{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:I5SLJ6Z575FFE73XDP53SEURPJ","short_pith_number":"pith:I5SLJ6Z5","canonical_record":{"source":{"id":"1009.5410","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-09-27T22:58:08Z","cross_cats_sorted":[],"title_canon_sha256":"ab510a364c575a339ca92b239106db6fe6853098b850f89a75eac3003289af8d","abstract_canon_sha256":"fe1ef4b79831422b9e3ae338cc8606025fe45123d385a3276f05bc8e5573de79"},"schema_version":"1.0"},"canonical_sha256":"4764b4fb3dff4a527f771bfbb912917a4e7c12bebc479167555653cf0937e45c","source":{"kind":"arxiv","id":"1009.5410","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5410","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5410v4","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5410","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"pith_short_12","alias_value":"I5SLJ6Z575FF","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"I5SLJ6Z575FFE73X","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"I5SLJ6Z5","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:I5SLJ6Z575FFE73XDP53SEURPJ","target":"record","payload":{"canonical_record":{"source":{"id":"1009.5410","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-09-27T22:58:08Z","cross_cats_sorted":[],"title_canon_sha256":"ab510a364c575a339ca92b239106db6fe6853098b850f89a75eac3003289af8d","abstract_canon_sha256":"fe1ef4b79831422b9e3ae338cc8606025fe45123d385a3276f05bc8e5573de79"},"schema_version":"1.0"},"canonical_sha256":"4764b4fb3dff4a527f771bfbb912917a4e7c12bebc479167555653cf0937e45c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:27.757053Z","signature_b64":"2Yz7/9TnZFhYD8HHCoSSHPF4exrqiEIIevGcQDEz9CtOWc5FuHd+tocmthkXa6fDeVSH/3oDPYvbiSZtCkQhCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4764b4fb3dff4a527f771bfbb912917a4e7c12bebc479167555653cf0937e45c","last_reissued_at":"2026-05-18T04:05:27.756372Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:27.756372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.5410","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:05:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WVerDp7OomaspEouwilKiL6ktTjiRNzTwbyE84G22OU+wTWYUoKIEU+zY5jUZ/DkDDyGZeLvKcjddpRO1eAsBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:55:51.812610Z"},"content_sha256":"bef37459b62b2748b79d3aef8995320512e6820a11b6fd65fcb6555b4b0562a8","schema_version":"1.0","event_id":"sha256:bef37459b62b2748b79d3aef8995320512e6820a11b6fd65fcb6555b4b0562a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:I5SLJ6Z575FFE73XDP53SEURPJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Corrections for \"Occupation and local times for skew Brownian motion with applications to dispersion across an interface\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Brian Wood, Edward Waymire, Enrique Thomann, Thilanka Appuhamillage, Vrushali Bokil","submitted_at":"2010-09-27T22:58:08Z","abstract_excerpt":"We are making corrections and acknowledging colleagues that pointed out mistakes in our recent paper titled \"Occupation and local times for skew Brownian motion with applications to dispersion across an interface\" which was published in Annals of Applied Probability (2011) 21(1) 183-214. Specifically the corrections are: 1. The restriction of $\\gamma$ to non negative values in Theorem 1.3 is not needed. But one has probabilistic interpretation only when $\\gamma$ is non negative. 2. State the correct formulas in Corollary 3.3 as their were computational errors in the original formulas. We thank"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5410","kind":"arxiv","version":4},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:05:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"noAQim/IXmEr14dcD3kaifg6AIGJyTzF2gqgj92Rt9971f+o93sksMxIFsSMCBGoBflT6CJXQPi2w7goG7IICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:55:51.812965Z"},"content_sha256":"c5d8250eac61333070bfaf83277d9cb6a4cfbac614521c7c2db841063d4c6748","schema_version":"1.0","event_id":"sha256:c5d8250eac61333070bfaf83277d9cb6a4cfbac614521c7c2db841063d4c6748"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I5SLJ6Z575FFE73XDP53SEURPJ/bundle.json","state_url":"https://pith.science/pith/