{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IO5HGTLLCTCTHTQ74JGWGV7LB5","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":"effd4d2e6852df0f504c9be207e0626f3e22b7b38fb758cdeed6361d04fdaeab","cross_cats_sorted":["q-fin.PM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.RM","submitted_at":"2011-10-07T06:18:51Z","title_canon_sha256":"0fbf2dfd08f009aecc92ccaf8383a9b8e02a7b403533f6fbbcd6318ebe3fa39e"},"schema_version":"1.0","source":{"id":"1110.1436","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1436","created_at":"2026-05-18T02:55:39Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1436v3","created_at":"2026-05-18T02:55:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1436","created_at":"2026-05-18T02:55:39Z"},{"alias_kind":"pith_short_12","alias_value":"IO5HGTLLCTCT","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IO5HGTLLCTCTHTQ7","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IO5HGTLL","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:6f0c49b31fcffd4b4d91f4a7615c9a82073c9280ac8979c95b0e480f8713ca20","target":"graph","created_at":"2026-05-18T02:55:39Z","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":"Starting from the requirement that risk measures of financial portfolios should be based on their losses, not their gains, we define the notion of loss-based risk measure and study the properties of this class of risk measures. We characterize loss-based risk measures by a representation theorem and give examples of such risk measures. We then discuss the statistical robustness of estimators of loss-based risk measures: we provide a general criterion for qualitative robustness of risk estimators and compare this criterion with sensitivity analysis of estimators based on influence functions. Fi","authors_text":"Rama Cont, Romain Deguest, Xuedong He","cross_cats":["q-fin.PM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.RM","submitted_at":"2011-10-07T06:18:51Z","title":"Loss-Based Risk Measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1436","kind":"arxiv","version":3},"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:b284c1c21f80c20f531a12454b1cc471bd890d7ce634f895145f37ba13a6e77e","target":"record","created_at":"2026-05-18T02:55:39Z","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":"effd4d2e6852df0f504c9be207e0626f3e22b7b38fb758cdeed6361d04fdaeab","cross_cats_sorted":["q-fin.PM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.RM","submitted_at":"2011-10-07T06:18:51Z","title_canon_sha256":"0fbf2dfd08f009aecc92ccaf8383a9b8e02a7b403533f6fbbcd6318ebe3fa39e"},"schema_version":"1.0","source":{"id":"1110.1436","kind":"arxiv","version":3}},"canonical_sha256":"43ba734d6b14c533ce1fe24d6357eb0f76f048ad67e7ffc2bed1980ff75d1ae8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43ba734d6b14c533ce1fe24d6357eb0f76f048ad67e7ffc2bed1980ff75d1ae8","first_computed_at":"2026-05-18T02:55:39.527501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:39.527501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YD5Z5nOV7aeyMVYk17meoQZAMAw3YMK1uyJzzDnbsMym1l7OHsghM98HZtKfrmcZtISMvZdoU+A0pIFF2TdUBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:39.528019Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.1436","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b284c1c21f80c20f531a12454b1cc471bd890d7ce634f895145f37ba13a6e77e","sha256:6f0c49b31fcffd4b4d91f4a7615c9a82073c9280ac8979c95b0e480f8713ca20"],"state_sha256":"fa9dc90f5105f55e638f4c6cf747b21b1f0a2fcce418068dd0df67ae1e77d6ee"}