{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6CZBCLITKUJJVIBNFUFG5L24TZ","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":"938b37507f82bc22aaeaa58737838a02b5ff3378a33deeca32196f65899e393b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2015-06-05T21:43:59Z","title_canon_sha256":"301ace517a91f2f9fa8dadc4a5338c09649031b1d4fcd0fcafd977fa0bdea5f1"},"schema_version":"1.0","source":{"id":"1506.02074","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02074","created_at":"2026-05-18T01:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02074v2","created_at":"2026-05-18T01:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02074","created_at":"2026-05-18T01:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"6CZBCLITKUJJ","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6CZBCLITKUJJVIBN","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6CZBCLIT","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:f7840b239cb1549b13e7cd77d7b6f7a371a56bddecb2a4aff234d7c219aee7d9","target":"graph","created_at":"2026-05-18T01:26:31Z","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 propose a flexible framework for hedging a contingent claim by holding static positions in vanilla European calls, puts, bonds, and forwards. A model-free expression is derived for the optimal static hedging strategy that minimizes the expected squared hedging error subject to a cost constraint. The optimal hedge involves computing a number of expectations that reflect the dependence among the contingent claim and the hedging assets. We provide a general method for approximating these expectations analytically in a general Markov diffusion market. To illustrate the versatility of our approa","authors_text":"Matthew Lorig, Tim Leung","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2015-06-05T21:43:59Z","title":"Optimal Static Quadratic Hedging"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02074","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":"sha256:1042afa8fca19dcf0aac324db4ca71c765086baabe93f2391a7bff8e5687e3ed","target":"record","created_at":"2026-05-18T01:26:31Z","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":"938b37507f82bc22aaeaa58737838a02b5ff3378a33deeca32196f65899e393b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2015-06-05T21:43:59Z","title_canon_sha256":"301ace517a91f2f9fa8dadc4a5338c09649031b1d4fcd0fcafd977fa0bdea5f1"},"schema_version":"1.0","source":{"id":"1506.02074","kind":"arxiv","version":2}},"canonical_sha256":"f0b2112d1355129aa02d2d0a6eaf5c9e47cf34dbf547b9183ba181605b580cfb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0b2112d1355129aa02d2d0a6eaf5c9e47cf34dbf547b9183ba181605b580cfb","first_computed_at":"2026-05-18T01:26:31.456735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:31.456735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HXIJKEa+vpmT+rYQwohJBOnBowlh3GRrpDguGErHTRse71gGhnfl0xGm/482JvK3MImIlpOSnSGjEzHeUJSmBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:31.457272Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02074","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1042afa8fca19dcf0aac324db4ca71c765086baabe93f2391a7bff8e5687e3ed","sha256:f7840b239cb1549b13e7cd77d7b6f7a371a56bddecb2a4aff234d7c219aee7d9"],"state_sha256":"30ebcd9c71f1779c87dc121eae5a3d7470b2a3759caa3ae8e7c33e475d1974fb"}