{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WSOYW2AHMJVL533WJC44DEBAC6","short_pith_number":"pith:WSOYW2AH","canonical_record":{"source":{"id":"1708.00476","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-08-01T19:01:46Z","cross_cats_sorted":[],"title_canon_sha256":"1ab5a83cd6ce26c1d7c83e6548de6ef378e80a32909067f3d6c17c3d0fd093ab","abstract_canon_sha256":"ac26f761480e7c08ef35aedf700b6bdf7fb4131c3e1e6a198a1893221bbd88e0"},"schema_version":"1.0"},"canonical_sha256":"b49d8b6807626abeef7648b9c1902017ab82c0c8757933fd2913cd8a2f0661e1","source":{"kind":"arxiv","id":"1708.00476","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.00476","created_at":"2026-05-18T00:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"1708.00476v1","created_at":"2026-05-18T00:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.00476","created_at":"2026-05-18T00:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"WSOYW2AHMJVL","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WSOYW2AHMJVL533W","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WSOYW2AH","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WSOYW2AHMJVL533WJC44DEBAC6","target":"record","payload":{"canonical_record":{"source":{"id":"1708.00476","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-08-01T19:01:46Z","cross_cats_sorted":[],"title_canon_sha256":"1ab5a83cd6ce26c1d7c83e6548de6ef378e80a32909067f3d6c17c3d0fd093ab","abstract_canon_sha256":"ac26f761480e7c08ef35aedf700b6bdf7fb4131c3e1e6a198a1893221bbd88e0"},"schema_version":"1.0"},"canonical_sha256":"b49d8b6807626abeef7648b9c1902017ab82c0c8757933fd2913cd8a2f0661e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:45.651645Z","signature_b64":"p8WbNTTnLHF57bydCOfhBmO7LS/kaYUtT51oL61UOinn1WykA8VS2TpMLxr7qHf8uJdE16rdEPVyxa4yEdscCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b49d8b6807626abeef7648b9c1902017ab82c0c8757933fd2913cd8a2f0661e1","last_reissued_at":"2026-05-18T00:38:45.651178Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:45.651178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.00476","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":"2026-05-18T00:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jxq3uzDH4TxyMzVtk4Wiep75G34KvI5twBqg6NKpR008pPs5sU6hMhuysOCoFYC42B+QZqHeT14+1PM5poluCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:31:17.502440Z"},"content_sha256":"436af4d623db1d8bbbcaf050c0218005f624d5e2540496db839da27fe04ae100","schema_version":"1.0","event_id":"sha256:436af4d623db1d8bbbcaf050c0218005f624d5e2540496db839da27fe04ae100"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WSOYW2AHMJVL533WJC44DEBAC6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite Mixture of Birnbaum-Saunders distributions using the $k$ bumps algorithm","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Fernando Marmolejo-Ramos, Filidor Vilca, Luis Benites, Roc\\'io Maehara","submitted_at":"2017-08-01T19:01:46Z","abstract_excerpt":"Mixture models have received a great deal of attention in statistics due to the wide range of applications found in recent years. This paper discusses a finite mixture model of Birnbaum- Saunders distributions with G components, as an important supplement of the work developed by Balakrishnan et al. (2011), who only considered two components. Our proposal enables the modeling of proper multimodal scenarios with greater flexibility, where the identifiability of the model with G components is proven and an EM-algorithm for the maximum likelihood (ML) estimation of the mixture parameters is devel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.00476","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":"2026-05-18T00:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8L7iKtbMfyErJ/rw4wDt4yEKQBlvu6/Yw0soNbfVU2tEdHmtcN6kcf/sF5EMTvt02s00rsYs7YynhcaFiblrDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:31:17.502786Z"},"content_sha256":"552e409357ff0a7141a801e1ef605563f82ad12bd585b6a433e237999fdfb0bb","schema_version":"1.0","event_id":"sha256:552e409357ff0a7141a801e1ef605563f82ad12bd585b6a433e237999fdfb0bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WSOYW2AHMJVL533WJC44DEBAC6/bundle.json","state_url":"https://pith.science