{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:DLAJFFOS5AYSBSGIP5H6ZIZZ5Q","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":"5bbcde479913d2390e58d393ba19172355738d2dee0f5b77dd82d9ada68fde14","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-20T22:22:20Z","title_canon_sha256":"394950c8cf713a3588b9769c445bb5011d1868142d50e41de5cd518f753d8cc4"},"schema_version":"1.0","source":{"id":"2605.21783","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21783","created_at":"2026-05-22T01:03:32Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21783v1","created_at":"2026-05-22T01:03:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21783","created_at":"2026-05-22T01:03:32Z"},{"alias_kind":"pith_short_12","alias_value":"DLAJFFOS5AYS","created_at":"2026-05-22T01:03:32Z"},{"alias_kind":"pith_short_16","alias_value":"DLAJFFOS5AYSBSGI","created_at":"2026-05-22T01:03:32Z"},{"alias_kind":"pith_short_8","alias_value":"DLAJFFOS","created_at":"2026-05-22T01:03:32Z"}],"graph_snapshots":[{"event_id":"sha256:b669f6766f847f599bb8949ab952d1378c0b70a49ae948e90f8117100ce1bf57","target":"graph","created_at":"2026-05-22T01:03:32Z","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/2605.21783/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Test-time adaptation (TTA) methods improve model performance under distribution shift but lack formal guarantees connecting shift magnitude to prediction reliability. We develop a PAC-Bayesian framework yielding generalization bounds explicitly parameterized by the maximum mean discrepancy (MMD) between source and target distributions. Our principal contribution is interpreting MMD-balls around the source distribution as credal sets in Walley's imprecise probability theory, yielding natural epistemic uncertainty quantification. We establish: (i) a PAC-Bayesian bound with an MMD-dependent shift","authors_text":"Ahanaf Hasan Ariq","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-20T22:22:20Z","title":"MMD-Balls as Credal Sets: A PAC-Bayesian Framework for Epistemic Uncertainty in Test-Time Adaptation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21783","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":"sha256:5edb0e27f17be340d2977bf93fa7cd39a4ba34aeeae0046ca69d7f64ac28abd6","target":"record","created_at":"2026-05-22T01:03:32Z","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":"5bbcde479913d2390e58d393ba19172355738d2dee0f5b77dd82d9ada68fde14","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-20T22:22:20Z","title_canon_sha256":"394950c8cf713a3588b9769c445bb5011d1868142d50e41de5cd518f753d8cc4"},"schema_version":"1.0","source":{"id":"2605.21783","kind":"arxiv","version":1}},"canonical_sha256":"1ac09295d2e83120c8c87f4feca339ec233a52215d809a1ea3b3036a5e8b0279","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ac09295d2e83120c8c87f4feca339ec233a52215d809a1ea3b3036a5e8b0279","first_computed_at":"2026-05-22T01:03:32.333700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:03:32.333700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ng8QQ24uOqDiBsNpoRmPPqFdVSA9KfKBsmcelO/ffCdIr6RogZ5Bjqhz49m06GL+9gprjeIBZi4skgZNg2RRCg==","signature_status":"signed_v1","signed_at":"2026-05-22T01:03:32.334201Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21783","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5edb0e27f17be340d2977bf93fa7cd39a4ba34aeeae0046ca69d7f64ac28abd6","sha256:b669f6766f847f599bb8949ab952d1378c0b70a49ae948e90f8117100ce1bf57"],"state_sha256":"ab6bc41d14e5dcc238e5ec7543e3bc1136befe1bc055f4714be52bf47b60bfc0"}