{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IAQ2WTIKEEAWKKTBZZEN3SGJDE","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":"cde9aea8618f8e0991f7aa7f9818abcda69059cd66fbd5590b524ee1965a27de","cross_cats_sorted":["q-fin.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-10-10T22:19:49Z","title_canon_sha256":"284378e9a44fa147e067c535e819d6c94e11241e97af6bf17151efdd8aa7d4f3"},"schema_version":"1.0","source":{"id":"1310.2973","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.2973","created_at":"2026-05-18T02:41:42Z"},{"alias_kind":"arxiv_version","alias_value":"1310.2973v2","created_at":"2026-05-18T02:41:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2973","created_at":"2026-05-18T02:41:42Z"},{"alias_kind":"pith_short_12","alias_value":"IAQ2WTIKEEAW","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IAQ2WTIKEEAWKKTB","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IAQ2WTIK","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:31542b035e8dfcb2d7156eda4b4ff0d2d9c21bca2aa611cc760ca943e4680bb0","target":"graph","created_at":"2026-05-18T02:41:42Z","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 the setting of exponential investors and uncertainty governed by Brownian motions we first prove the existence of an incomplete equilibrium for a general class of models. We then introduce a tractable class of exponential-quadratic models and prove that the corresponding incomplete equilibrium is characterized by a coupled set of Riccati equations. Finally, we prove that these exponential-quadratic models can be used to approximate the incomplete models we studied in the first part.","authors_text":"Jin Hyuk Choi, Kasper Larsen","cross_cats":["q-fin.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-10-10T22:19:49Z","title":"Taylor approximation of incomplete Radner equilibrium models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2973","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:bf8ddc07b546024e475a9b312ffdad19d2351163cd64d00f326fee08a750fd55","target":"record","created_at":"2026-05-18T02:41:42Z","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":"cde9aea8618f8e0991f7aa7f9818abcda69059cd66fbd5590b524ee1965a27de","cross_cats_sorted":["q-fin.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-10-10T22:19:49Z","title_canon_sha256":"284378e9a44fa147e067c535e819d6c94e11241e97af6bf17151efdd8aa7d4f3"},"schema_version":"1.0","source":{"id":"1310.2973","kind":"arxiv","version":2}},"canonical_sha256":"4021ab4d0a2101652a61ce48ddc8c9190a2bf5d58180fb8439c813d1f990f1ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4021ab4d0a2101652a61ce48ddc8c9190a2bf5d58180fb8439c813d1f990f1ce","first_computed_at":"2026-05-18T02:41:42.122304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:42.122304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JLXtqha0iVjyWZsgk7XqiX18wbRmuWr4h2nM8OxgaveATpg/K0fRmaZuN2IqU+QWHpy5iUvW7guICHKi8DvEBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:42.123068Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.2973","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf8ddc07b546024e475a9b312ffdad19d2351163cd64d00f326fee08a750fd55","sha256:31542b035e8dfcb2d7156eda4b4ff0d2d9c21bca2aa611cc760ca943e4680bb0"],"state_sha256":"50e15f0a4098f434c3a0efc14344ea06678ac937e23dfb2db1b3381945e8921f"}