{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:MCTVM2BRTG76Q2NEGRTVZHU2SQ","short_pith_number":"pith:MCTVM2BR","schema_version":"1.0","canonical_sha256":"60a756683199bfe869a434675c9e9a940a172ee1dcd393b3977ba78193da685f","source":{"kind":"arxiv","id":"1204.0314","version":1},"attestation_state":"computed","paper":{"title":"Extensions of diffusion processes on intervals and Feller's boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Kouji Yano","submitted_at":"2012-04-02T05:40:10Z","abstract_excerpt":"For a minimal diffusion process on $ (a,b) $, any possible extension of it to a standard process on $ [a,b] $ is characterized by the characteristic measures of excursions away from the boundary points $ a $ and $ b $. The generator of the extension is proved to be characterized by Feller's boundary condition."},"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":"1204.0314","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-04-02T05:40:10Z","cross_cats_sorted":[],"title_canon_sha256":"a531d3283c575e1a0c29240ed81012e74242a79babd084d2c0186a0cca434410","abstract_canon_sha256":"2c4a6f976fa05ca21748fbeb774778fbd404db2c635246195054197d11bab898"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:49.651337Z","signature_b64":"CfObfGsmR/0erl0kKndfX8VWOCGegpMH7lnx7biujkbqNKvSVNmGLGqj/SCdN00t69+oJFfGaP9R1XxB2ga7Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60a756683199bfe869a434675c9e9a940a172ee1dcd393b3977ba78193da685f","last_reissued_at":"2026-05-18T03:58:49.650710Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:49.650710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extensions of diffusion processes on intervals and Feller's boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Kouji Yano","submitted_at":"2012-04-02T05:40:10Z","abstract_excerpt":"For a minimal diffusion process on $ (a,b) $, any possible extension of it to a standard process on $ [a,b] $ is characterized by the characteristic measures of excursions away from the boundary points $ a $ and $ b $. The generator of the extension is proved to be characterized by Feller's boundary condition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0314","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":"1204.0314","created_at":"2026-05-18T03:58:49.650798+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.0314v1","created_at":"2026-05-18T03:58:49.650798+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0314","created_at":"2026-05-18T03:58:49.650798+00:00"},{"alias_kind":"pith_short_12","alias_value":"MCTVM2BRTG76","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"MCTVM2BRTG76Q2NE","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"MCTVM2BR","created_at":"2026-05-18T12:27:14.488303+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/MCTVM2BRTG76Q2NEGRTVZHU2SQ","json":"https://pith.science/pith/MCTVM2BRTG76Q2NEGRTVZHU2SQ.json","graph_json":"https://pith.science/api/pith-number/MCTVM2BRTG76Q2NEGRTVZHU2SQ/graph.json","events_json":"https://pith.science/api/pith-number/MCTVM2BRTG76Q2NEGRTVZHU2SQ/events.json","paper":"https://pith.science/paper/MCTVM2BR"},"agent_actions":{"view_html":"https://pith.science/pith/MCTVM2BRTG76Q2NEGRTVZHU2SQ","download_json":"https://pith.science/pith/MCTVM2BRTG76Q2NEGRTVZHU2SQ.json","view_paper":"https://pith.science/paper/MCTVM2BR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.0314&json=true","fetch_graph":"https://pith.science/api/pith-number/MCTVM2BRTG76Q2NEGRTVZHU2SQ/graph.json","fetch_events":"https://pith.science/api/pith-number/MCTVM2BRTG76Q2NEGRTVZHU2SQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MCTVM2BRTG76Q2NEGRTVZHU2SQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MCTVM2BRTG76Q2NEGRTVZHU2SQ/action/storage_attestation","attest_author":"https://pith.science/pith/MCTVM2BRTG76Q2NEGRTVZHU2SQ/action/author_attestation","sign_citation":"https://pith.science/pith/MCTVM2BRTG76Q2NEGRTVZHU2SQ/action/citation_signature","submit_replication":"https://pith.science/pith/MCTVM2BRTG76Q2NEGRTVZHU2SQ/action/replication_record"}},"created_at":"2026-05-18T03:58:49.650798+00:00","updated_at":"2026-05-18T03:58:49.650798+00:00"}