{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:S5ZA5RYDFOHILYRK4E6OJLAPDT","short_pith_number":"pith:S5ZA5RYD","canonical_record":{"source":{"id":"1406.3106","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"stat.AP","submitted_at":"2014-06-12T02:39:09Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"42e70397610c37c7a5680efc88c4e855357f166ac06f2919a42be7056d4f57f7","abstract_canon_sha256":"7db8ec012aec87399b8b4840cd07cc84fff24aba3794c7e502d5215bbc09e4fe"},"schema_version":"1.0"},"canonical_sha256":"97720ec7032b8e85e22ae13ce4ac0f1ccd2b0abdb542f95f4569d31e2c51e1eb","source":{"kind":"arxiv","id":"1406.3106","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3106","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3106v1","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3106","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"pith_short_12","alias_value":"S5ZA5RYDFOHI","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"S5ZA5RYDFOHILYRK","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"S5ZA5RYD","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:S5ZA5RYDFOHILYRK4E6OJLAPDT","target":"record","payload":{"canonical_record":{"source":{"id":"1406.3106","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"stat.AP","submitted_at":"2014-06-12T02:39:09Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"42e70397610c37c7a5680efc88c4e855357f166ac06f2919a42be7056d4f57f7","abstract_canon_sha256":"7db8ec012aec87399b8b4840cd07cc84fff24aba3794c7e502d5215bbc09e4fe"},"schema_version":"1.0"},"canonical_sha256":"97720ec7032b8e85e22ae13ce4ac0f1ccd2b0abdb542f95f4569d31e2c51e1eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:59.101590Z","signature_b64":"/YvHhsRh82O7Hyx61/0TsxpTpwbMBUuZHOu5mvKCjz6Hrg1PZfDJC+Tic7EIhkld3HZ23mlKJo5JVLFwC729AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97720ec7032b8e85e22ae13ce4ac0f1ccd2b0abdb542f95f4569d31e2c51e1eb","last_reissued_at":"2026-05-18T00:56:59.101061Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:59.101061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.3106","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":"2026-05-18T00:56:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i6a5FTABYTUQ7iz/fxROHshf/uRkolbokyD1MV9DLdeFyFyyD3/V5yZe+2zcax2rxlRv0QQszfIxrXNDjokEDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T02:03:14.764339Z"},"content_sha256":"8a7e24efbc8f2704891ecd783ddb7c51e707c257bb1e9b3544649272f7dbdc7f","schema_version":"1.0","event_id":"sha256:8a7e24efbc8f2704891ecd783ddb7c51e707c257bb1e9b3544649272f7dbdc7f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:S5ZA5RYDFOHILYRK4E6OJLAPDT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Lindley-Exponential Distribution: Properties and Application","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":["stat.ME"],"primary_cat":"stat.AP","authors_text":"Deepesh Bhati, Mohd. Aamir Malik","submitted_at":"2014-06-12T02:39:09Z","abstract_excerpt":"In this paper, we introduce a new distribution generated by Lindley random variable which offers a more flexible model for modelling lifetime data. Various statistical properties like distribution function, survival function, moments, entropy, and limiting distribution of extreme order statistics are established. Inference for a random sample from the proposed distribution is investigated and maximum likelihood estimation method is used for estimating parameters of this distribution. The applicability of the proposed distribution is shown through real data sets."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3106","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":"2026-05-18T00:56:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nid8wLOlq/QjeApqzoq2foELDPowVOvdiF0Cu2BhAemKCTBEZSXdOADz6z8zO4P7m0B0wPdyq6txIi44AbwYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T02:03:14.764681Z"},"content_sha256":"7a3516fbfc28c311c4053189ad4766f9d253b246d35e583cf92d08d99dc5754e","schema_version":"1.0","event_id":"sha256:7a3516fbfc28c311c4053189ad4766f9d253b246d35e583cf92d08d99dc5754e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S5ZA5RYDFOHILYRK4E6OJLAPDT/bundle.json","state_url":"https://pith.science/pith/S5ZA5RYDFOHILYRK4E6OJLAPDT