{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:B7CJVBUR2TLN3EW4YZQ757M5H6","short_pith_number":"pith:B7CJVBUR","schema_version":"1.0","canonical_sha256":"0fc49a8691d4d6dd92dcc661fefd9d3f9cec78065ff648b660583933e6ea86b5","source":{"kind":"arxiv","id":"2502.04588","version":4},"attestation_state":"computed","paper":{"title":"Sampling schemes of multitype continuous-time Bienaym\\'e-Galton-Watson trees and limiting critical genealogies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Juan Carlos Pardo, Osvaldo Angtuncio Hern\\'andez, Simon C. Harris","submitted_at":"2025-02-07T00:46:50Z","abstract_excerpt":"We study the genealogies of samples of $k$ distinguished particles drawn from the population alive at some fixed time in a continuous-time multitype Bienaym\\'e-Galton-Watson (MBGW) process under two different type dependent sampling schemes: uniform sampling without replacement within types given a fixed type configuration, and sampling according to type-dependent weights. These schemes complement the uniform sampling at fixed time $T$ considered in Angtuncio, Pardo, C. Harris (2026a) which did not distinguish between sampled types. Under each scheme for a fixed sampling time $T$, we character"},"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":"2502.04588","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-02-07T00:46:50Z","cross_cats_sorted":[],"title_canon_sha256":"bb8355f4d1b51ae846e7b79bbcd08b62d11481f08fb0190212288f178227f4c9","abstract_canon_sha256":"fbf17a5d3efd6206e2110effa93e5dfce2ac49c8ac2fcce7c4054aef0db6257d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:01.528763Z","signature_b64":"2OXzWjv0BPCnu9/M5MwCtTLCygUcawv7sZSpymFNksjOdI9PEY7cweDIC9x8BUvjbkOjgs3eop29L+4seHetBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fc49a8691d4d6dd92dcc661fefd9d3f9cec78065ff648b660583933e6ea86b5","last_reissued_at":"2026-05-17T23:39:01.528036Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:01.528036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sampling schemes of multitype continuous-time Bienaym\\'e-Galton-Watson trees and limiting critical genealogies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Juan Carlos Pardo, Osvaldo Angtuncio Hern\\'andez, Simon C. Harris","submitted_at":"2025-02-07T00:46:50Z","abstract_excerpt":"We study the genealogies of samples of $k$ distinguished particles drawn from the population alive at some fixed time in a continuous-time multitype Bienaym\\'e-Galton-Watson (MBGW) process under two different type dependent sampling schemes: uniform sampling without replacement within types given a fixed type configuration, and sampling according to type-dependent weights. These schemes complement the uniform sampling at fixed time $T$ considered in Angtuncio, Pardo, C. Harris (2026a) which did not distinguish between sampled types. Under each scheme for a fixed sampling time $T$, we character"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.04588","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":"2502.04588","created_at":"2026-05-17T23:39:01.528165+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.04588v4","created_at":"2026-05-17T23:39:01.528165+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.04588","created_at":"2026-05-17T23:39:01.528165+00:00"},{"alias_kind":"pith_short_12","alias_value":"B7CJVBUR2TLN","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_16","alias_value":"B7CJVBUR2TLN3EW4","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_8","alias_value":"B7CJVBUR","created_at":"2026-05-18T12:33:37.589309+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/B7CJVBUR2TLN3EW4YZQ757M5H6","json":"https://pith.science/pith/B7CJVBUR2TLN3EW4YZQ757M5H6.json","graph_json":"https://pith.science/api/pith-number/B7CJVBUR2TLN3EW4YZQ757M5H6/graph.json","events_json":"https://pith.science/api/pith-number/B7CJVBUR2TLN3EW4YZQ757M5H6/events.json","paper":"https://pith.science/paper/B7CJVBUR"},"agent_actions":{"view_html":"https://pith.science/pith/B7CJVBUR2TLN3EW4YZQ757M5H6","download_json":"https://pith.science/pith/B7CJVBUR2TLN3EW4YZQ757M5H6.json","view_paper":"https://pith.science/paper/B7CJVBUR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.04588&json=true","fetch_graph":"https://pith.science/api/pith-number/B7CJVBUR2TLN3EW4YZQ757M5H6/graph.json","fetch_events":"https://pith.science/api/pith-number/B7CJVBUR2TLN3EW4YZQ757M5H6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B7CJVBUR2TLN3EW4YZQ757M5H6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B7CJVBUR2TLN3EW4YZQ757M5H6/action/storage_attestation","attest_author":"https://pith.science/pith/B7CJVBUR2TLN3EW4YZQ757M5H6/action/author_attestation","sign_citation":"https://pith.science/pith/B7CJVBUR2TLN3EW4YZQ757M5H6/action/citation_signature","submit_replication":"https://pith.science/pith/B7CJVBUR2TLN3EW4YZQ757M5H6/action/replication_record"}},"created_at":"2026-05-17T23:39:01.528165+00:00","updated_at":"2026-05-17T23:39:01.528165+00:00"}