{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SR6IMBR6XLYKH4S36CTGCTMJLF","short_pith_number":"pith:SR6IMBR6","canonical_record":{"source":{"id":"1704.06179","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-20T15:12:39Z","cross_cats_sorted":[],"title_canon_sha256":"3ca6e036095608e5e40db10994d5d87b035f958969a5f5657cb548c717eb92e5","abstract_canon_sha256":"c6e9db680a152a0b12feb535d465a01e66ec5fc3efde244e2a8991976e41238b"},"schema_version":"1.0"},"canonical_sha256":"947c86063ebaf0a3f25bf0a6614d89594de38e5b79150ccd69873844775545c6","source":{"kind":"arxiv","id":"1704.06179","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06179","created_at":"2026-05-18T00:25:05Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06179v3","created_at":"2026-05-18T00:25:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06179","created_at":"2026-05-18T00:25:05Z"},{"alias_kind":"pith_short_12","alias_value":"SR6IMBR6XLYK","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SR6IMBR6XLYKH4S3","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SR6IMBR6","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SR6IMBR6XLYKH4S36CTGCTMJLF","target":"record","payload":{"canonical_record":{"source":{"id":"1704.06179","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-20T15:12:39Z","cross_cats_sorted":[],"title_canon_sha256":"3ca6e036095608e5e40db10994d5d87b035f958969a5f5657cb548c717eb92e5","abstract_canon_sha256":"c6e9db680a152a0b12feb535d465a01e66ec5fc3efde244e2a8991976e41238b"},"schema_version":"1.0"},"canonical_sha256":"947c86063ebaf0a3f25bf0a6614d89594de38e5b79150ccd69873844775545c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:05.774908Z","signature_b64":"lHjkbSBJ1m3ib3yWcRItKrKlBP0p26tXIpox7F+bPdkLeagyr/6kBZoJ9ZXvfyO6cvWIWzNHuytww8juabzDCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"947c86063ebaf0a3f25bf0a6614d89594de38e5b79150ccd69873844775545c6","last_reissued_at":"2026-05-18T00:25:05.774516Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:05.774516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.06179","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":"2026-05-18T00:25:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lnDO1VZC1q//Mq4omTtTYc6WRCvTXf2nWwhrSeVVtrPPAkOkjgx3X1PyoGXEsc8sIn5ofiCGE1VQGDorwPMDAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T11:51:23.314761Z"},"content_sha256":"5ae4b0f9077fa8dc6cc3b04a4d28ea180029e4c4c91153e498eccc9eb8c0b945","schema_version":"1.0","event_id":"sha256:5ae4b0f9077fa8dc6cc3b04a4d28ea180029e4c4c91153e498eccc9eb8c0b945"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SR6IMBR6XLYKH4S36CTGCTMJLF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectral tail processes and max-stable approximations of multivariate regularly varying time series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Anja Jan{\\ss}en","submitted_at":"2017-04-20T15:12:39Z","abstract_excerpt":"A regularly varying time series as introduced in Basrak and Segers (2009) is a (multivariate) time series such that all finite dimensional distributions are multivariate regularly varying. The extremal behavior of such a process can then be described by the index of regular variation and the so-called spectral tail process, which is the limiting distribution of the rescaled process, given an extreme event at time 0. As shown in Basrak and Segers (2009), the stationarity of the underlying time series implies a certain structure of the spectral tail process, informally known as the \"time change "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06179","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":"2026-05-18T00:25:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H17m6ZBPrr4YhcCP3V9y+yUvxceD6fL7FIuWa8pSC06zvISQlWxPBptfd9X74MJpvVTj03/Vf8JpJRK0iGpoDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T11:51:23.315333Z"},"content_sha256":"5ef20428deeb91ed00c8976e5247909f923820c930596f0ec9ba34f10d62af2c","schema_version":"1.0","event_id":"sha256:5ef20428deeb91ed00c8976e5247909f923820c930596f0ec9ba34f10d62af2c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SR6IMBR6XLYKH4S36CTGCTMJLF/bundle.json","state_url":"https://pith.science