{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MGZAUEBQSSVDWXUCORZWH6SSCP","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":"5e88cc5cc7ec872e2843a0b08ace0786536cdb78758acd711a194e238854284a","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.soft","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-31T21:30:16Z","title_canon_sha256":"3f2304c2afb6ab58166723bc5f8cbc6686ad29f108858442e3bfdce3e9f1ec01"},"schema_version":"1.0","source":{"id":"1408.0031","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.0031","created_at":"2026-05-18T02:44:25Z"},{"alias_kind":"arxiv_version","alias_value":"1408.0031v1","created_at":"2026-05-18T02:44:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0031","created_at":"2026-05-18T02:44:25Z"},{"alias_kind":"pith_short_12","alias_value":"MGZAUEBQSSVD","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MGZAUEBQSSVDWXUC","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MGZAUEBQ","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:0464a68727c3eef25776901b701f7df31801d16c47fad351135abbafba4b7a22","target":"graph","created_at":"2026-05-18T02:44:25Z","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":"Two theories for associating fluids recently used to study clustering in models for self-assembling patchy particles, Wertheim's and Bjerrum-Tani-Henderson theories, are carefully compared. We show that, for a fluid allowing only for dimerization, Wertheim theory is equivalent to the Bjerrum-Tani-Henderson theory neglecting intercluster correlations. Nonetheless, while the former theory is able to account for percolation and condensation, the latter is not. For the Bjerrum-Tani-Henderson theory we also rigorously prove the uniqueness of the solution for the cluster's concentrations and the red","authors_text":"Giorgio Pastore, Riccardo Fantoni","cross_cats":["cond-mat.mtrl-sci","cond-mat.soft","physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-31T21:30:16Z","title":"Wertheim and Bjerrum-Tani-Henderson theories for associating fluids: a critical assessment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0031","kind":"arxiv","version":1},"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":"sha256:6b6eeb7820f7767da13c2bced0fe7c35e880d6a898a6c7451ade33b45f18fb9e","target":"record","created_at":"2026-05-18T02:44:25Z","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":"5e88cc5cc7ec872e2843a0b08ace0786536cdb78758acd711a194e238854284a","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.soft","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-31T21:30:16Z","title_canon_sha256":"3f2304c2afb6ab58166723bc5f8cbc6686ad29f108858442e3bfdce3e9f1ec01"},"schema_version":"1.0","source":{"id":"1408.0031","kind":"arxiv","version":1}},"canonical_sha256":"61b20a103094aa3b5e82747363fa5213de0f83154cddcf67353eb100004ab1c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61b20a103094aa3b5e82747363fa5213de0f83154cddcf67353eb100004ab1c1","first_computed_at":"2026-05-18T02:44:25.383247Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:25.383247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G9aT6AEmlDzVGV04ErpTb0eCy4oKcn/WsOmy8WQkhQ2oXSxmZaZnP4GLyljhFkAZW65grMXmCxQWQlDbIEZaAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:25.383605Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.0031","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b6eeb7820f7767da13c2bced0fe7c35e880d6a898a6c7451ade33b45f18fb9e","sha256:0464a68727c3eef25776901b701f7df31801d16c47fad351135abbafba4b7a22"],"state_sha256":"09da48e92a1bd93ed43ab1a1d5932f17f40ef5bf0a5bbacdfabbecc7e6d90af9"}