I5SLJ6Z575FFE73XDP53SEURPJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I5SLJ6Z575FFE73XDP53SEURPJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T00:55:51Z","links":{"resolver":"https://pith.science/pith/I5SLJ6Z575FFE73XDP53SEURPJ","bundle":"https://pith.science/pith/I5SLJ6Z575FFE73XDP53SEURPJ/bundle.json","state":"https://pith.science/pith/I5SLJ6Z575FFE73XDP53SEURPJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I5SLJ6Z575FFE73XDP53SEURPJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:I5SLJ6Z575FFE73XDP53SEURPJ","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":"fe1ef4b79831422b9e3ae338cc8606025fe45123d385a3276f05bc8e5573de79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-09-27T22:58:08Z","title_canon_sha256":"ab510a364c575a339ca92b239106db6fe6853098b850f89a75eac3003289af8d"},"schema_version":"1.0","source":{"id":"1009.5410","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5410","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5410v4","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5410","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"pith_short_12","alias_value":"I5SLJ6Z575FF","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"I5SLJ6Z575FFE73X","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"I5SLJ6Z5","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:c5d8250eac61333070bfaf83277d9cb6a4cfbac614521c7c2db841063d4c6748","target":"graph","created_at":"2026-05-18T04:05:27Z","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 are making corrections and acknowledging colleagues that pointed out mistakes in our recent paper titled \"Occupation and local times for skew Brownian motion with applications to dispersion across an interface\" which was published in Annals of Applied Probability (2011) 21(1) 183-214. Specifically the corrections are: 1. The restriction of $\\gamma$ to non negative values in Theorem 1.3 is not needed. But one has probabilistic interpretation only when $\\gamma$ is non negative. 2. State the correct formulas in Corollary 3.3 as their were computational errors in the original formulas. We thank","authors_text":"Brian Wood, Edward Waymire, Enrique Thomann, Thilanka Appuhamillage, Vrushali Bokil","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-09-27T22:58:08Z","title":"Corrections for \"Occupation and local times for skew Brownian motion with applications to dispersion across an interface\""},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5410","kind":"arxiv","version":4},"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:bef37459b62b2748b79d3aef8995320512e6820a11b6fd65fcb6555b4b0562a8","target":"record","created_at":"2026-05-18T04:05:27Z","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":"fe1ef4b79831422b9e3ae338cc8606025fe45123d385a3276f05bc8e5573de79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-09-27T22:58:08Z","title_canon_sha256":"ab510a364c575a339ca92b239106db6fe6853098b850f89a75eac3003289af8d"},"schema_version":"1.0","source":{"id":"1009.5410","kind":"arxiv","version":4}},"canonical_sha256":"4764b4fb3dff4a527f771bfbb912917a4e7c12bebc479167555653cf0937e45c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4764b4fb3dff4a527f771bfbb912917a4e7c12bebc479167555653cf0937e45c","first_computed_at":"2026-05-18T04:05:27.756372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:27.756372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Yz7/9TnZFhYD8HHCoSSHPF4exrqiEIIevGcQDEz9CtOWc5FuHd+tocmthkXa6fDeVSH/3oDPYvbiSZtCkQhCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:27.757053Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.5410","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bef37459b62b2748b79d3aef8995320512e6820a11b6fd65fcb6555b4b0562a8","sha256:c5d8250eac61333070bfaf83277d9cb6a4cfbac614521c7c2db841063d4c6748"],"state_sha256":"b4425da8422bad81fcd0b0f91764e0f8c44dbbb05950829a03d7b5efd2b91ec8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nGwgsjfpd9efbx1RkJ5eI8PQbZ1ptntI1fUzevZLg+6Lt4CndtYkwxGqy+IsWxWNuRCzq9qWuGNWFmkBPivbAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T00:55:51.815127Z","bundle_sha256":"c235b50251b198a8b84e988376aa33fa5deb29f58890779c84b840eccae488e8"}}