{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DEKS3DPS4MJ6LLXPSDPXWPYVTM","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":"34033b443aee8cbb499a597982cc805101b89752ba5f8a4256a9f83c2d78b2c3","cross_cats_sorted":["q-fin.MF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-11-17T16:52:55Z","title_canon_sha256":"e4166a87028d7b6f2663fa6b035246a6cfc97782660bf47f64511ec2ab77c061"},"schema_version":"1.0","source":{"id":"1511.05465","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.05465","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"arxiv_version","alias_value":"1511.05465v2","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05465","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"pith_short_12","alias_value":"DEKS3DPS4MJ6","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DEKS3DPS4MJ6LLXP","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DEKS3DPS","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:4ff746387f93d43805e8401459452259f906621c853bb7623a2d2a29d9ce9189","target":"graph","created_at":"2026-05-18T00:51:37Z","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":"In this paper we study the F\\\"ollmer-Schweizer decomposition of a square integrable random variable $\\xi$ with respect to a given semimartingale $S$ under restricted information. Thanks to the relationship between this decomposition and that of the projection of $\\xi$ with respect to the given information flow, we characterize the integrand appearing in the F\\\"ollmer-Schweizer decomposition under partial information in the general case where $\\xi$ is not necessarily adapted to the available information level. For partially observable Markovian models where the dynamics of $S$ depends on an uno","authors_text":"Alessandra Cretarola, Claudia Ceci, Katia Colaneri","cross_cats":["q-fin.MF"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-11-17T16:52:55Z","title":"The F\\\"ollmer-Schweizer decomposition under incomplete information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05465","kind":"arxiv","version":2},"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":"sha256:5392cced88a8ad8ee79ad1177d94818a63ddcc35f4856b15ae3bb91975076488","target":"record","created_at":"2026-05-18T00:51:37Z","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":"34033b443aee8cbb499a597982cc805101b89752ba5f8a4256a9f83c2d78b2c3","cross_cats_sorted":["q-fin.MF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-11-17T16:52:55Z","title_canon_sha256":"e4166a87028d7b6f2663fa6b035246a6cfc97782660bf47f64511ec2ab77c061"},"schema_version":"1.0","source":{"id":"1511.05465","kind":"arxiv","version":2}},"canonical_sha256":"19152d8df2e313e5aeef90df7b3f159b247cb005dfef3359b7ed8fbcf33bf04a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19152d8df2e313e5aeef90df7b3f159b247cb005dfef3359b7ed8fbcf33bf04a","first_computed_at":"2026-05-18T00:51:37.558041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:37.558041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WhhFT1l+1Jl/d0eVzTjkUr9Vnt+ArDSnyzdkjsNRILsCigibDDzn7K1jK2ydmwtmzlht/26DlOsSWMlatQZKCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:37.558418Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.05465","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5392cced88a8ad8ee79ad1177d94818a63ddcc35f4856b15ae3bb91975076488","sha256:4ff746387f93d43805e8401459452259f906621c853bb7623a2d2a29d9ce9189"],"state_sha256":"32af7f33c2455b028234069e0c4d2b2ebf7adb0112c59196b49f37b7a8713a97"}