{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:YCND4ETTZP2MHLSGCTWAPZME7H","short_pith_number":"pith:YCND4ETT","schema_version":"1.0","canonical_sha256":"c09a3e1273cbf4c3ae4614ec07e584f9fff04447e2fa6d38bfdd77903656cc9d","source":{"kind":"arxiv","id":"1905.00852","version":1},"attestation_state":"computed","paper":{"title":"A conformal Skorokhod embedding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Renan Gross","submitted_at":"2019-05-02T16:55:44Z","abstract_excerpt":"Start a planar Brownian motion and let it run until it hits some given barrier. We show that the barrier may be crafted so that the x coordinate at the hitting time has any prescribed centered distribution with finite variance. This provides a new, complex-analytic proof of the Skorokhod embedding theorem. Our method is constructive and can give an explicit description of the barrier."},"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":"1905.00852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-05-02T16:55:44Z","cross_cats_sorted":[],"title_canon_sha256":"86f47d4c4472d7bd67a73341b9aa7af5828f0f08e167e4822f51239dc4a1c94e","abstract_canon_sha256":"915289e43c1d314aac86696b2287c1080a1b153be973a08e9d398200cde59f2c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:09.083094Z","signature_b64":"JUKfKV/ahKHnRasqI92KkyXSK2749jMPcL+8HYjcutokOZyEuwCEt5LZVGkoXhmFT/FH1oChICUIQ3SMXI9bDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c09a3e1273cbf4c3ae4614ec07e584f9fff04447e2fa6d38bfdd77903656cc9d","last_reissued_at":"2026-05-17T23:47:09.082408Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:09.082408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A conformal Skorokhod embedding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Renan Gross","submitted_at":"2019-05-02T16:55:44Z","abstract_excerpt":"Start a planar Brownian motion and let it run until it hits some given barrier. We show that the barrier may be crafted so that the x coordinate at the hitting time has any prescribed centered distribution with finite variance. This provides a new, complex-analytic proof of the Skorokhod embedding theorem. Our method is constructive and can give an explicit description of the barrier."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.00852","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":"1905.00852","created_at":"2026-05-17T23:47:09.082511+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.00852v1","created_at":"2026-05-17T23:47:09.082511+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.00852","created_at":"2026-05-17T23:47:09.082511+00:00"},{"alias_kind":"pith_short_12","alias_value":"YCND4ETTZP2M","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_16","alias_value":"YCND4ETTZP2MHLSG","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_8","alias_value":"YCND4ETT","created_at":"2026-05-18T12:33:33.725879+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/YCND4ETTZP2MHLSGCTWAPZME7H","json":"https://pith.science/pith/YCND4ETTZP2MHLSGCTWAPZME7H.json","graph_json":"https://pith.science/api/pith-number/YCND4ETTZP2MHLSGCTWAPZME7H/graph.json","events_json":"https://pith.science/api/pith-number/YCND4ETTZP2MHLSGCTWAPZME7H/events.json","paper":"https://pith.science/paper/YCND4ETT"},"agent_actions":{"view_html":"https://pith.science/pith/YCND4ETTZP2MHLSGCTWAPZME7H","download_json":"https://pith.science/pith/YCND4ETTZP2MHLSGCTWAPZME7H.json","view_paper":"https://pith.science/paper/YCND4ETT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.00852&json=true","fetch_graph":"https://pith.science/api/pith-number/YCND4ETTZP2MHLSGCTWAPZME7H/graph.json","fetch_events":"https://pith.science/api/pith-number/YCND4ETTZP2MHLSGCTWAPZME7H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YCND4ETTZP2MHLSGCTWAPZME7H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YCND4ETTZP2MHLSGCTWAPZME7H/action/storage_attestation","attest_author":"https://pith.science/pith/YCND4ETTZP2MHLSGCTWAPZME7H/action/author_attestation","sign_citation":"https://pith.science/pith/YCND4ETTZP2MHLSGCTWAPZME7H/action/citation_signature","submit_replication":"https://pith.science/pith/YCND4ETTZP2MHLSGCTWAPZME7H/action/replication_record"}},"created_at":"2026-05-17T23:47:09.082511+00:00","updated_at":"2026-05-17T23:47:09.082511+00:00"}