{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:222X54Y2TIMRV6E3EURVPHNF7K","short_pith_number":"pith:222X54Y2","canonical_record":{"source":{"id":"1310.5260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-19T18:52:47Z","cross_cats_sorted":[],"title_canon_sha256":"0396d24a2df3127aa16ba06e17ff8abaf954cad9b55f1e57ee8d9c87bf3351a5","abstract_canon_sha256":"7d05f9748c8d94e659202b8c6fb71a7112e21ad7bc26ef18c1a2a8d483139b93"},"schema_version":"1.0"},"canonical_sha256":"d6b57ef31a9a191af89b2523579da5fa9660e55453e34b8282f68f4e56b20c1f","source":{"kind":"arxiv","id":"1310.5260","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5260","created_at":"2026-05-18T03:09:46Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5260v1","created_at":"2026-05-18T03:09:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5260","created_at":"2026-05-18T03:09:46Z"},{"alias_kind":"pith_short_12","alias_value":"222X54Y2TIMR","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"222X54Y2TIMRV6E3","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"222X54Y2","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:222X54Y2TIMRV6E3EURVPHNF7K","target":"record","payload":{"canonical_record":{"source":{"id":"1310.5260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-19T18:52:47Z","cross_cats_sorted":[],"title_canon_sha256":"0396d24a2df3127aa16ba06e17ff8abaf954cad9b55f1e57ee8d9c87bf3351a5","abstract_canon_sha256":"7d05f9748c8d94e659202b8c6fb71a7112e21ad7bc26ef18c1a2a8d483139b93"},"schema_version":"1.0"},"canonical_sha256":"d6b57ef31a9a191af89b2523579da5fa9660e55453e34b8282f68f4e56b20c1f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:46.294332Z","signature_b64":"8hTdfVmKaCvU4tVXurCiO6cHO52XQv5os+UuwGIZTGvFI4dgp7m2wGANASEV0oa29fY6RnO9kSLhqzhtIt6aDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6b57ef31a9a191af89b2523579da5fa9660e55453e34b8282f68f4e56b20c1f","last_reissued_at":"2026-05-18T03:09:46.293516Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:46.293516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.5260","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":"2026-05-18T03:09:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CjWhnJ204yu3+GgEUhSXk1i1wY7iHG+oKK3Z3usY7d7tIvYdfbPw6GoXq42IZtimV3/97tN7slqY50x2j+wABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:19:08.128980Z"},"content_sha256":"b5ab8ed641c329236141ff98db07ddb1ba1b7a1e9a59397ddd51093725d71138","schema_version":"1.0","event_id":"sha256:b5ab8ed641c329236141ff98db07ddb1ba1b7a1e9a59397ddd51093725d71138"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:222X54Y2TIMRV6E3EURVPHNF7K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Limit properties of exceedances point processes of scaled stationary Gaussian sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Enkelejd Hashorva, Zhichao Weng, Zuoxiang Peng","submitted_at":"2013-10-19T18:52:47Z","abstract_excerpt":"We derive the limiting distributions of exceedances point processes of randomly scaled weakly dependent stationary Gaussian sequences under some mild asymptotic conditions. In the literature analogous results are available only for contracted stationary Gaussian sequences. In this paper, we include additionally the case of randomly inflated stationary Gaussian sequences with a Weibullian type random scaling. It turns out that the maxima and minima of both contracted and inflated weakly dependent stationary Gaussian sequences are asymptotically independent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5260","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":"2026-05-18T03:09:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"npAY1nJ+cmqvHVMdkXVdffmwbo/tTOF9ut9Qalq1NAuNWyAbDIukC57zwv6yocgPR41/dAulVQFa7aGzNP4dBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:19:08.129587Z"},"content_sha256":"dc49243c051aa0614c48eebaf3fce9d016082d5b0aa486cb35275b60d998e8a8","schema_version":"1.0","event_id":"sha256:dc49243c051aa0614c48eebaf3fce9d016082d5b0aa486cb35275b60d998e8a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/222X54Y2TIMRV6E3EURVPHNF7K/bundle.json","state_url":"https://pith.science