{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:NYTG6GZWU5JJ3AFXUH6UTRB3FR","short_pith_number":"pith:NYTG6GZW","canonical_record":{"source":{"id":"1405.6677","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-05-26T18:45:49Z","cross_cats_sorted":["q-fin.RM","stat.TH"],"title_canon_sha256":"99eb3b434c221135369319492034491ab30aee4843a0776c071df9aae044df8d","abstract_canon_sha256":"3e7dd2f1152400b80a646fc7bc9db5ff712b173c17c12d0a3f02e4553e78bf94"},"schema_version":"1.0"},"canonical_sha256":"6e266f1b36a7529d80b7a1fd49c43b2c64c65936e3caa83511a5f5623f759725","source":{"kind":"arxiv","id":"1405.6677","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6677","created_at":"2026-05-18T01:23:19Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6677v4","created_at":"2026-05-18T01:23:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6677","created_at":"2026-05-18T01:23:19Z"},{"alias_kind":"pith_short_12","alias_value":"NYTG6GZWU5JJ","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NYTG6GZWU5JJ3AFX","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NYTG6GZW","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:NYTG6GZWU5JJ3AFXUH6UTRB3FR","target":"record","payload":{"canonical_record":{"source":{"id":"1405.6677","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-05-26T18:45:49Z","cross_cats_sorted":["q-fin.RM","stat.TH"],"title_canon_sha256":"99eb3b434c221135369319492034491ab30aee4843a0776c071df9aae044df8d","abstract_canon_sha256":"3e7dd2f1152400b80a646fc7bc9db5ff712b173c17c12d0a3f02e4553e78bf94"},"schema_version":"1.0"},"canonical_sha256":"6e266f1b36a7529d80b7a1fd49c43b2c64c65936e3caa83511a5f5623f759725","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:19.196250Z","signature_b64":"6JhslNRq0pUzfxpPshm7uyQMYTMkuLSWGP96eigzf3f1QBjHaKTDmBxvXcFCl6gxvbwHOokvtazylBEGSzznDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e266f1b36a7529d80b7a1fd49c43b2c64c65936e3caa83511a5f5623f759725","last_reissued_at":"2026-05-18T01:23:19.195493Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:19.195493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.6677","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:23:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P6Isa5kNSx/8Fq8VONcMMpfOBa5R9kzBQNmY4Vy54JXIrOuOWAovvwNPvCRfCMXPhqXJYyMg951TjwNqxVROCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:00:20.827296Z"},"content_sha256":"8d31bae62e638383aaad007db909c3a5e5f9d5a08a309c358375dcdd3d2733ec","schema_version":"1.0","event_id":"sha256:8d31bae62e638383aaad007db909c3a5e5f9d5a08a309c358375dcdd3d2733ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:NYTG6GZWU5JJ3AFXUH6UTRB3FR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bregman superquantiles. Estimation methods and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.RM","stat.TH"],"primary_cat":"math.ST","authors_text":"Aur\\'elien Garivier (IMT), Bertrand Iooss (GdR MASCOT-NUM), Fabrice Gamboa (IMT), Tatiana Labopin-Richard (IMT)","submitted_at":"2014-05-26T18:45:49Z","abstract_excerpt":"In this work, we extend some quantities introduced in \"Optimization of conditional value-at-risk\" of R.T Rockafellar and S. Uryasev to the case where the proximity between real numbers is measured by using a Bregman divergence. This leads to the definition of the Bregman superquantile. Axioms of a coherent measure of risk discussed in \"Coherent approches to risk in optimization under uncertainty\" of R.T Rockafellar are studied in the case of Bregman superquantile. Furthermore, we deal with asymptotic properties of a Monte Carlo estimator of the Bregman superquantile."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6677","kind":"arxiv","version":4},"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":"2026-05-18T01:23:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6+VwiocGDzNXOa+3yeytCwk3zedKd3GKNUGeYeDiE969bxT53rwsu6O7b0XLdMlrsfpKA+ED6l+LxsGHV9p0CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:00:20.827671Z"},"content_sha256":"5300d58949e1e316d3460968eff3681957e2e2541e3ea85a0a19440215fb3bd3","schema_version":"1.0","event_id":"sha256:5300d58949e1e316d3460968eff3681957e2e2541e3ea85a0a19440215fb3bd3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NYTG6GZWU5JJ3AFXUH6UTRB3FR/bundle.json","state_url":"https://pith.science/pith/NYTG