{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:BTCXKXPD4RUDCV6PBNW5Q2Z3AF","short_pith_number":"pith:BTCXKXPD","schema_version":"1.0","canonical_sha256":"0cc5755de3e4683157cf0b6dd86b3b016692d7f1656b950303c2889ab04dad12","source":{"kind":"arxiv","id":"0811.1847","version":3},"attestation_state":"computed","paper":{"title":"Stochastic integrals and conditional full support","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Mikko S. Pakkanen","submitted_at":"2008-11-12T09:36:26Z","abstract_excerpt":"We present conditions that imply the conditional full support (CFS) property, introduced by Guasoni, R\\'asonyi, and Schachermayer [Ann. Appl. Probab., 18 (2008), pp. 491--520], for processes Z := H + K \\cdot W, where W is a Brownian motion, H is a continuous process, and processes H and K are either progressive or independent of W. Moreover, in the latter case under an additional assumption that K is of finite variation, we present conditions under which Z has CFS also when W is replaced with a general continuous process with CFS. As applications of these results, we show that several stochast"},"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":"0811.1847","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-11-12T09:36:26Z","cross_cats_sorted":[],"title_canon_sha256":"d58834e3e49c8335ab0e205c440249e6d287c0c8b086ad6066fbe38e56318e60","abstract_canon_sha256":"82389c0f7f685142a7ff096e94d94ba63905624380c30944dd4a13adfade39cf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:20.118120Z","signature_b64":"Yj2xk5LmnJ1tnZvfkMJjBhBDCwqe/IkZcPnYjMJ6CJw3pTKDQLfiXtvo2hqMbebNGWPyVtYL0MKsYGEakfcDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0cc5755de3e4683157cf0b6dd86b3b016692d7f1656b950303c2889ab04dad12","last_reissued_at":"2026-05-18T04:32:20.117416Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:20.117416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic integrals and conditional full support","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Mikko S. Pakkanen","submitted_at":"2008-11-12T09:36:26Z","abstract_excerpt":"We present conditions that imply the conditional full support (CFS) property, introduced by Guasoni, R\\'asonyi, and Schachermayer [Ann. Appl. Probab., 18 (2008), pp. 491--520], for processes Z := H + K \\cdot W, where W is a Brownian motion, H is a continuous process, and processes H and K are either progressive or independent of W. Moreover, in the latter case under an additional assumption that K is of finite variation, we present conditions under which Z has CFS also when W is replaced with a general continuous process with CFS. As applications of these results, we show that several stochast"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.1847","kind":"arxiv","version":3},"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":"0811.1847","created_at":"2026-05-18T04:32:20.117531+00:00"},{"alias_kind":"arxiv_version","alias_value":"0811.1847v3","created_at":"2026-05-18T04:32:20.117531+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.1847","created_at":"2026-05-18T04:32:20.117531+00:00"},{"alias_kind":"pith_short_12","alias_value":"BTCXKXPD4RUD","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"BTCXKXPD4RUDCV6P","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"BTCXKXPD","created_at":"2026-05-18T12:25:56.245647+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/BTCXKXPD4RUDCV6PBNW5Q2Z3AF","json":"https://pith.science/pith/BTCXKXPD4RUDCV6PBNW5Q2Z3AF.json","graph_json":"https://pith.science/api/pith-number/BTCXKXPD4RUDCV6PBNW5Q2Z3AF/graph.json","events_json":"https://pith.science/api/pith-number/BTCXKXPD4RUDCV6PBNW5Q2Z3AF/events.json","paper":"https://pith.science/paper/BTCXKXPD"},"agent_actions":{"view_html":"https://pith.science/pith/BTCXKXPD4RUDCV6PBNW5Q2Z3AF","download_json":"https://pith.science/pith/BTCXKXPD4RUDCV6PBNW5Q2Z3AF.json","view_paper":"https://pith.science/paper/BTCXKXPD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0811.1847&json=true","fetch_graph":"https://pith.science/api/pith-number/BTCXKXPD4RUDCV6PBNW5Q2Z3AF/graph.json","fetch_events":"https://pith.science/api/pith-number/BTCXKXPD4RUDCV6PBNW5Q2Z3AF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BTCXKXPD4RUDCV6PBNW5Q2Z3AF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BTCXKXPD4RUDCV6PBNW5Q2Z3AF/action/storage_attestation","attest_author":"https://pith.science/pith/BTCXKXPD4RUDCV6PBNW5Q2Z3AF/action/author_attestation","sign_citation":"https://pith.science/pith/BTCXKXPD4RUDCV6PBNW5Q2Z3AF/action/citation_signature","submit_replication":"https://pith.science/pith/BTCXKXPD4RUDCV6PBNW5Q2Z3AF/action/replication_record"}},"created_at":"2026-05-18T04:32:20.117531+00:00","updated_at":"2026-05-18T04:32:20.117531+00:00"}