{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VRECSGRSMX2ZSKMHE2ENOI44YW","short_pith_number":"pith:VRECSGRS","canonical_record":{"source":{"id":"1405.1326","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-05-06T15:42:31Z","cross_cats_sorted":["math.ST","q-fin.RM","q-fin.ST","stat.ME","stat.TH"],"title_canon_sha256":"bd60d7a8bbca8035f57f3cc3359e2506f36a9b6113cedbdca05c9780169c0a28","abstract_canon_sha256":"b75912cb7cb7f66c1681d299969fbec37aef80374fae167f9159760c51b749f5"},"schema_version":"1.0"},"canonical_sha256":"ac48291a3265f59929872688d7239cc5b4606bce965a4d5ae2b5ae225d3fcc8c","source":{"kind":"arxiv","id":"1405.1326","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1326","created_at":"2026-05-18T01:11:00Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1326v3","created_at":"2026-05-18T01:11:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1326","created_at":"2026-05-18T01:11:00Z"},{"alias_kind":"pith_short_12","alias_value":"VRECSGRSMX2Z","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VRECSGRSMX2ZSKMH","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VRECSGRS","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VRECSGRSMX2ZSKMHE2ENOI44YW","target":"record","payload":{"canonical_record":{"source":{"id":"1405.1326","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-05-06T15:42:31Z","cross_cats_sorted":["math.ST","q-fin.RM","q-fin.ST","stat.ME","stat.TH"],"title_canon_sha256":"bd60d7a8bbca8035f57f3cc3359e2506f36a9b6113cedbdca05c9780169c0a28","abstract_canon_sha256":"b75912cb7cb7f66c1681d299969fbec37aef80374fae167f9159760c51b749f5"},"schema_version":"1.0"},"canonical_sha256":"ac48291a3265f59929872688d7239cc5b4606bce965a4d5ae2b5ae225d3fcc8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:00.459495Z","signature_b64":"6FmYFcxNK5sIa2eAptY9c2d+cUX72xN6+wP/xnkrcrSZNz0Sf+4eGx9gcRj90d/roKzEm7i7GOm4m2IeJabHDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac48291a3265f59929872688d7239cc5b4606bce965a4d5ae2b5ae225d3fcc8c","last_reissued_at":"2026-05-18T01:11:00.458809Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:00.458809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.1326","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LyZVXGB5fKI/HQExfyOoU7dQvzLwKkFVOaSZ+kFjMkGzSmrgHHS2kDbGRUzr+gi4xpl7Wa98RlfD4gUqh925Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:30:19.272650Z"},"content_sha256":"2f112be4e7832dd51ebd3e25803537dc29a009465aacfef29766d8330db95d7e","schema_version":"1.0","event_id":"sha256:2f112be4e7832dd51ebd3e25803537dc29a009465aacfef29766d8330db95d7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VRECSGRSMX2ZSKMHE2ENOI44YW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Paths and indices of maximal tail dependence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","q-fin.RM","q-fin.ST","stat.ME","stat.TH"],"primary_cat":"math.PR","authors_text":"Edward Furman, Jianxi Su, Ri\\v{c}ardas Zitikis","submitted_at":"2014-05-06T15:42:31Z","abstract_excerpt":"We demonstrate both analytically and numerically that the existing methods for measuring tail dependence in copulas may sometimes underestimate the extent of extreme co-movements of dependent risks and, therefore, may not always comply with the new paradigm of prudent risk management. This phenomenon holds in the context of both symmetric and asymmetric copulas with and without singularities. As a remedy, we introduce a notion of paths of maximal (tail) dependence and utilize it to propose several new indices of tail dependence. The suggested new indices are conservative, conform with the basi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1326","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A51GXOWkla6NLzWnQQNBAhjwpOTgA0k0IDA4wZvl/ZXooiUVMao/O+XhVW/t4ROzC/ptCMaOn5kKL4wkZO9BCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:30:19.273307Z"},"content_sha256":"0fd58c86619ecbd5d583c402ae57bda8ea9d38c91b7046bf5d043b57c45f40a5","schema_version":"1.0","event_id":"sha256:0fd58c86619ecbd5d583c402ae57bda8ea9d38c91b7046bf5d043b57c45f40a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VRECSGRSMX2ZSKMHE2ENOI44YW/bundle.json","state_url":"https://pith.science/pith/VRECSGRSMX2ZSKMHE2ENOI44YW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