{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:OKMTHZBUG4BMAQHXBI4ZY4KPLV","short_pith_number":"pith:OKMTHZBU","schema_version":"1.0","canonical_sha256":"729933e4343702c040f70a399c714f5d43c97436c54ca3cb8ea9d1b0e3cafd1c","source":{"kind":"arxiv","id":"1104.1773","version":3},"attestation_state":"computed","paper":{"title":"Default clustering in large portfolios: Typical events","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","q-fin.CP"],"primary_cat":"q-fin.RM","authors_text":"Kay Giesecke, Konstantinos Spiliopoulos, Richard B. Sowers","submitted_at":"2011-04-10T14:53:27Z","abstract_excerpt":"We develop a dynamic point process model of correlated default timing in a portfolio of firms, and analyze typical default profiles in the limit as the size of the pool grows. In our model, a firm defaults at a stochastic intensity that is influenced by an idiosyncratic risk process, a systematic risk process common to all firms, and past defaults. We prove a law of large numbers for the default rate in the pool, which describes the \"typical\" behavior of defaults."},"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":"1104.1773","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.RM","submitted_at":"2011-04-10T14:53:27Z","cross_cats_sorted":["math.PR","q-fin.CP"],"title_canon_sha256":"530f9d665c72cdee6d1e82e26a72ae7ec818adddc274fcdcd46bbf7bf21356ba","abstract_canon_sha256":"4658e934e0b1132f4c443ab7524aac9d717db6bbd00638ae23f25d389418a167"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:00.122024Z","signature_b64":"/izm51MlhpP5KXFJZ4ngBDQsO0r6yop377Cbc/TPkeFCJba7OxGuH0OVZSPjgDko3G1b6Iy2viHcemHoY3MGAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"729933e4343702c040f70a399c714f5d43c97436c54ca3cb8ea9d1b0e3cafd1c","last_reissued_at":"2026-05-18T03:34:00.121219Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:00.121219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Default clustering in large portfolios: Typical events","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","q-fin.CP"],"primary_cat":"q-fin.RM","authors_text":"Kay Giesecke, Konstantinos Spiliopoulos, Richard B. Sowers","submitted_at":"2011-04-10T14:53:27Z","abstract_excerpt":"We develop a dynamic point process model of correlated default timing in a portfolio of firms, and analyze typical default profiles in the limit as the size of the pool grows. In our model, a firm defaults at a stochastic intensity that is influenced by an idiosyncratic risk process, a systematic risk process common to all firms, and past defaults. We prove a law of large numbers for the default rate in the pool, which describes the \"typical\" behavior of defaults."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1773","kind":"arxiv","version":3},"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":"1104.1773","created_at":"2026-05-18T03:34:00.121343+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.1773v3","created_at":"2026-05-18T03:34:00.121343+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1773","created_at":"2026-05-18T03:34:00.121343+00:00"},{"alias_kind":"pith_short_12","alias_value":"OKMTHZBUG4BM","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_16","alias_value":"OKMTHZBUG4BMAQHX","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_8","alias_value":"OKMTHZBU","created_at":"2026-05-18T12:26:37.096874+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/OKMTHZBUG4BMAQHXBI4ZY4KPLV","json":"https://pith.science/pith/OKMTHZBUG4BMAQHXBI4ZY4KPLV.json","graph_json":"https://pith.science/api/pith-number/OKMTHZBUG4BMAQHXBI4ZY4KPLV/graph.json","events_json":"https://pith.science/api/pith-number/OKMTHZBUG4BMAQHXBI4ZY4KPLV/events.json","paper":"https://pith.science/paper/OKMTHZBU"},"agent_actions":{"view_html":"https://pith.science/pith/OKMTHZBUG4BMAQHXBI4ZY4KPLV","download_json":"https://pith.science/pith/OKMTHZBUG4BMAQHXBI4ZY4KPLV.json","view_paper":"https://pith.science/paper/OKMTHZBU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.1773&json=true","fetch_graph":"https://pith.science/api/pith-number/OKMTHZBUG4BMAQHXBI4ZY4KPLV/graph.json","fetch_events":"https://pith.science/api/pith-number/OKMTHZBUG4BMAQHXBI4ZY4KPLV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OKMTHZBUG4BMAQHXBI4ZY4KPLV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OKMTHZBUG4BMAQHXBI4ZY4KPLV/action/storage_attestation","attest_author":"https://pith.science/pith/OKMTHZBUG4BMAQHXBI4ZY4KPLV/action/author_attestation","sign_citation":"https://pith.science/pith/OKMTHZBUG4BMAQHXBI4ZY4KPLV/action/citation_signature","submit_replication":"https://pith.science/pith/OKMTHZBUG4BMAQHXBI4ZY4KPLV/action/replication_record"}},"created_at":"2026-05-18T03:34:00.121343+00:00","updated_at":"2026-05-18T03:34:00.121343+00:00"}