{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Z57TTYL6LDCMTHEB6YJIV2ME3P","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":"b8722bb78164138ba21b757e03f5f5773a1ad7d88a9e18a5a36fa5e12844be3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2013-11-04T13:13:21Z","title_canon_sha256":"725eac1192f244b2e02fc32ed2cb669b783a3ada01d315b42a2cbce975baa0ea"},"schema_version":"1.0","source":{"id":"1311.0688","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0688","created_at":"2026-05-18T01:34:59Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0688v2","created_at":"2026-05-18T01:34:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0688","created_at":"2026-05-18T01:34:59Z"},{"alias_kind":"pith_short_12","alias_value":"Z57TTYL6LDCM","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"Z57TTYL6LDCMTHEB","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"Z57TTYL6","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:da334fc8271ad3936d89f44992e7e47776cf718eba6ea2824ca9dc597a87bfbc","target":"graph","created_at":"2026-05-18T01:34:59Z","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":"We develop the HJM framework for forward rates driven by affine processes on the state space of symmetric positive matrices. In this setting we find a representation for the long-term yield and investigate the yield's asymptotic behaviour.","authors_text":"Alessandro Gnoatto, Francesca Biagini, Maximilian H\\\"artel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2013-11-04T13:13:21Z","title":"Affine HJM Framework on $S_{d}^{+}$ and Long-Term Yield"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0688","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:b2193fa0e5355756b57ae48eb701d375c46f36da8ab8c08e31e0edcad057d454","target":"record","created_at":"2026-05-18T01:34:59Z","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":"b8722bb78164138ba21b757e03f5f5773a1ad7d88a9e18a5a36fa5e12844be3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2013-11-04T13:13:21Z","title_canon_sha256":"725eac1192f244b2e02fc32ed2cb669b783a3ada01d315b42a2cbce975baa0ea"},"schema_version":"1.0","source":{"id":"1311.0688","kind":"arxiv","version":2}},"canonical_sha256":"cf7f39e17e58c4c99c81f6128ae984dbffefb90e9ed0b0b063e2a05d65c3259a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf7f39e17e58c4c99c81f6128ae984dbffefb90e9ed0b0b063e2a05d65c3259a","first_computed_at":"2026-05-18T01:34:59.414264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:59.414264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DeUYOVwWUdV204WRHlmWBvYJqaQ44uBUokvPz+au0yiwYb4RPYN3m9RANV8tGjPsx+DkvfBX/Esp9NZwjJOqCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:59.414861Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.0688","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2193fa0e5355756b57ae48eb701d375c46f36da8ab8c08e31e0edcad057d454","sha256:da334fc8271ad3936d89f44992e7e47776cf718eba6ea2824ca9dc597a87bfbc"],"state_sha256":"f3fe08ca3ee667a625485f2e0fd0a67e67c5823bd58252deebd41c3d7c229672"}