{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:BQ5R3AYIVY65LXGNCLN5M7V6F6","short_pith_number":"pith:BQ5R3AYI","canonical_record":{"source":{"id":"1609.00339","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-09-01T18:29:34Z","cross_cats_sorted":[],"title_canon_sha256":"0d3c2df406274cbf5cb578baccd4c0af9d52a7c513390bbcc92db19557bc8c9d","abstract_canon_sha256":"b7c4df7427c8a5c404b417048a4c92e154073aa67561b944d5152faa6b63b557"},"schema_version":"1.0"},"canonical_sha256":"0c3b1d8308ae3dd5dccd12dbd67ebe2fa0acc991937b32cd04de76cefb2fc5ee","source":{"kind":"arxiv","id":"1609.00339","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.00339","created_at":"2026-05-18T00:29:46Z"},{"alias_kind":"arxiv_version","alias_value":"1609.00339v2","created_at":"2026-05-18T00:29:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.00339","created_at":"2026-05-18T00:29:46Z"},{"alias_kind":"pith_short_12","alias_value":"BQ5R3AYIVY65","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BQ5R3AYIVY65LXGN","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BQ5R3AYI","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:BQ5R3AYIVY65LXGNCLN5M7V6F6","target":"record","payload":{"canonical_record":{"source":{"id":"1609.00339","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-09-01T18:29:34Z","cross_cats_sorted":[],"title_canon_sha256":"0d3c2df406274cbf5cb578baccd4c0af9d52a7c513390bbcc92db19557bc8c9d","abstract_canon_sha256":"b7c4df7427c8a5c404b417048a4c92e154073aa67561b944d5152faa6b63b557"},"schema_version":"1.0"},"canonical_sha256":"0c3b1d8308ae3dd5dccd12dbd67ebe2fa0acc991937b32cd04de76cefb2fc5ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:46.837100Z","signature_b64":"/zKk3659houSeN0VckCKDsrQPSv9sysvQmIjhZ2uLReDza3mpWs2rVwy/uOOSmUZhQdxBCBHgqSC2P/K5DVNDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c3b1d8308ae3dd5dccd12dbd67ebe2fa0acc991937b32cd04de76cefb2fc5ee","last_reissued_at":"2026-05-18T00:29:46.836530Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:46.836530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.00339","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I5fiMiDtFoKe+EPYkDuFRLSQ/RSn6HReEaZP7bYfBVQ51mzVJ9YogEAt7bre+BFBlST24OKJA3uNIs47n7T2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:37:03.980556Z"},"content_sha256":"63855b36aea8826a47c1731828ea36d25f004bc1c39ea5c386406396d483ed41","schema_version":"1.0","event_id":"sha256:63855b36aea8826a47c1731828ea36d25f004bc1c39ea5c386406396d483ed41"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:BQ5R3AYIVY65LXGNCLN5M7V6F6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inference in a bimodal Birnbaum-Saunders model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Francisco Cribari-Neto, Rodney Fonseca","submitted_at":"2016-09-01T18:29:34Z","abstract_excerpt":"We address the issue of performing inference on the parameters that index a bimodal extension of the Birnbaum-Saunders distribution (BS). We show that maximum likelihood point estimation can be problematic since the standard nonlinear optimization algorithms may fail to converge. To deal with this problem, we penalize the log-likelihood function. The numerical evidence we present show that maximum likelihood estimation based on such penalized function is made considerably more reliable. We also consider hypothesis testing inference based on the penalized log-likelihood function. In particular,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.00339","kind":"arxiv","version":2},"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":"2026-05-18T00:29:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I761bRsWT4LUIXExOFjqavJ+UfKL6k8SWtbvDpzGUDNmdPqJiJetsno5ucFbn14aFnmJ7NxMOTtwQ3IZOZcVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:37:03.980888Z"},"content_sha256":"a62bb05df2d809320065974578884118134322d7b882bef18eea35706878f0ac","schema_version":"1.0","event_id":"sha256:a62bb05df2d809320065974578884118134322d7b882bef18eea35706878f0ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BQ5R3AYIVY65LXGNCLN5M7V6F6/bundle.json","state_url":"https://pith.science/pith/BQ5R3AYIVY65LXGNCLN5M7V6F6