{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:SP5PIJ5P5OC7G6V3RSWVH6CZG3","short_pith_number":"pith:SP5PIJ5P","canonical_record":{"source":{"id":"2505.23103","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-05-29T05:09:27Z","cross_cats_sorted":[],"title_canon_sha256":"edd1a49e73bf26e711ed05d8f8cb8c43fdf46d0af252b66698155ea4f377bcd0","abstract_canon_sha256":"69f3c1804515e371a1f4bdbfe37f5fcbf8c59700aa6f7c601fca6e3f6b0ea691"},"schema_version":"1.0"},"canonical_sha256":"93faf427afeb85f37abb8cad53f85936e6c2cec910301328828504e15cc8f3c4","source":{"kind":"arxiv","id":"2505.23103","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.23103","created_at":"2026-07-05T11:31:45Z"},{"alias_kind":"arxiv_version","alias_value":"2505.23103v2","created_at":"2026-07-05T11:31:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.23103","created_at":"2026-07-05T11:31:45Z"},{"alias_kind":"pith_short_12","alias_value":"SP5PIJ5P5OC7","created_at":"2026-07-05T11:31:45Z"},{"alias_kind":"pith_short_16","alias_value":"SP5PIJ5P5OC7G6V3","created_at":"2026-07-05T11:31:45Z"},{"alias_kind":"pith_short_8","alias_value":"SP5PIJ5P","created_at":"2026-07-05T11:31:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:SP5PIJ5P5OC7G6V3RSWVH6CZG3","target":"record","payload":{"canonical_record":{"source":{"id":"2505.23103","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-05-29T05:09:27Z","cross_cats_sorted":[],"title_canon_sha256":"edd1a49e73bf26e711ed05d8f8cb8c43fdf46d0af252b66698155ea4f377bcd0","abstract_canon_sha256":"69f3c1804515e371a1f4bdbfe37f5fcbf8c59700aa6f7c601fca6e3f6b0ea691"},"schema_version":"1.0"},"canonical_sha256":"93faf427afeb85f37abb8cad53f85936e6c2cec910301328828504e15cc8f3c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:31:45.752638Z","signature_b64":"2CzfSVrsyaaF6C1Ix26ofJqH5OzZ4CVancax31sJEK7xlSejHkzh4OwF9e7huKOJ8aUcg/rObDskowsSboZHBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93faf427afeb85f37abb8cad53f85936e6c2cec910301328828504e15cc8f3c4","last_reissued_at":"2026-07-05T11:31:45.752132Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:31:45.752132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.23103","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:31:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AcrSwZFNIKtwrER+qnrHRzsc9fmWZCOqSADrWLf5elLvj0BfmvB8PuBw3odkT7AYBsgFBT+SXm1xrTQfl94uAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T06:24:11.231420Z"},"content_sha256":"629cb856b6df2846b0a94a604fa13502d12aece6575abedf70534ef502ae361a","schema_version":"1.0","event_id":"sha256:629cb856b6df2846b0a94a604fa13502d12aece6575abedf70534ef502ae361a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:SP5PIJ5P5OC7G6V3RSWVH6CZG3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Moderately Heavy Extreme Values under Extreme Long Range Dependence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Zao-Li Chen","submitted_at":"2025-05-29T05:09:27Z","abstract_excerpt":"We consider stationary sequences whose marginal tail is subexponential and lies in the Gumbel Maximum domain of attraction. Due to the extremely strong dependence, their extreme values are caused by multiple big values and are clustered in the large scale with fractal features. We establish functional extremal limit theorems with non-Gumbel limit objects to characterize these delicate phenomena."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.23103","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.23103/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:31:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q+fk1F+gALMHgB0gQM59UDmE0DoO0a1L5QbnF9MJT70fraDu2PvHxTqaJxQAPOCTW5IQqkod3Gw+tE5YSyoIDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T06:24:11.232401Z"},"content_sha256":"40bdb207706bf7f1541f6dbe5a9bd8c787f5def110a8e4f317bc3b4bca274171","schema_version":"1.0","event_id":"sha256:40bdb207706bf7f1541f6dbe5a9bd8c787f5def110a8e4f317bc3b4bca274171"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SP5PIJ5P5OC7G6V3RSWVH6CZG3/bundle.json","state_url":"https://pith.science/pith/SP5PIJ5P5OC7G6V3RSWVH6CZG3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SP5PIJ5P5OC7G6V3RSWVH6CZG3/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":"2026-08-08T06:24:11Z","links":{"resolver":"https://pith.science/pith/SP5PIJ5P5OC7G6V3RSWVH6CZG3","bundle":"https://pith.science/pith/SP5PIJ5P5OC7G6V3RSWVH6CZG3/bundle.json","state":"https://pith.science/pith/SP5PIJ5P5OC7G6V3RSWVH6CZG3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SP5PIJ5P5OC7G6V3RSWVH6CZG3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:SP5PIJ5P5OC7G6V3RSWVH6CZG3","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":"69f3c1804515e371a1f4bdbfe37f5fcbf8c59700aa6f7c601fca6e3f6b0ea691","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-05-29T05:09:27Z","title_canon_sha256":"edd1a49e73bf26e711ed05d8f8cb8c43fdf46d0af252b66698155ea4f377bcd0"},"schema_version":"1.0","source":{"id":"2505.23103","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.23103","created_at":"2026-07-05T11:31:45Z"},{"alias_kind":"arxiv_version","alias_value":"2505.23103v2","created_at":"2026-07-05T11:31:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.23103","created_at":"2026-07-05T11:31:45Z"},{"alias_kind":"pith_short_12","alias_value":"SP5PIJ5P5OC7","created_at":"2026-07-05T11:31:45Z"},{"alias_kind":"pith_short_16","alias_value":"SP5PIJ5P5OC7G6V3","created_at":"2026-07-05T11:31:45Z"},{"alias_kind":"pith_short_8","alias_value":"SP5PIJ5P","created_at":"2026-07-05T11:31:45Z"}],"graph_snapshots":[{"event_id":"sha256:40bdb207706bf7f1541f6dbe5a9bd8c787f5def110a8e4f317bc3b4bca274171","target":"graph","created_at":"2026-07-05T11:31:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.23103/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider stationary sequences whose marginal tail is subexponential and lies in the Gumbel Maximum domain of attraction. Due to the extremely strong dependence, their extreme values are caused by multiple big values and are clustered in the large scale with fractal features. We establish functional extremal limit theorems with non-Gumbel limit objects to characterize these delicate phenomena.","authors_text":"Zao-Li Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-05-29T05:09:27Z","title":"Moderately Heavy Extreme Values under Extreme Long Range Dependence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.23103","kind":"arxiv","version":2},"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":"sha256:629cb856b6df2846b0a94a604fa13502d12aece6575abedf70534ef502ae361a","target":"record","created_at":"2026-07-05T11:31:45Z","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":"69f3c1804515e371a1f4bdbfe37f5fcbf8c59700aa6f7c601fca6e3f6b0ea691","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-05-29T05:09:27Z","title_canon_sha256":"edd1a49e73bf26e711ed05d8f8cb8c43fdf46d0af252b66698155ea4f377bcd0"},"schema_version":"1.0","source":{"id":"2505.23103","kind":"arxiv","version":2}},"canonical_sha256":"93faf427afeb85f37abb8cad53f85936e6c2cec910301328828504e15cc8f3c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93faf427afeb85f37abb8cad53f85936e6c2cec910301328828504e15cc8f3c4","first_computed_at":"2026-07-05T11:31:45.752132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:31:45.752132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2CzfSVrsyaaF6C1Ix26ofJqH5OzZ4CVancax31sJEK7xlSejHkzh4OwF9e7huKOJ8aUcg/rObDskowsSboZHBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:31:45.752638Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.23103","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:629cb856b6df2846b0a94a604fa13502d12aece6575abedf70534ef502ae361a","sha256:40bdb207706bf7f1541f6dbe5a9bd8c787f5def110a8e4f317bc3b4bca274171"],"state_sha256":"4aa5b041d13a4fd3b64bf4b5cfeb13a0fa31aead905914cd4a11e204a4dbdfc5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HTzdqHyu0HxUzIKZTPVbIAomBdjf1s0XdpMi2yg1qpR9FwnrRRJ8H9DgJaakl0h4duN/UZGN4xdmZGO289BtCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T06:24:11.238700Z","bundle_sha256":"1cb6dde9d6142ec265e8b56c31b3ea03d3478cbeee6976640f100b9b907400d3"}}