{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:POYQKZEY66V4J7UDZQB573TGMA","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":"9e53bfdda02b51783d0aab14897502c6a1c0513a60cdea042fb2fdb8237f32d5","cross_cats_sorted":["q-fin.MF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-23T12:50:09Z","title_canon_sha256":"1d6b3043ddbae39d815300ff0f021c008d6cc766ba215e311084dd87ec1f69b7"},"schema_version":"1.0","source":{"id":"2412.17526","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.17526","created_at":"2026-07-05T09:53:23Z"},{"alias_kind":"arxiv_version","alias_value":"2412.17526v1","created_at":"2026-07-05T09:53:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.17526","created_at":"2026-07-05T09:53:23Z"},{"alias_kind":"pith_short_12","alias_value":"POYQKZEY66V4","created_at":"2026-07-05T09:53:23Z"},{"alias_kind":"pith_short_16","alias_value":"POYQKZEY66V4J7UD","created_at":"2026-07-05T09:53:23Z"},{"alias_kind":"pith_short_8","alias_value":"POYQKZEY","created_at":"2026-07-05T09:53:23Z"}],"graph_snapshots":[{"event_id":"sha256:289b79ca16837de5129958aae6888c2a029b2eb52c702d77ab327300ae15d782","target":"graph","created_at":"2026-07-05T09:53:23Z","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/2412.17526/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the state spaces of multifactor Markovian processes, coming from approximations of nonnegative Volterra processes, are given by explicit linear transformation of the nonnegative orthant. We demonstrate the usefulness of this result for applications, including simulation schemes and PDE methods for nonnegative Volterra processes.","authors_text":"Christian Bayer, Eduardo Abi Jaber, Simon Breneis","cross_cats":["q-fin.MF"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-23T12:50:09Z","title":"State spaces of multifactor approximations of nonnegative Volterra processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.17526","kind":"arxiv","version":1},"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":"sha256:5760c83bd29f51258ba7f322b4f11a522b074452955f7ec92aac9f1b37f6d51d","target":"record","created_at":"2026-07-05T09:53:23Z","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":"9e53bfdda02b51783d0aab14897502c6a1c0513a60cdea042fb2fdb8237f32d5","cross_cats_sorted":["q-fin.MF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-23T12:50:09Z","title_canon_sha256":"1d6b3043ddbae39d815300ff0f021c008d6cc766ba215e311084dd87ec1f69b7"},"schema_version":"1.0","source":{"id":"2412.17526","kind":"arxiv","version":1}},"canonical_sha256":"7bb1056498f7abc4fe83cc03dfee66602ca57a05afda3657e0cb8687c9e6b336","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bb1056498f7abc4fe83cc03dfee66602ca57a05afda3657e0cb8687c9e6b336","first_computed_at":"2026-07-05T09:53:23.694051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:53:23.694051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w6GT4d4JvZI2XLflzPmjmNn9h1KK5sJV0segQOaZKMucgxey4FVzyJfQaZ563KfGpq0TaGbAnL2HlWqTasHFAA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:53:23.694572Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.17526","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5760c83bd29f51258ba7f322b4f11a522b074452955f7ec92aac9f1b37f6d51d","sha256:289b79ca16837de5129958aae6888c2a029b2eb52c702d77ab327300ae15d782"],"state_sha256":"e24d28a7c2eb481f2eb00956452c13f2760a12c50ab603bee510f503d59a7e85"}