{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FUDIQ3JPBKMWQUZOJK3OLTLB3H","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":"5c5b977d0e5f7e917844fe721fb78e972255edd175550789bed8bd53538aa938","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-03-12T16:35:59Z","title_canon_sha256":"e652c2ff04fb625932114861a3512d4f383eed3a67e5ee1d8a5bf3ed8f9367f6"},"schema_version":"1.0","source":{"id":"1103.2458","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.2458","created_at":"2026-05-18T04:18:33Z"},{"alias_kind":"arxiv_version","alias_value":"1103.2458v2","created_at":"2026-05-18T04:18:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.2458","created_at":"2026-05-18T04:18:33Z"},{"alias_kind":"pith_short_12","alias_value":"FUDIQ3JPBKMW","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FUDIQ3JPBKMWQUZO","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FUDIQ3JP","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:6e91e634ce4989f630e3a270de33060059f171a3b3fda5bc7b9ba34198985cd9","target":"graph","created_at":"2026-05-18T04:18:33Z","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":"Using conformal field theory, we perform a complete analysis of the chiral six-point correlation function C(z)=< \\phi_{1,2}\\phi_{1,2} \\Phi_{1/2,0}(z, \\bar z) \\phi_{1,2}\\phi_{1,2} >, with the four \\phi_{1,2} operators at the corners of an arbitrary rectangle, and the point z = x+iy in the interior. We calculate this for arbitrary central charge (equivalently, SLE parameter \\kappa > 0). C is of physical interest because percolation (\\kappa = 6) and many other two-dimensional critical points, it specifies the density at z of critical clusters conditioned to touch either or both vertical ends of t","authors_text":"Jacob J. H. Simmons, Peter Kleban","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-03-12T16:35:59Z","title":"Complete conformal field theory solution of a chiral six-point correlation function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2458","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":"sha256:5fae52adc45aea9c0cf03c1047aedab0670a67310a7901e8142034f7a0678f7e","target":"record","created_at":"2026-05-18T04:18:33Z","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":"5c5b977d0e5f7e917844fe721fb78e972255edd175550789bed8bd53538aa938","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-03-12T16:35:59Z","title_canon_sha256":"e652c2ff04fb625932114861a3512d4f383eed3a67e5ee1d8a5bf3ed8f9367f6"},"schema_version":"1.0","source":{"id":"1103.2458","kind":"arxiv","version":2}},"canonical_sha256":"2d06886d2f0a9968532e4ab6e5cd61d9f7d4d52640963b76cc8831e2082d7611","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d06886d2f0a9968532e4ab6e5cd61d9f7d4d52640963b76cc8831e2082d7611","first_computed_at":"2026-05-18T04:18:33.035168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:33.035168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nedh5zHfF9zEgn7jkL7OLyd6cXGRykZEYtKFI9Shq/AppKtGbShfxYLC2nco2jpOxdKgWncHqRcgu5bGkRH9Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:33.035849Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.2458","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fae52adc45aea9c0cf03c1047aedab0670a67310a7901e8142034f7a0678f7e","sha256:6e91e634ce4989f630e3a270de33060059f171a3b3fda5bc7b9ba34198985cd9"],"state_sha256":"8d6e30f88ef4f27205078b970d17758001fbcf1981b9ca2116c33b006d510f57"}