{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IL5IQYIUJS2TDSWVXBH7VRHDZP","short_pith_number":"pith:IL5IQYIU","canonical_record":{"source":{"id":"1701.05452","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2017-01-19T15:00:55Z","cross_cats_sorted":[],"title_canon_sha256":"a27a43aa4b8e97e5c0c9ab10d6c03703fb7a0cea51473b1634de2d2c636c2929","abstract_canon_sha256":"df069da7eeedcf2b969c7bdd44cfbd63779316c7d9f2f71924caa4b58bf63c27"},"schema_version":"1.0"},"canonical_sha256":"42fa8861144cb531cad5b84ffac4e3cbe5a1f0108277f7278af71b8a811c3f3e","source":{"kind":"arxiv","id":"1701.05452","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05452","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05452v1","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05452","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"pith_short_12","alias_value":"IL5IQYIUJS2T","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IL5IQYIUJS2TDSWV","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IL5IQYIU","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IL5IQYIUJS2TDSWVXBH7VRHDZP","target":"record","payload":{"canonical_record":{"source":{"id":"1701.05452","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2017-01-19T15:00:55Z","cross_cats_sorted":[],"title_canon_sha256":"a27a43aa4b8e97e5c0c9ab10d6c03703fb7a0cea51473b1634de2d2c636c2929","abstract_canon_sha256":"df069da7eeedcf2b969c7bdd44cfbd63779316c7d9f2f71924caa4b58bf63c27"},"schema_version":"1.0"},"canonical_sha256":"42fa8861144cb531cad5b84ffac4e3cbe5a1f0108277f7278af71b8a811c3f3e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:29.834402Z","signature_b64":"VxZFJzptQlyMMjdWsVw2FwkSk45DmAMrQjNQ9VW51KMMSG0sRsIJShgXt5jK7Hn+13s4GP7BfCIk4XZstSFMCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42fa8861144cb531cad5b84ffac4e3cbe5a1f0108277f7278af71b8a811c3f3e","last_reissued_at":"2026-05-18T00:52:29.833897Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:29.833897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.05452","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":"2026-05-18T00:52:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rfJmqcFc5/XBqQlhJ/TUbp5aW41Bhmln2zJ0szp/0s1Cf5IQT3gW5+DW+ECQK226NGE294ZpQ4sDEo8TqtctDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T20:35:44.890217Z"},"content_sha256":"c15dd4ea7bef474a4e26672d5e50450502f71b8855cd249cf8a525556d7cf91c","schema_version":"1.0","event_id":"sha256:c15dd4ea7bef474a4e26672d5e50450502f71b8855cd249cf8a525556d7cf91c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IL5IQYIUJS2TDSWVXBH7VRHDZP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A k-Inflated Negative Binomial Mixture Regression Model: Application to Rate--Making Systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Amir T. Payandeh Najafabadi, Saeed MohammadPour","submitted_at":"2017-01-19T15:00:55Z","abstract_excerpt":"This article introduces a k-Inflated Negative Binomial mixture distribution/regression model as a more flexible alternative to zero-inflated Poisson distribution/regression model. An EM algorithm has been employed to estimate the model's parameters. Then, such new model along with a Pareto mixture model have been employed to design an optimal rate--making system. Namely, this article employs number/size of reported claims of Iranian third party insurance dataset. Then, it employs the k-Inflated Negative Binomial mixture distribution/regression model as well as other well developed counting mod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05452","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":"2026-05-18T00:52:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JrIE3PK70p7TFI1FIkBKtUoC0S6pZWhwpUMITyi5qpgxRPgSqpC0UTqVrirtpXAb0JURv9TAJlutgdVK2KS3Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T20:35:44.890585Z"},"content_sha256":"43ce92203c433046a4e57096b4f8353b962e115d93009766e476dc3469755091","schema_version":"1.0","event_id":"sha256:43ce92203c433046a4e57096b4f8353b962e115d93009766e476dc3469755091"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IL5IQYIUJS2TDSWVXBH7VRHDZP/bundle.json","state_url":"https://pith.science