{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1992:7PRX2KU5NNTIKBO7KK54CHXEED","short_pith_number":"pith:7PRX2KU5","schema_version":"1.0","canonical_sha256":"fbe37d2a9d6b668505df52bbc11ee420eef5dbcec192cec0c28f2918f372abf1","source":{"kind":"arxiv","id":"cond-mat/9211004","version":1},"attestation_state":"computed","paper":{"title":"Level repulsion in integrable and almost-integrable quantum spin models","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"J.C. Angles d'Auriac, Theodore C. Hsu","submitted_at":"1992-11-04T04:49:51Z","abstract_excerpt":"The repartition of the separation between energy levels of various isotropic S=1/2 antiferromagnetic chains is studied numerically with the aim of investigating the transition from integrable to non-integrable systems. We begin by displaying the level separation distribution of the integrable Bethe chain. Then two non-integrable systems, two coupled chains and a next-nearest-neighbor coupled chain, are studied as a function of the coupling. We examine how the level spacing evolves from the Poisson distribution to the GOE distribution. Finally we consider the Haldane-Shastry $1/r^{2}$ model. A "},"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":"cond-mat/9211004","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1992-11-04T04:49:51Z","cross_cats_sorted":[],"title_canon_sha256":"c36ca7fec2fcec5114bb29adec39993c2c8832caf88fdfe331c503dd2042005e","abstract_canon_sha256":"c3d807a085145ac2ca98887d44afd78037ab89880b4314eaff0b9a8336715966"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:54:49.677594Z","signature_b64":"qkGOOQ+mZa17IkDUUzz39kjqnq2U9fihP3Lzg2w4u/EdpnTaM4KuhKw4SNVTU2tq8gmeRIUNey/knK33sJe6DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbe37d2a9d6b668505df52bbc11ee420eef5dbcec192cec0c28f2918f372abf1","last_reissued_at":"2026-07-04T15:54:49.677112Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:54:49.677112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Level repulsion in integrable and almost-integrable quantum spin models","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"J.C. Angles d'Auriac, Theodore C. Hsu","submitted_at":"1992-11-04T04:49:51Z","abstract_excerpt":"The repartition of the separation between energy levels of various isotropic S=1/2 antiferromagnetic chains is studied numerically with the aim of investigating the transition from integrable to non-integrable systems. We begin by displaying the level separation distribution of the integrable Bethe chain. Then two non-integrable systems, two coupled chains and a next-nearest-neighbor coupled chain, are studied as a function of the coupling. We examine how the level spacing evolves from the Poisson distribution to the GOE distribution. Finally we consider the Haldane-Shastry $1/r^{2}$ model. A "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9211004","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/cond-mat/9211004/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":"cond-mat/9211004","created_at":"2026-07-04T15:54:49.677194+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9211004v1","created_at":"2026-07-04T15:54:49.677194+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9211004","created_at":"2026-07-04T15:54:49.677194+00:00"},{"alias_kind":"pith_short_12","alias_value":"7PRX2KU5NNTI","created_at":"2026-07-04T15:54:49.677194+00:00"},{"alias_kind":"pith_short_16","alias_value":"7PRX2KU5NNTIKBO7","created_at":"2026-07-04T15:54:49.677194+00:00"},{"alias_kind":"pith_short_8","alias_value":"7PRX2KU5","created_at":"2026-07-04T15:54:49.677194+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.16525","citing_title":"Extreme value statistics and eigenstate thermalization in kicked quantum chaotic spin-$1/2$ chains","ref_index":9,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7PRX2KU5NNTIKBO7KK54CHXEED","json":"https://pith.science/pith/7PRX2KU5NNTIKBO7KK54CHXEED.json","graph_json":"https://pith.science/api/pith-number/7PRX2KU5NNTIKBO7KK54CHXEED/graph.json","events_json":"https://pith.science/api/pith-number/7PRX2KU5NNTIKBO7KK54CHXEED/events.json","paper":"https://pith.science/paper/7PRX2KU5"},"agent_actions":{"view_html":"https://pith.science/pith/7PRX2KU5NNTIKBO7KK54CHXEED","download_json":"https://pith.science/pith/7PRX2KU5NNTIKBO7KK54CHXEED.json","view_paper":"https://pith.science/paper/7PRX2KU5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/9211004&json=true","fetch_graph":"https://pith.science/api/pith-number/7PRX2KU5NNTIKBO7KK54CHXEED/graph.json","fetch_events":"https://pith.science/api/pith-number/7PRX2KU5NNTIKBO7KK54CHXEED/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7PRX2KU5NNTIKBO7KK54CHXEED/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7PRX2KU5NNTIKBO7KK54CHXEED/action/storage_attestation","attest_author":"https://pith.science/pith/7PRX2KU5NNTIKBO7KK54CHXEED/action/author_attestation","sign_citation":"https://pith.science/pith/7PRX2KU5NNTIKBO7KK54CHXEED/action/citation_signature","submit_replication":"https://pith.science/pith/7PRX2KU5NNTIKBO7KK54CHXEED/action/replication_record"}},"created_at":"2026-07-04T15:54:49.677194+00:00","updated_at":"2026-07-04T15:54:49.677194+00:00"}