{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MESUZK5D2FTWLIA7K5TYZF25LX","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":"0717826541a8e1d52570fd1c41e464251b8cb60fc7476d62762ac6e0c4bf4d56","cross_cats_sorted":["math.PR","q-fin.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.MF","submitted_at":"2024-09-19T20:06:35Z","title_canon_sha256":"127b56b65d38a0aea2638d3ef8fc5569dec26476a5bd68ddc5c3142669505967"},"schema_version":"1.0","source":{"id":"2409.13070","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.13070","created_at":"2026-07-03T01:17:10Z"},{"alias_kind":"arxiv_version","alias_value":"2409.13070v2","created_at":"2026-07-03T01:17:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.13070","created_at":"2026-07-03T01:17:10Z"},{"alias_kind":"pith_short_12","alias_value":"MESUZK5D2FTW","created_at":"2026-07-03T01:17:10Z"},{"alias_kind":"pith_short_16","alias_value":"MESUZK5D2FTWLIA7","created_at":"2026-07-03T01:17:10Z"},{"alias_kind":"pith_short_8","alias_value":"MESUZK5D","created_at":"2026-07-03T01:17:10Z"}],"graph_snapshots":[{"event_id":"sha256:a76c2562131a755e40c335e6c7dc5ea2442bbc5762bcb267cc3b5c3e775fb120","target":"graph","created_at":"2026-07-03T01:17:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2409.13070/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a function-valued stochastic volatility model designed to capture the continuous-time evolution of forward curves in fixed-income or commodity markets. The dynamics of the (logarithmic) forward curves are defined by a Heath-Jarrow-Morton-Musiela stochastic partial differential equation modulated by an instantaneous volatility process that describes the second-order moment structure of forwards with different time-to-maturity. We propose to model the operator-valued instantaneous covariance by an affine process on the cone of positive trace-class operators with drift given by the Lya","authors_text":"Sven Karbach","cross_cats":["math.PR","q-fin.PR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.MF","submitted_at":"2024-09-19T20:06:35Z","title":"Heat modulated affine stochastic volatility models for forward curve dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.13070","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":"sha256:5a6aeb342ebe4c7488be61384036cf068a18a2c0fedc6a116d9b78bfc17bd933","target":"record","created_at":"2026-07-03T01:17:10Z","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":"0717826541a8e1d52570fd1c41e464251b8cb60fc7476d62762ac6e0c4bf4d56","cross_cats_sorted":["math.PR","q-fin.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.MF","submitted_at":"2024-09-19T20:06:35Z","title_canon_sha256":"127b56b65d38a0aea2638d3ef8fc5569dec26476a5bd68ddc5c3142669505967"},"schema_version":"1.0","source":{"id":"2409.13070","kind":"arxiv","version":2}},"canonical_sha256":"61254caba3d16765a01f57678c975d5dc61090a0ab5e38121905838accf5e576","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61254caba3d16765a01f57678c975d5dc61090a0ab5e38121905838accf5e576","first_computed_at":"2026-07-03T01:17:10.298689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-03T01:17:10.298689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hQjo0gD1UxRTCDzYH0mB83JLA6MbUwqp6jT0t+ApiwBETg3U9w8NEj2e2hCzBZIJ7qHlk8BmWrDJhXINEt5UAw==","signature_status":"signed_v1","signed_at":"2026-07-03T01:17:10.299139Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.13070","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a6aeb342ebe4c7488be61384036cf068a18a2c0fedc6a116d9b78bfc17bd933","sha256:a76c2562131a755e40c335e6c7dc5ea2442bbc5762bcb267cc3b5c3e775fb120"],"state_sha256":"51118265f653b2250b845f7204dcd032301172d6d5437bc67bcb5bcc50d392a4"}