{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ES7XGFTNEFBOTJVPC327PNJHZW","short_pith_number":"pith:ES7XGFTN","schema_version":"1.0","canonical_sha256":"24bf73166d2142e9a6af16f5f7b527cd90fc164bfa9c4b2d042fb4a77a209366","source":{"kind":"arxiv","id":"1006.0535","version":2},"attestation_state":"computed","paper":{"title":"Scaling limit of d-inverse of Brownian motion with functional drift","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Katsutoshi Yoshioka, Kouji Yano","submitted_at":"2010-06-03T01:19:20Z","abstract_excerpt":"The d-inverse is a generalized notion of inverse of a stochastic process having a certain tendency of increasing expectations. Scaling limit of the d-inverse of Brownian motion with functional drift is studied. Except for degenerate case, the class of possible scaling limits is proved to consist of the d-inverses of Brownian motion without drift, one with explosion in finite time, and one with power drift."},"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":"1006.0535","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-06-03T01:19:20Z","cross_cats_sorted":[],"title_canon_sha256":"18707bd6a218240d4605562072b6d4a40e49f31f048abebee56fa7263013ab7a","abstract_canon_sha256":"f77e6e2b92924650aec102983b7a1de321714392bc60b1e95ddac48738bbd2ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:44.746520Z","signature_b64":"gm7+rS6DcfoP5CqR56FSxMlWiuNrqsM6zLI72LvRdB6XWo492D6P7jpn7sBuiGM+22cvRl1ryI7fSDK4ZKY/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24bf73166d2142e9a6af16f5f7b527cd90fc164bfa9c4b2d042fb4a77a209366","last_reissued_at":"2026-05-18T04:41:44.745964Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:44.745964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scaling limit of d-inverse of Brownian motion with functional drift","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Katsutoshi Yoshioka, Kouji Yano","submitted_at":"2010-06-03T01:19:20Z","abstract_excerpt":"The d-inverse is a generalized notion of inverse of a stochastic process having a certain tendency of increasing expectations. Scaling limit of the d-inverse of Brownian motion with functional drift is studied. Except for degenerate case, the class of possible scaling limits is proved to consist of the d-inverses of Brownian motion without drift, one with explosion in finite time, and one with power drift."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0535","kind":"arxiv","version":2},"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":"1006.0535","created_at":"2026-05-18T04:41:44.746042+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.0535v2","created_at":"2026-05-18T04:41:44.746042+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0535","created_at":"2026-05-18T04:41:44.746042+00:00"},{"alias_kind":"pith_short_12","alias_value":"ES7XGFTNEFBO","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"ES7XGFTNEFBOTJVP","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"ES7XGFTN","created_at":"2026-05-18T12:26:06.534383+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/ES7XGFTNEFBOTJVPC327PNJHZW","json":"https://pith.science/pith/ES7XGFTNEFBOTJVPC327PNJHZW.json","graph_json":"https://pith.science/api/pith-number/ES7XGFTNEFBOTJVPC327PNJHZW/graph.json","events_json":"https://pith.science/api/pith-number/ES7XGFTNEFBOTJVPC327PNJHZW/events.json","paper":"https://pith.science/paper/ES7XGFTN"},"agent_actions":{"view_html":"https://pith.science/pith/ES7XGFTNEFBOTJVPC327PNJHZW","download_json":"https://pith.science/pith/ES7XGFTNEFBOTJVPC327PNJHZW.json","view_paper":"https://pith.science/paper/ES7XGFTN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.0535&json=true","fetch_graph":"https://pith.science/api/pith-number/ES7XGFTNEFBOTJVPC327PNJHZW/graph.json","fetch_events":"https://pith.science/api/pith-number/ES7XGFTNEFBOTJVPC327PNJHZW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ES7XGFTNEFBOTJVPC327PNJHZW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ES7XGFTNEFBOTJVPC327PNJHZW/action/storage_attestation","attest_author":"https://pith.science/pith/ES7XGFTNEFBOTJVPC327PNJHZW/action/author_attestation","sign_citation":"https://pith.science/pith/ES7XGFTNEFBOTJVPC327PNJHZW/action/citation_signature","submit_replication":"https://pith.science/pith/ES7XGFTNEFBOTJVPC327PNJHZW/action/replication_record"}},"created_at":"2026-05-18T04:41:44.746042+00:00","updated_at":"2026-05-18T04:41:44.746042+00:00"}