{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:EWH3QJX6WOE3H7FEQQZJLXQWY2","short_pith_number":"pith:EWH3QJX6","schema_version":"1.0","canonical_sha256":"258fb826feb389b3fca4843295de16c6b8176d821c813e9566e8f3226a8e7014","source":{"kind":"arxiv","id":"cond-mat/0201309","version":2},"attestation_state":"computed","paper":{"title":"Arctic octahedron in three-dimensional rhombus tilings and related integer solid partitions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"F. Bailly, M. Widom, N. Destainville, R. Mosseri","submitted_at":"2002-01-17T16:05:29Z","abstract_excerpt":"Three-dimensional integer partitions provide a convenient representation of codimension-one three-dimensional random rhombus tilings. Calculating the entropy for such a model is a notoriously difficult problem. We apply transition matrix Monte Carlo simulations to evaluate their entropy with high precision. We consider both free- and fixed-boundary tilings. Our results suggest that the ratio of free- and fixed-boundary entropies is $\\sigma_{free}/\\sigma_{fixed}=3/2$, and can be interpreted as the ratio of the volumes of two simple, nested, polyhedra. This finding supports a conjecture by Linde"},"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":"cond-mat/0201309","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-01-17T16:05:29Z","cross_cats_sorted":[],"title_canon_sha256":"d2ee4e108c6811fa6ecbe767a077bfb92c1e110117289fb4a82fd41dba2470fb","abstract_canon_sha256":"58e3f10bf213cad5febf7cc3d2365373f30dc75fc5bffef930242e7ed39c50d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:04.211799Z","signature_b64":"Dxu1hUgoypVdA0r2LP+QBLVj6/it9CpyD/evkzWbwiIq0pJTRsphOfTrh7VFp/Cp6GaLb4GjcW0OSPmQcp3GCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"258fb826feb389b3fca4843295de16c6b8176d821c813e9566e8f3226a8e7014","last_reissued_at":"2026-05-18T01:40:04.211089Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:04.211089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Arctic octahedron in three-dimensional rhombus tilings and related integer solid partitions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"F. Bailly, M. Widom, N. Destainville, R. Mosseri","submitted_at":"2002-01-17T16:05:29Z","abstract_excerpt":"Three-dimensional integer partitions provide a convenient representation of codimension-one three-dimensional random rhombus tilings. Calculating the entropy for such a model is a notoriously difficult problem. We apply transition matrix Monte Carlo simulations to evaluate their entropy with high precision. We consider both free- and fixed-boundary tilings. Our results suggest that the ratio of free- and fixed-boundary entropies is $\\sigma_{free}/\\sigma_{fixed}=3/2$, and can be interpreted as the ratio of the volumes of two simple, nested, polyhedra. This finding supports a conjecture by Linde"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0201309","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":"cond-mat/0201309","created_at":"2026-05-18T01:40:04.211201+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0201309v2","created_at":"2026-05-18T01:40:04.211201+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0201309","created_at":"2026-05-18T01:40:04.211201+00:00"},{"alias_kind":"pith_short_12","alias_value":"EWH3QJX6WOE3","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"EWH3QJX6WOE3H7FE","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"EWH3QJX6","created_at":"2026-05-18T12:25:50.845339+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/EWH3QJX6WOE3H7FEQQZJLXQWY2","json":"https://pith.science/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2.json","graph_json":"https://pith.science/api/pith-number/EWH3QJX6WOE3H7FEQQZJLXQWY2/graph.json","events_json":"https://pith.science/api/pith-number/EWH3QJX6WOE3H7FEQQZJLXQWY2/events.json","paper":"https://pith.science/paper/EWH3QJX6"},"agent_actions":{"view_html":"https://pith.science/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2","download_json":"https://pith.science/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2.json","view_paper":"https://pith.science/paper/EWH3QJX6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0201309&json=true","fetch_graph":"https://pith.science/api/pith-number/EWH3QJX6WOE3H7FEQQZJLXQWY2/graph.json","fetch_events":"https://pith.science/api/pith-number/EWH3QJX6WOE3H7FEQQZJLXQWY2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2/action/storage_attestation","attest_author":"https://pith.science/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2/action/author_attestation","sign_citation":"https://pith.science/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2/action/citation_signature","submit_replication":"https://pith.science/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2/action/replication_record"}},"created_at":"2026-05-18T01:40:04.211201+00:00","updated_at":"2026-05-18T01:40:04.211201+00:00"}