{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:V5Z7IQAN3TFDOIQB44YPG6LLLW","short_pith_number":"pith:V5Z7IQAN","schema_version":"1.0","canonical_sha256":"af73f4400ddcca372201e730f3796b5da9ab5b4fc89403bb8bcc0185a7d41a3d","source":{"kind":"arxiv","id":"1003.2909","version":2},"attestation_state":"computed","paper":{"title":"Exact sampling of self-avoiding paths via discrete Schramm-Loewner evolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Marco Gherardi","submitted_at":"2010-03-15T12:16:57Z","abstract_excerpt":"We present an algorithm, based on the iteration of conformal maps, that produces independent samples of self-avoiding paths in the plane. It is a discrete process approximating radial Schramm-Loewner evolution growing to infinity. We focus on the problem of reproducing the parametrization corresponding to that of lattice models, namely self-avoiding walks on the lattice, and we propose a strategy that gives rise to discrete paths where consecutive points lie an approximately constant distance apart from each other. This new method allows us to tackle two non-trivial features of self-avoiding 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":"1003.2909","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-03-15T12:16:57Z","cross_cats_sorted":[],"title_canon_sha256":"d92c1d981e358f91239b757e5081efa3d8069c8c58cfa8dc56635e5ea499b8c9","abstract_canon_sha256":"3bd17018966063842166bc084d85463c400b77e0a64528d82162a11c600922a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:15.494105Z","signature_b64":"gq1YePJavO9w9ItOHzFJ3HlKyjDBTdZ2MSgKIi9MU2oI9HKORNB1j7QoonGl7gkVYKrMJXNb0aEFwi/lxL87BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af73f4400ddcca372201e730f3796b5da9ab5b4fc89403bb8bcc0185a7d41a3d","last_reissued_at":"2026-05-18T04:38:15.493497Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:15.493497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact sampling of self-avoiding paths via discrete Schramm-Loewner evolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Marco Gherardi","submitted_at":"2010-03-15T12:16:57Z","abstract_excerpt":"We present an algorithm, based on the iteration of conformal maps, that produces independent samples of self-avoiding paths in the plane. It is a discrete process approximating radial Schramm-Loewner evolution growing to infinity. We focus on the problem of reproducing the parametrization corresponding to that of lattice models, namely self-avoiding walks on the lattice, and we propose a strategy that gives rise to discrete paths where consecutive points lie an approximately constant distance apart from each other. This new method allows us to tackle two non-trivial features of self-avoiding w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2909","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":"1003.2909","created_at":"2026-05-18T04:38:15.493582+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.2909v2","created_at":"2026-05-18T04:38:15.493582+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2909","created_at":"2026-05-18T04:38:15.493582+00:00"},{"alias_kind":"pith_short_12","alias_value":"V5Z7IQAN3TFD","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"V5Z7IQAN3TFDOIQB","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"V5Z7IQAN","created_at":"2026-05-18T12:26:15.391820+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/V5Z7IQAN3TFDOIQB44YPG6LLLW","json":"https://pith.science/pith/V5Z7IQAN3TFDOIQB44YPG6LLLW.json","graph_json":"https://pith.science/api/pith-number/V5Z7IQAN3TFDOIQB44YPG6LLLW/graph.json","events_json":"https://pith.science/api/pith-number/V5Z7IQAN3TFDOIQB44YPG6LLLW/events.json","paper":"https://pith.science/paper/V5Z7IQAN"},"agent_actions":{"view_html":"https://pith.science/pith/V5Z7IQAN3TFDOIQB44YPG6LLLW","download_json":"https://pith.science/pith/V5Z7IQAN3TFDOIQB44YPG6LLLW.json","view_paper":"https://pith.science/paper/V5Z7IQAN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.2909&json=true","fetch_graph":"https://pith.science/api/pith-number/V5Z7IQAN3TFDOIQB44YPG6LLLW/graph.json","fetch_events":"https://pith.science/api/pith-number/V5Z7IQAN3TFDOIQB44YPG6LLLW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V5Z7IQAN3TFDOIQB44YPG6LLLW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V5Z7IQAN3TFDOIQB44YPG6LLLW/action/storage_attestation","attest_author":"https://pith.science/pith/V5Z7IQAN3TFDOIQB44YPG6LLLW/action/author_attestation","sign_citation":"https://pith.science/pith/V5Z7IQAN3TFDOIQB44YPG6LLLW/action/citation_signature","submit_replication":"https://pith.science/pith/V5Z7IQAN3TFDOIQB44YPG6LLLW/action/replication_record"}},"created_at":"2026-05-18T04:38:15.493582+00:00","updated_at":"2026-05-18T04:38:15.493582+00:00"}