{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:Z4P5WESWKOYOAYKO5E2DDIM663","short_pith_number":"pith:Z4P5WESW","schema_version":"1.0","canonical_sha256":"cf1fdb125653b0e0614ee93431a19ef6e5051fe3d605ed6705e1ec33132db14d","source":{"kind":"arxiv","id":"1810.01783","version":1},"attestation_state":"computed","paper":{"title":"A Direct Proof of the Reflection Principle for Brownian Motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.PR","authors_text":"Duncan Wright, S. J. Dilworth","submitted_at":"2018-10-01T21:40:02Z","abstract_excerpt":"We present a self-contained proof of the reflection principle for Brownian Motion."},"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":"1810.01783","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-10-01T21:40:02Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"6e22ce79ca843849dbc15858c137d5a291533b5fd719f49c7941b63fa1396c14","abstract_canon_sha256":"57fe1c6acbed8ffc8e6ceb6f0cda487ebb099ebcd7acd09d6aaed2434305aba4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:10.985510Z","signature_b64":"D7azuzp7amwHholpVqtgETzAclzbMPVU6aenOwgO6yipPDB+54TnhGPE6UxddJ/YafTrzVwwoJVY00Lbr7mVCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf1fdb125653b0e0614ee93431a19ef6e5051fe3d605ed6705e1ec33132db14d","last_reissued_at":"2026-05-18T00:04:10.984888Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:10.984888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Direct Proof of the Reflection Principle for Brownian Motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.PR","authors_text":"Duncan Wright, S. J. Dilworth","submitted_at":"2018-10-01T21:40:02Z","abstract_excerpt":"We present a self-contained proof of the reflection principle for Brownian Motion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.01783","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":"1810.01783","created_at":"2026-05-18T00:04:10.984976+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.01783v1","created_at":"2026-05-18T00:04:10.984976+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.01783","created_at":"2026-05-18T00:04:10.984976+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z4P5WESWKOYO","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z4P5WESWKOYOAYKO","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z4P5WESW","created_at":"2026-05-18T12:33:04.347982+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/Z4P5WESWKOYOAYKO5E2DDIM663","json":"https://pith.science/pith/Z4P5WESWKOYOAYKO5E2DDIM663.json","graph_json":"https://pith.science/api/pith-number/Z4P5WESWKOYOAYKO5E2DDIM663/graph.json","events_json":"https://pith.science/api/pith-number/Z4P5WESWKOYOAYKO5E2DDIM663/events.json","paper":"https://pith.science/paper/Z4P5WESW"},"agent_actions":{"view_html":"https://pith.science/pith/Z4P5WESWKOYOAYKO5E2DDIM663","download_json":"https://pith.science/pith/Z4P5WESWKOYOAYKO5E2DDIM663.json","view_paper":"https://pith.science/paper/Z4P5WESW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.01783&json=true","fetch_graph":"https://pith.science/api/pith-number/Z4P5WESWKOYOAYKO5E2DDIM663/graph.json","fetch_events":"https://pith.science/api/pith-number/Z4P5WESWKOYOAYKO5E2DDIM663/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z4P5WESWKOYOAYKO5E2DDIM663/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z4P5WESWKOYOAYKO5E2DDIM663/action/storage_attestation","attest_author":"https://pith.science/pith/Z4P5WESWKOYOAYKO5E2DDIM663/action/author_attestation","sign_citation":"https://pith.science/pith/Z4P5WESWKOYOAYKO5E2DDIM663/action/citation_signature","submit_replication":"https://pith.science/pith/Z4P5WESWKOYOAYKO5E2DDIM663/action/replication_record"}},"created_at":"2026-05-18T00:04:10.984976+00:00","updated_at":"2026-05-18T00:04:10.984976+00:00"}