{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:SOZGG3TP647LXV5WZQXK4A2X56","short_pith_number":"pith:SOZGG3TP","schema_version":"1.0","canonical_sha256":"93b2636e6ff73ebbd7b6cc2eae0357efb08eb6a14fb5002e3822cda133266efe","source":{"kind":"arxiv","id":"1604.08276","version":1},"attestation_state":"computed","paper":{"title":"Stochastic Komatu-Loewner evolutions and SLEs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Hiroyuki Suzuki, Masatoshi Fukushima, Zhen-Qing Chen","submitted_at":"2016-04-28T00:50:37Z","abstract_excerpt":"Let $D={\\mathbb H}\\setminus \\bigcup_{j=1}^N C_j$ be a standard slit domain, where ${\\mathbb H}$ is the upper half plane and $C_j,1\\le j\\le N,$ are mutually disjoint horizontal line segments in ${\\mathbb H}$. A stochastic Komatu-Loewner evolution denoted by ${\\rm SKLE}_{\\alpha,b}$ has been introduced in \\cite{CF} as a family $\\{F_t\\}$ of random growing hulls with $F_t\\subset D$ driven by a diffusion process $\\xi(t)$ on $\\partial {\\mathbb H}$ that is determined by certain continuous homogeneous functions $\\alpha$ and $b$ defined on the space ${\\cal S}$ of all labelled standard slit domains. We a"},"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":"1604.08276","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-04-28T00:50:37Z","cross_cats_sorted":[],"title_canon_sha256":"16ee27f17c4cb533b2aa684a1ef2a34d2ad44ac14d1d61a34206c3be0ac754a7","abstract_canon_sha256":"0a0e4b8e4a3f4bf0138ea1ad70de020bc0da744887c5913537c559f321423eaa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:04.396207Z","signature_b64":"OK7FMnDbUXzEslOeUuD76ioZ6SwH2DkaSSPyM1j9lszreQb4lH406HXWQzlCR/oRuKQmwoE9Cmc4WP8qwfH3AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93b2636e6ff73ebbd7b6cc2eae0357efb08eb6a14fb5002e3822cda133266efe","last_reissued_at":"2026-05-18T01:16:04.395534Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:04.395534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic Komatu-Loewner evolutions and SLEs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Hiroyuki Suzuki, Masatoshi Fukushima, Zhen-Qing Chen","submitted_at":"2016-04-28T00:50:37Z","abstract_excerpt":"Let $D={\\mathbb H}\\setminus \\bigcup_{j=1}^N C_j$ be a standard slit domain, where ${\\mathbb H}$ is the upper half plane and $C_j,1\\le j\\le N,$ are mutually disjoint horizontal line segments in ${\\mathbb H}$. A stochastic Komatu-Loewner evolution denoted by ${\\rm SKLE}_{\\alpha,b}$ has been introduced in \\cite{CF} as a family $\\{F_t\\}$ of random growing hulls with $F_t\\subset D$ driven by a diffusion process $\\xi(t)$ on $\\partial {\\mathbb H}$ that is determined by certain continuous homogeneous functions $\\alpha$ and $b$ defined on the space ${\\cal S}$ of all labelled standard slit domains. We a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.08276","kind":"arxiv","version":1},"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":"1604.08276","created_at":"2026-05-18T01:16:04.395653+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.08276v1","created_at":"2026-05-18T01:16:04.395653+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.08276","created_at":"2026-05-18T01:16:04.395653+00:00"},{"alias_kind":"pith_short_12","alias_value":"SOZGG3TP647L","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"SOZGG3TP647LXV5W","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"SOZGG3TP","created_at":"2026-05-18T12:30:44.179134+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/SOZGG3TP647LXV5WZQXK4A2X56","json":"https://pith.science/pith/SOZGG3TP647LXV5WZQXK4A2X56.json","graph_json":"https://pith.science/api/pith-number/SOZGG3TP647LXV5WZQXK4A2X56/graph.json","events_json":"https://pith.science/api/pith-number/SOZGG3TP647LXV5WZQXK4A2X56/events.json","paper":"https://pith.science/paper/SOZGG3TP"},"agent_actions":{"view_html":"https://pith.science/pith/SOZGG3TP647LXV5WZQXK4A2X56","download_json":"https://pith.science/pith/SOZGG3TP647LXV5WZQXK4A2X56.json","view_paper":"https://pith.science/paper/SOZGG3TP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.08276&json=true","fetch_graph":"https://pith.science/api/pith-number/SOZGG3TP647LXV5WZQXK4A2X56/graph.json","fetch_events":"https://pith.science/api/pith-number/SOZGG3TP647LXV5WZQXK4A2X56/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SOZGG3TP647LXV5WZQXK4A2X56/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SOZGG3TP647LXV5WZQXK4A2X56/action/storage_attestation","attest_author":"https://pith.science/pith/SOZGG3TP647LXV5WZQXK4A2X56/action/author_attestation","sign_citation":"https://pith.science/pith/SOZGG3TP647LXV5WZQXK4A2X56/action/citation_signature","submit_replication":"https://pith.science/pith/SOZGG3TP647LXV5WZQXK4A2X56/action/replication_record"}},"created_at":"2026-05-18T01:16:04.395653+00:00","updated_at":"2026-05-18T01:16:04.395653+00:00"}