{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Z42326NEFL7NDBIWZLD3KITSLC","short_pith_number":"pith:Z42326NE","canonical_record":{"source":{"id":"1103.5947","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-03-30T14:47:49Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"f8ce9c8e4be10e1815c5528a9594c4a9473e1ed227135019e37605d4f353f25c","abstract_canon_sha256":"adc599dff3b78cf6f814df88773c989820a64861411bb74fa7d44cb20d08773f"},"schema_version":"1.0"},"canonical_sha256":"cf35bd79a42afed18516cac7b52272588f647b52c4b50ce7f154784ef7b1be6b","source":{"kind":"arxiv","id":"1103.5947","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5947","created_at":"2026-05-18T04:25:27Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5947v1","created_at":"2026-05-18T04:25:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5947","created_at":"2026-05-18T04:25:27Z"},{"alias_kind":"pith_short_12","alias_value":"Z42326NEFL7N","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Z42326NEFL7NDBIW","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Z42326NE","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Z42326NEFL7NDBIWZLD3KITSLC","target":"record","payload":{"canonical_record":{"source":{"id":"1103.5947","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-03-30T14:47:49Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"f8ce9c8e4be10e1815c5528a9594c4a9473e1ed227135019e37605d4f353f25c","abstract_canon_sha256":"adc599dff3b78cf6f814df88773c989820a64861411bb74fa7d44cb20d08773f"},"schema_version":"1.0"},"canonical_sha256":"cf35bd79a42afed18516cac7b52272588f647b52c4b50ce7f154784ef7b1be6b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:25:27.103774Z","signature_b64":"hh2kgdbTIa1ish+4uBq71AO1GlUVRFoaG4KOn+BlpudLlXcWYFdaW0N6nR1bJqf8nmqghitfOxI8VDF2SzjXCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf35bd79a42afed18516cac7b52272588f647b52c4b50ce7f154784ef7b1be6b","last_reissued_at":"2026-05-18T04:25:27.103084Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:25:27.103084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.5947","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:25:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3sAadUiYKrWSRzoy3Du/ipxTN3nhKXLwYVBfs9hMvEXTlWQKjNdFnZatwKvy2CFsiT8f0Ktx/D0lE8XGq9+ODA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:33:46.227491Z"},"content_sha256":"fa1f73d865250cae5ba9a8b8fe88f117398606100911acf4484df0544d81b40f","schema_version":"1.0","event_id":"sha256:fa1f73d865250cae5ba9a8b8fe88f117398606100911acf4484df0544d81b40f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Z42326NEFL7NDBIWZLD3KITSLC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extreme value and Haar series estimates of point process boundaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Pierre Jacob, St\\'ephane Girard","submitted_at":"2011-03-30T14:47:49Z","abstract_excerpt":"We present a new method for estimating the edge of a two-dimensional bounded set, given a finite random set of points drawn from the interior. The estimator is based both on Haar series and extreme values of the point process. We give conditions for various kind of convergence and we obtain remarkably different possible limit distributions. We propose a method of reducing the negative bias, illustrated by a simulation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5947","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:25:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ijEEqDW+o3y6Z6opoJRD31gi28ejg87FzUTngt1IH9KFDYy+dDXa8Z4Z8knsJbws2eZWPu803YPIDe5dN4RuCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:33:46.228167Z"},"content_sha256":"791727fcb2258ceccd7be59797801cf338349ceb1593d5572fe161d19eb9cc98","schema_version":"1.0","event_id":"sha256:791727fcb2258ceccd7be59797801cf338349ceb1593d5572fe161d19eb9cc98"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z42326NEFL7NDBIWZLD3KITSLC/bundle.json","state_url":"https://pith.science/pith/Z42326NEFL7NDBIWZLD3KITSLC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z42326NEFL7NDBIWZLD3KITSLC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T20:33:46Z","links":{"resolver":"https://pith.science/pith/Z42326NEFL7NDBIWZLD3KITSLC","bundle":"https://pith.science/pith/Z42326NEFL7NDBIWZLD3KITSLC/bundle.json","state":"https://pith.science/pith/Z42326NEFL7NDBIWZLD3KITSLC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z42326NEFL7NDBIWZLD3KITSLC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Z42326NEFL7NDBIWZLD3KITSLC","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":"adc599dff3b78cf6f814df88773c989820a64861411bb74fa7d44cb20d08773f","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-03-30T14:47:49Z","title_canon_sha256":"f8ce9c8e4be10e1815c5528a9594c4a9473e1ed227135019e37605d4f353f25c"},"schema_version":"1.0","source":{"id":"1103.5947","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5947","created_at":"2026-05-18T04:25:27Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5947v1","created_at":"2026-05-18T04:25:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5947","created_at":"2026-05-18T04:25:27Z"},{"alias_kind":"pith_short_12","alias_value":"Z42326NEFL7N","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Z42326NEFL7NDBIW","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Z42326NE","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:791727fcb2258ceccd7be59797801cf338349ceb1593d5572fe161d19eb9cc98","target":"graph","created_at":"2026-05-18T04:25:27Z","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 present a new method for estimating the edge of a two-dimensional bounded set, given a finite random set of points drawn from the interior. The estimator is based both on Haar series and extreme values of the point process. We give conditions for various kind of convergence and we obtain remarkably different possible limit distributions. We propose a method of reducing the negative bias, illustrated by a simulation.","authors_text":"Pierre Jacob, St\\'ephane Girard","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-03-30T14:47:49Z","title":"Extreme value and Haar series estimates of point process boundaries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5947","kind":"arxiv","version":1},"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:fa1f73d865250cae5ba9a8b8fe88f117398606100911acf4484df0544d81b40f","target":"record","created_at":"2026-05-18T04:25:27Z","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":"adc599dff3b78cf6f814df88773c989820a64861411bb74fa7d44cb20d08773f","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-03-30T14:47:49Z","title_canon_sha256":"f8ce9c8e4be10e1815c5528a9594c4a9473e1ed227135019e37605d4f353f25c"},"schema_version":"1.0","source":{"id":"1103.5947","kind":"arxiv","version":1}},"canonical_sha256":"cf35bd79a42afed18516cac7b52272588f647b52c4b50ce7f154784ef7b1be6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf35bd79a42afed18516cac7b52272588f647b52c4b50ce7f154784ef7b1be6b","first_computed_at":"2026-05-18T04:25:27.103084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:27.103084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hh2kgdbTIa1ish+4uBq71AO1GlUVRFoaG4KOn+BlpudLlXcWYFdaW0N6nR1bJqf8nmqghitfOxI8VDF2SzjXCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:27.103774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5947","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa1f73d865250cae5ba9a8b8fe88f117398606100911acf4484df0544d81b40f","sha256:791727fcb2258ceccd7be59797801cf338349ceb1593d5572fe161d19eb9cc98"],"state_sha256":"b78c47758e9d56b6e80e3cd229d2dde1fd3c90ec01990d0bddb70fc7fa4c702a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PM/Wstpj6ZqCpvaQ85UpiZEqcHikTSs38GraBuZjzdq0fZN3K5cq8yU9J1pirqwaRnd4MpkBDXePB0ggeKqBCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T20:33:46.231443Z","bundle_sha256":"570f581e1694d9665808fae521622a13d81c9e804972e5c9f5ff3320b83beb1e"}}