{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ZLHQLAVIRLT5OOCRD2X5UZCMG3","short_pith_number":"pith:ZLHQLAVI","schema_version":"1.0","canonical_sha256":"cacf0582a88ae7d738511eafda644c36dce6f3006235625ecc89dedb1d5718d2","source":{"kind":"arxiv","id":"1001.3189","version":1},"attestation_state":"computed","paper":{"title":"Loop-Erasure of Plane Brownian Motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dapeng Zhan","submitted_at":"2010-01-19T03:29:14Z","abstract_excerpt":"We use the coupling technique to prove that there exists a loop-erasure of a plane Brownian motion stopped on exiting a simply connected domain, and the loop-erased curve is the reversal of a radial SLE$_2$ curve."},"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":"1001.3189","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-01-19T03:29:14Z","cross_cats_sorted":[],"title_canon_sha256":"4a4d685dbdbbcbe48a40807be2cfea9e896294434ff04d56e57029f82518ddf3","abstract_canon_sha256":"709547c1f716dfb15a27a244067b8e7363553bb65945bafbbcb0d94893a22f62"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:42.698656Z","signature_b64":"Mui98DIGO1ED+1XU+2KNNNo9gMrgpSer1CD7gqp4lofgT2oHsAUoD8gOjg+obKioCVOk5VjscfPISDdqz3gTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cacf0582a88ae7d738511eafda644c36dce6f3006235625ecc89dedb1d5718d2","last_reissued_at":"2026-05-18T02:09:42.697961Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:42.697961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Loop-Erasure of Plane Brownian Motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dapeng Zhan","submitted_at":"2010-01-19T03:29:14Z","abstract_excerpt":"We use the coupling technique to prove that there exists a loop-erasure of a plane Brownian motion stopped on exiting a simply connected domain, and the loop-erased curve is the reversal of a radial SLE$_2$ curve."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.3189","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":"1001.3189","created_at":"2026-05-18T02:09:42.698080+00:00"},{"alias_kind":"arxiv_version","alias_value":"1001.3189v1","created_at":"2026-05-18T02:09:42.698080+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.3189","created_at":"2026-05-18T02:09:42.698080+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZLHQLAVIRLT5","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZLHQLAVIRLT5OOCR","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZLHQLAVI","created_at":"2026-05-18T12:26:18.847500+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/ZLHQLAVIRLT5OOCRD2X5UZCMG3","json":"https://pith.science/pith/ZLHQLAVIRLT5OOCRD2X5UZCMG3.json","graph_json":"https://pith.science/api/pith-number/ZLHQLAVIRLT5OOCRD2X5UZCMG3/graph.json","events_json":"https://pith.science/api/pith-number/ZLHQLAVIRLT5OOCRD2X5UZCMG3/events.json","paper":"https://pith.science/paper/ZLHQLAVI"},"agent_actions":{"view_html":"https://pith.science/pith/ZLHQLAVIRLT5OOCRD2X5UZCMG3","download_json":"https://pith.science/pith/ZLHQLAVIRLT5OOCRD2X5UZCMG3.json","view_paper":"https://pith.science/paper/ZLHQLAVI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1001.3189&json=true","fetch_graph":"https://pith.science/api/pith-number/ZLHQLAVIRLT5OOCRD2X5UZCMG3/graph.json","fetch_events":"https://pith.science/api/pith-number/ZLHQLAVIRLT5OOCRD2X5UZCMG3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZLHQLAVIRLT5OOCRD2X5UZCMG3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZLHQLAVIRLT5OOCRD2X5UZCMG3/action/storage_attestation","attest_author":"https://pith.science/pith/ZLHQLAVIRLT5OOCRD2X5UZCMG3/action/author_attestation","sign_citation":"https://pith.science/pith/ZLHQLAVIRLT5OOCRD2X5UZCMG3/action/citation_signature","submit_replication":"https://pith.science/pith/ZLHQLAVIRLT5OOCRD2X5UZCMG3/action/replication_record"}},"created_at":"2026-05-18T02:09:42.698080+00:00","updated_at":"2026-05-18T02:09:42.698080+00:00"}