{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:KI7ZN5RTWYTPK6PDUCA4JWJTEB","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":"766cb51b5b7f96dd0e3765fb2b2d1541c87618456c5d1d44fd2db3ee3d6e9d81","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.PR","submitted_at":"2002-04-23T15:51:23Z","title_canon_sha256":"131a69df5df1e5467d9fb78f627e34c4c6cd2d23bda582deed25326cb21dfcac"},"schema_version":"1.0","source":{"id":"math/0204277","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0204277","created_at":"2026-07-04T14:47:59Z"},{"alias_kind":"arxiv_version","alias_value":"math/0204277v2","created_at":"2026-07-04T14:47:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0204277","created_at":"2026-07-04T14:47:59Z"},{"alias_kind":"pith_short_12","alias_value":"KI7ZN5RTWYTP","created_at":"2026-07-04T14:47:59Z"},{"alias_kind":"pith_short_16","alias_value":"KI7ZN5RTWYTPK6PD","created_at":"2026-07-04T14:47:59Z"},{"alias_kind":"pith_short_8","alias_value":"KI7ZN5RT","created_at":"2026-07-04T14:47:59Z"}],"graph_snapshots":[{"event_id":"sha256:98be477b63e07beaf864784c91061259a01d5607b05bc82d31ae6dda74949deb","target":"graph","created_at":"2026-07-04T14:47:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0204277/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A planar self-avoiding walk (SAW) is a nearest neighbor random walk path in the square lattice with no self-intersection. A planar self-avoiding polygon (SAP) is a loop with no self-intersection. In this paper we present conjectures for the scaling limit of the uniform measures on these objects. The conjectures are based on recent results on the stochastic Loewner evolution and non-disconnecting Brownian motions. New heuristic derivations are given for the critical exponents for SAWs and SAPs.","authors_text":"Gregory F. Lawler, Oded Schramm, Wendelin Werner","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"math.PR","submitted_at":"2002-04-23T15:51:23Z","title":"On the scaling limit of planar self-avoiding walk"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0204277","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:b2c73359c3ee6b3f4d2eda5566e8ab0c4a898ac47eaccf1dbb9acb2606f4df11","target":"record","created_at":"2026-07-04T14:47:59Z","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":"766cb51b5b7f96dd0e3765fb2b2d1541c87618456c5d1d44fd2db3ee3d6e9d81","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.PR","submitted_at":"2002-04-23T15:51:23Z","title_canon_sha256":"131a69df5df1e5467d9fb78f627e34c4c6cd2d23bda582deed25326cb21dfcac"},"schema_version":"1.0","source":{"id":"math/0204277","kind":"arxiv","version":2}},"canonical_sha256":"523f96f633b626f579e3a081c4d9332064c76c9949f2807b1e19d52b748329f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"523f96f633b626f579e3a081c4d9332064c76c9949f2807b1e19d52b748329f9","first_computed_at":"2026-07-04T14:47:59.544690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:47:59.544690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"16ezO9tfeYdDW0tb51uZk1LeiLKwZ6lu5bMjqNwy4ZcveRvXpgaHMsGtjMW0JiR/Mv7gOWgjAjyJQpTL2UMFBA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:47:59.545027Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0204277","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2c73359c3ee6b3f4d2eda5566e8ab0c4a898ac47eaccf1dbb9acb2606f4df11","sha256:98be477b63e07beaf864784c91061259a01d5607b05bc82d31ae6dda74949deb"],"state_sha256":"00c6e723876fdc228508515997e24d7462d69974d6f4292780bf49368b8f8697"}