{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:5PPZWN76WLDWVYJAFH5L54FO6H","short_pith_number":"pith:5PPZWN76","canonical_record":{"source":{"id":"0912.2062","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-10T18:14:39Z","cross_cats_sorted":[],"title_canon_sha256":"2a89c9bd22e65621cbc91217d935e404c2584b890c7c6d2dd5ec769d2ecdf56a","abstract_canon_sha256":"d736098a0c76de6be8a35fb2792ab16446ab7c74653f1188b52167a82c63fdc1"},"schema_version":"1.0"},"canonical_sha256":"ebdf9b37feb2c76ae12029fabef0aef1c45e6e54f0f657b7747f580fd13f4b35","source":{"kind":"arxiv","id":"0912.2062","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.2062","created_at":"2026-05-18T04:12:34Z"},{"alias_kind":"arxiv_version","alias_value":"0912.2062v2","created_at":"2026-05-18T04:12:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.2062","created_at":"2026-05-18T04:12:34Z"},{"alias_kind":"pith_short_12","alias_value":"5PPZWN76WLDW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"5PPZWN76WLDWVYJA","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"5PPZWN76","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:5PPZWN76WLDWVYJAFH5L54FO6H","target":"record","payload":{"canonical_record":{"source":{"id":"0912.2062","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-10T18:14:39Z","cross_cats_sorted":[],"title_canon_sha256":"2a89c9bd22e65621cbc91217d935e404c2584b890c7c6d2dd5ec769d2ecdf56a","abstract_canon_sha256":"d736098a0c76de6be8a35fb2792ab16446ab7c74653f1188b52167a82c63fdc1"},"schema_version":"1.0"},"canonical_sha256":"ebdf9b37feb2c76ae12029fabef0aef1c45e6e54f0f657b7747f580fd13f4b35","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:34.084342Z","signature_b64":"3WOgZEh9FVRGo9ytWVRQ27IbjGQ3NX9BYXj+L5P/L9LKtzS4GcbG8zPbkXilMpypzNz/qjYNmjJAHJSPjYl7AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ebdf9b37feb2c76ae12029fabef0aef1c45e6e54f0f657b7747f580fd13f4b35","last_reissued_at":"2026-05-18T04:12:34.083836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:34.083836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.2062","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":"2026-05-18T04:12:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uTzB5LRreyW2OOkHPg0GRqgEhxdHu8t7xeRR7bjJMMVUrziiVoVv3DcKinGNTpbFF3E3VgtpQEzdci1/Pw7KDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:04:52.700659Z"},"content_sha256":"12da4be0d126b5c5214e8f6b4dbe0abf96f9ccb44ae741956d1c6d304385477f","schema_version":"1.0","event_id":"sha256:12da4be0d126b5c5214e8f6b4dbe0abf96f9ccb44ae741956d1c6d304385477f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:5PPZWN76WLDWVYJAFH5L54FO6H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solution of an associating lattice gas model with density anomaly on a Husimi lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"J. F. Stilck, M. A. A. Barbosa, T. J. Oliveira","submitted_at":"2009-12-10T18:14:39Z","abstract_excerpt":"We study a model of a lattice gas with orientational degrees of freedom which resemble the formation of hydrogen bonds between the molecules. In this model, which is the simplified version of the Henriques-Barbosa model, no distinction is made between donors and acceptors in the bonding arms. We solve the model in the grand-canonical ensemble on a Husimi lattice built with hexagonal plaquettes with a central site. The ground-state of the model, which was originally defined on the triangular lattice, is exactly reproduced by the solution on this Husimi lattice. In the phase diagram, one gas and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.2062","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":"2026-05-18T04:12:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aBOyQtzZHM7a39e4HGqCR+M5fStb3NTtQCiiHa+IiGOukSU+jWZR0N+xD63aEmndvbrTyHGAH+Qt5u6uXrVzAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:04:52.701003Z"},"content_sha256":"727915a9131cc85bf2abec2b9274b6caf6175c99311cf6e0b7e3bd04888d7e93","schema_version":"1.0","event_id":"sha256:727915a9131cc85bf2abec2b9274b6caf6175c99311cf6e0b7e3bd04888d7e93"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5PPZWN76WLDWVYJAFH5L54FO6H/bundle.json","state_url":"https://pith.science