{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:EWH3QJX6WOE3H7FEQQZJLXQWY2","short_pith_number":"pith:EWH3QJX6","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"},"canonical_sha256":"258fb826feb389b3fca4843295de16c6b8176d821c813e9566e8f3226a8e7014","source":{"kind":"arxiv","id":"cond-mat/0201309","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0201309","created_at":"2026-05-18T01:40:04Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0201309v2","created_at":"2026-05-18T01:40:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0201309","created_at":"2026-05-18T01:40:04Z"},{"alias_kind":"pith_short_12","alias_value":"EWH3QJX6WOE3","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"EWH3QJX6WOE3H7FE","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"EWH3QJX6","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:EWH3QJX6WOE3H7FEQQZJLXQWY2","target":"record","payload":{"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"},"canonical_sha256":"258fb826feb389b3fca4843295de16c6b8176d821c813e9566e8f3226a8e7014","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"},"source_kind":"arxiv","source_id":"cond-mat/0201309","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:40:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eiXhMn6TWHbnw9pjK+5RKzqba2vq9Ts7hP2fZVjQa29mTDd4/LbCgPEWNup+6dXSeFdBOHdXDsU5krUDrdcKAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:06:32.547072Z"},"content_sha256":"52e5333735ac1370e6a23b0a398fc0bfe3d0f78cea9d7684c12bf71fcb994451","schema_version":"1.0","event_id":"sha256:52e5333735ac1370e6a23b0a398fc0bfe3d0f78cea9d7684c12bf71fcb994451"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:EWH3QJX6WOE3H7FEQQZJLXQWY2","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:40:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MSqs8iuLPH81P1yyxDoKMRf42fjJXaNQKQPKz2r78LCBPtqkfFfp0XmuR3LRmQQ5GZwgWO4xL7aC8tVV0O9RCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:06:32.547424Z"},"content_sha256":"0f21fe3aa671e604c36ee7725c20804fef91674cca96057e812e1de9736bf6f7","schema_version":"1.0","event_id":"sha256:0f21fe3aa671e604c36ee7725c20804fef91674cca96057e812e1de9736bf6f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2/bundle.json","state_url":"https://pith.science/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T10:06:32Z","links":{"resolver":"https://pith.science/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2","bundle":"https://pith.science/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2/bundle.json","state":"https://pith.science/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EWH3QJX6WOE3H7FEQQZJLXQWY2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:EWH3QJX6WOE3H7FEQQZJLXQWY2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"58e3f10bf213cad5febf7cc3d2365373f30dc75fc5bffef930242e7ed39c50d4","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-01-17T16:05:29Z","title_canon_sha256":"d2ee4e108c6811fa6ecbe767a077bfb92c1e110117289fb4a82fd41dba2470fb"},"schema_version":"1.0","source":{"id":"cond-mat/0201309","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0201309","created_at":"2026-05-18T01:40:04Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0201309v2","created_at":"2026-05-18T01:40:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0201309","created_at":"2026-05-18T01:40:04Z"},{"alias_kind":"pith_short_12","alias_value":"EWH3QJX6WOE3","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"EWH3QJX6WOE3H7FE","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"EWH3QJX6","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:0f21fe3aa671e604c36ee7725c20804fef91674cca96057e812e1de9736bf6f7","target":"graph","created_at":"2026-05-18T01:40:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"F. Bailly, M. Widom, N. Destainville, R. Mosseri","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-01-17T16:05:29Z","title":"Arctic octahedron in three-dimensional rhombus tilings and related integer solid partitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0201309","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:52e5333735ac1370e6a23b0a398fc0bfe3d0f78cea9d7684c12bf71fcb994451","target":"record","created_at":"2026-05-18T01:40:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"58e3f10bf213cad5febf7cc3d2365373f30dc75fc5bffef930242e7ed39c50d4","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-01-17T16:05:29Z","title_canon_sha256":"d2ee4e108c6811fa6ecbe767a077bfb92c1e110117289fb4a82fd41dba2470fb"},"schema_version":"1.0","source":{"id":"cond-mat/0201309","kind":"arxiv","version":2}},"canonical_sha256":"258fb826feb389b3fca4843295de16c6b8176d821c813e9566e8f3226a8e7014","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"258fb826feb389b3fca4843295de16c6b8176d821c813e9566e8f3226a8e7014","first_computed_at":"2026-05-18T01:40:04.211089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:04.211089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dxu1hUgoypVdA0r2LP+QBLVj6/it9CpyD/evkzWbwiIq0pJTRsphOfTrh7VFp/Cp6GaLb4GjcW0OSPmQcp3GCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:04.211799Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0201309","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52e5333735ac1370e6a23b0a398fc0bfe3d0f78cea9d7684c12bf71fcb994451","sha256:0f21fe3aa671e604c36ee7725c20804fef91674cca96057e812e1de9736bf6f7"],"state_sha256":"740eade904694483452ebbbd34fb1a9bc085052648b6a589c95ea5a6c6cb46f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M2hVkqNRPryxw2gKWy33KeOS69aSfaoan1DcGk8NBgbFveCaMx7NW1/FJAFRyVmzCkEyxogG8S+iCJbiTk7RCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:06:32.549336Z","bundle_sha256":"85139407db0ccb304530ac6e08e29d30d9ba6f3c6e2b68fafa02842a4939b2e0"}}