{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:IK4ZNZMAZHKZEFXGRPKPAVUTHY","short_pith_number":"pith:IK4ZNZMA","schema_version":"1.0","canonical_sha256":"42b996e580c9d59216e68bd4f056933e0eddd78835b4bbf601b33c6b168aa639","source":{"kind":"arxiv","id":"1701.02400","version":1},"attestation_state":"computed","paper":{"title":"On quasi-infinitely divisible distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Lindner, Ken-iti Sato, Lei Pan","submitted_at":"2017-01-10T01:15:06Z","abstract_excerpt":"A quasi-infinitely divisible distribution on $\\mathbb{R}$ is a probability distribution whose characteristic function allows a L\\'evy-Khintchine type representation with a \"signed L\\'evy measure\", rather than a L\\'evy measure. Quasi-infinitely divisible distributions appear naturally in the factorization of infinitely divisible distributions. Namely, a distribution $\\mu$ is quasi-infinitely divisible if and only if there are two infinitely divisible distributions $\\mu_1$ and $\\mu_2$ such that $\\mu_1 \\ast \\mu = \\mu_2$. The present paper studies certain properties of quasi-infinitely divisible d"},"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":"1701.02400","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-01-10T01:15:06Z","cross_cats_sorted":[],"title_canon_sha256":"ee62db8b761f319b3befa45e8fd90558ca3cb5119421a77c6657ae27e9d59871","abstract_canon_sha256":"cf68261a157dbc754605418f2a987642aa759f8c70d572ff0ac4cfe254099fd8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:04.327442Z","signature_b64":"9eKUr9lEDTz6g/nsHwSd3kSU87QdyyXuIiWdZh4D9d2bIZUcYCvFjkl/jumHig4s/yieiYRluIhi6t8lZUspDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42b996e580c9d59216e68bd4f056933e0eddd78835b4bbf601b33c6b168aa639","last_reissued_at":"2026-05-18T00:53:04.326892Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:04.326892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On quasi-infinitely divisible distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Lindner, Ken-iti Sato, Lei Pan","submitted_at":"2017-01-10T01:15:06Z","abstract_excerpt":"A quasi-infinitely divisible distribution on $\\mathbb{R}$ is a probability distribution whose characteristic function allows a L\\'evy-Khintchine type representation with a \"signed L\\'evy measure\", rather than a L\\'evy measure. Quasi-infinitely divisible distributions appear naturally in the factorization of infinitely divisible distributions. Namely, a distribution $\\mu$ is quasi-infinitely divisible if and only if there are two infinitely divisible distributions $\\mu_1$ and $\\mu_2$ such that $\\mu_1 \\ast \\mu = \\mu_2$. The present paper studies certain properties of quasi-infinitely divisible d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02400","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":"1701.02400","created_at":"2026-05-18T00:53:04.326979+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.02400v1","created_at":"2026-05-18T00:53:04.326979+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02400","created_at":"2026-05-18T00:53:04.326979+00:00"},{"alias_kind":"pith_short_12","alias_value":"IK4ZNZMAZHKZ","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"IK4ZNZMAZHKZEFXG","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"IK4ZNZMA","created_at":"2026-05-18T12:31:21.493067+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/IK4ZNZMAZHKZEFXGRPKPAVUTHY","json":"https://pith.science/pith/IK4ZNZMAZHKZEFXGRPKPAVUTHY.json","graph_json":"https://pith.science/api/pith-number/IK4ZNZMAZHKZEFXGRPKPAVUTHY/graph.json","events_json":"https://pith.science/api/pith-number/IK4ZNZMAZHKZEFXGRPKPAVUTHY/events.json","paper":"https://pith.science/paper/IK4ZNZMA"},"agent_actions":{"view_html":"https://pith.science/pith/IK4ZNZMAZHKZEFXGRPKPAVUTHY","download_json":"https://pith.science/pith/IK4ZNZMAZHKZEFXGRPKPAVUTHY.json","view_paper":"https://pith.science/paper/IK4ZNZMA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.02400&json=true","fetch_graph":"https://pith.science/api/pith-number/IK4ZNZMAZHKZEFXGRPKPAVUTHY/graph.json","fetch_events":"https://pith.science/api/pith-number/IK4ZNZMAZHKZEFXGRPKPAVUTHY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IK4ZNZMAZHKZEFXGRPKPAVUTHY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IK4ZNZMAZHKZEFXGRPKPAVUTHY/action/storage_attestation","attest_author":"https://pith.science/pith/IK4ZNZMAZHKZEFXGRPKPAVUTHY/action/author_attestation","sign_citation":"https://pith.science/pith/IK4ZNZMAZHKZEFXGRPKPAVUTHY/action/citation_signature","submit_replication":"https://pith.science/pith/IK4ZNZMAZHKZEFXGRPKPAVUTHY/action/replication_record"}},"created_at":"2026-05-18T00:53:04.326979+00:00","updated_at":"2026-05-18T00:53:04.326979+00:00"}