{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YGZN2A6LRMMUPSYLXTMIDGUI23","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":"dffcac711b2ad66f902b9f3170d40385b9975b71e11fa9c84398234877f47db0","cross_cats_sorted":["q-fin.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-05-25T19:45:54Z","title_canon_sha256":"bc42164bf34c2ace073e27bc89f9f90778ef8e86de2e851688e589d09fc738f1"},"schema_version":"1.0","source":{"id":"1305.5963","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5963","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5963v2","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5963","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"pith_short_12","alias_value":"YGZN2A6LRMMU","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YGZN2A6LRMMUPSYL","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YGZN2A6L","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:8814a30312d0ed192866d9cda8cb0fff5e6c29ecc63ea01be6c14158f1028223","target":"graph","created_at":"2026-05-18T02:32:06Z","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 note, we consider European options of type $h(X^1_T, X^2_T,\\ldots, X^n_T)$ depending on several underlying assets. We give a multidimensional version of the result of Breeden and Litzenberger \\cite{Breeden} on the relation between derivatives of the call price and the risk-neutral density of the underlying asset. The pricing measure is assumed to be absolutely continuous with respect to the Lebesgue measure on the state space.","authors_text":"Jarno Talponen, Lauri Viitasaari","cross_cats":["q-fin.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-05-25T19:45:54Z","title":"Note on multidimensional Breeden-Litzenberger representation for state price densities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5963","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":"sha256:8ded56fab876182c95a4fe1fbecce829c8f0c7d34c2e604387766999f55f8ebf","target":"record","created_at":"2026-05-18T02:32:06Z","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":"dffcac711b2ad66f902b9f3170d40385b9975b71e11fa9c84398234877f47db0","cross_cats_sorted":["q-fin.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-05-25T19:45:54Z","title_canon_sha256":"bc42164bf34c2ace073e27bc89f9f90778ef8e86de2e851688e589d09fc738f1"},"schema_version":"1.0","source":{"id":"1305.5963","kind":"arxiv","version":2}},"canonical_sha256":"c1b2dd03cb8b1947cb0bbcd8819a88d6c5610bd7bedbd672c80166fde8d035c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1b2dd03cb8b1947cb0bbcd8819a88d6c5610bd7bedbd672c80166fde8d035c9","first_computed_at":"2026-05-18T02:32:06.326992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:06.326992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VqbcFv0sVibeiRkCFZG+bp95Rc6ZjLN6HnCij82zfCQhFDwIpd7slsBX5bNx/7+Beq7YD2K6tBmjAYYRbdQeDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:06.327375Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5963","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ded56fab876182c95a4fe1fbecce829c8f0c7d34c2e604387766999f55f8ebf","sha256:8814a30312d0ed192866d9cda8cb0fff5e6c29ecc63ea01be6c14158f1028223"],"state_sha256":"7c0de642bc69d7fb8bc449d2d37a6b0e69f26c16b3c7e4cddf508e6bbcbd9419"}