VRECSGRSMX2ZSKMHE2ENOI44YW/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":"2026-06-05T00:30:19Z","links":{"resolver":"https://pith.science/pith/VRECSGRSMX2ZSKMHE2ENOI44YW","bundle":"https://pith.science/pith/VRECSGRSMX2ZSKMHE2ENOI44YW/bundle.json","state":"https://pith.science/pith/VRECSGRSMX2ZSKMHE2ENOI44YW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VRECSGRSMX2ZSKMHE2ENOI44YW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VRECSGRSMX2ZSKMHE2ENOI44YW","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":"b75912cb7cb7f66c1681d299969fbec37aef80374fae167f9159760c51b749f5","cross_cats_sorted":["math.ST","q-fin.RM","q-fin.ST","stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-05-06T15:42:31Z","title_canon_sha256":"bd60d7a8bbca8035f57f3cc3359e2506f36a9b6113cedbdca05c9780169c0a28"},"schema_version":"1.0","source":{"id":"1405.1326","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1326","created_at":"2026-05-18T01:11:00Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1326v3","created_at":"2026-05-18T01:11:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1326","created_at":"2026-05-18T01:11:00Z"},{"alias_kind":"pith_short_12","alias_value":"VRECSGRSMX2Z","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VRECSGRSMX2ZSKMH","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VRECSGRS","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:0fd58c86619ecbd5d583c402ae57bda8ea9d38c91b7046bf5d043b57c45f40a5","target":"graph","created_at":"2026-05-18T01:11:00Z","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":"We demonstrate both analytically and numerically that the existing methods for measuring tail dependence in copulas may sometimes underestimate the extent of extreme co-movements of dependent risks and, therefore, may not always comply with the new paradigm of prudent risk management. This phenomenon holds in the context of both symmetric and asymmetric copulas with and without singularities. As a remedy, we introduce a notion of paths of maximal (tail) dependence and utilize it to propose several new indices of tail dependence. The suggested new indices are conservative, conform with the basi","authors_text":"Edward Furman, Jianxi Su, Ri\\v{c}ardas Zitikis","cross_cats":["math.ST","q-fin.RM","q-fin.ST","stat.ME","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-05-06T15:42:31Z","title":"Paths and indices of maximal tail dependence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1326","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":"sha256:2f112be4e7832dd51ebd3e25803537dc29a009465aacfef29766d8330db95d7e","target":"record","created_at":"2026-05-18T01:11:00Z","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":"b75912cb7cb7f66c1681d299969fbec37aef80374fae167f9159760c51b749f5","cross_cats_sorted":["math.ST","q-fin.RM","q-fin.ST","stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-05-06T15:42:31Z","title_canon_sha256":"bd60d7a8bbca8035f57f3cc3359e2506f36a9b6113cedbdca05c9780169c0a28"},"schema_version":"1.0","source":{"id":"1405.1326","kind":"arxiv","version":3}},"canonical_sha256":"ac48291a3265f59929872688d7239cc5b4606bce965a4d5ae2b5ae225d3fcc8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac48291a3265f59929872688d7239cc5b4606bce965a4d5ae2b5ae225d3fcc8c","first_computed_at":"2026-05-18T01:11:00.458809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:00.458809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6FmYFcxNK5sIa2eAptY9c2d+cUX72xN6+wP/xnkrcrSZNz0Sf+4eGx9gcRj90d/roKzEm7i7GOm4m2IeJabHDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:00.459495Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.1326","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f112be4e7832dd51ebd3e25803537dc29a009465aacfef29766d8330db95d7e","sha256:0fd58c86619ecbd5d583c402ae57bda8ea9d38c91b7046bf5d043b57c45f40a5"],"state_sha256":"505346354a9619ccfc627e09afd6bf1fdacb9c79433b5c64df36b890e6e27e74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vxV3Kg1Cx6oj4uM0txMh8GiztC5vEHmB/tzkX3dYbHV1FpM39pJ4onIym46CoqPxS2hy5ycuFJTrpOxlCESvCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T00:30:19.276663Z","bundle_sha256":"5956f8b7b336ad4b106ed038ee3f4b7e75f4d5a7cdb894ab196b55b0fcd2afcb"}}