{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:VPSHQGG7VL5SUXYYDX32UEJEML","short_pith_number":"pith:VPSHQGG7","schema_version":"1.0","canonical_sha256":"abe47818dfaafb2a5f181df7aa112462ce3646e9398cdfa109b3723af33d637d","source":{"kind":"arxiv","id":"1903.02121","version":2},"attestation_state":"computed","paper":{"title":"The Generalized Boltzmann Distribution is the Only Distribution in Which the Gibbs-Shannon Entropy Equals the Thermodynamic Entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Adrian E. Roitberg, Emilio Gallicchio, Xiang Gao","submitted_at":"2019-03-06T00:00:11Z","abstract_excerpt":"We show that the generalized Boltzmann distribution is the only distribution for which the Gibbs-Shannon entropy equals the thermodynamic entropy. This result means that the thermodynamic entropy and the Gibbs-Shannon entropy are not generally equal, but rather than the equality holds only in the special case where a system is in equilibrium with a reservoir."},"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":"1903.02121","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-03-06T00:00:11Z","cross_cats_sorted":[],"title_canon_sha256":"07a455fb9a8bd6baf054fc3c62366d50c6516d966a9073a0a555e0c93fe30a57","abstract_canon_sha256":"6b53f42af6323e405e91b17ee4b3e99c009d926aa78e19ad2c11d924bc293b40"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:54.788019Z","signature_b64":"KDonqYMBZEqCeH+Fm6/Z1COgjEaHl/2plOdfQb/2xxmcUZzBwVOG2TbbkVDu0x1pi7aDkhio/7/v6oWN3hPFAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abe47818dfaafb2a5f181df7aa112462ce3646e9398cdfa109b3723af33d637d","last_reissued_at":"2026-05-17T23:39:54.787472Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:54.787472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Generalized Boltzmann Distribution is the Only Distribution in Which the Gibbs-Shannon Entropy Equals the Thermodynamic Entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Adrian E. Roitberg, Emilio Gallicchio, Xiang Gao","submitted_at":"2019-03-06T00:00:11Z","abstract_excerpt":"We show that the generalized Boltzmann distribution is the only distribution for which the Gibbs-Shannon entropy equals the thermodynamic entropy. This result means that the thermodynamic entropy and the Gibbs-Shannon entropy are not generally equal, but rather than the equality holds only in the special case where a system is in equilibrium with a reservoir."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.02121","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":"1903.02121","created_at":"2026-05-17T23:39:54.787559+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.02121v2","created_at":"2026-05-17T23:39:54.787559+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.02121","created_at":"2026-05-17T23:39:54.787559+00:00"},{"alias_kind":"pith_short_12","alias_value":"VPSHQGG7VL5S","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"VPSHQGG7VL5SUXYY","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"VPSHQGG7","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/VPSHQGG7VL5SUXYYDX32UEJEML","json":"https://pith.science/pith/VPSHQGG7VL5SUXYYDX32UEJEML.json","graph_json":"https://pith.science/api/pith-number/VPSHQGG7VL5SUXYYDX32UEJEML/graph.json","events_json":"https://pith.science/api/pith-number/VPSHQGG7VL5SUXYYDX32UEJEML/events.json","paper":"https://pith.science/paper/VPSHQGG7"},"agent_actions":{"view_html":"https://pith.science/pith/VPSHQGG7VL5SUXYYDX32UEJEML","download_json":"https://pith.science/pith/VPSHQGG7VL5SUXYYDX32UEJEML.json","view_paper":"https://pith.science/paper/VPSHQGG7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.02121&json=true","fetch_graph":"https://pith.science/api/pith-number/VPSHQGG7VL5SUXYYDX32UEJEML/graph.json","fetch_events":"https://pith.science/api/pith-number/VPSHQGG7VL5SUXYYDX32UEJEML/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VPSHQGG7VL5SUXYYDX32UEJEML/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VPSHQGG7VL5SUXYYDX32UEJEML/action/storage_attestation","attest_author":"https://pith.science/pith/VPSHQGG7VL5SUXYYDX32UEJEML/action/author_attestation","sign_citation":"https://pith.science/pith/VPSHQGG7VL5SUXYYDX32UEJEML/action/citation_signature","submit_replication":"https://pith.science/pith/VPSHQGG7VL5SUXYYDX32UEJEML/action/replication_record"}},"created_at":"2026-05-17T23:39:54.787559+00:00","updated_at":"2026-05-17T23:39:54.787559+00:00"}