{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:AH2A7PHLNTTTDFFP54JNMOEYPH","short_pith_number":"pith:AH2A7PHL","schema_version":"1.0","canonical_sha256":"01f40fbceb6ce73194afef12d6389879ce5566c21b9c424afc436f9823d01a22","source":{"kind":"arxiv","id":"2607.03867","version":1},"attestation_state":"computed","paper":{"title":"The Reweighting Principle in Statistical Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Salvatore Romano","submitted_at":"2026-07-04T13:18:35Z","abstract_excerpt":"Reweighting of probability measures provides a unifying perspective on conditioning, exponential tilting, and, more generally, ensemble transformations in statistical mechanics. We show that exponential tilting and conditioning arise as the minimum-relative-entropy updates associated with soft and hard constraints, respectively. Their relative entropies naturally inherit complementary thermodynamic structures: exponential tilting gives rise to the Legendre structure of the canonical ensemble and reduces to the Gibbs entropy for a uniform reference measure, while conditioning reduces to the Bol"},"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":"2607.03867","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-07-04T13:18:35Z","cross_cats_sorted":[],"title_canon_sha256":"786a3eabbeaff5cec45a3e32d9f89fdb1b944c5ca4c01c10e87deaa3cc36e6c3","abstract_canon_sha256":"7ec41fd720a83d6d9e43a9406a00d5fd617dcf5a102906348a9b4743e444a715"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T02:18:11.518730Z","signature_b64":"HSQDUDFaG/pU7zirH7E7Ze1TxmcsmjckXjOY80lvGxsgO3vFYjHgnUYhEsZWjAq2RbY3DmvusjlZC/iK9BIwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01f40fbceb6ce73194afef12d6389879ce5566c21b9c424afc436f9823d01a22","last_reissued_at":"2026-07-07T02:18:11.517766Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T02:18:11.517766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Reweighting Principle in Statistical Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Salvatore Romano","submitted_at":"2026-07-04T13:18:35Z","abstract_excerpt":"Reweighting of probability measures provides a unifying perspective on conditioning, exponential tilting, and, more generally, ensemble transformations in statistical mechanics. We show that exponential tilting and conditioning arise as the minimum-relative-entropy updates associated with soft and hard constraints, respectively. Their relative entropies naturally inherit complementary thermodynamic structures: exponential tilting gives rise to the Legendre structure of the canonical ensemble and reduces to the Gibbs entropy for a uniform reference measure, while conditioning reduces to the Bol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.03867","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.03867/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.03867","created_at":"2026-07-07T02:18:11.518036+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.03867v1","created_at":"2026-07-07T02:18:11.518036+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.03867","created_at":"2026-07-07T02:18:11.518036+00:00"},{"alias_kind":"pith_short_12","alias_value":"AH2A7PHLNTTT","created_at":"2026-07-07T02:18:11.518036+00:00"},{"alias_kind":"pith_short_16","alias_value":"AH2A7PHLNTTTDFFP","created_at":"2026-07-07T02:18:11.518036+00:00"},{"alias_kind":"pith_short_8","alias_value":"AH2A7PHL","created_at":"2026-07-07T02:18:11.518036+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/AH2A7PHLNTTTDFFP54JNMOEYPH","json":"https://pith.science/pith/AH2A7PHLNTTTDFFP54JNMOEYPH.json","graph_json":"https://pith.science/api/pith-number/AH2A7PHLNTTTDFFP54JNMOEYPH/graph.json","events_json":"https://pith.science/api/pith-number/AH2A7PHLNTTTDFFP54JNMOEYPH/events.json","paper":"https://pith.science/paper/AH2A7PHL"},"agent_actions":{"view_html":"https://pith.science/pith/AH2A7PHLNTTTDFFP54JNMOEYPH","download_json":"https://pith.science/pith/AH2A7PHLNTTTDFFP54JNMOEYPH.json","view_paper":"https://pith.science/paper/AH2A7PHL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.03867&json=true","fetch_graph":"https://pith.science/api/pith-number/AH2A7PHLNTTTDFFP54JNMOEYPH/graph.json","fetch_events":"https://pith.science/api/pith-number/AH2A7PHLNTTTDFFP54JNMOEYPH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AH2A7PHLNTTTDFFP54JNMOEYPH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AH2A7PHLNTTTDFFP54JNMOEYPH/action/storage_attestation","attest_author":"https://pith.science/pith/AH2A7PHLNTTTDFFP54JNMOEYPH/action/author_attestation","sign_citation":"https://pith.science/pith/AH2A7PHLNTTTDFFP54JNMOEYPH/action/citation_signature","submit_replication":"https://pith.science/pith/AH2A7PHLNTTTDFFP54JNMOEYPH/action/replication_record"}},"created_at":"2026-07-07T02:18:11.518036+00:00","updated_at":"2026-07-07T02:18:11.518036+00:00"}