{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YQBTNIMZ6CBWEVNNGSQ4P2UYB2","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":"d9b348e21ba251f22cd5b4e1aa08cb14ae3d54410646cd9f7c61e46a56fb94a9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-15T21:39:47Z","title_canon_sha256":"215b06441516fa865d095c9d4e397df1efaed4db010c319eec50a87bbe8229c9"},"schema_version":"1.0","source":{"id":"2606.17312","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.17312","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.17312v1","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.17312","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"pith_short_12","alias_value":"YQBTNIMZ6CBW","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"pith_short_16","alias_value":"YQBTNIMZ6CBWEVNN","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"pith_short_8","alias_value":"YQBTNIMZ","created_at":"2026-06-19T16:10:08Z"}],"graph_snapshots":[{"event_id":"sha256:f33f164b3cb54c1b434103bf7fe84d560e0d5a718da5236aed7f5e28bb2259a0","target":"graph","created_at":"2026-06-19T16:10:08Z","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/2606.17312/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Large language models can arrive at the same answer through reasoning paths that are unstable, contradictory, or difficult to rank consistently -- a failure mode especially prevalent in multi-step deductive reasoning. Existing methods assess reliability primarily through output dispersion -- measuring how much sampled answers differ -- but this discards a complementary signal: whether the model can consistently rank competing reasoning candidates. We propose structural uncertainty, a consistency-aware framework derived from the stability of self-preference-induced rankings over sampled reasoni","authors_text":"Baishali Chaudhury, Hyunji Hayley Park, Jae Oh Woo, Mengdie Flora Wang, Rahul Ghosh, Sungmin Hong","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-15T21:39:47Z","title":"Quantifying Consistency in LLM Logical Reasoning via Structural Uncertainty"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.17312","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:ec21c6b296e09550e660503e8ab64cf5a10e12d63fe0cad961be06cf3bd7b7be","target":"record","created_at":"2026-06-19T16:10:08Z","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":"d9b348e21ba251f22cd5b4e1aa08cb14ae3d54410646cd9f7c61e46a56fb94a9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-15T21:39:47Z","title_canon_sha256":"215b06441516fa865d095c9d4e397df1efaed4db010c319eec50a87bbe8229c9"},"schema_version":"1.0","source":{"id":"2606.17312","kind":"arxiv","version":1}},"canonical_sha256":"c40336a199f0836255ad34a1c7ea980e83a5f26fb741b086131375e5a5d1f2c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c40336a199f0836255ad34a1c7ea980e83a5f26fb741b086131375e5a5d1f2c5","first_computed_at":"2026-06-19T16:10:08.754646Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:08.754646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zSVBcaIiBlH6R7h97f/7cwlVvZs0zsgtl2OD8ByoYD/gnuCpWNL29GUj1KhhPXRVhgIjD4ibPC28h7EkUx4eCA==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:08.754983Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.17312","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec21c6b296e09550e660503e8ab64cf5a10e12d63fe0cad961be06cf3bd7b7be","sha256:f33f164b3cb54c1b434103bf7fe84d560e0d5a718da5236aed7f5e28bb2259a0"],"state_sha256":"8aaa531f44186dc7e30fd615ace8455eddbb46c25873c7f6777100c15e66be06"}