{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:E4OIGKJLCRTGFHI4XLOX5ENXJU","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":"326bc8c9dfb044d394c53ca059ebee976ba52dc1a3cf4e607154bbab26e11a7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2020-11-16T07:09:46Z","title_canon_sha256":"f26a9c39b4c01657980f43c2510575232d12601435c9928b2189264c40f8e04c"},"schema_version":"1.0","source":{"id":"2011.07753","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.07753","created_at":"2026-07-05T01:51:53Z"},{"alias_kind":"arxiv_version","alias_value":"2011.07753v1","created_at":"2026-07-05T01:51:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.07753","created_at":"2026-07-05T01:51:53Z"},{"alias_kind":"pith_short_12","alias_value":"E4OIGKJLCRTG","created_at":"2026-07-05T01:51:53Z"},{"alias_kind":"pith_short_16","alias_value":"E4OIGKJLCRTGFHI4","created_at":"2026-07-05T01:51:53Z"},{"alias_kind":"pith_short_8","alias_value":"E4OIGKJL","created_at":"2026-07-05T01:51:53Z"}],"graph_snapshots":[{"event_id":"sha256:c5a02b59209dfed7e3144843a748903f338709adfaaf184568b05b1bd594a39a","target":"graph","created_at":"2026-07-05T01:51:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2011.07753/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The smooth piecewise-linear models cover a wide range of applications nowadays. Basically, there are two classes of them: models are transitional or hyperbolic according to their behaviour at the phase-transition zones. This study explored three different approaches to build smooth piecewise-linear models, and we analysed their inter-relationships by a unifying modelling framework. We conceived the smoothed phase-transition zones as domains where a mixture process takes place, which ensured probabilistic interpretations for both hyperbolic and transitional models in the light of random thresho","authors_text":"Ferreira, Iuri Emmanuel de Paula, Silvio Sandoval, Zocchi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2020-11-16T07:09:46Z","title":"A family of smooth piecewise-linear models with probabilistic interpretations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.07753","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":"sha256:283592c2650f730e1fed4c91b5ac0d88ceac75a666586611301d22177fe9e75c","target":"record","created_at":"2026-07-05T01:51:53Z","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":"326bc8c9dfb044d394c53ca059ebee976ba52dc1a3cf4e607154bbab26e11a7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2020-11-16T07:09:46Z","title_canon_sha256":"f26a9c39b4c01657980f43c2510575232d12601435c9928b2189264c40f8e04c"},"schema_version":"1.0","source":{"id":"2011.07753","kind":"arxiv","version":1}},"canonical_sha256":"271c83292b1466629d1cbadd7e91b74d1db04057f494054b648d099efa9727e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"271c83292b1466629d1cbadd7e91b74d1db04057f494054b648d099efa9727e1","first_computed_at":"2026-07-05T01:51:53.702439Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:51:53.702439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tmk4mChLMWck7lAt//9oqTD7h3La7GzeAnRoGtXLpJrjoiV+dDm1FxJ55RQoGvR9Xb1s49ICnutydEHeqRGDAA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:51:53.702881Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.07753","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:283592c2650f730e1fed4c91b5ac0d88ceac75a666586611301d22177fe9e75c","sha256:c5a02b59209dfed7e3144843a748903f338709adfaaf184568b05b1bd594a39a"],"state_sha256":"0540088902ec7cc43bd753a05111d7e52a400802cc51ecf78281bfb8b8e080c3"}