{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:YC74OLCDH7QWJ7XUDATQM67VAG","short_pith_number":"pith:YC74OLCD","schema_version":"1.0","canonical_sha256":"c0bfc72c433fe164fef41827067bf50193a51780dd5a9c2a2b42e62d5356ed1a","source":{"kind":"arxiv","id":"2105.02129","version":1},"attestation_state":"computed","paper":{"title":"Wormholes in Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Herman Verlinde","submitted_at":"2021-05-05T15:35:12Z","abstract_excerpt":"We introduce a geometric path integral definition of wormhole partition functions in a general class of 1D quantum systems obtained by quantizing a phase space. We compute the wormhole partition function in a semi-classical limit and in some simple examples. The partition function of the n-fold wormhole is found to be identical to the n-th Renyi entropy of a thermal mixed state of the doubled system. This mixed state incorporates three types of quantum statistical behavior: classically correlated, quantum entangled, and classically uncorrelated. We apply our prescription to 2D CFTs with Viraso"},"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":"2105.02129","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-05-05T15:35:12Z","cross_cats_sorted":[],"title_canon_sha256":"fd13373f401b2a70a72b1b1b86a96a764f630c8a9ed85ff8609c521ba0e181d0","abstract_canon_sha256":"b91927dd7a6c610752c6ec85c168ff453b5d518bfbaafb772af27bd08bc95a10"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:37:52.982427Z","signature_b64":"37GlSryph2XN/vuwHl0MEwG3DaqyjltNbocJIKM/Ld5TgPFjYzzamCe4Ijzg/gRt41Zxi9m9ABoftqVQmc/1Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0bfc72c433fe164fef41827067bf50193a51780dd5a9c2a2b42e62d5356ed1a","last_reissued_at":"2026-07-05T02:37:52.982019Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:37:52.982019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wormholes in Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Herman Verlinde","submitted_at":"2021-05-05T15:35:12Z","abstract_excerpt":"We introduce a geometric path integral definition of wormhole partition functions in a general class of 1D quantum systems obtained by quantizing a phase space. We compute the wormhole partition function in a semi-classical limit and in some simple examples. The partition function of the n-fold wormhole is found to be identical to the n-th Renyi entropy of a thermal mixed state of the doubled system. This mixed state incorporates three types of quantum statistical behavior: classically correlated, quantum entangled, and classically uncorrelated. We apply our prescription to 2D CFTs with Viraso"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.02129","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2105.02129/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2105.02129","created_at":"2026-07-05T02:37:52.982074+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.02129v1","created_at":"2026-07-05T02:37:52.982074+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.02129","created_at":"2026-07-05T02:37:52.982074+00:00"},{"alias_kind":"pith_short_12","alias_value":"YC74OLCDH7QW","created_at":"2026-07-05T02:37:52.982074+00:00"},{"alias_kind":"pith_short_16","alias_value":"YC74OLCDH7QWJ7XU","created_at":"2026-07-05T02:37:52.982074+00:00"},{"alias_kind":"pith_short_8","alias_value":"YC74OLCD","created_at":"2026-07-05T02:37:52.982074+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.25251","citing_title":"Some universalities in the partition functions of low-dimensional gravity models","ref_index":53,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YC74OLCDH7QWJ7XUDATQM67VAG","json":"https://pith.science/pith/YC74OLCDH7QWJ7XUDATQM67VAG.json","graph_json":"https://pith.science/api/pith-number/YC74OLCDH7QWJ7XUDATQM67VAG/graph.json","events_json":"https://pith.science/api/pith-number/YC74OLCDH7QWJ7XUDATQM67VAG/events.json","paper":"https://pith.science/paper/YC74OLCD"},"agent_actions":{"view_html":"https://pith.science/pith/YC74OLCDH7QWJ7XUDATQM67VAG","download_json":"https://pith.science/pith/YC74OLCDH7QWJ7XUDATQM67VAG.json","view_paper":"https://pith.science/paper/YC74OLCD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.02129&json=true","fetch_graph":"https://pith.science/api/pith-number/YC74OLCDH7QWJ7XUDATQM67VAG/graph.json","fetch_events":"https://pith.science/api/pith-number/YC74OLCDH7QWJ7XUDATQM67VAG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YC74OLCDH7QWJ7XUDATQM67VAG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YC74OLCDH7QWJ7XUDATQM67VAG/action/storage_attestation","attest_author":"https://pith.science/pith/YC74OLCDH7QWJ7XUDATQM67VAG/action/author_attestation","sign_citation":"https://pith.science/pith/YC74OLCDH7QWJ7XUDATQM67VAG/action/citation_signature","submit_replication":"https://pith.science/pith/YC74OLCDH7QWJ7XUDATQM67VAG/action/replication_record"}},"created_at":"2026-07-05T02:37:52.982074+00:00","updated_at":"2026-07-05T02:37:52.982074+00:00"}