{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:UEWEYKY7Z4KRE2ITUWC6FAO5C6","short_pith_number":"pith:UEWEYKY7","schema_version":"1.0","canonical_sha256":"a12c4c2b1fcf15126913a585e281dd1794e4f2228e60df80b70b767731b89d8a","source":{"kind":"arxiv","id":"1703.00898","version":6},"attestation_state":"computed","paper":{"title":"Global and Local Multiple SLEs for $\\kappa \\leq 4$ and Connection Probabilities for Level Lines of GFF","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Eveliina Peltola, Hao Wu","submitted_at":"2017-03-02T18:54:05Z","abstract_excerpt":"This article pertains to the classification of multiple Schramm-Loewner evolutions (SLE). We construct the pure partition functions of multiple SLE$(\\kappa)$ with $\\kappa \\in (0,4]$ and relate them to certain extremal multiple SLE measures, thus verifying a conjecture from [BBK05, KP16]. We prove that the two approaches to construct multiple SLEs - the global, configurational construction of [KL07, Law09a] and the local, growth process construction of [BBK05, Dub07, Gra07, KP16] - agree. The pure partition functions are closely related to crossing probabilities in critical statistical mechanic"},"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":"1703.00898","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-03-02T18:54:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"2321bc181a4d48495ebc5d0163640080e5d1374bb6ea4cf849281c67905a56d2","abstract_canon_sha256":"a10e9393e2d230d0bf233bb70ab9fe729d544769d5e55fb5389c4969b2792b1c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:54.254961Z","signature_b64":"n56W2Aa7jnnIVlVF4vznZIq6B8hJtEuWg8Y71QBjuK6MBJHvic/AMKbSeZzZTOLgeoWE7cpw+9et4WkaiaqfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a12c4c2b1fcf15126913a585e281dd1794e4f2228e60df80b70b767731b89d8a","last_reissued_at":"2026-05-17T23:43:54.254359Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:54.254359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global and Local Multiple SLEs for $\\kappa \\leq 4$ and Connection Probabilities for Level Lines of GFF","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Eveliina Peltola, Hao Wu","submitted_at":"2017-03-02T18:54:05Z","abstract_excerpt":"This article pertains to the classification of multiple Schramm-Loewner evolutions (SLE). We construct the pure partition functions of multiple SLE$(\\kappa)$ with $\\kappa \\in (0,4]$ and relate them to certain extremal multiple SLE measures, thus verifying a conjecture from [BBK05, KP16]. We prove that the two approaches to construct multiple SLEs - the global, configurational construction of [KL07, Law09a] and the local, growth process construction of [BBK05, Dub07, Gra07, KP16] - agree. The pure partition functions are closely related to crossing probabilities in critical statistical mechanic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00898","kind":"arxiv","version":6},"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":"1703.00898","created_at":"2026-05-17T23:43:54.254469+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.00898v6","created_at":"2026-05-17T23:43:54.254469+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00898","created_at":"2026-05-17T23:43:54.254469+00:00"},{"alias_kind":"pith_short_12","alias_value":"UEWEYKY7Z4KR","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"UEWEYKY7Z4KRE2IT","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"UEWEYKY7","created_at":"2026-05-18T12:31:46.661854+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/UEWEYKY7Z4KRE2ITUWC6FAO5C6","json":"https://pith.science/pith/UEWEYKY7Z4KRE2ITUWC6FAO5C6.json","graph_json":"https://pith.science/api/pith-number/UEWEYKY7Z4KRE2ITUWC6FAO5C6/graph.json","events_json":"https://pith.science/api/pith-number/UEWEYKY7Z4KRE2ITUWC6FAO5C6/events.json","paper":"https://pith.science/paper/UEWEYKY7"},"agent_actions":{"view_html":"https://pith.science/pith/UEWEYKY7Z4KRE2ITUWC6FAO5C6","download_json":"https://pith.science/pith/UEWEYKY7Z4KRE2ITUWC6FAO5C6.json","view_paper":"https://pith.science/paper/UEWEYKY7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.00898&json=true","fetch_graph":"https://pith.science/api/pith-number/UEWEYKY7Z4KRE2ITUWC6FAO5C6/graph.json","fetch_events":"https://pith.science/api/pith-number/UEWEYKY7Z4KRE2ITUWC6FAO5C6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UEWEYKY7Z4KRE2ITUWC6FAO5C6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UEWEYKY7Z4KRE2ITUWC6FAO5C6/action/storage_attestation","attest_author":"https://pith.science/pith/UEWEYKY7Z4KRE2ITUWC6FAO5C6/action/author_attestation","sign_citation":"https://pith.science/pith/UEWEYKY7Z4KRE2ITUWC6FAO5C6/action/citation_signature","submit_replication":"https://pith.science/pith/UEWEYKY7Z4KRE2ITUWC6FAO5C6/action/replication_record"}},"created_at":"2026-05-17T23:43:54.254469+00:00","updated_at":"2026-05-17T23:43:54.254469+00:00"}