{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:L6GIK6CJP3STO6CH4QUJB742IP","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":"ed4d3abc46b4630d221dc30e2d50688d6f198cc21f883edb38f67c34a39ce013","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-22T14:55:16Z","title_canon_sha256":"f6fb5b7bf38253035869fe17390f3c1be55d62a702b0d8f74acc47104aad26fe"},"schema_version":"1.0","source":{"id":"1409.6192","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6192","created_at":"2026-05-18T01:34:25Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6192v2","created_at":"2026-05-18T01:34:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6192","created_at":"2026-05-18T01:34:25Z"},{"alias_kind":"pith_short_12","alias_value":"L6GIK6CJP3ST","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"L6GIK6CJP3STO6CH","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"L6GIK6CJ","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:c924ec3e7da9be0cdc1a6290da23b9acf1c57af82ec9110e1d3937292156f8cb","target":"graph","created_at":"2026-05-18T01:34:25Z","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":"Independent random monomer activities are considered on a mean-feld monomer-dimer model. Under very general conditions on the randomness the model is shown to have a self-averaging pressure density that obeys a solvable variational principle. The dimer density is exactly computed in the thermodynamic limit and shown to be a smooth function.","authors_text":"Diego Alberici, Emanuele Mingione, Pierluigi Contucci","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-22T14:55:16Z","title":"A mean-field monomer-dimer model with random monomer activities. Exact solution and rigorous results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6192","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:ce1379391c059104243d010c1b4b5c31375a1f07fcc2d88277e3b7eb3387aace","target":"record","created_at":"2026-05-18T01:34:25Z","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":"ed4d3abc46b4630d221dc30e2d50688d6f198cc21f883edb38f67c34a39ce013","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-22T14:55:16Z","title_canon_sha256":"f6fb5b7bf38253035869fe17390f3c1be55d62a702b0d8f74acc47104aad26fe"},"schema_version":"1.0","source":{"id":"1409.6192","kind":"arxiv","version":2}},"canonical_sha256":"5f8c8578497ee5377847e42890ff9a43e441ecaa4fa8c622d5007848960a96bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f8c8578497ee5377847e42890ff9a43e441ecaa4fa8c622d5007848960a96bc","first_computed_at":"2026-05-18T01:34:25.562667Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:25.562667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JxVs/BFVLIKdO/++K1DWN6STHOEokrccVasLgTxIPWSkq32G8U3aFkiIR3Eaf/k+B5mgZKxaKfPE2mxvxpotAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:25.563220Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.6192","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce1379391c059104243d010c1b4b5c31375a1f07fcc2d88277e3b7eb3387aace","sha256:c924ec3e7da9be0cdc1a6290da23b9acf1c57af82ec9110e1d3937292156f8cb"],"state_sha256":"80c1197fcd3c6a6bbc8e7011226899bf579419d45ff3765e41bf03fc1498d63a"}