/pith/5PPZWN76WLDWVYJAFH5L54FO6H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5PPZWN76WLDWVYJAFH5L54FO6H/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":"2026-05-28T11:04:52Z","links":{"resolver":"https://pith.science/pith/5PPZWN76WLDWVYJAFH5L54FO6H","bundle":"https://pith.science/pith/5PPZWN76WLDWVYJAFH5L54FO6H/bundle.json","state":"https://pith.science/pith/5PPZWN76WLDWVYJAFH5L54FO6H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5PPZWN76WLDWVYJAFH5L54FO6H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:5PPZWN76WLDWVYJAFH5L54FO6H","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":"d736098a0c76de6be8a35fb2792ab16446ab7c74653f1188b52167a82c63fdc1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-10T18:14:39Z","title_canon_sha256":"2a89c9bd22e65621cbc91217d935e404c2584b890c7c6d2dd5ec769d2ecdf56a"},"schema_version":"1.0","source":{"id":"0912.2062","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.2062","created_at":"2026-05-18T04:12:34Z"},{"alias_kind":"arxiv_version","alias_value":"0912.2062v2","created_at":"2026-05-18T04:12:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.2062","created_at":"2026-05-18T04:12:34Z"},{"alias_kind":"pith_short_12","alias_value":"5PPZWN76WLDW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"5PPZWN76WLDWVYJA","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"5PPZWN76","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:727915a9131cc85bf2abec2b9274b6caf6175c99311cf6e0b7e3bd04888d7e93","target":"graph","created_at":"2026-05-18T04:12:34Z","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":"We study a model of a lattice gas with orientational degrees of freedom which resemble the formation of hydrogen bonds between the molecules. In this model, which is the simplified version of the Henriques-Barbosa model, no distinction is made between donors and acceptors in the bonding arms. We solve the model in the grand-canonical ensemble on a Husimi lattice built with hexagonal plaquettes with a central site. The ground-state of the model, which was originally defined on the triangular lattice, is exactly reproduced by the solution on this Husimi lattice. In the phase diagram, one gas and","authors_text":"J. F. Stilck, M. A. A. Barbosa, T. J. Oliveira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-10T18:14:39Z","title":"Solution of an associating lattice gas model with density anomaly on a Husimi lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.2062","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":"sha256:12da4be0d126b5c5214e8f6b4dbe0abf96f9ccb44ae741956d1c6d304385477f","target":"record","created_at":"2026-05-18T04:12:34Z","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":"d736098a0c76de6be8a35fb2792ab16446ab7c74653f1188b52167a82c63fdc1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-10T18:14:39Z","title_canon_sha256":"2a89c9bd22e65621cbc91217d935e404c2584b890c7c6d2dd5ec769d2ecdf56a"},"schema_version":"1.0","source":{"id":"0912.2062","kind":"arxiv","version":2}},"canonical_sha256":"ebdf9b37feb2c76ae12029fabef0aef1c45e6e54f0f657b7747f580fd13f4b35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebdf9b37feb2c76ae12029fabef0aef1c45e6e54f0f657b7747f580fd13f4b35","first_computed_at":"2026-05-18T04:12:34.083836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:34.083836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3WOgZEh9FVRGo9ytWVRQ27IbjGQ3NX9BYXj+L5P/L9LKtzS4GcbG8zPbkXilMpypzNz/qjYNmjJAHJSPjYl7AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:34.084342Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.2062","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12da4be0d126b5c5214e8f6b4dbe0abf96f9ccb44ae741956d1c6d304385477f","sha256:727915a9131cc85bf2abec2b9274b6caf6175c99311cf6e0b7e3bd04888d7e93"],"state_sha256":"e9ce35de058f3bf199a257eeb471a5991975f2ade0f2a6c84bde0d283e8e887d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rZcuZvOTQ532PYw9BsJaMEqdO487MjwtnKnLOvMPcrApHjVsfUT8PwMcHgCVDRfOwjHe4Jn8M9ryeKNICaz/DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T11:04:52.703070Z","bundle_sha256":"58dc82cb8abf731be9264c6275d6fec5e3310be17bf5b77daee2fa12413c081a"}}