/pith/SR6IMBR6XLYKH4S36CTGCTMJLF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SR6IMBR6XLYKH4S36CTGCTMJLF/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":"2026-06-28T11:51:23Z","links":{"resolver":"https://pith.science/pith/SR6IMBR6XLYKH4S36CTGCTMJLF","bundle":"https://pith.science/pith/SR6IMBR6XLYKH4S36CTGCTMJLF/bundle.json","state":"https://pith.science/pith/SR6IMBR6XLYKH4S36CTGCTMJLF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SR6IMBR6XLYKH4S36CTGCTMJLF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SR6IMBR6XLYKH4S36CTGCTMJLF","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":"c6e9db680a152a0b12feb535d465a01e66ec5fc3efde244e2a8991976e41238b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-20T15:12:39Z","title_canon_sha256":"3ca6e036095608e5e40db10994d5d87b035f958969a5f5657cb548c717eb92e5"},"schema_version":"1.0","source":{"id":"1704.06179","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06179","created_at":"2026-05-18T00:25:05Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06179v3","created_at":"2026-05-18T00:25:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06179","created_at":"2026-05-18T00:25:05Z"},{"alias_kind":"pith_short_12","alias_value":"SR6IMBR6XLYK","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SR6IMBR6XLYKH4S3","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SR6IMBR6","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:5ef20428deeb91ed00c8976e5247909f923820c930596f0ec9ba34f10d62af2c","target":"graph","created_at":"2026-05-18T00:25:05Z","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":"A regularly varying time series as introduced in Basrak and Segers (2009) is a (multivariate) time series such that all finite dimensional distributions are multivariate regularly varying. The extremal behavior of such a process can then be described by the index of regular variation and the so-called spectral tail process, which is the limiting distribution of the rescaled process, given an extreme event at time 0. As shown in Basrak and Segers (2009), the stationarity of the underlying time series implies a certain structure of the spectral tail process, informally known as the \"time change ","authors_text":"Anja Jan{\\ss}en","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-20T15:12:39Z","title":"Spectral tail processes and max-stable approximations of multivariate regularly varying time series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06179","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":"sha256:5ae4b0f9077fa8dc6cc3b04a4d28ea180029e4c4c91153e498eccc9eb8c0b945","target":"record","created_at":"2026-05-18T00:25:05Z","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":"c6e9db680a152a0b12feb535d465a01e66ec5fc3efde244e2a8991976e41238b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-20T15:12:39Z","title_canon_sha256":"3ca6e036095608e5e40db10994d5d87b035f958969a5f5657cb548c717eb92e5"},"schema_version":"1.0","source":{"id":"1704.06179","kind":"arxiv","version":3}},"canonical_sha256":"947c86063ebaf0a3f25bf0a6614d89594de38e5b79150ccd69873844775545c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"947c86063ebaf0a3f25bf0a6614d89594de38e5b79150ccd69873844775545c6","first_computed_at":"2026-05-18T00:25:05.774516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:05.774516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lHjkbSBJ1m3ib3yWcRItKrKlBP0p26tXIpox7F+bPdkLeagyr/6kBZoJ9ZXvfyO6cvWIWzNHuytww8juabzDCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:05.774908Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.06179","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ae4b0f9077fa8dc6cc3b04a4d28ea180029e4c4c91153e498eccc9eb8c0b945","sha256:5ef20428deeb91ed00c8976e5247909f923820c930596f0ec9ba34f10d62af2c"],"state_sha256":"0e58e229f4e4ece7a14f1092e17355593c61ae5a77fb448f02fc0d17de8b8ae2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YRI+UzvZoTbudQrCtyA7FSNk/F/nhOOJZo0j62YASwyxsI/jnlEbMqVJek0ZyZizpN/bNHZaDn1F3HvsDclRAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T11:51:23.318022Z","bundle_sha256":"4801867e47ab1a2f60664bd8b5514fea96071d7df44d542190be7b00fb4d8092"}}