"}