{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:I5KW4V6GXGP3VYRH3LTN6RC2XJ","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":"2c23af91b241d33af4f0b97370387c8f18e30ab6a43cbccf3f7dafd7fad4d17d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-10-23T14:52:06Z","title_canon_sha256":"a5050186cbf72c30c1fc3075ab7578619fb0ca87896a528404834921a08f6582"},"schema_version":"1.0","source":{"id":"1510.06955","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.06955","created_at":"2026-05-18T00:51:34Z"},{"alias_kind":"arxiv_version","alias_value":"1510.06955v2","created_at":"2026-05-18T00:51:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06955","created_at":"2026-05-18T00:51:34Z"},{"alias_kind":"pith_short_12","alias_value":"I5KW4V6GXGP3","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"I5KW4V6GXGP3VYRH","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"I5KW4V6G","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:99283453c5e243bd17badf5f5713cb78b39de1bbc3b8a0beea9ab35e6e9221a0","target":"graph","created_at":"2026-05-18T00:51:34Z","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":"This paper addresses heavy-tailed large deviation estimates for the distribution tail of functionals of a class of spectrally one-sided L\\'evy process. Our contribution is to show that these estimates remain valid in a near-critical regime. This complements recent similar results that have been obtained for the all-time supremum of such processes. Specifically, we consider local asymptotics of the all-time supremum, the supremum of the process until exiting $[0,\\infty)$, the maximum jump until that time, and the time it takes until exiting $[0,\\infty)$. The proofs rely, among other things, on ","authors_text":"Bart Kamphorst, Bert Zwart","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-10-23T14:52:06Z","title":"Uniform Asymptotics for Compound Poisson Processes with Regularly Varying Jumps and Vanishing Drift"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06955","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":"sha256:4664decd2625e14a9ec68141aae491f1c1066957be481819363c69f506c1f6fd","target":"record","created_at":"2026-05-18T00:51:34Z","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":"2c23af91b241d33af4f0b97370387c8f18e30ab6a43cbccf3f7dafd7fad4d17d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-10-23T14:52:06Z","title_canon_sha256":"a5050186cbf72c30c1fc3075ab7578619fb0ca87896a528404834921a08f6582"},"schema_version":"1.0","source":{"id":"1510.06955","kind":"arxiv","version":2}},"canonical_sha256":"47556e57c6b99fbae227dae6df445aba681b3bea7042440a4f276692400ae51d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47556e57c6b99fbae227dae6df445aba681b3bea7042440a4f276692400ae51d","first_computed_at":"2026-05-18T00:51:34.240720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:34.240720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a4V97D8EeotnaSN1JJ3LApthb1scCXdWr4yi2djT+2lVwVEurs0BDhO0Nw0XlaEtce+Rl36yZH2Omuae20RJDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:34.241293Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.06955","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4664decd2625e14a9ec68141aae491f1c1066957be481819363c69f506c1f6fd","sha256:99283453c5e243bd17badf5f5713cb78b39de1bbc3b8a0beea9ab35e6e9221a0"],"state_sha256":"3f86baa6edc1b84c8e649998115f7816746771cd5992f9e6a040a177eeb9f653"}