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S5ZA5RYDFOHILYRK4E6OJLAPDT/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":"2026-06-29T02:03:14Z","links":{"resolver":"https://pith.science/pith/S5ZA5RYDFOHILYRK4E6OJLAPDT","bundle":"https://pith.science/pith/S5ZA5RYDFOHILYRK4E6OJLAPDT/bundle.json","state":"https://pith.science/pith/S5ZA5RYDFOHILYRK4E6OJLAPDT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S5ZA5RYDFOHILYRK4E6OJLAPDT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:S5ZA5RYDFOHILYRK4E6OJLAPDT","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":"7db8ec012aec87399b8b4840cd07cc84fff24aba3794c7e502d5215bbc09e4fe","cross_cats_sorted":["stat.ME"],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"stat.AP","submitted_at":"2014-06-12T02:39:09Z","title_canon_sha256":"42e70397610c37c7a5680efc88c4e855357f166ac06f2919a42be7056d4f57f7"},"schema_version":"1.0","source":{"id":"1406.3106","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3106","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3106v1","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3106","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"pith_short_12","alias_value":"S5ZA5RYDFOHI","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"S5ZA5RYDFOHILYRK","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"S5ZA5RYD","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:7a3516fbfc28c311c4053189ad4766f9d253b246d35e583cf92d08d99dc5754e","target":"graph","created_at":"2026-05-18T00:56:59Z","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 this paper, we introduce a new distribution generated by Lindley random variable which offers a more flexible model for modelling lifetime data. Various statistical properties like distribution function, survival function, moments, entropy, and limiting distribution of extreme order statistics are established. Inference for a random sample from the proposed distribution is investigated and maximum likelihood estimation method is used for estimating parameters of this distribution. The applicability of the proposed distribution is shown through real data sets.","authors_text":"Deepesh Bhati, Mohd. Aamir Malik","cross_cats":["stat.ME"],"headline":"","license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"stat.AP","submitted_at":"2014-06-12T02:39:09Z","title":"On Lindley-Exponential Distribution: Properties and Application"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3106","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":"sha256:8a7e24efbc8f2704891ecd783ddb7c51e707c257bb1e9b3544649272f7dbdc7f","target":"record","created_at":"2026-05-18T00:56:59Z","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":"7db8ec012aec87399b8b4840cd07cc84fff24aba3794c7e502d5215bbc09e4fe","cross_cats_sorted":["stat.ME"],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"stat.AP","submitted_at":"2014-06-12T02:39:09Z","title_canon_sha256":"42e70397610c37c7a5680efc88c4e855357f166ac06f2919a42be7056d4f57f7"},"schema_version":"1.0","source":{"id":"1406.3106","kind":"arxiv","version":1}},"canonical_sha256":"97720ec7032b8e85e22ae13ce4ac0f1ccd2b0abdb542f95f4569d31e2c51e1eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97720ec7032b8e85e22ae13ce4ac0f1ccd2b0abdb542f95f4569d31e2c51e1eb","first_computed_at":"2026-05-18T00:56:59.101061Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:59.101061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/YvHhsRh82O7Hyx61/0TsxpTpwbMBUuZHOu5mvKCjz6Hrg1PZfDJC+Tic7EIhkld3HZ23mlKJo5JVLFwC729AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:59.101590Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.3106","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a7e24efbc8f2704891ecd783ddb7c51e707c257bb1e9b3544649272f7dbdc7f","sha256:7a3516fbfc28c311c4053189ad4766f9d253b246d35e583cf92d08d99dc5754e"],"state_sha256":"1b88596d890b76b1c85efa69fe5eda0856340cc9540b0cf15dd458278a6d4040"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j5QWS+tEjHLDJIkohmEh7HWK+DUwWhYL7zo+VXLvWHnSb/++08DGEYB9jPnMPCkkSaVxD/D2o5YijF2RpaHmAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T02:03:14.766510Z","bundle_sha256":"51063bda11cbc232d3ebd33102212631488ba2f245dd8940fd38f9f314a2ad35"}}