{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CKZY5LJIAVQD4CT5AFDIWZIYVM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"96ca78ecd69dea5168779e6b16c2c74ca10644fc51a5451a033dda4bca442683","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-12-21T20:31:50Z","title_canon_sha256":"6e843dc4a078df0c8f599557c723db39aa41e6f98e50bb0a01b8c1100a0b9599"},"schema_version":"1.0","source":{"id":"1512.06809","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.06809","created_at":"2026-05-18T01:11:41Z"},{"alias_kind":"arxiv_version","alias_value":"1512.06809v3","created_at":"2026-05-18T01:11:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06809","created_at":"2026-05-18T01:11:41Z"},{"alias_kind":"pith_short_12","alias_value":"CKZY5LJIAVQD","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CKZY5LJIAVQD4CT5","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CKZY5LJI","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:88062e80bcdfd6598f1fa8ed6f067631939f63d105b5858012a0df7912804f1d","target":"graph","created_at":"2026-05-18T01:11:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the binary classification problem for Poisson point processes, which are allowed to take values in a general metric space. The problem is tackled in two different ways: estimating nonparametricaly the intensity functions of the processes (and then plugged into a deterministic formula which expresses the regression function in terms of the intensities), and performing the classical $k$ nearest neighbor rule by introducing a suitable distance between patterns of points. In the first approach we prove the consistency of the estimated intensity so that the rule turns out to be also consis","authors_text":"Alejandro Cholaquidis, Leonardo Moreno, Liliana Forzani, Pamela Llop","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-12-21T20:31:50Z","title":"On the classification problem for Poisson Point Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06809","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9e987acce66be94a9aac82e66aac9177aeb263dd14f66453bff745d37947258a","target":"record","created_at":"2026-05-18T01:11:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"96ca78ecd69dea5168779e6b16c2c74ca10644fc51a5451a033dda4bca442683","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-12-21T20:31:50Z","title_canon_sha256":"6e843dc4a078df0c8f599557c723db39aa41e6f98e50bb0a01b8c1100a0b9599"},"schema_version":"1.0","source":{"id":"1512.06809","kind":"arxiv","version":3}},"canonical_sha256":"12b38ead2805603e0a7d01468b6518ab08be848d762f9b7d209550fc65e60b2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12b38ead2805603e0a7d01468b6518ab08be848d762f9b7d209550fc65e60b2a","first_computed_at":"2026-05-18T01:11:41.216989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:41.216989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DuFIsAWiLYKnoe5OtW3cZOtwr++rU0RL8+QHqRHNVuPcivmjhlpELTbun5taTphoInbkkhN0DLGNqtG2PjnwCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:41.217332Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.06809","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e987acce66be94a9aac82e66aac9177aeb263dd14f66453bff745d37947258a","sha256:88062e80bcdfd6598f1fa8ed6f067631939f63d105b5858012a0df7912804f1d"],"state_sha256":"015a361ecb3ef98e5af84461b9f9d11168bb57fa805d05b7e12af72c0c2e51fc"}