{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:6S6MU5RV3LUEIX5PXYBQ4WZWXH","short_pith_number":"pith:6S6MU5RV","schema_version":"1.0","canonical_sha256":"f4bcca7635dae8445fafbe030e5b36b9eb2cdcefd517c090307f2997989c9d2d","source":{"kind":"arxiv","id":"quant-ph/0407047","version":2},"attestation_state":"computed","paper":{"title":"Random Matrix Theory and Entanglement in Quantum Spin Chains","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"F. Mezzadri, J. P. Keating","submitted_at":"2004-07-06T15:02:33Z","abstract_excerpt":"We compute the entropy of entanglement in the ground states of a general class of quantum spin-chain Hamiltonians - those that are related to quadratic forms of Fermi operators - between the first N spins and the rest of the system in the limit of infinite total chain length. We show that the entropy can be expressed in terms of averages over the classical compact groups and establish an explicit correspondence between the symmetries of a given Hamiltonian and those characterizing the Haar measure of the associated group. These averages are either Toeplitz determinants or determinants of combi"},"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":"quant-ph/0407047","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2004-07-06T15:02:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a96fe907b5d45e558a582883ec5cecffa45ed03996cc5f2c10e8d15a601ecb39","abstract_canon_sha256":"39414526525950a3e5f7dc9fe68fa067d30709893fe95db73ee93cbc2d6cac88"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:50:20.580662Z","signature_b64":"PW77dkQbX+WU0VACG6QFb0l4KN+C5zkJAxqkkEB1mvR+ocoN9Tsh91N+CgKCStoDOSELY1z5vkpFyPr+QYoyBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4bcca7635dae8445fafbe030e5b36b9eb2cdcefd517c090307f2997989c9d2d","last_reissued_at":"2026-07-04T16:50:20.580277Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:50:20.580277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Random Matrix Theory and Entanglement in Quantum Spin Chains","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"F. Mezzadri, J. P. Keating","submitted_at":"2004-07-06T15:02:33Z","abstract_excerpt":"We compute the entropy of entanglement in the ground states of a general class of quantum spin-chain Hamiltonians - those that are related to quadratic forms of Fermi operators - between the first N spins and the rest of the system in the limit of infinite total chain length. We show that the entropy can be expressed in terms of averages over the classical compact groups and establish an explicit correspondence between the symmetries of a given Hamiltonian and those characterizing the Haar measure of the associated group. These averages are either Toeplitz determinants or determinants of combi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0407047","kind":"arxiv","version":2},"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/quant-ph/0407047/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":"quant-ph/0407047","created_at":"2026-07-04T16:50:20.580350+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0407047v2","created_at":"2026-07-04T16:50:20.580350+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0407047","created_at":"2026-07-04T16:50:20.580350+00:00"},{"alias_kind":"pith_short_12","alias_value":"6S6MU5RV3LUE","created_at":"2026-07-04T16:50:20.580350+00:00"},{"alias_kind":"pith_short_16","alias_value":"6S6MU5RV3LUEIX5P","created_at":"2026-07-04T16:50:20.580350+00:00"},{"alias_kind":"pith_short_8","alias_value":"6S6MU5RV","created_at":"2026-07-04T16:50:20.580350+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1909.01270","citing_title":"Emptiness formation probability and Painlev\\'e V equation in the XY spin chain","ref_index":60,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6S6MU5RV3LUEIX5PXYBQ4WZWXH","json":"https://pith.science/pith/6S6MU5RV3LUEIX5PXYBQ4WZWXH.json","graph_json":"https://pith.science/api/pith-number/6S6MU5RV3LUEIX5PXYBQ4WZWXH/graph.json","events_json":"https://pith.science/api/pith-number/6S6MU5RV3LUEIX5PXYBQ4WZWXH/events.json","paper":"https://pith.science/paper/6S6MU5RV"},"agent_actions":{"view_html":"https://pith.science/pith/6S6MU5RV3LUEIX5PXYBQ4WZWXH","download_json":"https://pith.science/pith/6S6MU5RV3LUEIX5PXYBQ4WZWXH.json","view_paper":"https://pith.science/paper/6S6MU5RV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0407047&json=true","fetch_graph":"https://pith.science/api/pith-number/6S6MU5RV3LUEIX5PXYBQ4WZWXH/graph.json","fetch_events":"https://pith.science/api/pith-number/6S6MU5RV3LUEIX5PXYBQ4WZWXH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6S6MU5RV3LUEIX5PXYBQ4WZWXH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6S6MU5RV3LUEIX5PXYBQ4WZWXH/action/storage_attestation","attest_author":"https://pith.science/pith/6S6MU5RV3LUEIX5PXYBQ4WZWXH/action/author_attestation","sign_citation":"https://pith.science/pith/6S6MU5RV3LUEIX5PXYBQ4WZWXH/action/citation_signature","submit_replication":"https://pith.science/pith/6S6MU5RV3LUEIX5PXYBQ4WZWXH/action/replication_record"}},"created_at":"2026-07-04T16:50:20.580350+00:00","updated_at":"2026-07-04T16:50:20.580350+00:00"}