6GZWU5JJ3AFXUH6UTRB3FR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NYTG6GZWU5JJ3AFXUH6UTRB3FR/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":"2026-06-03T20:00:20Z","links":{"resolver":"https://pith.science/pith/NYTG6GZWU5JJ3AFXUH6UTRB3FR","bundle":"https://pith.science/pith/NYTG6GZWU5JJ3AFXUH6UTRB3FR/bundle.json","state":"https://pith.science/pith/NYTG6GZWU5JJ3AFXUH6UTRB3FR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NYTG6GZWU5JJ3AFXUH6UTRB3FR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NYTG6GZWU5JJ3AFXUH6UTRB3FR","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":"3e7dd2f1152400b80a646fc7bc9db5ff712b173c17c12d0a3f02e4553e78bf94","cross_cats_sorted":["q-fin.RM","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-05-26T18:45:49Z","title_canon_sha256":"99eb3b434c221135369319492034491ab30aee4843a0776c071df9aae044df8d"},"schema_version":"1.0","source":{"id":"1405.6677","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6677","created_at":"2026-05-18T01:23:19Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6677v4","created_at":"2026-05-18T01:23:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6677","created_at":"2026-05-18T01:23:19Z"},{"alias_kind":"pith_short_12","alias_value":"NYTG6GZWU5JJ","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NYTG6GZWU5JJ3AFX","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NYTG6GZW","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:5300d58949e1e316d3460968eff3681957e2e2541e3ea85a0a19440215fb3bd3","target":"graph","created_at":"2026-05-18T01:23:19Z","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":"In this work, we extend some quantities introduced in \"Optimization of conditional value-at-risk\" of R.T Rockafellar and S. Uryasev to the case where the proximity between real numbers is measured by using a Bregman divergence. This leads to the definition of the Bregman superquantile. Axioms of a coherent measure of risk discussed in \"Coherent approches to risk in optimization under uncertainty\" of R.T Rockafellar are studied in the case of Bregman superquantile. Furthermore, we deal with asymptotic properties of a Monte Carlo estimator of the Bregman superquantile.","authors_text":"Aur\\'elien Garivier (IMT), Bertrand Iooss (GdR MASCOT-NUM), Fabrice Gamboa (IMT), Tatiana Labopin-Richard (IMT)","cross_cats":["q-fin.RM","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-05-26T18:45:49Z","title":"Bregman superquantiles. Estimation methods and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6677","kind":"arxiv","version":4},"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":"sha256:8d31bae62e638383aaad007db909c3a5e5f9d5a08a309c358375dcdd3d2733ec","target":"record","created_at":"2026-05-18T01:23:19Z","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":"3e7dd2f1152400b80a646fc7bc9db5ff712b173c17c12d0a3f02e4553e78bf94","cross_cats_sorted":["q-fin.RM","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-05-26T18:45:49Z","title_canon_sha256":"99eb3b434c221135369319492034491ab30aee4843a0776c071df9aae044df8d"},"schema_version":"1.0","source":{"id":"1405.6677","kind":"arxiv","version":4}},"canonical_sha256":"6e266f1b36a7529d80b7a1fd49c43b2c64c65936e3caa83511a5f5623f759725","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e266f1b36a7529d80b7a1fd49c43b2c64c65936e3caa83511a5f5623f759725","first_computed_at":"2026-05-18T01:23:19.195493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:19.195493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6JhslNRq0pUzfxpPshm7uyQMYTMkuLSWGP96eigzf3f1QBjHaKTDmBxvXcFCl6gxvbwHOokvtazylBEGSzznDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:19.196250Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.6677","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d31bae62e638383aaad007db909c3a5e5f9d5a08a309c358375dcdd3d2733ec","sha256:5300d58949e1e316d3460968eff3681957e2e2541e3ea85a0a19440215fb3bd3"],"state_sha256":"fe1d57f2e7b9c09d61b1a58d7ae42224b8d4a86cf7f7389c80fb6ddd635d6355"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"05ebL6X5X+k0URNzpnjxmoTTGsVP7RTnyMmPaaUq3BSQjn4qGwAk3I90bYEdALkl11ELUPA/C/1krAmJj+I7DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:00:20.829621Z","bundle_sha256":"21e75483fb997f5f52c384f2335e5f88837f979603f588cb50a5f52703559426"}}