{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:IJOREDX7CBR7USSX5TZPIAXS6T","short_pith_number":"pith:IJOREDX7","schema_version":"1.0","canonical_sha256":"425d120eff1063fa4a57ecf2f402f2f4d4259ef48c6e6b1d5604104fe1ee161e","source":{"kind":"arxiv","id":"1310.7081","version":1},"attestation_state":"computed","paper":{"title":"Compound kernel estimates for the transition probability density of a L\\'evy process in $\\rn$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"V. Knopova","submitted_at":"2013-10-26T08:12:49Z","abstract_excerpt":"We construct in the small-time setting the upper and lower estimates for the transition probability density of a L\\'evy process in $\\rn$. Our approach relies on the complex analysis technique and the asymptotic analysis of the inverse Fourier transform of the characteristic function of the respective process."},"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":"1310.7081","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-26T08:12:49Z","cross_cats_sorted":[],"title_canon_sha256":"e9af6c824e28685443d8fc13aa4ad84a2a84af0f5242a7ab3d418a86c690951b","abstract_canon_sha256":"f7cf405fc07004ab3029d226b55d7f45d5c342dd43515de56a4d4129841ce11a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:46.309282Z","signature_b64":"Dx2mtay5U7nl9gXPwsz4CgphUbSFBTHpZGLTWXmDwU79xL7LfXPO7JzdaFWNsSWn+WtYtlIgJdhh2Ho5x6skDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"425d120eff1063fa4a57ecf2f402f2f4d4259ef48c6e6b1d5604104fe1ee161e","last_reissued_at":"2026-05-18T03:08:46.308761Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:46.308761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Compound kernel estimates for the transition probability density of a L\\'evy process in $\\rn$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"V. Knopova","submitted_at":"2013-10-26T08:12:49Z","abstract_excerpt":"We construct in the small-time setting the upper and lower estimates for the transition probability density of a L\\'evy process in $\\rn$. Our approach relies on the complex analysis technique and the asymptotic analysis of the inverse Fourier transform of the characteristic function of the respective process."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7081","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1310.7081","created_at":"2026-05-18T03:08:46.308845+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.7081v1","created_at":"2026-05-18T03:08:46.308845+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7081","created_at":"2026-05-18T03:08:46.308845+00:00"},{"alias_kind":"pith_short_12","alias_value":"IJOREDX7CBR7","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"IJOREDX7CBR7USSX","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"IJOREDX7","created_at":"2026-05-18T12:27:46.883200+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/IJOREDX7CBR7USSX5TZPIAXS6T","json":"https://pith.science/pith/IJOREDX7CBR7USSX5TZPIAXS6T.json","graph_json":"https://pith.science/api/pith-number/IJOREDX7CBR7USSX5TZPIAXS6T/graph.json","events_json":"https://pith.science/api/pith-number/IJOREDX7CBR7USSX5TZPIAXS6T/events.json","paper":"https://pith.science/paper/IJOREDX7"},"agent_actions":{"view_html":"https://pith.science/pith/IJOREDX7CBR7USSX5TZPIAXS6T","download_json":"https://pith.science/pith/IJOREDX7CBR7USSX5TZPIAXS6T.json","view_paper":"https://pith.science/paper/IJOREDX7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.7081&json=true","fetch_graph":"https://pith.science/api/pith-number/IJOREDX7CBR7USSX5TZPIAXS6T/graph.json","fetch_events":"https://pith.science/api/pith-number/IJOREDX7CBR7USSX5TZPIAXS6T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IJOREDX7CBR7USSX5TZPIAXS6T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IJOREDX7CBR7USSX5TZPIAXS6T/action/storage_attestation","attest_author":"https://pith.science/pith/IJOREDX7CBR7USSX5TZPIAXS6T/action/author_attestation","sign_citation":"https://pith.science/pith/IJOREDX7CBR7USSX5TZPIAXS6T/action/citation_signature","submit_replication":"https://pith.science/pith/IJOREDX7CBR7USSX5TZPIAXS6T/action/replication_record"}},"created_at":"2026-05-18T03:08:46.308845+00:00","updated_at":"2026-05-18T03:08:46.308845+00:00"}