{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:HZHRKMV5EMJXC3OXWWNIHBW5GZ","short_pith_number":"pith:HZHRKMV5","schema_version":"1.0","canonical_sha256":"3e4f1532bd2313716dd7b59a8386dd364ca5f0407832ed2bee1bcba56cb6f88f","source":{"kind":"arxiv","id":"1112.6300","version":1},"attestation_state":"computed","paper":{"title":"On the geometry of quantum indistinguishability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"A.F. Reyes-Lega","submitted_at":"2011-12-29T13:07:50Z","abstract_excerpt":"An algebraic approach to the study of quantum mechanics on configuration spaces with a finite fundamental group is presented. It uses, in an essential way, the Gelfand-Naimark and Serre-Swan equivalences and thus allows one to represent geometric properties of such systems in algebraic terms. As an application, the problem of quantum indistinguishability is reformulated in the light of the proposed approach. Previous attempts aiming at a proof of the spin-statistics theorem in non-relativistic quantum mechanics are explicitly recast in the global language inherent to the presented techniques. "},"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":"1112.6300","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-12-29T13:07:50Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"a434e1cc676a987fcd1070fcf173b32878f6d5759c97fc3306a17fbfd5ba4a24","abstract_canon_sha256":"4755637ba3563b1cc30666b1a1789355b5d57ef694de62b3943d5f2dea27d9c1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:36.289963Z","signature_b64":"mGd+0wNjrakXs0E45ujvSoXeHIAlR6QV6aTn36Hd59B3GZ/2JiaWYm3c6aAAFN01ugUMf61AJC4Fd7JU4N8zCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e4f1532bd2313716dd7b59a8386dd364ca5f0407832ed2bee1bcba56cb6f88f","last_reissued_at":"2026-05-18T04:05:36.289469Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:36.289469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the geometry of quantum indistinguishability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"A.F. Reyes-Lega","submitted_at":"2011-12-29T13:07:50Z","abstract_excerpt":"An algebraic approach to the study of quantum mechanics on configuration spaces with a finite fundamental group is presented. It uses, in an essential way, the Gelfand-Naimark and Serre-Swan equivalences and thus allows one to represent geometric properties of such systems in algebraic terms. As an application, the problem of quantum indistinguishability is reformulated in the light of the proposed approach. Previous attempts aiming at a proof of the spin-statistics theorem in non-relativistic quantum mechanics are explicitly recast in the global language inherent to the presented techniques. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6300","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":"1112.6300","created_at":"2026-05-18T04:05:36.289541+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.6300v1","created_at":"2026-05-18T04:05:36.289541+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6300","created_at":"2026-05-18T04:05:36.289541+00:00"},{"alias_kind":"pith_short_12","alias_value":"HZHRKMV5EMJX","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"HZHRKMV5EMJXC3OX","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"HZHRKMV5","created_at":"2026-05-18T12:26:30.835961+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/HZHRKMV5EMJXC3OXWWNIHBW5GZ","json":"https://pith.science/pith/HZHRKMV5EMJXC3OXWWNIHBW5GZ.json","graph_json":"https://pith.science/api/pith-number/HZHRKMV5EMJXC3OXWWNIHBW5GZ/graph.json","events_json":"https://pith.science/api/pith-number/HZHRKMV5EMJXC3OXWWNIHBW5GZ/events.json","paper":"https://pith.science/paper/HZHRKMV5"},"agent_actions":{"view_html":"https://pith.science/pith/HZHRKMV5EMJXC3OXWWNIHBW5GZ","download_json":"https://pith.science/pith/HZHRKMV5EMJXC3OXWWNIHBW5GZ.json","view_paper":"https://pith.science/paper/HZHRKMV5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.6300&json=true","fetch_graph":"https://pith.science/api/pith-number/HZHRKMV5EMJXC3OXWWNIHBW5GZ/graph.json","fetch_events":"https://pith.science/api/pith-number/HZHRKMV5EMJXC3OXWWNIHBW5GZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HZHRKMV5EMJXC3OXWWNIHBW5GZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HZHRKMV5EMJXC3OXWWNIHBW5GZ/action/storage_attestation","attest_author":"https://pith.science/pith/HZHRKMV5EMJXC3OXWWNIHBW5GZ/action/author_attestation","sign_citation":"https://pith.science/pith/HZHRKMV5EMJXC3OXWWNIHBW5GZ/action/citation_signature","submit_replication":"https://pith.science/pith/HZHRKMV5EMJXC3OXWWNIHBW5GZ/action/replication_record"}},"created_at":"2026-05-18T04:05:36.289541+00:00","updated_at":"2026-05-18T04:05:36.289541+00:00"}