{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:YCUS4UXZXDOYE2IGUMNP6FFLOK","short_pith_number":"pith:YCUS4UXZ","schema_version":"1.0","canonical_sha256":"c0a92e52f9b8dd826906a31aff14ab72bd5243432ae0d55b7e1ad1182a1ec60c","source":{"kind":"arxiv","id":"1407.8163","version":2},"attestation_state":"computed","paper":{"title":"Percolation crossing probabilities in hexagons: a numerical study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Jacob J. H. Simmons, Robert M. Ziff, Steven M. Flores","submitted_at":"2014-07-30T19:12:49Z","abstract_excerpt":"In a recent article, one of the authors used $c=0$ logarithmic conformal field theory to predict crossing-probability formulas for percolation clusters inside a hexagon with free boundary conditions. In this article, we verify these predictions with high-precision computer simulations. Our simulations generate percolation-cluster perimeters with hull walks on a triangular lattice inside a hexagon. Each sample comprises two hull walks, and the order in which these walks strike the bottom and upper left/right sides of the hexagon determines the crossing configuration of the percolation sample. W"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1407.8163","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-30T19:12:49Z","cross_cats_sorted":[],"title_canon_sha256":"2258900eb983c0a8c3e62b54c1f21af3717d8792a9be255600bbf3b5ac81bc6e","abstract_canon_sha256":"1ed986cd642ac08d344f25e2cb21206379c08134c68933becd4d14e28b30ecc8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:27.197896Z","signature_b64":"lfkrzhefcAS2XsH+reFDnA/NESGY2iT0rnb52eLdrAWYGzR4CK/JyUGA92Xz5ceIARGpleiDa+AYm+Oi1l2WBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0a92e52f9b8dd826906a31aff14ab72bd5243432ae0d55b7e1ad1182a1ec60c","last_reissued_at":"2026-05-18T01:42:27.197419Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:27.197419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Percolation crossing probabilities in hexagons: a numerical study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Jacob J. H. Simmons, Robert M. Ziff, Steven M. Flores","submitted_at":"2014-07-30T19:12:49Z","abstract_excerpt":"In a recent article, one of the authors used $c=0$ logarithmic conformal field theory to predict crossing-probability formulas for percolation clusters inside a hexagon with free boundary conditions. In this article, we verify these predictions with high-precision computer simulations. Our simulations generate percolation-cluster perimeters with hull walks on a triangular lattice inside a hexagon. Each sample comprises two hull walks, and the order in which these walks strike the bottom and upper left/right sides of the hexagon determines the crossing configuration of the percolation sample. W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8163","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1407.8163","created_at":"2026-05-18T01:42:27.197494+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.8163v2","created_at":"2026-05-18T01:42:27.197494+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.8163","created_at":"2026-05-18T01:42:27.197494+00:00"},{"alias_kind":"pith_short_12","alias_value":"YCUS4UXZXDOY","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"YCUS4UXZXDOYE2IG","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"YCUS4UXZ","created_at":"2026-05-18T12:28:57.508820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YCUS4UXZXDOYE2IGUMNP6FFLOK","json":"https://pith.science/pith/YCUS4UXZXDOYE2IGUMNP6FFLOK.json","graph_json":"https://pith.science/api/pith-number/YCUS4UXZXDOYE2IGUMNP6FFLOK/graph.json","events_json":"https://pith.science/api/pith-number/YCUS4UXZXDOYE2IGUMNP6FFLOK/events.json","paper":"https://pith.science/paper/YCUS4UXZ"},"agent_actions":{"view_html":"https://pith.science/pith/YCUS4UXZXDOYE2IGUMNP6FFLOK","download_json":"https://pith.science/pith/YCUS4UXZXDOYE2IGUMNP6FFLOK.json","view_paper":"https://pith.science/paper/YCUS4UXZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.8163&json=true","fetch_graph":"https://pith.science/api/pith-number/YCUS4UXZXDOYE2IGUMNP6FFLOK/graph.json","fetch_events":"https://pith.science/api/pith-number/YCUS4UXZXDOYE2IGUMNP6FFLOK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YCUS4UXZXDOYE2IGUMNP6FFLOK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YCUS4UXZXDOYE2IGUMNP6FFLOK/action/storage_attestation","attest_author":"https://pith.science/pith/YCUS4UXZXDOYE2IGUMNP6FFLOK/action/author_attestation","sign_citation":"https://pith.science/pith/YCUS4UXZXDOYE2IGUMNP6FFLOK/action/citation_signature","submit_replication":"https://pith.science/pith/YCUS4UXZXDOYE2IGUMNP6FFLOK/action/replication_record"}},"created_at":"2026-05-18T01:42:27.197494+00:00","updated_at":"2026-05-18T01:42:27.197494+00:00"}