{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:YTAWL5QASUBQHMHQ6ROSEVYHVH","short_pith_number":"pith:YTAWL5QA","schema_version":"1.0","canonical_sha256":"c4c165f600950303b0f0f45d225707a9c4ad2bac27a09376c6320b0b446efd78","source":{"kind":"arxiv","id":"1905.00341","version":1},"attestation_state":"computed","paper":{"title":"Estimates on the tail probabilities of subordinators and applications to general time fractional equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Panki Kim, Soobin Cho","submitted_at":"2019-05-01T15:01:31Z","abstract_excerpt":"In this paper, we study estimates on tail probabilities $\\mathbb{P}(S_r \\ge t)$ of several classes of subordinators under mild assumptions on the tail of its L\\'evy measure. As an application of that result, we obtain two-sided estimates for fundamental solutions of general homogeneous time fraction equations including those with Dirichlet boundary conditions."},"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":"1905.00341","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-05-01T15:01:31Z","cross_cats_sorted":[],"title_canon_sha256":"aa9b6fe32156b9fc7aa4e106e3682a2a49348595203211eb5cd6c0bc6db9c57b","abstract_canon_sha256":"88c5542f2f6ec3202ce9e62d0e8ffc76d4c5c9d27ffcf3e8ac9d5ae524839892"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:13.127225Z","signature_b64":"ionAppEBOjjQv6PZKH/zyIh8ljNVErYjYVuVK2hIdMerDxUuGCeRXX/pKrDzGdyvYTyzVKZr3XEQQwFZG2M1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4c165f600950303b0f0f45d225707a9c4ad2bac27a09376c6320b0b446efd78","last_reissued_at":"2026-05-17T23:47:13.126752Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:13.126752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Estimates on the tail probabilities of subordinators and applications to general time fractional equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Panki Kim, Soobin Cho","submitted_at":"2019-05-01T15:01:31Z","abstract_excerpt":"In this paper, we study estimates on tail probabilities $\\mathbb{P}(S_r \\ge t)$ of several classes of subordinators under mild assumptions on the tail of its L\\'evy measure. As an application of that result, we obtain two-sided estimates for fundamental solutions of general homogeneous time fraction equations including those with Dirichlet boundary conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.00341","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":"1905.00341","created_at":"2026-05-17T23:47:13.126817+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.00341v1","created_at":"2026-05-17T23:47:13.126817+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.00341","created_at":"2026-05-17T23:47:13.126817+00:00"},{"alias_kind":"pith_short_12","alias_value":"YTAWL5QASUBQ","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_16","alias_value":"YTAWL5QASUBQHMHQ","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_8","alias_value":"YTAWL5QA","created_at":"2026-05-18T12:33:33.725879+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/YTAWL5QASUBQHMHQ6ROSEVYHVH","json":"https://pith.science/pith/YTAWL5QASUBQHMHQ6ROSEVYHVH.json","graph_json":"https://pith.science/api/pith-number/YTAWL5QASUBQHMHQ6ROSEVYHVH/graph.json","events_json":"https://pith.science/api/pith-number/YTAWL5QASUBQHMHQ6ROSEVYHVH/events.json","paper":"https://pith.science/paper/YTAWL5QA"},"agent_actions":{"view_html":"https://pith.science/pith/YTAWL5QASUBQHMHQ6ROSEVYHVH","download_json":"https://pith.science/pith/YTAWL5QASUBQHMHQ6ROSEVYHVH.json","view_paper":"https://pith.science/paper/YTAWL5QA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.00341&json=true","fetch_graph":"https://pith.science/api/pith-number/YTAWL5QASUBQHMHQ6ROSEVYHVH/graph.json","fetch_events":"https://pith.science/api/pith-number/YTAWL5QASUBQHMHQ6ROSEVYHVH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YTAWL5QASUBQHMHQ6ROSEVYHVH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YTAWL5QASUBQHMHQ6ROSEVYHVH/action/storage_attestation","attest_author":"https://pith.science/pith/YTAWL5QASUBQHMHQ6ROSEVYHVH/action/author_attestation","sign_citation":"https://pith.science/pith/YTAWL5QASUBQHMHQ6ROSEVYHVH/action/citation_signature","submit_replication":"https://pith.science/pith/YTAWL5QASUBQHMHQ6ROSEVYHVH/action/replication_record"}},"created_at":"2026-05-17T23:47:13.126817+00:00","updated_at":"2026-05-17T23:47:13.126817+00:00"}