{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:4SYRMBNDZI3QKD3DJGDUFJSAHI","short_pith_number":"pith:4SYRMBND","schema_version":"1.0","canonical_sha256":"e4b11605a3ca37050f63498742a6403a3df4f072b2c7b1def3de31ae68148fdd","source":{"kind":"arxiv","id":"1507.05229","version":1},"attestation_state":"computed","paper":{"title":"Entrance laws for positive self-similar Markov processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"V\\'ictor Manuel Rivero","submitted_at":"2015-07-18T22:43:56Z","abstract_excerpt":"In this paper we propose an alternative construction of the self-similar entrance laws for positive self-similar Markov processes. The study of entrance laws has been carried out in previous papers using different techniques, depending on whether the process hits zero in a finite time almost surely or not. The technique here used allows to obtain the entrance laws in a unified way. Besides, we show that in the case where the process hits zero in a finite time, if there exists a self-similar entrance law, then there are infinitely many, but they can all be embedded into a single one. We propose"},"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":"1507.05229","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-07-18T22:43:56Z","cross_cats_sorted":[],"title_canon_sha256":"bdf78b58df2acb88cecef3a3c08b102a4cf1ebd7b121f232ac744cb2b1584d72","abstract_canon_sha256":"6229e77853722f1d676dac4339f0e034dc9dbb937bfa76054a363a778ce0e95b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:37.485153Z","signature_b64":"RfC1U9QRcRDFvmDvTS5a26vbxJDO1UOk9RRn4f9mCEo9O2LwYYcVCjBiwDv543+Kgfac8GXhYZjcBw0OinqvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4b11605a3ca37050f63498742a6403a3df4f072b2c7b1def3de31ae68148fdd","last_reissued_at":"2026-05-18T01:36:37.484621Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:37.484621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entrance laws for positive self-similar Markov processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"V\\'ictor Manuel Rivero","submitted_at":"2015-07-18T22:43:56Z","abstract_excerpt":"In this paper we propose an alternative construction of the self-similar entrance laws for positive self-similar Markov processes. The study of entrance laws has been carried out in previous papers using different techniques, depending on whether the process hits zero in a finite time almost surely or not. The technique here used allows to obtain the entrance laws in a unified way. Besides, we show that in the case where the process hits zero in a finite time, if there exists a self-similar entrance law, then there are infinitely many, but they can all be embedded into a single one. We propose"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05229","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":"1507.05229","created_at":"2026-05-18T01:36:37.484708+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.05229v1","created_at":"2026-05-18T01:36:37.484708+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05229","created_at":"2026-05-18T01:36:37.484708+00:00"},{"alias_kind":"pith_short_12","alias_value":"4SYRMBNDZI3Q","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"4SYRMBNDZI3QKD3D","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"4SYRMBND","created_at":"2026-05-18T12:29:05.191682+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/4SYRMBNDZI3QKD3DJGDUFJSAHI","json":"https://pith.science/pith/4SYRMBNDZI3QKD3DJGDUFJSAHI.json","graph_json":"https://pith.science/api/pith-number/4SYRMBNDZI3QKD3DJGDUFJSAHI/graph.json","events_json":"https://pith.science/api/pith-number/4SYRMBNDZI3QKD3DJGDUFJSAHI/events.json","paper":"https://pith.science/paper/4SYRMBND"},"agent_actions":{"view_html":"https://pith.science/pith/4SYRMBNDZI3QKD3DJGDUFJSAHI","download_json":"https://pith.science/pith/4SYRMBNDZI3QKD3DJGDUFJSAHI.json","view_paper":"https://pith.science/paper/4SYRMBND","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.05229&json=true","fetch_graph":"https://pith.science/api/pith-number/4SYRMBNDZI3QKD3DJGDUFJSAHI/graph.json","fetch_events":"https://pith.science/api/pith-number/4SYRMBNDZI3QKD3DJGDUFJSAHI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4SYRMBNDZI3QKD3DJGDUFJSAHI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4SYRMBNDZI3QKD3DJGDUFJSAHI/action/storage_attestation","attest_author":"https://pith.science/pith/4SYRMBNDZI3QKD3DJGDUFJSAHI/action/author_attestation","sign_citation":"https://pith.science/pith/4SYRMBNDZI3QKD3DJGDUFJSAHI/action/citation_signature","submit_replication":"https://pith.science/pith/4SYRMBNDZI3QKD3DJGDUFJSAHI/action/replication_record"}},"created_at":"2026-05-18T01:36:37.484708+00:00","updated_at":"2026-05-18T01:36:37.484708+00:00"}