{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:W33UGGMDU47CSSKJSCMOTZTNLN","short_pith_number":"pith:W33UGGMD","schema_version":"1.0","canonical_sha256":"b6f7431983a73e2949499098e9e66d5b59a728bef7419cff4973f759fc3a7836","source":{"kind":"arxiv","id":"2606.08776","version":1},"attestation_state":"computed","paper":{"title":"Approximation of certain stochastic integrals with anticipating integrands","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Hannah Geiss, Onni Hinkkanen, Stefan Geiss","submitted_at":"2026-06-07T18:42:15Z","abstract_excerpt":"We study the quantitative approximation of certain stochastic integrals, where we use discrete time approximations under initial enlargement of filtration. It turns out that the approximation rate is in general the same as in the case of no additional information, however, the asymptotic constant improves."},"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":"2606.08776","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-06-07T18:42:15Z","cross_cats_sorted":[],"title_canon_sha256":"7597e66e1e69ca426073f8a35dbe3246ac3d345bdaa2923534bf6e3669c9c116","abstract_canon_sha256":"ea992bffffd9c62faa556436849484eddf2b639d0a734db0be9054702596174a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T02:07:38.800034Z","signature_b64":"5AEpScm9eLc6AhRPJRN7OLnZuIx4+FwABE6wm0qj7ke/pKWyG+3uiOVfjFYANf09d4r+ah0AJ57b1Z+AGjEsAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6f7431983a73e2949499098e9e66d5b59a728bef7419cff4973f759fc3a7836","last_reissued_at":"2026-06-09T02:07:38.799136Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T02:07:38.799136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approximation of certain stochastic integrals with anticipating integrands","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Hannah Geiss, Onni Hinkkanen, Stefan Geiss","submitted_at":"2026-06-07T18:42:15Z","abstract_excerpt":"We study the quantitative approximation of certain stochastic integrals, where we use discrete time approximations under initial enlargement of filtration. It turns out that the approximation rate is in general the same as in the case of no additional information, however, the asymptotic constant improves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.08776","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.08776/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2606.08776","created_at":"2026-06-09T02:07:38.799290+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.08776v1","created_at":"2026-06-09T02:07:38.799290+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.08776","created_at":"2026-06-09T02:07:38.799290+00:00"},{"alias_kind":"pith_short_12","alias_value":"W33UGGMDU47C","created_at":"2026-06-09T02:07:38.799290+00:00"},{"alias_kind":"pith_short_16","alias_value":"W33UGGMDU47CSSKJ","created_at":"2026-06-09T02:07:38.799290+00:00"},{"alias_kind":"pith_short_8","alias_value":"W33UGGMD","created_at":"2026-06-09T02:07:38.799290+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/W33UGGMDU47CSSKJSCMOTZTNLN","json":"https://pith.science/pith/W33UGGMDU47CSSKJSCMOTZTNLN.json","graph_json":"https://pith.science/api/pith-number/W33UGGMDU47CSSKJSCMOTZTNLN/graph.json","events_json":"https://pith.science/api/pith-number/W33UGGMDU47CSSKJSCMOTZTNLN/events.json","paper":"https://pith.science/paper/W33UGGMD"},"agent_actions":{"view_html":"https://pith.science/pith/W33UGGMDU47CSSKJSCMOTZTNLN","download_json":"https://pith.science/pith/W33UGGMDU47CSSKJSCMOTZTNLN.json","view_paper":"https://pith.science/paper/W33UGGMD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.08776&json=true","fetch_graph":"https://pith.science/api/pith-number/W33UGGMDU47CSSKJSCMOTZTNLN/graph.json","fetch_events":"https://pith.science/api/pith-number/W33UGGMDU47CSSKJSCMOTZTNLN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W33UGGMDU47CSSKJSCMOTZTNLN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W33UGGMDU47CSSKJSCMOTZTNLN/action/storage_attestation","attest_author":"https://pith.science/pith/W33UGGMDU47CSSKJSCMOTZTNLN/action/author_attestation","sign_citation":"https://pith.science/pith/W33UGGMDU47CSSKJSCMOTZTNLN/action/citation_signature","submit_replication":"https://pith.science/pith/W33UGGMDU47CSSKJSCMOTZTNLN/action/replication_record"}},"created_at":"2026-06-09T02:07:38.799290+00:00","updated_at":"2026-06-09T02:07:38.799290+00:00"}