{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:P5B2YF2UQV5Z4SIMOIRT5UUDBS","short_pith_number":"pith:P5B2YF2U","canonical_record":{"source":{"id":"1411.7687","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-27T19:32:25Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"c45092f6c538462a7f3529ad220222e2c7af14b397a130fa8bc5cd3056223e12","abstract_canon_sha256":"95478a80490b18fc94980405eb4c0ab185a0c1ca363089aec14773f794945d5a"},"schema_version":"1.0"},"canonical_sha256":"7f43ac1754857b9e490c72233ed2830c8d729a5a34b35a6d4dc924f27a312427","source":{"kind":"arxiv","id":"1411.7687","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7687","created_at":"2026-05-18T00:56:51Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7687v1","created_at":"2026-05-18T00:56:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7687","created_at":"2026-05-18T00:56:51Z"},{"alias_kind":"pith_short_12","alias_value":"P5B2YF2UQV5Z","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"P5B2YF2UQV5Z4SIM","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"P5B2YF2U","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:P5B2YF2UQV5Z4SIMOIRT5UUDBS","target":"record","payload":{"canonical_record":{"source":{"id":"1411.7687","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-27T19:32:25Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"c45092f6c538462a7f3529ad220222e2c7af14b397a130fa8bc5cd3056223e12","abstract_canon_sha256":"95478a80490b18fc94980405eb4c0ab185a0c1ca363089aec14773f794945d5a"},"schema_version":"1.0"},"canonical_sha256":"7f43ac1754857b9e490c72233ed2830c8d729a5a34b35a6d4dc924f27a312427","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:51.357504Z","signature_b64":"aZpxs8Up/XL4p0giLDYhgJsIbwIzx7c2Q62m+wzh4R/C3RNVjvgg+7QALbizu3gqjIQjaRzPmEXjaY8/eJSoCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f43ac1754857b9e490c72233ed2830c8d729a5a34b35a6d4dc924f27a312427","last_reissued_at":"2026-05-18T00:56:51.356987Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:51.356987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.7687","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":"2026-05-18T00:56:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y5ifrJzpKAv2qZeiwmw7PP4tVOIUOmDmroc7EgDvVNPUXIdBtAdOtq7zPqk5stI+QEYY1Iqncd58E3ehAYjaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:03:22.024209Z"},"content_sha256":"29c66aaee2a79d5fcb24f1d0503d6751f3f3bd380aca4105c9fe295d1a7ac429","schema_version":"1.0","event_id":"sha256:29c66aaee2a79d5fcb24f1d0503d6751f3f3bd380aca4105c9fe295d1a7ac429"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:P5B2YF2UQV5Z4SIMOIRT5UUDBS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A fully data-driven method for estimating density level sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"A. Rodr\\'iguez-Casal, P. Saavedra-Nieves","submitted_at":"2014-11-27T19:32:25Z","abstract_excerpt":"Density level sets can be estimated using plug-in methods, excess mass algorithms or a hybrid of the two previous methodologies. The plug-in algorithms are based on replacing the unknown density by some nonparametric estimator, usually the kernel. Thus, the bandwidth selection is a fundamental problem from an applied perspective. However, if some a priori information about the geometry of the level set is available, then excess mass algorithms could be useful. Hybrid methods such that granulometric smoothing algorithm assume a mild geometric restriction on the level set and it requires a pilot"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7687","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":"2026-05-18T00:56:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AlRSeVWsoBMQ6Iu45U1Ed4BgQcSkFsResY4hYRrT9pZLkAzEBycfA2ZmAFc55eMlLd8n0ePawlXbBOVIEh0vCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:03:22.024848Z"},"content_sha256":"86e25a2e658f41a1501c989b93c816c41da03b623dc184de6100243d6440ab8a","schema_version":"1.0","event_id":"sha256:86e25a2e658f41a1501c989b93c816c41da03b623dc184de6100243d6440ab8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P5B2YF2UQV5Z4SIMOIRT5UUDBS/bundle.json","state_url":"https://pith.science