{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:E4UE57BED7TMFWM3C4ZGFJADOO","short_pith_number":"pith:E4UE57BE","canonical_record":{"source":{"id":"1504.03135","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-04-13T11:24:47Z","cross_cats_sorted":[],"title_canon_sha256":"aac1bfcc2c885974a0489f71a2b1cad039cd7b2c5224bcd3b375bbbbf2147d53","abstract_canon_sha256":"d9a6e1ec4edf63407db708f7c013a5c3fbd487570d8fcb256c6f9ab1f8f22496"},"schema_version":"1.0"},"canonical_sha256":"27284efc241fe6c2d99b173262a403738361b78b224516aa16ed707006fe2623","source":{"kind":"arxiv","id":"1504.03135","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03135","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03135v1","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03135","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"pith_short_12","alias_value":"E4UE57BED7TM","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"E4UE57BED7TMFWM3","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"E4UE57BE","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:E4UE57BED7TMFWM3C4ZGFJADOO","target":"record","payload":{"canonical_record":{"source":{"id":"1504.03135","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-04-13T11:24:47Z","cross_cats_sorted":[],"title_canon_sha256":"aac1bfcc2c885974a0489f71a2b1cad039cd7b2c5224bcd3b375bbbbf2147d53","abstract_canon_sha256":"d9a6e1ec4edf63407db708f7c013a5c3fbd487570d8fcb256c6f9ab1f8f22496"},"schema_version":"1.0"},"canonical_sha256":"27284efc241fe6c2d99b173262a403738361b78b224516aa16ed707006fe2623","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:59.114522Z","signature_b64":"G2Gk3f+JUuV1W1lZv/HJu/aQYZcqqp0UTIqpXHHHL4t7luNoYjdGlqXdoI9rSFowN31GrvRvcKkccuO09mQ/CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27284efc241fe6c2d99b173262a403738361b78b224516aa16ed707006fe2623","last_reissued_at":"2026-05-18T02:18:59.113871Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:59.113871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.03135","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":"2026-05-18T02:18:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AmGf8nxZvRPbiDlnBW6p8EzxdDREdB6TaECg4PBjLDWlEHbj1yTK2K+UFQFijcMeHlasNncDkMvT84qomvcMDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:43:04.407119Z"},"content_sha256":"f5c1ba2b6a89d64e61fc2a5b61a0de34fa0442b0c8848a8663ef1ecd5cc79e42","schema_version":"1.0","event_id":"sha256:f5c1ba2b6a89d64e61fc2a5b61a0de34fa0442b0c8848a8663ef1ecd5cc79e42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:E4UE57BED7TMFWM3C4ZGFJADOO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On maxima of chi-processes over threshold dependent grids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Chengxiu Ling, Zhongquan Tan","submitted_at":"2015-04-13T11:24:47Z","abstract_excerpt":"In this paper, with motivation from [30] by Piterbarg (Extremes 7:161--177, 2004) and the considerable interest in stationary chi-processes, we derive asymptotic joint distributions of maxima of stationary strongly dependent chi-processes on a continuous time and an uniform grid on the real axis. Our findings extend those for Gaussian cases and give three involved dependence structures via the strongly dependence condition and the sparse, Pickands and dense grids."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03135","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":"2026-05-18T02:18:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GlA5U5tVQDIfYHMqNFTYjPNB4kV+UjNi3NUlgLtPi++Kmc8MyjF5pPo47Fzdo1bWXyWwl2a9oXVWa0N6whSjCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:43:04.407741Z"},"content_sha256":"98639473995ddf24e8bbc02e503f679d9a49ccbcb5e08ed59dd8242eb64e0256","schema_version":"1.0","event_id":"sha256:98639473995ddf24e8bbc02e503f679d9a49ccbcb5e08ed59dd8242eb64e0256"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E4UE57BED7TMFWM3C4ZGFJADOO/bundle.json","state_url":"https://pith.science/pith/E4UE57BED7TMFWM3C4ZGFJADOO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E4UE57BED7TMFWM3C4ZGFJADOO/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":"2026-06-02T04:43:04Z","links":{"resolver":"https://pith.science/pith/E4UE57BED7TMFWM3C4ZGFJADOO","bundle":"https://pith.science/pith/E4UE57BED7TMFWM3C4ZGFJADOO/bundle.json","state":"https://pith.science/pith/E4UE57BED7TMFWM3C4ZGFJADOO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E4UE57BED7TMFWM3C4ZGFJADOO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:E4UE57BED7TMFWM3C4ZGFJADOO","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":"d9a6e1ec4edf63407db708f7c013a5c3fbd487570d8fcb256c6f9ab1f8f22496","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-04-13T11:24:47Z","title_canon_sha256":"aac1bfcc2c885974a0489f71a2b1cad039cd7b2c5224bcd3b375bbbbf2147d53"},"schema_version":"1.0","source":{"id":"1504.03135","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03135","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03135v1","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03135","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"pith_short_12","alias_value":"E4UE57BED7TM","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"E4UE57BED7TMFWM3","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"E4UE57BE","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:98639473995ddf24e8bbc02e503f679d9a49ccbcb5e08ed59dd8242eb64e0256","target":"graph","created_at":"2026-05-18T02:18:59Z","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 paper, with motivation from [30] by Piterbarg (Extremes 7:161--177, 2004) and the considerable interest in stationary chi-processes, we derive asymptotic joint distributions of maxima of stationary strongly dependent chi-processes on a continuous time and an uniform grid on the real axis. Our findings extend those for Gaussian cases and give three involved dependence structures via the strongly dependence condition and the sparse, Pickands and dense grids.","authors_text":"Chengxiu Ling, Zhongquan Tan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-04-13T11:24:47Z","title":"On maxima of chi-processes over threshold dependent grids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03135","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:f5c1ba2b6a89d64e61fc2a5b61a0de34fa0442b0c8848a8663ef1ecd5cc79e42","target":"record","created_at":"2026-05-18T02:18:59Z","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":"d9a6e1ec4edf63407db708f7c013a5c3fbd487570d8fcb256c6f9ab1f8f22496","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-04-13T11:24:47Z","title_canon_sha256":"aac1bfcc2c885974a0489f71a2b1cad039cd7b2c5224bcd3b375bbbbf2147d53"},"schema_version":"1.0","source":{"id":"1504.03135","kind":"arxiv","version":1}},"canonical_sha256":"27284efc241fe6c2d99b173262a403738361b78b224516aa16ed707006fe2623","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27284efc241fe6c2d99b173262a403738361b78b224516aa16ed707006fe2623","first_computed_at":"2026-05-18T02:18:59.113871Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:59.113871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G2Gk3f+JUuV1W1lZv/HJu/aQYZcqqp0UTIqpXHHHL4t7luNoYjdGlqXdoI9rSFowN31GrvRvcKkccuO09mQ/CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:59.114522Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.03135","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5c1ba2b6a89d64e61fc2a5b61a0de34fa0442b0c8848a8663ef1ecd5cc79e42","sha256:98639473995ddf24e8bbc02e503f679d9a49ccbcb5e08ed59dd8242eb64e0256"],"state_sha256":"f295fcf8ca9b74819d4c76b49aa6054da27f4fc0b36894d502a45a1561b61c21"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3bXbjIPkrdETz7fnRHbfbVTybg2HVYAnHJ0QRhpMuCdu8Y1ic1FBjN8hQWkhRcQ8MiQPP7A4W2kOHCv8EMUNDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:43:04.410754Z","bundle_sha256":"3e3d9dcd135a84112ee360644e0bcf92597fb330a89c87e33492bdaf79d34855"}}