{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:QY3FW6RIGJ4LPQRG6P67BQ45A2","short_pith_number":"pith:QY3FW6RI","schema_version":"1.0","canonical_sha256":"86365b7a283278b7c226f3fdf0c39d06aadb5666a2ce6d3f1058367b9a92b8e2","source":{"kind":"arxiv","id":"1506.01933","version":2},"attestation_state":"computed","paper":{"title":"Phase transitions at high energy vindicate negative microcanonical temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Augusto Smerzi, Pierfrancesco Buonsante, Roberto Franzosi","submitted_at":"2015-06-05T14:57:20Z","abstract_excerpt":"The notion of negative absolute temperature emerges naturally from Boltzmann's definition of \"surface\" microcanonical entropy in isolated systems with a bounded energy density. Recently, the well-posedness of such construct has been challenged, on account that only the Gibbs \"volume\" entropy ---and the strictly positive temperature thereof--- would give rise to a consistent thermodynamics. Here we present analytical and numerical evidence that Boltzmann microcanonical entropy provides a consistent thermometry for both signs of the temperature. In particular, we show that Boltzmann (negative) t"},"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":"1506.01933","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-05T14:57:20Z","cross_cats_sorted":[],"title_canon_sha256":"b537de213a6e5098d414a2cfb1199934ec6ec06f710e57de7a5cfed1b1979205","abstract_canon_sha256":"a147356467570d21c796c48e13ae349d471b2af3afeda86d0dbc834db9c2a943"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:30.925159Z","signature_b64":"dkN7H0PQA3Ys63yVzqnQJfNP96n1O5f2l4InSUapCXlhJ0PQYCvviVGSudMgvodi+DH2k35rcIbS/S6ljbbqBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86365b7a283278b7c226f3fdf0c39d06aadb5666a2ce6d3f1058367b9a92b8e2","last_reissued_at":"2026-05-18T00:43:30.924526Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:30.924526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase transitions at high energy vindicate negative microcanonical temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Augusto Smerzi, Pierfrancesco Buonsante, Roberto Franzosi","submitted_at":"2015-06-05T14:57:20Z","abstract_excerpt":"The notion of negative absolute temperature emerges naturally from Boltzmann's definition of \"surface\" microcanonical entropy in isolated systems with a bounded energy density. Recently, the well-posedness of such construct has been challenged, on account that only the Gibbs \"volume\" entropy ---and the strictly positive temperature thereof--- would give rise to a consistent thermodynamics. Here we present analytical and numerical evidence that Boltzmann microcanonical entropy provides a consistent thermometry for both signs of the temperature. In particular, we show that Boltzmann (negative) t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01933","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":"1506.01933","created_at":"2026-05-18T00:43:30.924616+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.01933v2","created_at":"2026-05-18T00:43:30.924616+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01933","created_at":"2026-05-18T00:43:30.924616+00:00"},{"alias_kind":"pith_short_12","alias_value":"QY3FW6RIGJ4L","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"QY3FW6RIGJ4LPQRG","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"QY3FW6RI","created_at":"2026-05-18T12:29:39.896362+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/QY3FW6RIGJ4LPQRG6P67BQ45A2","json":"https://pith.science/pith/QY3FW6RIGJ4LPQRG6P67BQ45A2.json","graph_json":"https://pith.science/api/pith-number/QY3FW6RIGJ4LPQRG6P67BQ45A2/graph.json","events_json":"https://pith.science/api/pith-number/QY3FW6RIGJ4LPQRG6P67BQ45A2/events.json","paper":"https://pith.science/paper/QY3FW6RI"},"agent_actions":{"view_html":"https://pith.science/pith/QY3FW6RIGJ4LPQRG6P67BQ45A2","download_json":"https://pith.science/pith/QY3FW6RIGJ4LPQRG6P67BQ45A2.json","view_paper":"https://pith.science/paper/QY3FW6RI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.01933&json=true","fetch_graph":"https://pith.science/api/pith-number/QY3FW6RIGJ4LPQRG6P67BQ45A2/graph.json","fetch_events":"https://pith.science/api/pith-number/QY3FW6RIGJ4LPQRG6P67BQ45A2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QY3FW6RIGJ4LPQRG6P67BQ45A2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QY3FW6RIGJ4LPQRG6P67BQ45A2/action/storage_attestation","attest_author":"https://pith.science/pith/QY3FW6RIGJ4LPQRG6P67BQ45A2/action/author_attestation","sign_citation":"https://pith.science/pith/QY3FW6RIGJ4LPQRG6P67BQ45A2/action/citation_signature","submit_replication":"https://pith.science/pith/QY3FW6RIGJ4LPQRG6P67BQ45A2/action/replication_record"}},"created_at":"2026-05-18T00:43:30.924616+00:00","updated_at":"2026-05-18T00:43:30.924616+00:00"}