{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:NFHSZTZBWCURU4PNTOXHWOKAYW","short_pith_number":"pith:NFHSZTZB","canonical_record":{"source":{"id":"1509.00500","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-09-01T20:47:48Z","cross_cats_sorted":[],"title_canon_sha256":"4252bdaeb66db928b16b021e1743690ecb15ee2f61a84a723e62a98a67791729","abstract_canon_sha256":"680380f388f88382239dbc00c7266857b4e2d26dbce00a3e66e5e39d59ff9f10"},"schema_version":"1.0"},"canonical_sha256":"694f2ccf21b0a91a71ed9bae7b3940c5a70a6eb5a11515251691e59628a910e3","source":{"kind":"arxiv","id":"1509.00500","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00500","created_at":"2026-05-18T01:34:07Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00500v1","created_at":"2026-05-18T01:34:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00500","created_at":"2026-05-18T01:34:07Z"},{"alias_kind":"pith_short_12","alias_value":"NFHSZTZBWCUR","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NFHSZTZBWCURU4PN","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NFHSZTZB","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:NFHSZTZBWCURU4PNTOXHWOKAYW","target":"record","payload":{"canonical_record":{"source":{"id":"1509.00500","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-09-01T20:47:48Z","cross_cats_sorted":[],"title_canon_sha256":"4252bdaeb66db928b16b021e1743690ecb15ee2f61a84a723e62a98a67791729","abstract_canon_sha256":"680380f388f88382239dbc00c7266857b4e2d26dbce00a3e66e5e39d59ff9f10"},"schema_version":"1.0"},"canonical_sha256":"694f2ccf21b0a91a71ed9bae7b3940c5a70a6eb5a11515251691e59628a910e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:07.010326Z","signature_b64":"511xTKKQPdVYREkt+ebz7w5nUvIRkxMhb/geAiJFT/FxhKnrbQ8KkMgYCMnNYAcrgfSnVFbBXLzP0O0AoyXsCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"694f2ccf21b0a91a71ed9bae7b3940c5a70a6eb5a11515251691e59628a910e3","last_reissued_at":"2026-05-18T01:34:07.009724Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:07.009724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.00500","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":"2026-05-18T01:34:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rc+GlnC98RIqe4jIsXGKiJQ3btBE7JNCKGSJs0gACYx9+Onu9xxHYlrGUpZ6sbFDoUd5Dq5+40/cEzKyxD0YAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:06:34.711656Z"},"content_sha256":"08c2a13fea108b03660501824408d282ec92df4e4f2ffc42893e95e37b5ced07","schema_version":"1.0","event_id":"sha256:08c2a13fea108b03660501824408d282ec92df4e4f2ffc42893e95e37b5ced07"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:NFHSZTZBWCURU4PNTOXHWOKAYW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Estimation of delta-contaminated density of the random intensity of Poisson data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Daniela De Canditiis, Marianna Pensky","submitted_at":"2015-09-01T20:47:48Z","abstract_excerpt":"In the present paper, we constructed an estimator of a delta contaminated mixing density function $g(\\lambda)$ of the intensity $\\lambda$ of the Poisson distribution. The estimator is based on an expansion of the continuous portion $g_0(\\lambda)$ of the unknown pdf over an overcomplete dictionary with the recovery of the coefficients obtained as solution of an optimization problem with Lasso penalty. In order to apply Lasso technique in the, so called, prediction setting where it requires virtually no assumptions on dictionary and, moreover, to ensure fast convergence of Lasso estimator, we us"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00500","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":"2026-05-18T01:34:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OOCCK1BBXUdsakjKMta1jnQaozscFWWgzxzxWyjdBL493r0Kgn4KmjmK4p6No2GaXvIJ0H3WXdqPD1Old9u4CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:06:34.711995Z"},"content_sha256":"41cd5e88de2e4a6c9577291045b8502d887f85a831c929e87356d0d7e9872506","schema_version":"1.0","event_id":"sha256:41cd5e88de2e4a6c9577291045b8502d887f85a831c929e87356d0d7e9872506"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NFHSZTZBWCURU4PNTOXHWOKAYW/bundle.json","state_url":"https://pith.science