{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:QSZJDMPJU3I5X6LUFT24TSJCLD","short_pith_number":"pith:QSZJDMPJ","schema_version":"1.0","canonical_sha256":"84b291b1e9a6d1dbf9742cf5c9c92258f40f5ef768079f6bb02083c5b791064c","source":{"kind":"arxiv","id":"1210.1415","version":1},"attestation_state":"computed","paper":{"title":"Asymptotic formulas for integer partitions within the approach of microcanonical ensemble","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Rovenchak, D. Prokhorov","submitted_at":"2012-10-04T12:34:45Z","abstract_excerpt":"The problem of integer partitions is addressed using the microcanonical approach which is based on the analogy between this problem in the number theory and the calculation of microstates of a many-boson system. For ordinary (one-dimensional) partitions, the correction to the leading asymptotic is obtained. The estimate for the number of two-dimensional (plane) partitions coincides with known asymptotic results."},"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":"1210.1415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-04T12:34:45Z","cross_cats_sorted":[],"title_canon_sha256":"12572d7a8b0755a6aec01bfd6dc6fc35437ae684106978500eeb5fdfce753f13","abstract_canon_sha256":"fb01af3c4b9f831a64663b1483c3717e304229ceecfcb364f30892d0185a3717"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:03.617090Z","signature_b64":"pR8MpiAFxetNZLfskksDWYTJP/lDewsfilLpWZsXHJuJKHtOM6g8mJ3PUtNFt9uHDpL29Mv03UlVuYPCn3OSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84b291b1e9a6d1dbf9742cf5c9c92258f40f5ef768079f6bb02083c5b791064c","last_reissued_at":"2026-05-18T03:44:03.616313Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:03.616313Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic formulas for integer partitions within the approach of microcanonical ensemble","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Rovenchak, D. Prokhorov","submitted_at":"2012-10-04T12:34:45Z","abstract_excerpt":"The problem of integer partitions is addressed using the microcanonical approach which is based on the analogy between this problem in the number theory and the calculation of microstates of a many-boson system. For ordinary (one-dimensional) partitions, the correction to the leading asymptotic is obtained. The estimate for the number of two-dimensional (plane) partitions coincides with known asymptotic results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1415","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":"1210.1415","created_at":"2026-05-18T03:44:03.616457+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.1415v1","created_at":"2026-05-18T03:44:03.616457+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1415","created_at":"2026-05-18T03:44:03.616457+00:00"},{"alias_kind":"pith_short_12","alias_value":"QSZJDMPJU3I5","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QSZJDMPJU3I5X6LU","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QSZJDMPJ","created_at":"2026-05-18T12:27:18.751474+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/QSZJDMPJU3I5X6LUFT24TSJCLD","json":"https://pith.science/pith/QSZJDMPJU3I5X6LUFT24TSJCLD.json","graph_json":"https://pith.science/api/pith-number/QSZJDMPJU3I5X6LUFT24TSJCLD/graph.json","events_json":"https://pith.science/api/pith-number/QSZJDMPJU3I5X6LUFT24TSJCLD/events.json","paper":"https://pith.science/paper/QSZJDMPJ"},"agent_actions":{"view_html":"https://pith.science/pith/QSZJDMPJU3I5X6LUFT24TSJCLD","download_json":"https://pith.science/pith/QSZJDMPJU3I5X6LUFT24TSJCLD.json","view_paper":"https://pith.science/paper/QSZJDMPJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.1415&json=true","fetch_graph":"https://pith.science/api/pith-number/QSZJDMPJU3I5X6LUFT24TSJCLD/graph.json","fetch_events":"https://pith.science/api/pith-number/QSZJDMPJU3I5X6LUFT24TSJCLD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QSZJDMPJU3I5X6LUFT24TSJCLD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QSZJDMPJU3I5X6LUFT24TSJCLD/action/storage_attestation","attest_author":"https://pith.science/pith/QSZJDMPJU3I5X6LUFT24TSJCLD/action/author_attestation","sign_citation":"https://pith.science/pith/QSZJDMPJU3I5X6LUFT24TSJCLD/action/citation_signature","submit_replication":"https://pith.science/pith/QSZJDMPJU3I5X6LUFT24TSJCLD/action/replication_record"}},"created_at":"2026-05-18T03:44:03.616457+00:00","updated_at":"2026-05-18T03:44:03.616457+00:00"}