{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:PIZW2DSMKNPXF2JR37XU55SLOG","short_pith_number":"pith:PIZW2DSM","canonical_record":{"source":{"id":"1910.14009","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-10-30T17:45:29Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"bb163c277ff17fe7eba35bec44f8e9d9ba6186c73f43a680995bba5776517c21","abstract_canon_sha256":"156b493342f17f8c86799dfd11c9ea67975ac9eee81c9f8dc8d404bbc6108de2"},"schema_version":"1.0"},"canonical_sha256":"7a336d0e4c535f72e931dfef4ef64b71a3e30baa6443c21dbd3bc751e12dd4cc","source":{"kind":"arxiv","id":"1910.14009","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.14009","created_at":"2026-07-05T06:47:09Z"},{"alias_kind":"arxiv_version","alias_value":"1910.14009v4","created_at":"2026-07-05T06:47:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.14009","created_at":"2026-07-05T06:47:09Z"},{"alias_kind":"pith_short_12","alias_value":"PIZW2DSMKNPX","created_at":"2026-07-05T06:47:09Z"},{"alias_kind":"pith_short_16","alias_value":"PIZW2DSMKNPXF2JR","created_at":"2026-07-05T06:47:09Z"},{"alias_kind":"pith_short_8","alias_value":"PIZW2DSM","created_at":"2026-07-05T06:47:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:PIZW2DSMKNPXF2JR37XU55SLOG","target":"record","payload":{"canonical_record":{"source":{"id":"1910.14009","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-10-30T17:45:29Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"bb163c277ff17fe7eba35bec44f8e9d9ba6186c73f43a680995bba5776517c21","abstract_canon_sha256":"156b493342f17f8c86799dfd11c9ea67975ac9eee81c9f8dc8d404bbc6108de2"},"schema_version":"1.0"},"canonical_sha256":"7a336d0e4c535f72e931dfef4ef64b71a3e30baa6443c21dbd3bc751e12dd4cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:47:09.612648Z","signature_b64":"gou6wnOWYyhrxDEELgnUB8vSxADl5BJdDKPqcCqshQ5xaHlMHw3KdXUwzgQueEELnCR7jnKHm4y+y4diEslwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a336d0e4c535f72e931dfef4ef64b71a3e30baa6443c21dbd3bc751e12dd4cc","last_reissued_at":"2026-07-05T06:47:09.612160Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:47:09.612160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1910.14009","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:47:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WDKMaJIq7cRowXqMQp9jkLbAGbaKpurS99/fwrtHbt9cFVdl4fvRVR6hUtjWbz/uftpwulkXcQ3QIDdVtr7WCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T15:43:09.443867Z"},"content_sha256":"b1fef7eb39a2506fa7903d53e3ba05719a48e2b66e5bf12cc5e5d6460fcdd4d1","schema_version":"1.0","event_id":"sha256:b1fef7eb39a2506fa7903d53e3ba05719a48e2b66e5bf12cc5e5d6460fcdd4d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:PIZW2DSMKNPXF2JR37XU55SLOG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constrained Polynomial Likelihood","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"math.OC","authors_text":"Caio Almeida, Paul Schneider, Ricardo Masini","submitted_at":"2019-10-30T17:45:29Z","abstract_excerpt":"We develop a non-negative polynomial minimum-norm likelihood ratio (PLR) of two distributions of which only moments are known. The sample PLR converges to the unknown population PLR under mild conditions. The methodology allows for additional shape restrictions, as we illustrate with two empirical applications. The first develops a PLR for the unknown transition density of a jump-diffusion process, while the second extracts a positive density directly from option prices. In both cases, we show the importance of implementing the non-negativity restriction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.14009","kind":"arxiv","version":4},"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/1910.14009/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":"2026-07-05T06:47:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QuwZ4YXXcjUCBF2PQO+gg/bCheHdUdAZTYqQMW8gV5kIm077BVLVBDvTX6n92J7v5A9CnDulZFcbfaZqohqyCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T15:43:09.444246Z"},"content_sha256":"ac70bf77c90eff19167ef66d88c5d0279f97b06fc873f0818601e1007c3f26bc","schema_version":"1.0","event_id":"sha256:ac70bf77c90eff19167ef66d88c5d0279f97b06fc873f0818601e1007c3f26bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PIZW2DSMKNPXF2JR37XU55SLOG/bundle.json","state_url