{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:LO5RXETCT4YSASB2MQCA2WS5NN","short_pith_number":"pith:LO5RXETC","canonical_record":{"source":{"id":"2607.16016","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2026-07-17T14:50:18Z","cross_cats_sorted":["stat.ME","stat.TH"],"title_canon_sha256":"aaed4adc2599c3c0463e6cf09eb8a3b0847efe76cd1948bb82da58ab8402eb2b","abstract_canon_sha256":"8eb73cae5ad4fc0115f13481817ff9c6b50ee0ff80c3100c89983d1320bb0835"},"schema_version":"1.0"},"canonical_sha256":"5bbb1b92629f3120483a64040d5a5d6b59263846c76d750e521135504c6660a3","source":{"kind":"arxiv","id":"2607.16016","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.16016","created_at":"2026-07-20T02:19:26Z"},{"alias_kind":"arxiv_version","alias_value":"2607.16016v1","created_at":"2026-07-20T02:19:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16016","created_at":"2026-07-20T02:19:26Z"},{"alias_kind":"pith_short_12","alias_value":"LO5RXETCT4YS","created_at":"2026-07-20T02:19:26Z"},{"alias_kind":"pith_short_16","alias_value":"LO5RXETCT4YSASB2","created_at":"2026-07-20T02:19:26Z"},{"alias_kind":"pith_short_8","alias_value":"LO5RXETC","created_at":"2026-07-20T02:19:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:LO5RXETCT4YSASB2MQCA2WS5NN","target":"record","payload":{"canonical_record":{"source":{"id":"2607.16016","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2026-07-17T14:50:18Z","cross_cats_sorted":["stat.ME","stat.TH"],"title_canon_sha256":"aaed4adc2599c3c0463e6cf09eb8a3b0847efe76cd1948bb82da58ab8402eb2b","abstract_canon_sha256":"8eb73cae5ad4fc0115f13481817ff9c6b50ee0ff80c3100c89983d1320bb0835"},"schema_version":"1.0"},"canonical_sha256":"5bbb1b92629f3120483a64040d5a5d6b59263846c76d750e521135504c6660a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-20T02:19:26.365291Z","signature_b64":"g+BjR5VZy6IggeFjaN1Qg39URziwZCizTczApXUJ8pDxwGfRdMwJ1GRDgIXsTjDGSaNjPGwKZAK913Tww0AKAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5bbb1b92629f3120483a64040d5a5d6b59263846c76d750e521135504c6660a3","last_reissued_at":"2026-07-20T02:19:26.364437Z","signature_status":"signed_v1","first_computed_at":"2026-07-20T02:19:26.364437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.16016","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":"2026-07-20T02:19:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HhNaW75phQFdAL1CmRUQU60xB6b1tuYIYebEUllHIhuOCbZyLynXzbvEcDkWDYLHcxfll533XfkrN9iUkUBPAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T17:01:54.105822Z"},"content_sha256":"bd9d3fdccb127dd91040268d544b7d04c8816a1128d8a2e186a32ecba605ffd4","schema_version":"1.0","event_id":"sha256:bd9d3fdccb127dd91040268d544b7d04c8816a1128d8a2e186a32ecba605ffd4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:LO5RXETCT4YSASB2MQCA2WS5NN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local polynomial estimation of quantile density functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Natalie Neumeyer, Niclas Jacobsen","submitted_at":"2026-07-17T14:50:18Z","abstract_excerpt":"A new approach for nonparametric estimation of the quantile density function (sparsity function) and its derivatives is suggested which is based on local polynomial estimation. The estimator has more advantageous properties at the boundaries than classical quantile density estimators. Asymptotic normality is shown and the bias, asymptotic variance as well as boundary properties are compared with other estimators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16016","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.16016/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-20T02:19:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NpelpddVumHD7XLQTmTxCQTeCT5wqxLS5SE9HwMMCGCZaevCTVyqbXq0pYGvy8BBNhVnY1//nY3yMD0a1enUDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T17:01:54.106751Z"},"content_sha256":"aed55b748cb4eeef67c335126a464bfb12bab9310bffe733c8887d7bf927ab40","schema_version":"1.0","event_id":"sha256:aed55b748cb4eeef67c335126a464bfb12bab9310bffe733c8887d7bf927ab40"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LO5RXETCT4YSASB2MQCA2WS5NN/bundle.json","state_url":"https://