/pith/222X54Y2TIMRV6E3EURVPHNF7K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/222X54Y2TIMRV6E3EURVPHNF7K/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":"2026-06-04T17:19:08Z","links":{"resolver":"https://pith.science/pith/222X54Y2TIMRV6E3EURVPHNF7K","bundle":"https://pith.science/pith/222X54Y2TIMRV6E3EURVPHNF7K/bundle.json","state":"https://pith.science/pith/222X54Y2TIMRV6E3EURVPHNF7K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/222X54Y2TIMRV6E3EURVPHNF7K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:222X54Y2TIMRV6E3EURVPHNF7K","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":"7d05f9748c8d94e659202b8c6fb71a7112e21ad7bc26ef18c1a2a8d483139b93","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-19T18:52:47Z","title_canon_sha256":"0396d24a2df3127aa16ba06e17ff8abaf954cad9b55f1e57ee8d9c87bf3351a5"},"schema_version":"1.0","source":{"id":"1310.5260","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5260","created_at":"2026-05-18T03:09:46Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5260v1","created_at":"2026-05-18T03:09:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5260","created_at":"2026-05-18T03:09:46Z"},{"alias_kind":"pith_short_12","alias_value":"222X54Y2TIMR","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"222X54Y2TIMRV6E3","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"222X54Y2","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:dc49243c051aa0614c48eebaf3fce9d016082d5b0aa486cb35275b60d998e8a8","target":"graph","created_at":"2026-05-18T03:09:46Z","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 derive the limiting distributions of exceedances point processes of randomly scaled weakly dependent stationary Gaussian sequences under some mild asymptotic conditions. In the literature analogous results are available only for contracted stationary Gaussian sequences. In this paper, we include additionally the case of randomly inflated stationary Gaussian sequences with a Weibullian type random scaling. It turns out that the maxima and minima of both contracted and inflated weakly dependent stationary Gaussian sequences are asymptotically independent.","authors_text":"Enkelejd Hashorva, Zhichao Weng, Zuoxiang Peng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-19T18:52:47Z","title":"Limit properties of exceedances point processes of scaled stationary Gaussian sequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5260","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:b5ab8ed641c329236141ff98db07ddb1ba1b7a1e9a59397ddd51093725d71138","target":"record","created_at":"2026-05-18T03:09:46Z","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":"7d05f9748c8d94e659202b8c6fb71a7112e21ad7bc26ef18c1a2a8d483139b93","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-19T18:52:47Z","title_canon_sha256":"0396d24a2df3127aa16ba06e17ff8abaf954cad9b55f1e57ee8d9c87bf3351a5"},"schema_version":"1.0","source":{"id":"1310.5260","kind":"arxiv","version":1}},"canonical_sha256":"d6b57ef31a9a191af89b2523579da5fa9660e55453e34b8282f68f4e56b20c1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6b57ef31a9a191af89b2523579da5fa9660e55453e34b8282f68f4e56b20c1f","first_computed_at":"2026-05-18T03:09:46.293516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:46.293516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8hTdfVmKaCvU4tVXurCiO6cHO52XQv5os+UuwGIZTGvFI4dgp7m2wGANASEV0oa29fY6RnO9kSLhqzhtIt6aDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:46.294332Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.5260","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5ab8ed641c329236141ff98db07ddb1ba1b7a1e9a59397ddd51093725d71138","sha256:dc49243c051aa0614c48eebaf3fce9d016082d5b0aa486cb35275b60d998e8a8"],"state_sha256":"68fd374ab45813c18f9d48234ae212d7d477dcd2a24292bf5e2a62b52e347bd0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TtNj0wYgxG8CY32Y6VqG0m+jt2nNP5OPPxVZRSJ8K/q7DaVFTcRUk/kWPn7HFsUId/pqKbH5rsqbm5D5ajSLDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T17:19:08.132524Z","bundle_sha256":"e185060f29a9197fd9e36b1fdd1e9ae0cb4f89f75466afd38c6677ca1c8b3d71"}}