/pith/NFHSZTZBWCURU4PNTOXHWOKAYW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NFHSZTZBWCURU4PNTOXHWOKAYW/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":"2026-06-02T08:06:34Z","links":{"resolver":"https://pith.science/pith/NFHSZTZBWCURU4PNTOXHWOKAYW","bundle":"https://pith.science/pith/NFHSZTZBWCURU4PNTOXHWOKAYW/bundle.json","state":"https://pith.science/pith/NFHSZTZBWCURU4PNTOXHWOKAYW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NFHSZTZBWCURU4PNTOXHWOKAYW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NFHSZTZBWCURU4PNTOXHWOKAYW","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":"680380f388f88382239dbc00c7266857b4e2d26dbce00a3e66e5e39d59ff9f10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-09-01T20:47:48Z","title_canon_sha256":"4252bdaeb66db928b16b021e1743690ecb15ee2f61a84a723e62a98a67791729"},"schema_version":"1.0","source":{"id":"1509.00500","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00500","created_at":"2026-05-18T01:34:07Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00500v1","created_at":"2026-05-18T01:34:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00500","created_at":"2026-05-18T01:34:07Z"},{"alias_kind":"pith_short_12","alias_value":"NFHSZTZBWCUR","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NFHSZTZBWCURU4PN","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NFHSZTZB","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:41cd5e88de2e4a6c9577291045b8502d887f85a831c929e87356d0d7e9872506","target":"graph","created_at":"2026-05-18T01:34:07Z","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":"In the present paper, we constructed an estimator of a delta contaminated mixing density function $g(\\lambda)$ of the intensity $\\lambda$ of the Poisson distribution. The estimator is based on an expansion of the continuous portion $g_0(\\lambda)$ of the unknown pdf over an overcomplete dictionary with the recovery of the coefficients obtained as solution of an optimization problem with Lasso penalty. In order to apply Lasso technique in the, so called, prediction setting where it requires virtually no assumptions on dictionary and, moreover, to ensure fast convergence of Lasso estimator, we us","authors_text":"Daniela De Canditiis, Marianna Pensky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-09-01T20:47:48Z","title":"Estimation of delta-contaminated density of the random intensity of Poisson data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00500","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":"sha256:08c2a13fea108b03660501824408d282ec92df4e4f2ffc42893e95e37b5ced07","target":"record","created_at":"2026-05-18T01:34:07Z","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":"680380f388f88382239dbc00c7266857b4e2d26dbce00a3e66e5e39d59ff9f10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-09-01T20:47:48Z","title_canon_sha256":"4252bdaeb66db928b16b021e1743690ecb15ee2f61a84a723e62a98a67791729"},"schema_version":"1.0","source":{"id":"1509.00500","kind":"arxiv","version":1}},"canonical_sha256":"694f2ccf21b0a91a71ed9bae7b3940c5a70a6eb5a11515251691e59628a910e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"694f2ccf21b0a91a71ed9bae7b3940c5a70a6eb5a11515251691e59628a910e3","first_computed_at":"2026-05-18T01:34:07.009724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:07.009724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"511xTKKQPdVYREkt+ebz7w5nUvIRkxMhb/geAiJFT/FxhKnrbQ8KkMgYCMnNYAcrgfSnVFbBXLzP0O0AoyXsCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:07.010326Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.00500","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08c2a13fea108b03660501824408d282ec92df4e4f2ffc42893e95e37b5ced07","sha256:41cd5e88de2e4a6c9577291045b8502d887f85a831c929e87356d0d7e9872506"],"state_sha256":"cd363d9060ad9eef876a293493a5dd58c5527c170662c78f8cc418747b819a43"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JztyvInbBNwHed7F2fY9hTYgTlQeMBiEhS5R3ctY/a1NDmhuC1Kqurqd++ROOcP0qgsTQZVqwiguBBl4oMQ0CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:06:34.713877Z","bundle_sha256":"eed700afd98c3d5be0fb3c270233d1381d1125aedf389317dce0a176b907e7a3"}}