{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:K2PS3OFED6KLJAH7YVQ2WLGL7U","short_pith_number":"pith:K2PS3OFE","canonical_record":{"source":{"id":"1103.5409","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.RM","submitted_at":"2011-03-28T16:36:10Z","cross_cats_sorted":["q-fin.ST"],"title_canon_sha256":"e30cd0ff043e543f4a060e36779b0f334ab1697201370478ccb35fee9149579d","abstract_canon_sha256":"db0d75b11535215cab4acacb91d66ca337f4afd63c7d8f25ec2447c193b38d2f"},"schema_version":"1.0"},"canonical_sha256":"569f2db8a41f94b480ffc561ab2ccbfd00b24ead5259313e0c82c5508f11189e","source":{"kind":"arxiv","id":"1103.5409","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5409","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5409v1","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5409","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"pith_short_12","alias_value":"K2PS3OFED6KL","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"K2PS3OFED6KLJAH7","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"K2PS3OFE","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:K2PS3OFED6KLJAH7YVQ2WLGL7U","target":"record","payload":{"canonical_record":{"source":{"id":"1103.5409","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.RM","submitted_at":"2011-03-28T16:36:10Z","cross_cats_sorted":["q-fin.ST"],"title_canon_sha256":"e30cd0ff043e543f4a060e36779b0f334ab1697201370478ccb35fee9149579d","abstract_canon_sha256":"db0d75b11535215cab4acacb91d66ca337f4afd63c7d8f25ec2447c193b38d2f"},"schema_version":"1.0"},"canonical_sha256":"569f2db8a41f94b480ffc561ab2ccbfd00b24ead5259313e0c82c5508f11189e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:25:38.133638Z","signature_b64":"TqHdCf/QuFLnJxowlXYQCW3OUx2tyeTFv/+JclEcjw4ipITb4qR7E1oC59sNSuCR4CZ/OX0DsJBk5ie0uSR+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"569f2db8a41f94b480ffc561ab2ccbfd00b24ead5259313e0c82c5508f11189e","last_reissued_at":"2026-05-18T04:25:38.133215Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:25:38.133215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.5409","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:25:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cOBS9txT8KuZ7TKlaUw6eaT0UaQwsOZlgKbOu3SLPvsrya3d0Ft0Viql2vF0uLaMi9Gam1tN/hv1KpiT/xDuBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T06:22:45.810162Z"},"content_sha256":"2fc85d88fb4e60417937a75ebe6b6f706f6176845b6b77c7f2792e4926cfa5c8","schema_version":"1.0","event_id":"sha256:2fc85d88fb4e60417937a75ebe6b6f706f6176845b6b77c7f2792e4926cfa5c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:K2PS3OFED6KLJAH7YVQ2WLGL7U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exponential Spectral Risk Measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.ST"],"primary_cat":"q-fin.RM","authors_text":"John Cotter, Kevin Dowd","submitted_at":"2011-03-28T16:36:10Z","abstract_excerpt":"Spectral risk measures are attractive risk measures as they allow the user to obtain risk measures that reflect their subjective risk-aversion. This paper examines spectral risk measures based on an exponential utility function, and finds that these risk measures have nice intuitive properties. It also discusses how they can be estimated using numerical quadrature methods, and how confidence intervals for them can be estimated using a parametric bootstrap. Illustrative results suggest that estimated exponential spectral risk measures obtained using such methods are quite precise in the presenc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5409","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:25:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fFRDlYbrq0wvErREe6uWPPkQDCXWEeeuJA9IwpG7M/wrph/LEmL2cy2B94ZJyHJ032CiYYss+5GfNQUG/5/RBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T06:22:45.810514Z"},"content_sha256":"1e48f5010b0371315f50945e54baf670f8d91cd0b786d803f6dac0e4f284d675","schema_version":"1.0","event_id":"sha256:1e48f5010b0371315f50945e54baf670f8d91cd0b786d803f6dac0e4f284d675"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K2PS3OFED6KLJAH7YVQ2WLGL7U/bundle.json","state_url":"https://pith.science/pith/K2PS3OFED6KLJAH7