{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:REVIZMACXQKZJZQTJ7THDS4TNA","short_pith_number":"pith:REVIZMAC","schema_version":"1.0","canonical_sha256":"892a8cb002bc1594e6134fe671cb93682d26dd04326f38855b0dedf72dce8a3e","source":{"kind":"arxiv","id":"2606.28015","version":1},"attestation_state":"computed","paper":{"title":"Bayesian Simultaneous Credible Bands for Polynomial Regression","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Fei Yang, Ian Hall, Wei Liu, Yang Han","submitted_at":"2026-06-26T12:16:37Z","abstract_excerpt":"Quantifying efficacy uncertainty across the entire dose range is crucial in dose-response studies. Although the frequentist simultaneous confidence band (FSCB) is widely used for this purpose, it does not readily incorporate prior knowledge. The Bayesian simultaneous credible band (BSCB) offers a natural alternative, yet practical methods for constructing BSCBs remain scarce in the literature. In this paper, we propose a unified framework for constructing a BSCB for the regression curve in a univariate polynomial model over a finite covariate interval. An efficient simulation-based procedure i"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.28015","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-26T12:16:37Z","cross_cats_sorted":[],"title_canon_sha256":"6902835f8d2bba7b706689572312315c95668d623f7b2a6b2570162e394a6900","abstract_canon_sha256":"7993ede3daf473f03d11eea5bfb58c6c6686c0768457b4ac7fac87175b063c9b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-29T01:14:55.216198Z","signature_b64":"UyJCxye1Ri7kydEsx+idY82fqNois56oHQumM7PRlhdk5M6X+GcO8GZL2Ir4Gk1tKJ4pGltVhTtGFnkSBmBfCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"892a8cb002bc1594e6134fe671cb93682d26dd04326f38855b0dedf72dce8a3e","last_reissued_at":"2026-06-29T01:14:55.215674Z","signature_status":"signed_v1","first_computed_at":"2026-06-29T01:14:55.215674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bayesian Simultaneous Credible Bands for Polynomial Regression","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Fei Yang, Ian Hall, Wei Liu, Yang Han","submitted_at":"2026-06-26T12:16:37Z","abstract_excerpt":"Quantifying efficacy uncertainty across the entire dose range is crucial in dose-response studies. Although the frequentist simultaneous confidence band (FSCB) is widely used for this purpose, it does not readily incorporate prior knowledge. The Bayesian simultaneous credible band (BSCB) offers a natural alternative, yet practical methods for constructing BSCBs remain scarce in the literature. In this paper, we propose a unified framework for constructing a BSCB for the regression curve in a univariate polynomial model over a finite covariate interval. An efficient simulation-based procedure i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.28015","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.28015/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.28015","created_at":"2026-06-29T01:14:55.215725+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.28015v1","created_at":"2026-06-29T01:14:55.215725+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.28015","created_at":"2026-06-29T01:14:55.215725+00:00"},{"alias_kind":"pith_short_12","alias_value":"REVIZMACXQKZ","created_at":"2026-06-29T01:14:55.215725+00:00"},{"alias_kind":"pith_short_16","alias_value":"REVIZMACXQKZJZQT","created_at":"2026-06-29T01:14:55.215725+00:00"},{"alias_kind":"pith_short_8","alias_value":"REVIZMAC","created_at":"2026-06-29T01:14:55.215725+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/REVIZMACXQKZJZQTJ7THDS4TNA","json":"https://pith.science/pith/REVIZMACXQKZJZQTJ7THDS4TNA.json","graph_json":"https://pith.science/api/pith-number/REVIZMACXQKZJZQTJ7THDS4TNA/graph.json","events_json":"https://pith.science/api/pith-number/REVIZMACXQKZJZQTJ7THDS4TNA/events.json","paper":"https://pith.science/paper/REVIZMAC"},"agent_actions":{"view_html":"https://pith.science/pith/REVIZMACXQKZJZQTJ7THDS4TNA","download_json":"https://pith.science/pith/REVIZMACXQKZJZQTJ7THDS4TNA.json","view_paper":"https://pith.science/paper/REVIZMAC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.28015&json=true","fetch_graph":"https://pith.science/api/pith-number/REVIZMACXQKZJZQTJ7THDS4TNA/graph.json","fetch_events":"https://pith.science/api/pith-number/REVIZMACXQKZJZQTJ7THDS4TNA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/REVIZMACXQKZJZQTJ7THDS4TNA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/REVIZMACXQKZJZQTJ7THDS4TNA/action/storage_attestation","attest_author":"https://pith.science/pith/REVIZMACXQKZJZQTJ7THDS4TNA/action/author_attestation","sign_citation":"https://pith.science/pith/REVIZMACXQKZJZQTJ7THDS4TNA/action/citation_signature","submit_replication":"https://pith.science/pith/REVIZMACXQKZJZQTJ7THDS4TNA/action/replication_record"}},"created_at":"2026-06-29T01:14:55.215725+00:00","updated_at":"2026-06-29T01:14:55.215725+00:00"}