":"https://pith.science/pith/PIZW2DSMKNPXF2JR37XU55SLOG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PIZW2DSMKNPXF2JR37XU55SLOG/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":"2026-07-08T15:43:09Z","links":{"resolver":"https://pith.science/pith/PIZW2DSMKNPXF2JR37XU55SLOG","bundle":"https://pith.science/pith/PIZW2DSMKNPXF2JR37XU55SLOG/bundle.json","state":"https://pith.science/pith/PIZW2DSMKNPXF2JR37XU55SLOG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PIZW2DSMKNPXF2JR37XU55SLOG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PIZW2DSMKNPXF2JR37XU55SLOG","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":"156b493342f17f8c86799dfd11c9ea67975ac9eee81c9f8dc8d404bbc6108de2","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-10-30T17:45:29Z","title_canon_sha256":"bb163c277ff17fe7eba35bec44f8e9d9ba6186c73f43a680995bba5776517c21"},"schema_version":"1.0","source":{"id":"1910.14009","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.14009","created_at":"2026-07-05T06:47:09Z"},{"alias_kind":"arxiv_version","alias_value":"1910.14009v4","created_at":"2026-07-05T06:47:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.14009","created_at":"2026-07-05T06:47:09Z"},{"alias_kind":"pith_short_12","alias_value":"PIZW2DSMKNPX","created_at":"2026-07-05T06:47:09Z"},{"alias_kind":"pith_short_16","alias_value":"PIZW2DSMKNPXF2JR","created_at":"2026-07-05T06:47:09Z"},{"alias_kind":"pith_short_8","alias_value":"PIZW2DSM","created_at":"2026-07-05T06:47:09Z"}],"graph_snapshots":[{"event_id":"sha256:ac70bf77c90eff19167ef66d88c5d0279f97b06fc873f0818601e1007c3f26bc","target":"graph","created_at":"2026-07-05T06:47:09Z","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/1910.14009/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a non-negative polynomial minimum-norm likelihood ratio (PLR) of two distributions of which only moments are known. The sample PLR converges to the unknown population PLR under mild conditions. The methodology allows for additional shape restrictions, as we illustrate with two empirical applications. The first develops a PLR for the unknown transition density of a jump-diffusion process, while the second extracts a positive density directly from option prices. In both cases, we show the importance of implementing the non-negativity restriction.","authors_text":"Caio Almeida, Paul Schneider, Ricardo Masini","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-10-30T17:45:29Z","title":"Constrained Polynomial Likelihood"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.14009","kind":"arxiv","version":4},"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:b1fef7eb39a2506fa7903d53e3ba05719a48e2b66e5bf12cc5e5d6460fcdd4d1","target":"record","created_at":"2026-07-05T06:47:09Z","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":"156b493342f17f8c86799dfd11c9ea67975ac9eee81c9f8dc8d404bbc6108de2","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-10-30T17:45:29Z","title_canon_sha256":"bb163c277ff17fe7eba35bec44f8e9d9ba6186c73f43a680995bba5776517c21"},"schema_version":"1.0","source":{"id":"1910.14009","kind":"arxiv","version":4}},"canonical_sha256":"7a336d0e4c535f72e931dfef4ef64b71a3e30baa6443c21dbd3bc751e12dd4cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a336d0e4c535f72e931dfef4ef64b71a3e30baa6443c21dbd3bc751e12dd4cc","first_computed_at":"2026-07-05T06:47:09.612160Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:47:09.612160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gou6wnOWYyhrxDEELgnUB8vSxADl5BJdDKPqcCqshQ5xaHlMHw3KdXUwzgQueEELnCR7jnKHm4y+y4diEslwAg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:47:09.612648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.14009","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1fef7eb39a2506fa7903d53e3ba05719a48e2b66e5bf12cc5e5d6460fcdd4d1","sha256:ac70bf77c90eff19167ef66d88c5d0279f97b06fc873f0818601e1007c3f26bc"],"state_sha256":"261417e8ece362bf002768d5f815e8dc19703d52f3db0bda7a0811a8c34be395"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U4w42vSvZLgQ805yP2Eg7QIrParBxVKtsS8excNZBeuqfTEiGJq/8fFx3VtW9Ewf4QoliA8pbjwxX7FPqpgVAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-08T15:43:09.446859Z","bundle_sha256":"ce3813fcf87e864bc31207e314e06252517b41daccc05092e561a5a214be39b0"}}