YVQ2WLGL7U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K2PS3OFED6KLJAH7YVQ2WLGL7U/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T06:22:45Z","links":{"resolver":"https://pith.science/pith/K2PS3OFED6KLJAH7YVQ2WLGL7U","bundle":"https://pith.science/pith/K2PS3OFED6KLJAH7YVQ2WLGL7U/bundle.json","state":"https://pith.science/pith/K2PS3OFED6KLJAH7YVQ2WLGL7U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K2PS3OFED6KLJAH7YVQ2WLGL7U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:K2PS3OFED6KLJAH7YVQ2WLGL7U","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":"db0d75b11535215cab4acacb91d66ca337f4afd63c7d8f25ec2447c193b38d2f","cross_cats_sorted":["q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.RM","submitted_at":"2011-03-28T16:36:10Z","title_canon_sha256":"e30cd0ff043e543f4a060e36779b0f334ab1697201370478ccb35fee9149579d"},"schema_version":"1.0","source":{"id":"1103.5409","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5409","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5409v1","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5409","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"pith_short_12","alias_value":"K2PS3OFED6KL","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"K2PS3OFED6KLJAH7","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"K2PS3OFE","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:1e48f5010b0371315f50945e54baf670f8d91cd0b786d803f6dac0e4f284d675","target":"graph","created_at":"2026-05-18T04:25:38Z","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":"Spectral risk measures are attractive risk measures as they allow the user to obtain risk measures that reflect their subjective risk-aversion. This paper examines spectral risk measures based on an exponential utility function, and finds that these risk measures have nice intuitive properties. It also discusses how they can be estimated using numerical quadrature methods, and how confidence intervals for them can be estimated using a parametric bootstrap. Illustrative results suggest that estimated exponential spectral risk measures obtained using such methods are quite precise in the presenc","authors_text":"John Cotter, Kevin Dowd","cross_cats":["q-fin.ST"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.RM","submitted_at":"2011-03-28T16:36:10Z","title":"Exponential Spectral Risk Measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5409","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":"sha256:2fc85d88fb4e60417937a75ebe6b6f706f6176845b6b77c7f2792e4926cfa5c8","target":"record","created_at":"2026-05-18T04:25:38Z","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":"db0d75b11535215cab4acacb91d66ca337f4afd63c7d8f25ec2447c193b38d2f","cross_cats_sorted":["q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.RM","submitted_at":"2011-03-28T16:36:10Z","title_canon_sha256":"e30cd0ff043e543f4a060e36779b0f334ab1697201370478ccb35fee9149579d"},"schema_version":"1.0","source":{"id":"1103.5409","kind":"arxiv","version":1}},"canonical_sha256":"569f2db8a41f94b480ffc561ab2ccbfd00b24ead5259313e0c82c5508f11189e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"569f2db8a41f94b480ffc561ab2ccbfd00b24ead5259313e0c82c5508f11189e","first_computed_at":"2026-05-18T04:25:38.133215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:38.133215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TqHdCf/QuFLnJxowlXYQCW3OUx2tyeTFv/+JclEcjw4ipITb4qR7E1oC59sNSuCR4CZ/OX0DsJBk5ie0uSR+AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:38.133638Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5409","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fc85d88fb4e60417937a75ebe6b6f706f6176845b6b77c7f2792e4926cfa5c8","sha256:1e48f5010b0371315f50945e54baf670f8d91cd0b786d803f6dac0e4f284d675"],"state_sha256":"32cd96ab8f7f4930f006b07860615e7b14f0048ff8aeff2d87c10c413d93e13e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JHuEMY3zh//E4/62zRtAWw5PyzyjjM9vAWugv4qMxdozwL3d2IdrFjyRzrRtu3sLckKeVqtgxjTdAw5VsNCABQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T06:22:45.812266Z","bundle_sha256":"22162988aca7d828c242c8affeea1d5fe10f1687bc4504eafce43699559751ec"}}