{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:3JRPTAI43HDJ7DJHA23IZBI3ZL","short_pith_number":"pith:3JRPTAI4","schema_version":"1.0","canonical_sha256":"da62f9811cd9c69f8d2706b68c851bcae49ffd30049c2da61f1d6e9803afe224","source":{"kind":"arxiv","id":"1208.5624","version":1},"attestation_state":"computed","paper":{"title":"Multicanonical distribution and the origin of power laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"D. S. P. Salazar, G. L. Vasconcelos","submitted_at":"2012-08-28T11:13:16Z","abstract_excerpt":"A multicanonical formalism is applied to the problem of statistical equilibrium in a complex system with a hierarchy of dynamical structures. At the small scales the system is in quasi-equilibrium and follows a Maxwell-Boltzmann distribution with a slowly fluctuating temperature. The probability distribution for the temperature is determined using Bayesian analysis and it is then used to average the Maxwell-Boltzmann distribution. The resulting energy distribution law is written in terms of generalized hypergeometric functions, which display power-law tails."},"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":"1208.5624","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-08-28T11:13:16Z","cross_cats_sorted":[],"title_canon_sha256":"b67ad51215c48ec24b2b60112930212914431aebfa0cff74315914e77a3f37e0","abstract_canon_sha256":"d030bf5beb5698dc6050d31bf438bd7129700b09bbb1fc44ece3af5ba2c2560c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:58.182834Z","signature_b64":"0UuepndUhl/hKBYpibrWVQ3s4rixT+6Dya3fUtDpeQ6cTIqpfuiRCvIAlmkj1K5jOSybZczlR+b7JXk90fBvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da62f9811cd9c69f8d2706b68c851bcae49ffd30049c2da61f1d6e9803afe224","last_reissued_at":"2026-05-18T03:46:58.182256Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:58.182256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multicanonical distribution and the origin of power laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"D. S. P. Salazar, G. L. Vasconcelos","submitted_at":"2012-08-28T11:13:16Z","abstract_excerpt":"A multicanonical formalism is applied to the problem of statistical equilibrium in a complex system with a hierarchy of dynamical structures. At the small scales the system is in quasi-equilibrium and follows a Maxwell-Boltzmann distribution with a slowly fluctuating temperature. The probability distribution for the temperature is determined using Bayesian analysis and it is then used to average the Maxwell-Boltzmann distribution. The resulting energy distribution law is written in terms of generalized hypergeometric functions, which display power-law tails."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5624","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":"1208.5624","created_at":"2026-05-18T03:46:58.182371+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.5624v1","created_at":"2026-05-18T03:46:58.182371+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5624","created_at":"2026-05-18T03:46:58.182371+00:00"},{"alias_kind":"pith_short_12","alias_value":"3JRPTAI43HDJ","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_16","alias_value":"3JRPTAI43HDJ7DJH","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_8","alias_value":"3JRPTAI4","created_at":"2026-05-18T12:26:50.516681+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/3JRPTAI43HDJ7DJHA23IZBI3ZL","json":"https://pith.science/pith/3JRPTAI43HDJ7DJHA23IZBI3ZL.json","graph_json":"https://pith.science/api/pith-number/3JRPTAI43HDJ7DJHA23IZBI3ZL/graph.json","events_json":"https://pith.science/api/pith-number/3JRPTAI43HDJ7DJHA23IZBI3ZL/events.json","paper":"https://pith.science/paper/3JRPTAI4"},"agent_actions":{"view_html":"https://pith.science/pith/3JRPTAI43HDJ7DJHA23IZBI3ZL","download_json":"https://pith.science/pith/3JRPTAI43HDJ7DJHA23IZBI3ZL.json","view_paper":"https://pith.science/paper/3JRPTAI4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.5624&json=true","fetch_graph":"https://pith.science/api/pith-number/3JRPTAI43HDJ7DJHA23IZBI3ZL/graph.json","fetch_events":"https://pith.science/api/pith-number/3JRPTAI43HDJ7DJHA23IZBI3ZL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3JRPTAI43HDJ7DJHA23IZBI3ZL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3JRPTAI43HDJ7DJHA23IZBI3ZL/action/storage_attestation","attest_author":"https://pith.science/pith/3JRPTAI43HDJ7DJHA23IZBI3ZL/action/author_attestation","sign_citation":"https://pith.science/pith/3JRPTAI43HDJ7DJHA23IZBI3ZL/action/citation_signature","submit_replication":"https://pith.science/pith/3JRPTAI43HDJ7DJHA23IZBI3ZL/action/replication_record"}},"created_at":"2026-05-18T03:46:58.182371+00:00","updated_at":"2026-05-18T03:46:58.182371+00:00"}