{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6XY5336QG4HCS3SQK7VRYQRSRP","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":"eee888b26652c7ded98ca464b8daf3d22820483c0faa6b9b00c92806ef97d3b2","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2016-08-23T04:05:30Z","title_canon_sha256":"69efdec5e7156750703bc841761a0a428c8e208045f5bec162895cd76e1e05b2"},"schema_version":"1.0","source":{"id":"1608.06376","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.06376","created_at":"2026-05-17T23:44:33Z"},{"alias_kind":"arxiv_version","alias_value":"1608.06376v2","created_at":"2026-05-17T23:44:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.06376","created_at":"2026-05-17T23:44:33Z"},{"alias_kind":"pith_short_12","alias_value":"6XY5336QG4HC","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"6XY5336QG4HCS3SQ","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"6XY5336Q","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:94f7378921bb470c7e39b9261adf36f7361ccc6c99fb21947ebd0bd39141945a","target":"graph","created_at":"2026-05-17T23:44:33Z","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":"The classical derivation of the well-known Vasicek model for interest rates is reformulated in terms of the associated pricing kernel. An advantage of the pricing kernel method is that it allows one to generalize the construction to the L\\'evy-Vasicek case, avoiding issues of market incompleteness. In the L\\'evy-Vasicek model the short rate is taken in the real-world measure to be a mean-reverting process with a general one-dimensional L\\'evy driver admitting exponential moments. Expressions are obtained for the L\\'evy-Vasicek bond prices and interest rates, along with a formula for the return","authors_text":"David M. Meier, Dorje C. Brody, Lane P. Hughston","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2016-08-23T04:05:30Z","title":"L\\'evy-Vasicek Models and the Long-Bond Return Process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.06376","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:b4b91fcfb29916eb92ee7fc4e340713945324f8dd5e7f25ab4998d1963652d70","target":"record","created_at":"2026-05-17T23:44:33Z","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":"eee888b26652c7ded98ca464b8daf3d22820483c0faa6b9b00c92806ef97d3b2","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2016-08-23T04:05:30Z","title_canon_sha256":"69efdec5e7156750703bc841761a0a428c8e208045f5bec162895cd76e1e05b2"},"schema_version":"1.0","source":{"id":"1608.06376","kind":"arxiv","version":2}},"canonical_sha256":"f5f1ddefd0370e296e5057eb1c42328be09aeaf704e761918d9276ba3d90c67b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5f1ddefd0370e296e5057eb1c42328be09aeaf704e761918d9276ba3d90c67b","first_computed_at":"2026-05-17T23:44:33.174686Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:33.174686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ml8NYdurV/uwvPMQ1ZT52Ei8x7zIWOz2LfFWtwJQTLG22ldrOAw9fk7gmvlpS0hAejikQ0Rv60Ll6NKlXhb3AQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:33.175341Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.06376","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4b91fcfb29916eb92ee7fc4e340713945324f8dd5e7f25ab4998d1963652d70","sha256:94f7378921bb470c7e39b9261adf36f7361ccc6c99fb21947ebd0bd39141945a"],"state_sha256":"bf7d730efb13898c5cdaa113b1d7455db7291f7be02434b202cad86ab546c261"}