{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:MHDA44NJBQCDY64U4CX5IRDTLP","short_pith_number":"pith:MHDA44NJ","schema_version":"1.0","canonical_sha256":"61c60e71a90c043c7b94e0afd444735bff2f00153657e34d7b32aa7e35060c58","source":{"kind":"arxiv","id":"1908.06840","version":1},"attestation_state":"computed","paper":{"title":"Implicit max-stable extremal integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dustin Kremer","submitted_at":"2019-08-19T14:46:06Z","abstract_excerpt":"Recently, the notion of implicit extreme value distributions has been established, which is based on a given loss function $f \\ge 0$. From an application point of view, one is rather interested in extreme loss events that occur relative to $f$ than in the corresponding extreme values itself. In this context, so-called $f$-implicit $\\alpha$-Fr\\'{e}chet max-stable distributions arise and have been used to construct independently scattered sup-measures that possess such margins. In this paper we solve an open problem in [7] by developing a stochastic integral of a deterministic function $g\\ge 0$ "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1908.06840","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-08-19T14:46:06Z","cross_cats_sorted":[],"title_canon_sha256":"030bd140f3a33f6503e25cd7d146e3208f7efd5fc4df1ca4863422ad6d9082dc","abstract_canon_sha256":"4fc88f60ad65f267747143e53648bc55e0b8d611147f100a21f7fdc92038fb3e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:58:19.953153Z","signature_b64":"K/m6aKc+45mL009tJROl6Mw+F46+obSTJxZQ4+o0RgKMvDg8ay0H1as8ErAd1dQA59lQBDNpKtkcPBxmN8ZICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61c60e71a90c043c7b94e0afd444735bff2f00153657e34d7b32aa7e35060c58","last_reissued_at":"2026-07-04T23:58:19.952824Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:58:19.952824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Implicit max-stable extremal integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dustin Kremer","submitted_at":"2019-08-19T14:46:06Z","abstract_excerpt":"Recently, the notion of implicit extreme value distributions has been established, which is based on a given loss function $f \\ge 0$. From an application point of view, one is rather interested in extreme loss events that occur relative to $f$ than in the corresponding extreme values itself. In this context, so-called $f$-implicit $\\alpha$-Fr\\'{e}chet max-stable distributions arise and have been used to construct independently scattered sup-measures that possess such margins. In this paper we solve an open problem in [7] by developing a stochastic integral of a deterministic function $g\\ge 0$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.06840","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.06840/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1908.06840","created_at":"2026-07-04T23:58:19.952878+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.06840v1","created_at":"2026-07-04T23:58:19.952878+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.06840","created_at":"2026-07-04T23:58:19.952878+00:00"},{"alias_kind":"pith_short_12","alias_value":"MHDA44NJBQCD","created_at":"2026-07-04T23:58:19.952878+00:00"},{"alias_kind":"pith_short_16","alias_value":"MHDA44NJBQCDY64U","created_at":"2026-07-04T23:58:19.952878+00:00"},{"alias_kind":"pith_short_8","alias_value":"MHDA44NJ","created_at":"2026-07-04T23:58:19.952878+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MHDA44NJBQCDY64U4CX5IRDTLP","json":"https://pith.science/pith/MHDA44NJBQCDY64U4CX5IRDTLP.json","graph_json":"https://pith.science/api/pith-number/MHDA44NJBQCDY64U4CX5IRDTLP/graph.json","events_json":"https://pith.science/api/pith-number/MHDA44NJBQCDY64U4CX5IRDTLP/events.json","paper":"https://pith.science/paper/MHDA44NJ"},"agent_actions":{"view_html":"https://pith.science/pith/MHDA44NJBQCDY64U4CX5IRDTLP","download_json":"https://pith.science/pith/MHDA44NJBQCDY64U4CX5IRDTLP.json","view_paper":"https://pith.science/paper/MHDA44NJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.06840&json=true","fetch_graph":"https://pith.science/api/pith-number/MHDA44NJBQCDY64U4CX5IRDTLP/graph.json","fetch_events":"https://pith.science/api/pith-number/MHDA44NJBQCDY64U4CX5IRDTLP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MHDA44NJBQCDY64U4CX5IRDTLP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MHDA44NJBQCDY64U4CX5IRDTLP/action/storage_attestation","attest_author":"https://pith.science/pith/MHDA44NJBQCDY64U4CX5IRDTLP/action/author_attestation","sign_citation":"https://pith.science/pith/MHDA44NJBQCDY64U4CX5IRDTLP/action/citation_signature","submit_replication":"https://pith.science/pith/MHDA44NJBQCDY64U4CX5IRDTLP/action/replication_record"}},"created_at":"2026-07-04T23:58:19.952878+00:00","updated_at":"2026-07-04T23:58:19.952878+00:00"}