{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AG4N5RQFKKIKIXZ3A5M3KMSXZV","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":"537fe47b534496f7fcc66f7fc200175934ce0db0a6b930bce631a62188a2cc41","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-27T19:25:07Z","title_canon_sha256":"b4c9f7f8662e91b266e1efcd81d9b50aacbb31b0ba3853d4e2291931cd51f04a"},"schema_version":"1.0","source":{"id":"2606.29054","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.29054","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"arxiv_version","alias_value":"2606.29054v1","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.29054","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"pith_short_12","alias_value":"AG4N5RQFKKIK","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"pith_short_16","alias_value":"AG4N5RQFKKIKIXZ3","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"pith_short_8","alias_value":"AG4N5RQF","created_at":"2026-06-30T01:17:50Z"}],"graph_snapshots":[{"event_id":"sha256:c17fc1913535ce59571f3717fd8face6d77ffaca82977ffaaceff6d25728a564","target":"graph","created_at":"2026-06-30T01:17:50Z","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/2606.29054/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Large language models (LLMs) deployed for structured generation (NER, JSON extraction, QA, and classification) lack formal reliability guarantees, and standard heuristic abstention policies miss user-specified risk targets by 7.5--12.5%. We characterize when conformal risk control (CRC) can certify structured LLM outputs and when it provably cannot. First, we prove an impossibility result: when the base risk (\\mu > \\alpha), any distribution-free method must abstain on at least ((\\mu-\\alpha)/(1-\\alpha)) examples, yielding a closed-form feasibility test: one can check whether CRC will work befor","authors_text":"Varun Kotte","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-27T19:25:07Z","title":"When Can Conformal Risk Control Certify LLM Outputs? Bounds, Impossibility, and Adaptation for Structured Generation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.29054","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":"sha256:90bf6d4f1fbae4c01389bc0d4ebece5451066d6328a510ebfc6ad4f9f569a306","target":"record","created_at":"2026-06-30T01:17:50Z","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":"537fe47b534496f7fcc66f7fc200175934ce0db0a6b930bce631a62188a2cc41","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-27T19:25:07Z","title_canon_sha256":"b4c9f7f8662e91b266e1efcd81d9b50aacbb31b0ba3853d4e2291931cd51f04a"},"schema_version":"1.0","source":{"id":"2606.29054","kind":"arxiv","version":1}},"canonical_sha256":"01b8dec6055290a45f3b0759b53257cd74d33c4027b49067613f56423c6df3b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01b8dec6055290a45f3b0759b53257cd74d33c4027b49067613f56423c6df3b6","first_computed_at":"2026-06-30T01:17:50.959970Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:17:50.959970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HnztGjgt/HSMu6Fgv5e3s6wTKb8iH/Kd2y2uq9dVMb6YPExARmAoftb77wTUzFxXgeLtdwTZ8FadT9EwRkcpBA==","signature_status":"signed_v1","signed_at":"2026-06-30T01:17:50.960628Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.29054","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90bf6d4f1fbae4c01389bc0d4ebece5451066d6328a510ebfc6ad4f9f569a306","sha256:c17fc1913535ce59571f3717fd8face6d77ffaca82977ffaaceff6d25728a564"],"state_sha256":"70b4c618c143abc397490fa34b1639b76a648d7f59142d8a88522dbab7f44b71"}