{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DN4FITUOLXDRHUDB27BPV4KN5D","short_pith_number":"pith:DN4FITUO","schema_version":"1.0","canonical_sha256":"1b78544e8e5dc713d061d7c2faf14de8ebabd723b749bdf9d19d20ada774443e","source":{"kind":"arxiv","id":"1202.0655","version":1},"attestation_state":"computed","paper":{"title":"Central Approximation in Statistical Physics and Information Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.IT"],"primary_cat":"cs.IT","authors_text":"Ryuhei Mori, Toshiyuki Tanaka","submitted_at":"2012-02-03T10:41:36Z","abstract_excerpt":"In statistical physics and information theory, although the exponent of the partition function is often of our primary interest, there are cases where one needs more detailed information. In this paper, we present a general framework to study more precise asymptotic behaviors of the partition function, using the central approximation in conjunction with the method of types."},"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":"1202.0655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-02-03T10:41:36Z","cross_cats_sorted":["cond-mat.stat-mech","math.IT"],"title_canon_sha256":"aab81442f2ec87fbb907f502b569ed4adf2d0b52083770ccc8b2397335491992","abstract_canon_sha256":"72c400b0d48d09bbe04c394fc74f3b9403c1d2b486a172deb879d8791776fab7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:08.317416Z","signature_b64":"U2NesUWvrHKR9g5278qji9xDzHk1EA/2D37LyoMGGYYLVmaOoYMUq0q93kFxiko0TW9RWOB55pGTYSdtUNJfDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b78544e8e5dc713d061d7c2faf14de8ebabd723b749bdf9d19d20ada774443e","last_reissued_at":"2026-05-18T04:03:08.316775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:08.316775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Central Approximation in Statistical Physics and Information Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.IT"],"primary_cat":"cs.IT","authors_text":"Ryuhei Mori, Toshiyuki Tanaka","submitted_at":"2012-02-03T10:41:36Z","abstract_excerpt":"In statistical physics and information theory, although the exponent of the partition function is often of our primary interest, there are cases where one needs more detailed information. In this paper, we present a general framework to study more precise asymptotic behaviors of the partition function, using the central approximation in conjunction with the method of types."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.0655","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":"1202.0655","created_at":"2026-05-18T04:03:08.316859+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.0655v1","created_at":"2026-05-18T04:03:08.316859+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.0655","created_at":"2026-05-18T04:03:08.316859+00:00"},{"alias_kind":"pith_short_12","alias_value":"DN4FITUOLXDR","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"DN4FITUOLXDRHUDB","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"DN4FITUO","created_at":"2026-05-18T12:27:04.183437+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/DN4FITUOLXDRHUDB27BPV4KN5D","json":"https://pith.science/pith/DN4FITUOLXDRHUDB27BPV4KN5D.json","graph_json":"https://pith.science/api/pith-number/DN4FITUOLXDRHUDB27BPV4KN5D/graph.json","events_json":"https://pith.science/api/pith-number/DN4FITUOLXDRHUDB27BPV4KN5D/events.json","paper":"https://pith.science/paper/DN4FITUO"},"agent_actions":{"view_html":"https://pith.science/pith/DN4FITUOLXDRHUDB27BPV4KN5D","download_json":"https://pith.science/pith/DN4FITUOLXDRHUDB27BPV4KN5D.json","view_paper":"https://pith.science/paper/DN4FITUO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.0655&json=true","fetch_graph":"https://pith.science/api/pith-number/DN4FITUOLXDRHUDB27BPV4KN5D/graph.json","fetch_events":"https://pith.science/api/pith-number/DN4FITUOLXDRHUDB27BPV4KN5D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DN4FITUOLXDRHUDB27BPV4KN5D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DN4FITUOLXDRHUDB27BPV4KN5D/action/storage_attestation","attest_author":"https://pith.science/pith/DN4FITUOLXDRHUDB27BPV4KN5D/action/author_attestation","sign_citation":"https://pith.science/pith/DN4FITUOLXDRHUDB27BPV4KN5D/action/citation_signature","submit_replication":"https://pith.science/pith/DN4FITUOLXDRHUDB27BPV4KN5D/action/replication_record"}},"created_at":"2026-05-18T04:03:08.316859+00:00","updated_at":"2026-05-18T04:03:08.316859+00:00"}