{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3FQXYLFUGOWHLW2IQ2U3WY4Q57","short_pith_number":"pith:3FQXYLFU","schema_version":"1.0","canonical_sha256":"d9617c2cb433ac75db4886a9bb6390efeafc142a3fc1ce27218cb6bcd749f22b","source":{"kind":"arxiv","id":"1402.6767","version":2},"attestation_state":"computed","paper":{"title":"Snapshot spectrum and critical phenomenon for two-dimensional classical spin systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Kouichi Okunishi, Satoshi Morita, Tsuyoshi Okubo, Yukinari Imura","submitted_at":"2014-02-27T02:01:30Z","abstract_excerpt":"We investigate the eigenvalue distribution of the snapshot density matrix (SDM) generated by Monte Carlo simulation for two-dimensional classical spin systems. We find that the distribution in the high-temperature limit is well explained by the random-matrix theory, while that in the low-temperature limit can be characterized by the zero-eigenvalue condensation. At the critical point, we obtain the power-law distribution with a nontrivial exponent $\\alpha\\equiv(2-\\eta)/(1-\\eta)$ and the asymptotic form of the snapshot entropy, on the basis of the relationship of the SDM with the correlation fu"},"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":"1402.6767","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-02-27T02:01:30Z","cross_cats_sorted":[],"title_canon_sha256":"31af1c9404354d1627e2519c85efbb7b93d5a0911df7cc789650b5fbb4de8351","abstract_canon_sha256":"f659ef53edd7fe1dcf8251596b3e60e8d265a46e46db83c059fc6fea9c923416"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:03.301545Z","signature_b64":"D8I/Vu8/65s6ATDNgjKH2uknO/evWYIVIOckae7Xal9apRaApgaId25ryDbPJFiMXoS4GnWAAerlQVnmTn8gDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9617c2cb433ac75db4886a9bb6390efeafc142a3fc1ce27218cb6bcd749f22b","last_reissued_at":"2026-05-18T02:40:03.300953Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:03.300953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Snapshot spectrum and critical phenomenon for two-dimensional classical spin systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Kouichi Okunishi, Satoshi Morita, Tsuyoshi Okubo, Yukinari Imura","submitted_at":"2014-02-27T02:01:30Z","abstract_excerpt":"We investigate the eigenvalue distribution of the snapshot density matrix (SDM) generated by Monte Carlo simulation for two-dimensional classical spin systems. We find that the distribution in the high-temperature limit is well explained by the random-matrix theory, while that in the low-temperature limit can be characterized by the zero-eigenvalue condensation. At the critical point, we obtain the power-law distribution with a nontrivial exponent $\\alpha\\equiv(2-\\eta)/(1-\\eta)$ and the asymptotic form of the snapshot entropy, on the basis of the relationship of the SDM with the correlation fu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.6767","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":""},"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":"1402.6767","created_at":"2026-05-18T02:40:03.301040+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.6767v2","created_at":"2026-05-18T02:40:03.301040+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.6767","created_at":"2026-05-18T02:40:03.301040+00:00"},{"alias_kind":"pith_short_12","alias_value":"3FQXYLFUGOWH","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3FQXYLFUGOWHLW2I","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3FQXYLFU","created_at":"2026-05-18T12:28:11.866339+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/3FQXYLFUGOWHLW2IQ2U3WY4Q57","json":"https://pith.science/pith/3FQXYLFUGOWHLW2IQ2U3WY4Q57.json","graph_json":"https://pith.science/api/pith-number/3FQXYLFUGOWHLW2IQ2U3WY4Q57/graph.json","events_json":"https://pith.science/api/pith-number/3FQXYLFUGOWHLW2IQ2U3WY4Q57/events.json","paper":"https://pith.science/paper/3FQXYLFU"},"agent_actions":{"view_html":"https://pith.science/pith/3FQXYLFUGOWHLW2IQ2U3WY4Q57","download_json":"https://pith.science/pith/3FQXYLFUGOWHLW2IQ2U3WY4Q57.json","view_paper":"https://pith.science/paper/3FQXYLFU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.6767&json=true","fetch_graph":"https://pith.science/api/pith-number/3FQXYLFUGOWHLW2IQ2U3WY4Q57/graph.json","fetch_events":"https://pith.science/api/pith-number/3FQXYLFUGOWHLW2IQ2U3WY4Q57/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3FQXYLFUGOWHLW2IQ2U3WY4Q57/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3FQXYLFUGOWHLW2IQ2U3WY4Q57/action/storage_attestation","attest_author":"https://pith.science/pith/3FQXYLFUGOWHLW2IQ2U3WY4Q57/action/author_attestation","sign_citation":"https://pith.science/pith/3FQXYLFUGOWHLW2IQ2U3WY4Q57/action/citation_signature","submit_replication":"https://pith.science/pith/3FQXYLFUGOWHLW2IQ2U3WY4Q57/action/replication_record"}},"created_at":"2026-05-18T02:40:03.301040+00:00","updated_at":"2026-05-18T02:40:03.301040+00:00"}