{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:Z57TTYL6LDCMTHEB6YJIV2ME3P","short_pith_number":"pith:Z57TTYL6","schema_version":"1.0","canonical_sha256":"cf7f39e17e58c4c99c81f6128ae984dbffefb90e9ed0b0b063e2a05d65c3259a","source":{"kind":"arxiv","id":"1311.0688","version":2},"attestation_state":"computed","paper":{"title":"Affine HJM Framework on $S_{d}^{+}$ and Long-Term Yield","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.PR","authors_text":"Alessandro Gnoatto, Francesca Biagini, Maximilian H\\\"artel","submitted_at":"2013-11-04T13:13:21Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1311.0688","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PR","submitted_at":"2013-11-04T13:13:21Z","cross_cats_sorted":[],"title_canon_sha256":"725eac1192f244b2e02fc32ed2cb669b783a3ada01d315b42a2cbce975baa0ea","abstract_canon_sha256":"b8722bb78164138ba21b757e03f5f5773a1ad7d88a9e18a5a36fa5e12844be3e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:59.414861Z","signature_b64":"DeUYOVwWUdV204WRHlmWBvYJqaQ44uBUokvPz+au0yiwYb4RPYN3m9RANV8tGjPsx+DkvfBX/Esp9NZwjJOqCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf7f39e17e58c4c99c81f6128ae984dbffefb90e9ed0b0b063e2a05d65c3259a","last_reissued_at":"2026-05-18T01:34:59.414264Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:59.414264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Affine HJM Framework on $S_{d}^{+}$ and Long-Term Yield","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.PR","authors_text":"Alessandro Gnoatto, Francesca Biagini, Maximilian H\\\"artel","submitted_at":"2013-11-04T13:13:21Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0688","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1311.0688","created_at":"2026-05-18T01:34:59.414346+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.0688v2","created_at":"2026-05-18T01:34:59.414346+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0688","created_at":"2026-05-18T01:34:59.414346+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z57TTYL6LDCM","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z57TTYL6LDCMTHEB","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z57TTYL6","created_at":"2026-05-18T12:28:09.283467+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Z57TTYL6LDCMTHEB6YJIV2ME3P","json":"https://pith.science/pith/Z57TTYL6LDCMTHEB6YJIV2ME3P.json","graph_json":"https://pith.science/api/pith-number/Z57TTYL6LDCMTHEB6YJIV2ME3P/graph.json","events_json":"https://pith.science/api/pith-number/Z57TTYL6LDCMTHEB6YJIV2ME3P/events.json","paper":"https://pith.science/paper/Z57TTYL6"},"agent_actions":{"view_html":"https://pith.science/pith/Z57TTYL6LDCMTHEB6YJIV2ME3P","download_json":"https://pith.science/pith/Z57TTYL6LDCMTHEB6YJIV2ME3P.json","view_paper":"https://pith.science/paper/Z57TTYL6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.0688&json=true","fetch_graph":"https://pith.science/api/pith-number/Z57TTYL6LDCMTHEB6YJIV2ME3P/graph.json","fetch_events":"https://pith.science/api/pith-number/Z57TTYL6LDCMTHEB6YJIV2ME3P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z57TTYL6LDCMTHEB6YJIV2ME3P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z57TTYL6LDCMTHEB6YJIV2ME3P/action/storage_attestation","attest_author":"https://pith.science/pith/Z57TTYL6LDCMTHEB6YJIV2ME3P/action/author_attestation","sign_citation":"https://pith.science/pith/Z57TTYL6LDCMTHEB6YJIV2ME3P/action/citation_signature","submit_replication":"https://pith.science/pith/Z57TTYL6LDCMTHEB6YJIV2ME3P/action/replication_record"}},"created_at":"2026-05-18T01:34:59.414346+00:00","updated_at":"2026-05-18T01:34:59.414346+00:00"}