{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:K3OKN3FWRX2B6ANBMNSD7BXHEL","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":"b346035735193a2d7fba1bdf1dab00b492074bf1a64623ae3ddd1d6f8a742e3b","cross_cats_sorted":["math.PR"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-10-27T14:05:28Z","title_canon_sha256":"b5f45d7ec35691f45b7a29210f7eb4df8d7ffecdcf053775aefafd425d7a0da8"},"schema_version":"1.0","source":{"id":"cond-mat/0510740","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0510740","created_at":"2026-05-18T01:39:49Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0510740v1","created_at":"2026-05-18T01:39:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0510740","created_at":"2026-05-18T01:39:49Z"},{"alias_kind":"pith_short_12","alias_value":"K3OKN3FWRX2B","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"K3OKN3FWRX2B6ANB","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"K3OKN3FW","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:c2df9fad5beb3f724bb9d158b258b4497de809e8ed571db56f66360df64f1124","target":"graph","created_at":"2026-05-18T01:39:49Z","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 analyze the geometry of scaling limits of near-critical 2D percolation, i.e., for $p=p_c+\\lambda\\delta^{1/\\nu}$, with $\\nu=4/3$, as the lattice spacing $\\delta \\to 0$. Our proposed framework extends previous analyses for $p=p_c$, based on $SLE_6$. It combines the continuum nonsimple loop process describing the full scaling limit at criticality with a Poissonian process for marking double (touching) points of that (critical) loop process. The double points are exactly the continuum limits of \"macroscopically pivotal\" lattice sites and the marked ones are those that actually change state as $","authors_text":"C. M. Newman, F. Camia, L. R. G. Fontes","cross_cats":["math.PR"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-10-27T14:05:28Z","title":"The Scaling Limit Geometry of Near-Critical 2D Percolation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0510740","kind":"arxiv","version":1},"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":"sha256:99963e6b5bbda0ce17e098b885ec79e616d2904a0d89d0703a98fce83a0f4be2","target":"record","created_at":"2026-05-18T01:39:49Z","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":"b346035735193a2d7fba1bdf1dab00b492074bf1a64623ae3ddd1d6f8a742e3b","cross_cats_sorted":["math.PR"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-10-27T14:05:28Z","title_canon_sha256":"b5f45d7ec35691f45b7a29210f7eb4df8d7ffecdcf053775aefafd425d7a0da8"},"schema_version":"1.0","source":{"id":"cond-mat/0510740","kind":"arxiv","version":1}},"canonical_sha256":"56dca6ecb68df41f01a163643f86e722cb547f27e72cf0fd439e601a03327096","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56dca6ecb68df41f01a163643f86e722cb547f27e72cf0fd439e601a03327096","first_computed_at":"2026-05-18T01:39:49.506164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:49.506164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"42TlgOLUQWyZY852NtqaXngRSzmcCeveQ5j91wXAO9RjOc8EKjFBh6eGOEe6PVcb6Gg3Rp9j9zDVYlxT5CbZDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:49.507076Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0510740","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99963e6b5bbda0ce17e098b885ec79e616d2904a0d89d0703a98fce83a0f4be2","sha256:c2df9fad5beb3f724bb9d158b258b4497de809e8ed571db56f66360df64f1124"],"state_sha256":"8231f54a8dd2672154d201dcbcce0631564802cc7d896fc5b808dd5d3909e77f"}