{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:RHDAKIAHDPNBWPAWYWRWI5XL26","short_pith_number":"pith:RHDAKIAH","schema_version":"1.0","canonical_sha256":"89c60520071bda1b3c16c5a36476ebd7b359fafe01e287bd9102b523c88f8a67","source":{"kind":"arxiv","id":"1511.03972","version":4},"attestation_state":"computed","paper":{"title":"Refracted Continuous-State Branching Processes: Self-regulating populations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Antonio Murillo-Salas, Arno Siri-J\\'egousse, Jos\\'e Luis P\\'erez","submitted_at":"2015-11-12T17:14:08Z","abstract_excerpt":"We construct a modified continuous-state branching process whose Malthusian parameter is replaced by another when passing below a certain level. The construction is obtained via a Lamperti-like transform applied to a refracted L\\'evy process. Infinitesimal generator, probability of vanishing at infinity, of explosion and some path properties are also provided."},"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":"1511.03972","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-11-12T17:14:08Z","cross_cats_sorted":[],"title_canon_sha256":"2b3609410baf0c0d088dc7fa9d880d876475ee8cfd1f09dce9406b31565cbbab","abstract_canon_sha256":"4f394b04a05fe2180c43f0732cca76d4ef1ade50cb1ff50710fd9861c66059da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:12.383902Z","signature_b64":"MR2S15Lobxmppc6AL+KGGcJKiObhRF+qryptvSnfYHPD7bO8nqizaFQJEBmoiu3oUoFk0b6OYfutUjD2z1rtCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89c60520071bda1b3c16c5a36476ebd7b359fafe01e287bd9102b523c88f8a67","last_reissued_at":"2026-05-18T00:56:12.383384Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:12.383384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Refracted Continuous-State Branching Processes: Self-regulating populations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Antonio Murillo-Salas, Arno Siri-J\\'egousse, Jos\\'e Luis P\\'erez","submitted_at":"2015-11-12T17:14:08Z","abstract_excerpt":"We construct a modified continuous-state branching process whose Malthusian parameter is replaced by another when passing below a certain level. The construction is obtained via a Lamperti-like transform applied to a refracted L\\'evy process. Infinitesimal generator, probability of vanishing at infinity, of explosion and some path properties are also provided."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03972","kind":"arxiv","version":4},"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":"1511.03972","created_at":"2026-05-18T00:56:12.383470+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.03972v4","created_at":"2026-05-18T00:56:12.383470+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03972","created_at":"2026-05-18T00:56:12.383470+00:00"},{"alias_kind":"pith_short_12","alias_value":"RHDAKIAHDPNB","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"RHDAKIAHDPNBWPAW","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"RHDAKIAH","created_at":"2026-05-18T12:29:39.896362+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/RHDAKIAHDPNBWPAWYWRWI5XL26","json":"https://pith.science/pith/RHDAKIAHDPNBWPAWYWRWI5XL26.json","graph_json":"https://pith.science/api/pith-number/RHDAKIAHDPNBWPAWYWRWI5XL26/graph.json","events_json":"https://pith.science/api/pith-number/RHDAKIAHDPNBWPAWYWRWI5XL26/events.json","paper":"https://pith.science/paper/RHDAKIAH"},"agent_actions":{"view_html":"https://pith.science/pith/RHDAKIAHDPNBWPAWYWRWI5XL26","download_json":"https://pith.science/pith/RHDAKIAHDPNBWPAWYWRWI5XL26.json","view_paper":"https://pith.science/paper/RHDAKIAH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.03972&json=true","fetch_graph":"https://pith.science/api/pith-number/RHDAKIAHDPNBWPAWYWRWI5XL26/graph.json","fetch_events":"https://pith.science/api/pith-number/RHDAKIAHDPNBWPAWYWRWI5XL26/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RHDAKIAHDPNBWPAWYWRWI5XL26/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RHDAKIAHDPNBWPAWYWRWI5XL26/action/storage_attestation","attest_author":"https://pith.science/pith/RHDAKIAHDPNBWPAWYWRWI5XL26/action/author_attestation","sign_citation":"https://pith.science/pith/RHDAKIAHDPNBWPAWYWRWI5XL26/action/citation_signature","submit_replication":"https://pith.science/pith/RHDAKIAHDPNBWPAWYWRWI5XL26/action/replication_record"}},"created_at":"2026-05-18T00:56:12.383470+00:00","updated_at":"2026-05-18T00:56:12.383470+00:00"}