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BQ5R3AYIVY65LXGNCLN5M7V6F6/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":"2026-06-02T04:37:03Z","links":{"resolver":"https://pith.science/pith/BQ5R3AYIVY65LXGNCLN5M7V6F6","bundle":"https://pith.science/pith/BQ5R3AYIVY65LXGNCLN5M7V6F6/bundle.json","state":"https://pith.science/pith/BQ5R3AYIVY65LXGNCLN5M7V6F6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BQ5R3AYIVY65LXGNCLN5M7V6F6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BQ5R3AYIVY65LXGNCLN5M7V6F6","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":"b7c4df7427c8a5c404b417048a4c92e154073aa67561b944d5152faa6b63b557","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-09-01T18:29:34Z","title_canon_sha256":"0d3c2df406274cbf5cb578baccd4c0af9d52a7c513390bbcc92db19557bc8c9d"},"schema_version":"1.0","source":{"id":"1609.00339","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.00339","created_at":"2026-05-18T00:29:46Z"},{"alias_kind":"arxiv_version","alias_value":"1609.00339v2","created_at":"2026-05-18T00:29:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.00339","created_at":"2026-05-18T00:29:46Z"},{"alias_kind":"pith_short_12","alias_value":"BQ5R3AYIVY65","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BQ5R3AYIVY65LXGN","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BQ5R3AYI","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:a62bb05df2d809320065974578884118134322d7b882bef18eea35706878f0ac","target":"graph","created_at":"2026-05-18T00:29:46Z","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 address the issue of performing inference on the parameters that index a bimodal extension of the Birnbaum-Saunders distribution (BS). We show that maximum likelihood point estimation can be problematic since the standard nonlinear optimization algorithms may fail to converge. To deal with this problem, we penalize the log-likelihood function. The numerical evidence we present show that maximum likelihood estimation based on such penalized function is made considerably more reliable. We also consider hypothesis testing inference based on the penalized log-likelihood function. In particular,","authors_text":"Francisco Cribari-Neto, Rodney Fonseca","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-09-01T18:29:34Z","title":"Inference in a bimodal Birnbaum-Saunders model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.00339","kind":"arxiv","version":2},"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":"sha256:63855b36aea8826a47c1731828ea36d25f004bc1c39ea5c386406396d483ed41","target":"record","created_at":"2026-05-18T00:29:46Z","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":"b7c4df7427c8a5c404b417048a4c92e154073aa67561b944d5152faa6b63b557","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-09-01T18:29:34Z","title_canon_sha256":"0d3c2df406274cbf5cb578baccd4c0af9d52a7c513390bbcc92db19557bc8c9d"},"schema_version":"1.0","source":{"id":"1609.00339","kind":"arxiv","version":2}},"canonical_sha256":"0c3b1d8308ae3dd5dccd12dbd67ebe2fa0acc991937b32cd04de76cefb2fc5ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c3b1d8308ae3dd5dccd12dbd67ebe2fa0acc991937b32cd04de76cefb2fc5ee","first_computed_at":"2026-05-18T00:29:46.836530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:46.836530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/zKk3659houSeN0VckCKDsrQPSv9sysvQmIjhZ2uLReDza3mpWs2rVwy/uOOSmUZhQdxBCBHgqSC2P/K5DVNDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:46.837100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.00339","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63855b36aea8826a47c1731828ea36d25f004bc1c39ea5c386406396d483ed41","sha256:a62bb05df2d809320065974578884118134322d7b882bef18eea35706878f0ac"],"state_sha256":"edc94b9cb45de5141c693e06115a672728388f307964cd67e6cbf2f83858c0b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HUkU/Xqg4RGNlotb4mXUxpld1KDc+6+b7RDMW5svgQqSS1U+c1fJjYdp6HRJRWazeCZGGBqDSdszWR/o9gHkCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:37:03.982655Z","bundle_sha256":"91029519c7f9314a3b95ac9ec240f7105fd7bc260f988794e3068e9d36e75fd9"}}