{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:AUQSOBJOWSN2RKS3FQ2DVPSF7S","short_pith_number":"pith:AUQSOBJO","schema_version":"1.0","canonical_sha256":"052127052eb49ba8aa5b2c343abe45fc92e4224d30641cfbdf07afcacaad98a9","source":{"kind":"arxiv","id":"1401.7253","version":2},"attestation_state":"computed","paper":{"title":"Nonlinear L\\'evy Processes and their Characteristics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.OC"],"primary_cat":"math.PR","authors_text":"Ariel Neufeld, Marcel Nutz","submitted_at":"2014-01-28T16:50:58Z","abstract_excerpt":"We develop a general construction for nonlinear L\\'evy processes with given characteristics. More precisely, given a set $\\Theta$ of L\\'evy triplets, we construct a sublinear expectation on Skorohod space under which the canonical process has stationary independent increments and a nonlinear generator corresponding to the supremum of all generators of classical L\\'evy processes with triplets in $\\Theta$. The nonlinear L\\'evy process yields a tractable model for Knightian uncertainty about the distribution of jumps for which expectations of Markovian functionals can be calculated by means of a "},"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":"1401.7253","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-01-28T16:50:58Z","cross_cats_sorted":["math.AP","math.OC"],"title_canon_sha256":"851b98648cd9373e0b345e498645799409a4387f02a9c42fa585c03d9b2c74cb","abstract_canon_sha256":"e48c1f09d37fbc530654310bd1775059601f6b40eb617ffb554865e321086830"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:39.138009Z","signature_b64":"tb3EAIp6ztuTA76AR0J1NF5FSRDuvzNSrrDK3gn9upxYVo8d+FSFUxoTwxDu+r7TjAfMTfi6zBchQnYfQkKwDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"052127052eb49ba8aa5b2c343abe45fc92e4224d30641cfbdf07afcacaad98a9","last_reissued_at":"2026-05-18T02:29:39.137641Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:39.137641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear L\\'evy Processes and their Characteristics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.OC"],"primary_cat":"math.PR","authors_text":"Ariel Neufeld, Marcel Nutz","submitted_at":"2014-01-28T16:50:58Z","abstract_excerpt":"We develop a general construction for nonlinear L\\'evy processes with given characteristics. More precisely, given a set $\\Theta$ of L\\'evy triplets, we construct a sublinear expectation on Skorohod space under which the canonical process has stationary independent increments and a nonlinear generator corresponding to the supremum of all generators of classical L\\'evy processes with triplets in $\\Theta$. The nonlinear L\\'evy process yields a tractable model for Knightian uncertainty about the distribution of jumps for which expectations of Markovian functionals can be calculated by means of a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7253","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":""},"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":"1401.7253","created_at":"2026-05-18T02:29:39.137697+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.7253v2","created_at":"2026-05-18T02:29:39.137697+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7253","created_at":"2026-05-18T02:29:39.137697+00:00"},{"alias_kind":"pith_short_12","alias_value":"AUQSOBJOWSN2","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"AUQSOBJOWSN2RKS3","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"AUQSOBJO","created_at":"2026-05-18T12:28:19.803747+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/AUQSOBJOWSN2RKS3FQ2DVPSF7S","json":"https://pith.science/pith/AUQSOBJOWSN2RKS3FQ2DVPSF7S.json","graph_json":"https://pith.science/api/pith-number/AUQSOBJOWSN2RKS3FQ2DVPSF7S/graph.json","events_json":"https://pith.science/api/pith-number/AUQSOBJOWSN2RKS3FQ2DVPSF7S/events.json","paper":"https://pith.science/paper/AUQSOBJO"},"agent_actions":{"view_html":"https://pith.science/pith/AUQSOBJOWSN2RKS3FQ2DVPSF7S","download_json":"https://pith.science/pith/AUQSOBJOWSN2RKS3FQ2DVPSF7S.json","view_paper":"https://pith.science/paper/AUQSOBJO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.7253&json=true","fetch_graph":"https://pith.science/api/pith-number/AUQSOBJOWSN2RKS3FQ2DVPSF7S/graph.json","fetch_events":"https://pith.science/api/pith-number/AUQSOBJOWSN2RKS3FQ2DVPSF7S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AUQSOBJOWSN2RKS3FQ2DVPSF7S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AUQSOBJOWSN2RKS3FQ2DVPSF7S/action/storage_attestation","attest_author":"https://pith.science/pith/AUQSOBJOWSN2RKS3FQ2DVPSF7S/action/author_attestation","sign_citation":"https://pith.science/pith/AUQSOBJOWSN2RKS3FQ2DVPSF7S/action/citation_signature","submit_replication":"https://pith.science/pith/AUQSOBJOWSN2RKS3FQ2DVPSF7S/action/replication_record"}},"created_at":"2026-05-18T02:29:39.137697+00:00","updated_at":"2026-05-18T02:29:39.137697+00:00"}