{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:CZPCDEZNDLKDEQVN3UIZHS4D2T","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":"522a9028eef2904b95afdad07a602ddb2b18f9ce19ac11ce4e3b1d0feab02d83","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-02T16:49:19Z","title_canon_sha256":"80856431902d920738721199ca2fbe616db642ee0e0c65a535d844eec045e501"},"schema_version":"1.0","source":{"id":"2606.03883","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.03883","created_at":"2026-06-03T02:06:05Z"},{"alias_kind":"arxiv_version","alias_value":"2606.03883v1","created_at":"2026-06-03T02:06:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.03883","created_at":"2026-06-03T02:06:05Z"},{"alias_kind":"pith_short_12","alias_value":"CZPCDEZNDLKD","created_at":"2026-06-03T02:06:05Z"},{"alias_kind":"pith_short_16","alias_value":"CZPCDEZNDLKDEQVN","created_at":"2026-06-03T02:06:05Z"},{"alias_kind":"pith_short_8","alias_value":"CZPCDEZN","created_at":"2026-06-03T02:06:05Z"}],"graph_snapshots":[{"event_id":"sha256:5933df23377587bf7e50cdc8a0b83bc6d0c08272bd4e568f816dbce65d7b9285","target":"graph","created_at":"2026-06-03T02:06:05Z","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/2606.03883/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Large reasoning models (LRMs) are often evaluated using metrics such as final-answer accuracy or token count. However, identical scores on these metrics can hide fundamentally different reasoning structures. To address this limitation, we introduce a scalable LRM benchmark of logic puzzles and a pipeline that converts unstructured traces into verifiable reasoning graphs of claims and dependencies. This turns reasoning into a structured, measurable object whose topology can be quantitatively analyzed. Building on this, we define a reasoning efficiency metric that quantifies how concentrated the","authors_text":"Fabian Farestam, Fr\\'ed\\'eric Berdoz, Luca A. Lanzend\\\"orfer, Roger Wattenhofer","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-02T16:49:19Z","title":"Reasoning Structure of Large Language Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.03883","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":"sha256:6da55b7b9342e25c289efbce8c754a0439942369db193f603b9340d474c1248b","target":"record","created_at":"2026-06-03T02:06:05Z","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":"522a9028eef2904b95afdad07a602ddb2b18f9ce19ac11ce4e3b1d0feab02d83","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-02T16:49:19Z","title_canon_sha256":"80856431902d920738721199ca2fbe616db642ee0e0c65a535d844eec045e501"},"schema_version":"1.0","source":{"id":"2606.03883","kind":"arxiv","version":1}},"canonical_sha256":"165e21932d1ad43242addd1193cb83d4fe96335ae3351cc54f65061b13e346ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"165e21932d1ad43242addd1193cb83d4fe96335ae3351cc54f65061b13e346ad","first_computed_at":"2026-06-03T02:06:05.207634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T02:06:05.207634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IkKYjriRHqpYTOmBQKjVF/r1o+MCGDc5iUX+sU5n4GdV3Orj7JA/RMUuThzTdnKB71EuNu/7hUng0PAwGf+/AQ==","signature_status":"signed_v1","signed_at":"2026-06-03T02:06:05.207975Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.03883","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6da55b7b9342e25c289efbce8c754a0439942369db193f603b9340d474c1248b","sha256:5933df23377587bf7e50cdc8a0b83bc6d0c08272bd4e568f816dbce65d7b9285"],"state_sha256":"50745e3f20f37c87a5320249cfc834362d6fb51ec75e4c0a64b88cad8eb0cc24"}