/pith/WSOYW2AHMJVL533WJC44DEBAC6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WSOYW2AHMJVL533WJC44DEBAC6/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":"2026-06-08T23:31:17Z","links":{"resolver":"https://pith.science/pith/WSOYW2AHMJVL533WJC44DEBAC6","bundle":"https://pith.science/pith/WSOYW2AHMJVL533WJC44DEBAC6/bundle.json","state":"https://pith.science/pith/WSOYW2AHMJVL533WJC44DEBAC6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WSOYW2AHMJVL533WJC44DEBAC6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WSOYW2AHMJVL533WJC44DEBAC6","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":"ac26f761480e7c08ef35aedf700b6bdf7fb4131c3e1e6a198a1893221bbd88e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-08-01T19:01:46Z","title_canon_sha256":"1ab5a83cd6ce26c1d7c83e6548de6ef378e80a32909067f3d6c17c3d0fd093ab"},"schema_version":"1.0","source":{"id":"1708.00476","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.00476","created_at":"2026-05-18T00:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"1708.00476v1","created_at":"2026-05-18T00:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.00476","created_at":"2026-05-18T00:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"WSOYW2AHMJVL","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WSOYW2AHMJVL533W","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WSOYW2AH","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:552e409357ff0a7141a801e1ef605563f82ad12bd585b6a433e237999fdfb0bb","target":"graph","created_at":"2026-05-18T00:38:45Z","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":"Mixture models have received a great deal of attention in statistics due to the wide range of applications found in recent years. This paper discusses a finite mixture model of Birnbaum- Saunders distributions with G components, as an important supplement of the work developed by Balakrishnan et al. (2011), who only considered two components. Our proposal enables the modeling of proper multimodal scenarios with greater flexibility, where the identifiability of the model with G components is proven and an EM-algorithm for the maximum likelihood (ML) estimation of the mixture parameters is devel","authors_text":"Fernando Marmolejo-Ramos, Filidor Vilca, Luis Benites, Roc\\'io Maehara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-08-01T19:01:46Z","title":"Finite Mixture of Birnbaum-Saunders distributions using the $k$ bumps algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.00476","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":"sha256:436af4d623db1d8bbbcaf050c0218005f624d5e2540496db839da27fe04ae100","target":"record","created_at":"2026-05-18T00:38:45Z","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":"ac26f761480e7c08ef35aedf700b6bdf7fb4131c3e1e6a198a1893221bbd88e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-08-01T19:01:46Z","title_canon_sha256":"1ab5a83cd6ce26c1d7c83e6548de6ef378e80a32909067f3d6c17c3d0fd093ab"},"schema_version":"1.0","source":{"id":"1708.00476","kind":"arxiv","version":1}},"canonical_sha256":"b49d8b6807626abeef7648b9c1902017ab82c0c8757933fd2913cd8a2f0661e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b49d8b6807626abeef7648b9c1902017ab82c0c8757933fd2913cd8a2f0661e1","first_computed_at":"2026-05-18T00:38:45.651178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:45.651178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p8WbNTTnLHF57bydCOfhBmO7LS/kaYUtT51oL61UOinn1WykA8VS2TpMLxr7qHf8uJdE16rdEPVyxa4yEdscCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:45.651645Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.00476","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:436af4d623db1d8bbbcaf050c0218005f624d5e2540496db839da27fe04ae100","sha256:552e409357ff0a7141a801e1ef605563f82ad12bd585b6a433e237999fdfb0bb"],"state_sha256":"becc5ba0fc7fc2afcec09e7618ab42684c32a474a61034064be8f04bbdfd26a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6qynhBxSnqMkwYMXY9uJ/7Hco0AISFU2TSXkI9xqmyEwAB6My3D6sE4U9iPuXgXivce6MstFT++jkuIxlmEPAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:31:17.504704Z","bundle_sha256":"6e3682409b9d9c52def05bca659bb29076012ffdf6047af1e9457dc51ee39ef2"}}