{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:BTCXKXPD4RUDCV6PBNW5Q2Z3AF","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"82389c0f7f685142a7ff096e94d94ba63905624380c30944dd4a13adfade39cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-11-12T09:36:26Z","title_canon_sha256":"d58834e3e49c8335ab0e205c440249e6d287c0c8b086ad6066fbe38e56318e60"},"schema_version":"1.0","source":{"id":"0811.1847","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.1847","created_at":"2026-05-18T04:32:20Z"},{"alias_kind":"arxiv_version","alias_value":"0811.1847v3","created_at":"2026-05-18T04:32:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.1847","created_at":"2026-05-18T04:32:20Z"},{"alias_kind":"pith_short_12","alias_value":"BTCXKXPD4RUD","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"BTCXKXPD4RUDCV6P","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"BTCXKXPD","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:85cb344f569c64d8f49e6ff4a97222b499041f6f5dd200cc94456fd4c4148bd5","target":"graph","created_at":"2026-05-18T04:32:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Mikko S. Pakkanen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-11-12T09:36:26Z","title":"Stochastic integrals and conditional full support"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.1847","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9884d52ab4e857bbfb1c451297bac929b8dd587b9164fb1224769e9416d56da5","target":"record","created_at":"2026-05-18T04:32:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"82389c0f7f685142a7ff096e94d94ba63905624380c30944dd4a13adfade39cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-11-12T09:36:26Z","title_canon_sha256":"d58834e3e49c8335ab0e205c440249e6d287c0c8b086ad6066fbe38e56318e60"},"schema_version":"1.0","source":{"id":"0811.1847","kind":"arxiv","version":3}},"canonical_sha256":"0cc5755de3e4683157cf0b6dd86b3b016692d7f1656b950303c2889ab04dad12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cc5755de3e4683157cf0b6dd86b3b016692d7f1656b950303c2889ab04dad12","first_computed_at":"2026-05-18T04:32:20.117416Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:20.117416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yj2xk5LmnJ1tnZvfkMJjBhBDCwqe/IkZcPnYjMJ6CJw3pTKDQLfiXtvo2hqMbebNGWPyVtYL0MKsYGEakfcDAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:20.118120Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.1847","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9884d52ab4e857bbfb1c451297bac929b8dd587b9164fb1224769e9416d56da5","sha256:85cb344f569c64d8f49e6ff4a97222b499041f6f5dd200cc94456fd4c4148bd5"],"state_sha256":"8e7853d19264acb42edd9a1945b109200ee13348e0d19f1cee3d9821f91f8536"}