{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:U3YP7ZFSY2SETQBWTCVX7ADJVD","short_pith_number":"pith:U3YP7ZFS","schema_version":"1.0","canonical_sha256":"a6f0ffe4b2c6a449c03698ab7f8069a8f790a855f8fc7dc35e061d9a5ea30395","source":{"kind":"arxiv","id":"1901.08233","version":2},"attestation_state":"computed","paper":{"title":"Solution to the key problem of statistical physics -- calculations of partition function of many-body systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Bo-Yuan Ning, Le-Cheng Gong, Tsu-Chien Weng, Xi-Jing Ning","submitted_at":"2019-01-24T04:47:57Z","abstract_excerpt":"The key problem of statistical physics standing over one hundred years is how to exactly calculate the partition function (or free energy) of many-body interaction systems, which severely hinders application of the theory for realistic systems. Here we present a novel approach that works at least four orders faster than state-of-the-art algorithms to the problem and can be applied to predict thermal properties of large molecules or macroscopic condensed matters via \\emph{ab initio} calculations.The method was demonstrated by C$_{60}$ molecules, solid and liquid copper (up to $\\sim 600$GPa), so"},"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":"1901.08233","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-01-24T04:47:57Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"37e0f6a21f1a7ba5ce96a6d88f98531d0a70e314a3e2fd455acb336d81a15806","abstract_canon_sha256":"92a584229cb139934e82983c47c956bf4643a7292d67a3bd50694063e7650941"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:48.390655Z","signature_b64":"1u+7eRj0Cb0F+YgwGxMsffgxd4dr0AFoOJE0E8oLQxdULL61CIWQ8y+1qNPLgl5fNGSnyYxY7EBvTDPoHbw3Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6f0ffe4b2c6a449c03698ab7f8069a8f790a855f8fc7dc35e061d9a5ea30395","last_reissued_at":"2026-05-17T23:47:48.390091Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:48.390091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solution to the key problem of statistical physics -- calculations of partition function of many-body systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Bo-Yuan Ning, Le-Cheng Gong, Tsu-Chien Weng, Xi-Jing Ning","submitted_at":"2019-01-24T04:47:57Z","abstract_excerpt":"The key problem of statistical physics standing over one hundred years is how to exactly calculate the partition function (or free energy) of many-body interaction systems, which severely hinders application of the theory for realistic systems. Here we present a novel approach that works at least four orders faster than state-of-the-art algorithms to the problem and can be applied to predict thermal properties of large molecules or macroscopic condensed matters via \\emph{ab initio} calculations.The method was demonstrated by C$_{60}$ molecules, solid and liquid copper (up to $\\sim 600$GPa), so"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.08233","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":"1901.08233","created_at":"2026-05-17T23:47:48.390167+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.08233v2","created_at":"2026-05-17T23:47:48.390167+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.08233","created_at":"2026-05-17T23:47:48.390167+00:00"},{"alias_kind":"pith_short_12","alias_value":"U3YP7ZFSY2SE","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"U3YP7ZFSY2SETQBW","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"U3YP7ZFS","created_at":"2026-05-18T12:33:30.264802+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/U3YP7ZFSY2SETQBWTCVX7ADJVD","json":"https://pith.science/pith/U3YP7ZFSY2SETQBWTCVX7ADJVD.json","graph_json":"https://pith.science/api/pith-number/U3YP7ZFSY2SETQBWTCVX7ADJVD/graph.json","events_json":"https://pith.science/api/pith-number/U3YP7ZFSY2SETQBWTCVX7ADJVD/events.json","paper":"https://pith.science/paper/U3YP7ZFS"},"agent_actions":{"view_html":"https://pith.science/pith/U3YP7ZFSY2SETQBWTCVX7ADJVD","download_json":"https://pith.science/pith/U3YP7ZFSY2SETQBWTCVX7ADJVD.json","view_paper":"https://pith.science/paper/U3YP7ZFS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.08233&json=true","fetch_graph":"https://pith.science/api/pith-number/U3YP7ZFSY2SETQBWTCVX7ADJVD/graph.json","fetch_events":"https://pith.science/api/pith-number/U3YP7ZFSY2SETQBWTCVX7ADJVD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U3YP7ZFSY2SETQBWTCVX7ADJVD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U3YP7ZFSY2SETQBWTCVX7ADJVD/action/storage_attestation","attest_author":"https://pith.science/pith/U3YP7ZFSY2SETQBWTCVX7ADJVD/action/author_attestation","sign_citation":"https://pith.science/pith/U3YP7ZFSY2SETQBWTCVX7ADJVD/action/citation_signature","submit_replication":"https://pith.science/pith/U3YP7ZFSY2SETQBWTCVX7ADJVD/action/replication_record"}},"created_at":"2026-05-17T23:47:48.390167+00:00","updated_at":"2026-05-17T23:47:48.390167+00:00"}