{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:F2RH5G4T3ONTKSFJ6O5KKEADL7","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":"6677d0dd381c40e5d97e5733b9abc826f2b504f6253ea3a5f5dc8878647c4f65","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-06-06T17:56:32Z","title_canon_sha256":"bd38a1d7824f4373b6e78e46816f41594dd1452f2f1adb671a3793f46d6c6d65"},"schema_version":"1.0","source":{"id":"1806.02330","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.02330","created_at":"2026-05-17T23:57:46Z"},{"alias_kind":"arxiv_version","alias_value":"1806.02330v2","created_at":"2026-05-17T23:57:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.02330","created_at":"2026-05-17T23:57:46Z"},{"alias_kind":"pith_short_12","alias_value":"F2RH5G4T3ONT","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"F2RH5G4T3ONTKSFJ","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"F2RH5G4T","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:b052f3c521a8fba1f6aeefb147795f878ab81b63f00795bd9a9d8b81bbd7f6cd","target":"graph","created_at":"2026-05-17T23:57:46Z","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 conjecture an exact form for an universal ratio of four-point cluster connectivities in the critical two-dimensional $Q$-color Potts model. We also provide analogous results for the limit $Q\\rightarrow 1$ that corresponds to percolation where the observable has a logarithmic singularity. Our conjectures are tested against Monte Carlo simulations showing excellent agreement for $Q=1,2,3$.","authors_text":"Giacomo Gori, Jacopo Viti","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-06-06T17:56:32Z","title":"Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.02330","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":"sha256:06bad588261466198fd9c899965f8ef138e2ca776fd4267f753fe680343fc5dc","target":"record","created_at":"2026-05-17T23:57:46Z","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":"6677d0dd381c40e5d97e5733b9abc826f2b504f6253ea3a5f5dc8878647c4f65","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-06-06T17:56:32Z","title_canon_sha256":"bd38a1d7824f4373b6e78e46816f41594dd1452f2f1adb671a3793f46d6c6d65"},"schema_version":"1.0","source":{"id":"1806.02330","kind":"arxiv","version":2}},"canonical_sha256":"2ea27e9b93db9b3548a9f3baa510035fc570ee6d4fe652aa0f8fc167789959a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ea27e9b93db9b3548a9f3baa510035fc570ee6d4fe652aa0f8fc167789959a7","first_computed_at":"2026-05-17T23:57:46.807328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:46.807328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pVaNbJLx/LGytYotvuL75NNE2pkW5qWjGMOMpqQ5VZAv1hctPQymy/KfOjVuWXUu0i8xZfCtvD/U3QB26RbqCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:46.807878Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.02330","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06bad588261466198fd9c899965f8ef138e2ca776fd4267f753fe680343fc5dc","sha256:b052f3c521a8fba1f6aeefb147795f878ab81b63f00795bd9a9d8b81bbd7f6cd"],"state_sha256":"aafe0ca6c1f1c8401be27f59d6a6aecd69b0684195c8bb58e94c0be997d48897"}