/pith/P5B2YF2UQV5Z4SIMOIRT5UUDBS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P5B2YF2UQV5Z4SIMOIRT5UUDBS/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":"2026-06-06T21:03:22Z","links":{"resolver":"https://pith.science/pith/P5B2YF2UQV5Z4SIMOIRT5UUDBS","bundle":"https://pith.science/pith/P5B2YF2UQV5Z4SIMOIRT5UUDBS/bundle.json","state":"https://pith.science/pith/P5B2YF2UQV5Z4SIMOIRT5UUDBS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P5B2YF2UQV5Z4SIMOIRT5UUDBS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:P5B2YF2UQV5Z4SIMOIRT5UUDBS","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":"95478a80490b18fc94980405eb4c0ab185a0c1ca363089aec14773f794945d5a","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-27T19:32:25Z","title_canon_sha256":"c45092f6c538462a7f3529ad220222e2c7af14b397a130fa8bc5cd3056223e12"},"schema_version":"1.0","source":{"id":"1411.7687","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7687","created_at":"2026-05-18T00:56:51Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7687v1","created_at":"2026-05-18T00:56:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7687","created_at":"2026-05-18T00:56:51Z"},{"alias_kind":"pith_short_12","alias_value":"P5B2YF2UQV5Z","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"P5B2YF2UQV5Z4SIM","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"P5B2YF2U","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:86e25a2e658f41a1501c989b93c816c41da03b623dc184de6100243d6440ab8a","target":"graph","created_at":"2026-05-18T00:56:51Z","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":"Density level sets can be estimated using plug-in methods, excess mass algorithms or a hybrid of the two previous methodologies. The plug-in algorithms are based on replacing the unknown density by some nonparametric estimator, usually the kernel. Thus, the bandwidth selection is a fundamental problem from an applied perspective. However, if some a priori information about the geometry of the level set is available, then excess mass algorithms could be useful. Hybrid methods such that granulometric smoothing algorithm assume a mild geometric restriction on the level set and it requires a pilot","authors_text":"A. Rodr\\'iguez-Casal, P. Saavedra-Nieves","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-27T19:32:25Z","title":"A fully data-driven method for estimating density level sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7687","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":"sha256:29c66aaee2a79d5fcb24f1d0503d6751f3f3bd380aca4105c9fe295d1a7ac429","target":"record","created_at":"2026-05-18T00:56:51Z","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":"95478a80490b18fc94980405eb4c0ab185a0c1ca363089aec14773f794945d5a","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-27T19:32:25Z","title_canon_sha256":"c45092f6c538462a7f3529ad220222e2c7af14b397a130fa8bc5cd3056223e12"},"schema_version":"1.0","source":{"id":"1411.7687","kind":"arxiv","version":1}},"canonical_sha256":"7f43ac1754857b9e490c72233ed2830c8d729a5a34b35a6d4dc924f27a312427","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f43ac1754857b9e490c72233ed2830c8d729a5a34b35a6d4dc924f27a312427","first_computed_at":"2026-05-18T00:56:51.356987Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:51.356987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aZpxs8Up/XL4p0giLDYhgJsIbwIzx7c2Q62m+wzh4R/C3RNVjvgg+7QALbizu3gqjIQjaRzPmEXjaY8/eJSoCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:51.357504Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.7687","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29c66aaee2a79d5fcb24f1d0503d6751f3f3bd380aca4105c9fe295d1a7ac429","sha256:86e25a2e658f41a1501c989b93c816c41da03b623dc184de6100243d6440ab8a"],"state_sha256":"01dc49ea5cbbb8668cb6f1e16990e0baa39f4485ab2338faa41e717390dd06ce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YSb4qNdAXF7D4MI2fVJO1JYOJDrahrcTgeBodEGZc4GJ4hMFWgtcxXn/tIYLqZ1aWKi14r1jW5/dct2GrfNYDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T21:03:22.028096Z","bundle_sha256":"657db8ce6a787c89fafa6003803994a67edfe1f010878262510d639e90c5eec4"}}