pith.science/pith/LO5RXETCT4YSASB2MQCA2WS5NN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LO5RXETCT4YSASB2MQCA2WS5NN/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":"2026-08-04T17:01:54Z","links":{"resolver":"https://pith.science/pith/LO5RXETCT4YSASB2MQCA2WS5NN","bundle":"https://pith.science/pith/LO5RXETCT4YSASB2MQCA2WS5NN/bundle.json","state":"https://pith.science/pith/LO5RXETCT4YSASB2MQCA2WS5NN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LO5RXETCT4YSASB2MQCA2WS5NN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LO5RXETCT4YSASB2MQCA2WS5NN","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":"8eb73cae5ad4fc0115f13481817ff9c6b50ee0ff80c3100c89983d1320bb0835","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2026-07-17T14:50:18Z","title_canon_sha256":"aaed4adc2599c3c0463e6cf09eb8a3b0847efe76cd1948bb82da58ab8402eb2b"},"schema_version":"1.0","source":{"id":"2607.16016","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.16016","created_at":"2026-07-20T02:19:26Z"},{"alias_kind":"arxiv_version","alias_value":"2607.16016v1","created_at":"2026-07-20T02:19:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16016","created_at":"2026-07-20T02:19:26Z"},{"alias_kind":"pith_short_12","alias_value":"LO5RXETCT4YS","created_at":"2026-07-20T02:19:26Z"},{"alias_kind":"pith_short_16","alias_value":"LO5RXETCT4YSASB2","created_at":"2026-07-20T02:19:26Z"},{"alias_kind":"pith_short_8","alias_value":"LO5RXETC","created_at":"2026-07-20T02:19:26Z"}],"graph_snapshots":[{"event_id":"sha256:aed55b748cb4eeef67c335126a464bfb12bab9310bffe733c8887d7bf927ab40","target":"graph","created_at":"2026-07-20T02:19:26Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.16016/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A new approach for nonparametric estimation of the quantile density function (sparsity function) and its derivatives is suggested which is based on local polynomial estimation. The estimator has more advantageous properties at the boundaries than classical quantile density estimators. Asymptotic normality is shown and the bias, asymptotic variance as well as boundary properties are compared with other estimators.","authors_text":"Natalie Neumeyer, Niclas Jacobsen","cross_cats":["stat.ME","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2026-07-17T14:50:18Z","title":"Local polynomial estimation of quantile density functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16016","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:bd9d3fdccb127dd91040268d544b7d04c8816a1128d8a2e186a32ecba605ffd4","target":"record","created_at":"2026-07-20T02:19:26Z","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":"8eb73cae5ad4fc0115f13481817ff9c6b50ee0ff80c3100c89983d1320bb0835","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2026-07-17T14:50:18Z","title_canon_sha256":"aaed4adc2599c3c0463e6cf09eb8a3b0847efe76cd1948bb82da58ab8402eb2b"},"schema_version":"1.0","source":{"id":"2607.16016","kind":"arxiv","version":1}},"canonical_sha256":"5bbb1b92629f3120483a64040d5a5d6b59263846c76d750e521135504c6660a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bbb1b92629f3120483a64040d5a5d6b59263846c76d750e521135504c6660a3","first_computed_at":"2026-07-20T02:19:26.364437Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-20T02:19:26.364437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g+BjR5VZy6IggeFjaN1Qg39URziwZCizTczApXUJ8pDxwGfRdMwJ1GRDgIXsTjDGSaNjPGwKZAK913Tww0AKAA==","signature_status":"signed_v1","signed_at":"2026-07-20T02:19:26.365291Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.16016","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd9d3fdccb127dd91040268d544b7d04c8816a1128d8a2e186a32ecba605ffd4","sha256:aed55b748cb4eeef67c335126a464bfb12bab9310bffe733c8887d7bf927ab40"],"state_sha256":"de8706ff2090328984bd8b8cbc46bfd0862aa903753c06f257beb01cdfe6fe69"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bC4uX+ccpjZ8nDTgRjBen1CUONWTTk02eAzvZirczc/XtQblKnev7HG6Xw4rUmgkFspdTU3c3eXyv9sGCJQgDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T17:01:54.112076Z","bundle_sha256":"ed56701c10ba9717208d297e85333d8de0d6aa4aac85d18c1f75a9455a117129"}}