{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NKVRBE2TBCJFCTMUISPSTFONQS","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":"31e1048916d4ae966431a84f33032b0162f36d874c4d1de475da90877b710061","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-02-26T13:21:21Z","title_canon_sha256":"b3829b75e628ea01a0e3df20b67b8c588f62df64717d4dce37f074045e338082"},"schema_version":"1.0","source":{"id":"1402.6535","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.6535","created_at":"2026-05-18T02:46:16Z"},{"alias_kind":"arxiv_version","alias_value":"1402.6535v2","created_at":"2026-05-18T02:46:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.6535","created_at":"2026-05-18T02:46:16Z"},{"alias_kind":"pith_short_12","alias_value":"NKVRBE2TBCJF","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NKVRBE2TBCJFCTMU","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NKVRBE2T","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:476d3df6536c720004eac959f96e51ad484ded1f16086fa0bcbda148d2aca921","target":"graph","created_at":"2026-05-18T02:46:16Z","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":"In three-dimensional critical percolation we study numerically the number of clusters, $N_{\\Gamma}$, which intersect a given subset of bonds, $\\Gamma$. If $\\Gamma$ represents the interface between a subsystem and the environment, then $N_{\\Gamma}$ is related to the entanglement entropy of the critical diluted quantum Ising model. Due to corners in $\\Gamma$ there are singular corrections to $N_{\\Gamma}$, which scale as $b_{\\Gamma} \\ln L_{\\Gamma}$, $L_{\\Gamma}$ being the linear size of $\\Gamma$ and the prefactor, $b_{\\Gamma}$, is found to be universal. This result indicates that logarithmic fini","authors_text":"Ferenc Igloi, Istvan A. Kovacs","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-02-26T13:21:21Z","title":"Corner contribution to percolation cluster numbers in three dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.6535","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:a0d15706c5e6e8f7b333dc0faf4bae270e24ab08ed05a4133af92379c0412d35","target":"record","created_at":"2026-05-18T02:46:16Z","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":"31e1048916d4ae966431a84f33032b0162f36d874c4d1de475da90877b710061","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-02-26T13:21:21Z","title_canon_sha256":"b3829b75e628ea01a0e3df20b67b8c588f62df64717d4dce37f074045e338082"},"schema_version":"1.0","source":{"id":"1402.6535","kind":"arxiv","version":2}},"canonical_sha256":"6aab1093530892514d94449f2995cd84bd851a17fdb19003b7d89f1d0ba323b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6aab1093530892514d94449f2995cd84bd851a17fdb19003b7d89f1d0ba323b2","first_computed_at":"2026-05-18T02:46:16.150390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:16.150390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3zK/VoLiGMFj1KPCwNyxej5N4BmZu1M5T9/AyDHvzrC2bRFQgAhYR1vSFbbokjncOSkf0IzJxwum5XxTyFqwBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:16.150932Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.6535","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0d15706c5e6e8f7b333dc0faf4bae270e24ab08ed05a4133af92379c0412d35","sha256:476d3df6536c720004eac959f96e51ad484ded1f16086fa0bcbda148d2aca921"],"state_sha256":"1e0f6bfd388b5aea438a3917bc027222f4d721ac28054aebea2106dc17a86577"}