{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:5GOX4BLTEJ3MQTWC2YPYEFBGOD","short_pith_number":"pith:5GOX4BLT","canonical_record":{"source":{"id":"1402.5282","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-02-21T12:44:37Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"0e5e966e85fba0d4b0f92259172ba2b8571936fbd939f2052b451135b3e2638a","abstract_canon_sha256":"cf12c2f87c12be7a9a7d2cddcbe377ebccdbe964394f740e16ee7256ff0f164d"},"schema_version":"1.0"},"canonical_sha256":"e99d7e05732276c84ec2d61f82142670d7eea40242fbbb65ee32cccc97f72cc5","source":{"kind":"arxiv","id":"1402.5282","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5282","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5282v1","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5282","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"pith_short_12","alias_value":"5GOX4BLTEJ3M","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5GOX4BLTEJ3MQTWC","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5GOX4BLT","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:5GOX4BLTEJ3MQTWC2YPYEFBGOD","target":"record","payload":{"canonical_record":{"source":{"id":"1402.5282","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-02-21T12:44:37Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"0e5e966e85fba0d4b0f92259172ba2b8571936fbd939f2052b451135b3e2638a","abstract_canon_sha256":"cf12c2f87c12be7a9a7d2cddcbe377ebccdbe964394f740e16ee7256ff0f164d"},"schema_version":"1.0"},"canonical_sha256":"e99d7e05732276c84ec2d61f82142670d7eea40242fbbb65ee32cccc97f72cc5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:22.654690Z","signature_b64":"IBh0ZnZbh/D3x5Cy1+jMwtafvUWvKUFf1PwfowlZ08fSF+QZLZw4J3m+tKm9VwUAhTSlmOLajzbtohAiq3aPCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e99d7e05732276c84ec2d61f82142670d7eea40242fbbb65ee32cccc97f72cc5","last_reissued_at":"2026-05-18T02:58:22.654197Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:22.654197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.5282","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":"2026-05-18T02:58:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FSiFgWew48DosMNN+NHIPBS1TcPvrOvaBk3rR9JnXNHaHAi3vxsqenH0au+HSvUkd+HUnJeab+/BHloQb1a9Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:06:22.966075Z"},"content_sha256":"bd72b7ab3e774533cc3fd0a35b2b712716173df2e22706d851c72ff8e882d77e","schema_version":"1.0","event_id":"sha256:bd72b7ab3e774533cc3fd0a35b2b712716173df2e22706d851c72ff8e882d77e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:5GOX4BLTEJ3MQTWC2YPYEFBGOD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Compound Class of Linear Failure Rate-Power Series Distributions: Model, Properties and Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME"],"primary_cat":"stat.CO","authors_text":"Ali Akbar Jafari, Eisa Mahmoudi","submitted_at":"2014-02-21T12:44:37Z","abstract_excerpt":"We introduce in this paper a new class of distributions which generalizes the linear failure rate (LFR) distribution and is obtained by compounding the LFR distribution and power series (PS) class of distributions. This new class of distributions is called the linear failure rate-power series (LFRPS) distributions and contains some new distributions such as linear failure rate geometric (LFRG) distribution, linear failure rate Poisson (LFRP) distribution, linear failure rate logarithmic (LFRL) distribution, linear failure rate binomial (LFRB) distribution and Raylight-power series (RPS) class "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5282","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":"2026-05-18T02:58:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8c54Zb3Y8sypu2LdSu+raI6ybqpfnLOoQ7WAUO70mRVMdhBoI7RyBRtXU5WGBGdcnivONqQ0i82PZJK4a/NMDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:06:22.966441Z"},"content_sha256":"41253dea01f4bcd02bb16fac216f36c713770ccd552940c44c0f103df138bf9d","schema_version":"1.0","event_id":"sha256:41253dea01f4bcd02bb16fac216f36c713770ccd552940c44c0f103df138bf9d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD/bundle.json","state_url":"https://pith.science/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD/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":"2026-06-01T14:06:22Z","links":{"resolver":"https://pith.science/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD","bundle":"https://pith.science/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD/bundle.json","state":"https://pith.science/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5GOX4BLTEJ3MQTWC2YPYEFBGOD","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":"cf12c2f87c12be7a9a7d2cddcbe377ebccdbe964394f740e16ee7256ff0f164d","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-02-21T12:44:37Z","title_canon_sha256":"0e5e966e85fba0d4b0f92259172ba2b8571936fbd939f2052b451135b3e2638a"},"schema_version":"1.0","source":{"id":"1402.5282","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5282","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5282v1","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5282","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"pith_short_12","alias_value":"5GOX4BLTEJ3M","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5GOX4BLTEJ3MQTWC","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5GOX4BLT","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:41253dea01f4bcd02bb16fac216f36c713770ccd552940c44c0f103df138bf9d","target":"graph","created_at":"2026-05-18T02:58:22Z","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":"We introduce in this paper a new class of distributions which generalizes the linear failure rate (LFR) distribution and is obtained by compounding the LFR distribution and power series (PS) class of distributions. This new class of distributions is called the linear failure rate-power series (LFRPS) distributions and contains some new distributions such as linear failure rate geometric (LFRG) distribution, linear failure rate Poisson (LFRP) distribution, linear failure rate logarithmic (LFRL) distribution, linear failure rate binomial (LFRB) distribution and Raylight-power series (RPS) class ","authors_text":"Ali Akbar Jafari, Eisa Mahmoudi","cross_cats":["stat.ME"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-02-21T12:44:37Z","title":"The Compound Class of Linear Failure Rate-Power Series Distributions: Model, Properties and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5282","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:bd72b7ab3e774533cc3fd0a35b2b712716173df2e22706d851c72ff8e882d77e","target":"record","created_at":"2026-05-18T02:58:22Z","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":"cf12c2f87c12be7a9a7d2cddcbe377ebccdbe964394f740e16ee7256ff0f164d","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-02-21T12:44:37Z","title_canon_sha256":"0e5e966e85fba0d4b0f92259172ba2b8571936fbd939f2052b451135b3e2638a"},"schema_version":"1.0","source":{"id":"1402.5282","kind":"arxiv","version":1}},"canonical_sha256":"e99d7e05732276c84ec2d61f82142670d7eea40242fbbb65ee32cccc97f72cc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e99d7e05732276c84ec2d61f82142670d7eea40242fbbb65ee32cccc97f72cc5","first_computed_at":"2026-05-18T02:58:22.654197Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:22.654197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IBh0ZnZbh/D3x5Cy1+jMwtafvUWvKUFf1PwfowlZ08fSF+QZLZw4J3m+tKm9VwUAhTSlmOLajzbtohAiq3aPCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:22.654690Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.5282","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd72b7ab3e774533cc3fd0a35b2b712716173df2e22706d851c72ff8e882d77e","sha256:41253dea01f4bcd02bb16fac216f36c713770ccd552940c44c0f103df138bf9d"],"state_sha256":"ddc33ee99f462e70acdeb368a9041539638949af8e658cbb35ac6f06b159fce1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u7U6JyESkF+yIo0v0osZ2Syy5aixnkoDuYsTputeX9JUAyMoMqBXFkjxrJ3mrRyAoIITwmyQCLqo9YVjaj9TAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T14:06:22.968948Z","bundle_sha256":"e746f81863ead46f7267c78aef2ea5f914d7cd9514493f54356703c0d7ba5b3f"}}