/pith/IL5IQYIUJS2TDSWVXBH7VRHDZP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IL5IQYIUJS2TDSWVXBH7VRHDZP/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":"2026-06-22T20:35:44Z","links":{"resolver":"https://pith.science/pith/IL5IQYIUJS2TDSWVXBH7VRHDZP","bundle":"https://pith.science/pith/IL5IQYIUJS2TDSWVXBH7VRHDZP/bundle.json","state":"https://pith.science/pith/IL5IQYIUJS2TDSWVXBH7VRHDZP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IL5IQYIUJS2TDSWVXBH7VRHDZP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IL5IQYIUJS2TDSWVXBH7VRHDZP","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":"df069da7eeedcf2b969c7bdd44cfbd63779316c7d9f2f71924caa4b58bf63c27","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2017-01-19T15:00:55Z","title_canon_sha256":"a27a43aa4b8e97e5c0c9ab10d6c03703fb7a0cea51473b1634de2d2c636c2929"},"schema_version":"1.0","source":{"id":"1701.05452","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05452","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05452v1","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05452","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"pith_short_12","alias_value":"IL5IQYIUJS2T","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IL5IQYIUJS2TDSWV","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IL5IQYIU","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:43ce92203c433046a4e57096b4f8353b962e115d93009766e476dc3469755091","target":"graph","created_at":"2026-05-18T00:52:29Z","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":"This article introduces a k-Inflated Negative Binomial mixture distribution/regression model as a more flexible alternative to zero-inflated Poisson distribution/regression model. An EM algorithm has been employed to estimate the model's parameters. Then, such new model along with a Pareto mixture model have been employed to design an optimal rate--making system. Namely, this article employs number/size of reported claims of Iranian third party insurance dataset. Then, it employs the k-Inflated Negative Binomial mixture distribution/regression model as well as other well developed counting mod","authors_text":"Amir T. Payandeh Najafabadi, Saeed MohammadPour","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2017-01-19T15:00:55Z","title":"A k-Inflated Negative Binomial Mixture Regression Model: Application to Rate--Making Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05452","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:c15dd4ea7bef474a4e26672d5e50450502f71b8855cd249cf8a525556d7cf91c","target":"record","created_at":"2026-05-18T00:52:29Z","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":"df069da7eeedcf2b969c7bdd44cfbd63779316c7d9f2f71924caa4b58bf63c27","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2017-01-19T15:00:55Z","title_canon_sha256":"a27a43aa4b8e97e5c0c9ab10d6c03703fb7a0cea51473b1634de2d2c636c2929"},"schema_version":"1.0","source":{"id":"1701.05452","kind":"arxiv","version":1}},"canonical_sha256":"42fa8861144cb531cad5b84ffac4e3cbe5a1f0108277f7278af71b8a811c3f3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42fa8861144cb531cad5b84ffac4e3cbe5a1f0108277f7278af71b8a811c3f3e","first_computed_at":"2026-05-18T00:52:29.833897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:29.833897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VxZFJzptQlyMMjdWsVw2FwkSk45DmAMrQjNQ9VW51KMMSG0sRsIJShgXt5jK7Hn+13s4GP7BfCIk4XZstSFMCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:29.834402Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05452","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c15dd4ea7bef474a4e26672d5e50450502f71b8855cd249cf8a525556d7cf91c","sha256:43ce92203c433046a4e57096b4f8353b962e115d93009766e476dc3469755091"],"state_sha256":"aab27644f43f8360eb566ae3532d8fb304203c5c491953618413d4b27e8f8342"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nOSww1txj8ybNIpC6GCCYpezmKV5n8WJPx395Wa0yrP5TlseEvxg/pijhH1xo+iNshzaM4Kii3vjGvxxKJ+4Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T20:35:44.892480Z","bundle_sha256":"49559f4f7532b135c6bf142577600b35ead0103fae7a0599051eec0335cea5af"}}