{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:JOFWMYBN7SSOGTTIBOTYJCW72G","short_pith_number":"pith:JOFWMYBN","schema_version":"1.0","canonical_sha256":"4b8b66602dfca4e34e680ba7848adfd1b1f50fa283cd8968ed5e01529f962c63","source":{"kind":"arxiv","id":"1408.0771","version":2},"attestation_state":"computed","paper":{"title":"Statistical Thermodynamics of Clustered Populations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"Themis Matsoukas","submitted_at":"2014-08-01T18:58:15Z","abstract_excerpt":"We present a thermodynamic theory for a generic population of $M$ individuals distributed into $N$ groups (clusters). We construct the ensemble of all distributions with fixed $M$ and $N$, introduce a selection functional that embodies the physics that governs the population, and obtain the distribution that emerges in the scaling limit as the most probable among all distributions consistent with the given physics. We develop the thermodynamics of the ensemble and establish a rigorous mapping to thermodynamics. We treat the emergence of a so-called \"giant component\" as a formal phase transitio"},"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":"1408.0771","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2014-08-01T18:58:15Z","cross_cats_sorted":[],"title_canon_sha256":"3be75cbdbe67475c473f7b914a3dad9ca92181e51f6bc01664f1e3bf742069a1","abstract_canon_sha256":"425d6a1939c3210f28557463d717446e2feb1469e015be1d43370720edc2b066"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:03.769491Z","signature_b64":"YDa211jrtlfyyJZN7/O+XdpK0N83ERhHqsKMEP+NpAYv4hgHcvK/KuwlguCNJWohioFkncLodi4ewkSAEB/XDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b8b66602dfca4e34e680ba7848adfd1b1f50fa283cd8968ed5e01529f962c63","last_reissued_at":"2026-05-18T02:45:03.768909Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:03.768909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Statistical Thermodynamics of Clustered Populations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"Themis Matsoukas","submitted_at":"2014-08-01T18:58:15Z","abstract_excerpt":"We present a thermodynamic theory for a generic population of $M$ individuals distributed into $N$ groups (clusters). We construct the ensemble of all distributions with fixed $M$ and $N$, introduce a selection functional that embodies the physics that governs the population, and obtain the distribution that emerges in the scaling limit as the most probable among all distributions consistent with the given physics. We develop the thermodynamics of the ensemble and establish a rigorous mapping to thermodynamics. We treat the emergence of a so-called \"giant component\" as a formal phase transitio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0771","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":"1408.0771","created_at":"2026-05-18T02:45:03.768999+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.0771v2","created_at":"2026-05-18T02:45:03.768999+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0771","created_at":"2026-05-18T02:45:03.768999+00:00"},{"alias_kind":"pith_short_12","alias_value":"JOFWMYBN7SSO","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"JOFWMYBN7SSOGTTI","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"JOFWMYBN","created_at":"2026-05-18T12:28:35.611951+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/JOFWMYBN7SSOGTTIBOTYJCW72G","json":"https://pith.science/pith/JOFWMYBN7SSOGTTIBOTYJCW72G.json","graph_json":"https://pith.science/api/pith-number/JOFWMYBN7SSOGTTIBOTYJCW72G/graph.json","events_json":"https://pith.science/api/pith-number/JOFWMYBN7SSOGTTIBOTYJCW72G/events.json","paper":"https://pith.science/paper/JOFWMYBN"},"agent_actions":{"view_html":"https://pith.science/pith/JOFWMYBN7SSOGTTIBOTYJCW72G","download_json":"https://pith.science/pith/JOFWMYBN7SSOGTTIBOTYJCW72G.json","view_paper":"https://pith.science/paper/JOFWMYBN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.0771&json=true","fetch_graph":"https://pith.science/api/pith-number/JOFWMYBN7SSOGTTIBOTYJCW72G/graph.json","fetch_events":"https://pith.science/api/pith-number/JOFWMYBN7SSOGTTIBOTYJCW72G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JOFWMYBN7SSOGTTIBOTYJCW72G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JOFWMYBN7SSOGTTIBOTYJCW72G/action/storage_attestation","attest_author":"https://pith.science/pith/JOFWMYBN7SSOGTTIBOTYJCW72G/action/author_attestation","sign_citation":"https://pith.science/pith/JOFWMYBN7SSOGTTIBOTYJCW72G/action/citation_signature","submit_replication":"https://pith.science/pith/JOFWMYBN7SSOGTTIBOTYJCW72G/action/replication_record"}},"created_at":"2026-05-18T02:45:03.768999+00:00","updated_at":"2026-05-18T02:45:03.768999+00:00"}