{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3SIGAWK7HJ4AM6PVHFFVS3SA4H","short_pith_number":"pith:3SIGAWK7","schema_version":"1.0","canonical_sha256":"dc9060595f3a780679f5394b596e40e1fc9ac1a485c827ae1a036ea3ef75974c","source":{"kind":"arxiv","id":"1404.4830","version":1},"attestation_state":"computed","paper":{"title":"Nonparametric species richness estimation under convexity constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"C\\'ecile Durot, Fran\\c{c}ois Koladjo, St\\'ephane Robin, Sylvie Huet","submitted_at":"2014-04-18T16:02:21Z","abstract_excerpt":"We consider the estimation of the total number $N$ of species based on the abundances of species that have been observed. We adopt a non parametric approach where the true abundance distribution $p$ is only supposed to be convex. From this assumption, we propose a definition for convex abundance distributions. We use a least-squares estimate of the truncated version of $p$ under the convexity constraint. We deduce two estimators of the total number of species, the asymptotic distribution of which are derived. We propose three different procedures, including a bootstrap one, to obtain a confide"},"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":"1404.4830","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-04-18T16:02:21Z","cross_cats_sorted":[],"title_canon_sha256":"7e260e022e0d7b118a1305aacedcd46a87ababde0c24e9d477f6c20ef9bf15db","abstract_canon_sha256":"e97591cb79566da666a241cd5ba925992547de22251121f1af5f29288b7d2bf8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:54.775520Z","signature_b64":"d8JErn1P+AFAaDdx2F3up4nPTibcyj9ouBY5S16M+66Wft3gLKECuHOZzUtnnlBLq0Zsc0fYmRguQrdPSilmBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc9060595f3a780679f5394b596e40e1fc9ac1a485c827ae1a036ea3ef75974c","last_reissued_at":"2026-05-18T02:53:54.774833Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:54.774833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonparametric species richness estimation under convexity constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"C\\'ecile Durot, Fran\\c{c}ois Koladjo, St\\'ephane Robin, Sylvie Huet","submitted_at":"2014-04-18T16:02:21Z","abstract_excerpt":"We consider the estimation of the total number $N$ of species based on the abundances of species that have been observed. We adopt a non parametric approach where the true abundance distribution $p$ is only supposed to be convex. From this assumption, we propose a definition for convex abundance distributions. We use a least-squares estimate of the truncated version of $p$ under the convexity constraint. We deduce two estimators of the total number of species, the asymptotic distribution of which are derived. We propose three different procedures, including a bootstrap one, to obtain a confide"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4830","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":"1404.4830","created_at":"2026-05-18T02:53:54.774953+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.4830v1","created_at":"2026-05-18T02:53:54.774953+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4830","created_at":"2026-05-18T02:53:54.774953+00:00"},{"alias_kind":"pith_short_12","alias_value":"3SIGAWK7HJ4A","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3SIGAWK7HJ4AM6PV","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3SIGAWK7","created_at":"2026-05-18T12:28:11.866339+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/3SIGAWK7HJ4AM6PVHFFVS3SA4H","json":"https://pith.science/pith/3SIGAWK7HJ4AM6PVHFFVS3SA4H.json","graph_json":"https://pith.science/api/pith-number/3SIGAWK7HJ4AM6PVHFFVS3SA4H/graph.json","events_json":"https://pith.science/api/pith-number/3SIGAWK7HJ4AM6PVHFFVS3SA4H/events.json","paper":"https://pith.science/paper/3SIGAWK7"},"agent_actions":{"view_html":"https://pith.science/pith/3SIGAWK7HJ4AM6PVHFFVS3SA4H","download_json":"https://pith.science/pith/3SIGAWK7HJ4AM6PVHFFVS3SA4H.json","view_paper":"https://pith.science/paper/3SIGAWK7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.4830&json=true","fetch_graph":"https://pith.science/api/pith-number/3SIGAWK7HJ4AM6PVHFFVS3SA4H/graph.json","fetch_events":"https://pith.science/api/pith-number/3SIGAWK7HJ4AM6PVHFFVS3SA4H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3SIGAWK7HJ4AM6PVHFFVS3SA4H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3SIGAWK7HJ4AM6PVHFFVS3SA4H/action/storage_attestation","attest_author":"https://pith.science/pith/3SIGAWK7HJ4AM6PVHFFVS3SA4H/action/author_attestation","sign_citation":"https://pith.science/pith/3SIGAWK7HJ4AM6PVHFFVS3SA4H/action/citation_signature","submit_replication":"https://pith.science/pith/3SIGAWK7HJ4AM6PVHFFVS3SA4H/action/replication_record"}},"created_at":"2026-05-18T02:53:54.774953+00:00","updated_at":"2026-05-18T02:53:54.774953+00:00"}