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The angular separation grows through mid-depth, and late layers resolve the asymmetric outcome -a logit-lens preference that, in the incorrect run, falls far below the naive prior of equal probability, corresponding to the model assigning approximately 11.5 times more probability to the incorrect token than to the correct one. We characterize this two-phase pattern-rotational divergence in mid-depth followed by late-layer asymmetric commitment-as the empirical geometric signature of what looks externally like the model rejecting a wrong continuation, while remaining explicit that it is an observational char","title":"How Transformers Reject Wrong Answers: Rotational Dynamics of Factual Constraint Processing","url":"https://arxiv.org/abs/2603.13259","vendor":"arxiv_cs_ai"},"summary":"arXiv:2603.13259v2 Announce Type: replace-cross \nAbstract: When a decoder-only transformer is forced to process matched correct and incorrect single-token continuations of a factual query, the two pathways through hidden-state space diverge in a specific way: displacement vectors from the query-only representation maintain approximately equal magnitude but rotate apart in direction. The angular separation grows through mid-depth, and late layers resolve the asymmetric outcome -a logit-lens preference that, in the incorrect run, falls far below the naive prior of equal probability, corresponding to the model assigning approximately 11.5 times more probability to the incorrect token than to the correct one. We characterize this two-phase pattern-rotational divergence in mid-depth followed by late-layer asymmetric commitment-as the empirical geometric signature of what looks externally like the model rejecting a wrong continuation, while remaining explicit that it is an observational char","title":"How Transformers Reject Wrong Answers: Rotational Dynamics of Factual Constraint Processing","vendor":"arxiv_cs_ai"},"confidence":{"method":"deterministic"},"decision":"POSITIVE","issued_at":"2026-06-09T04:43:45Z","notes":"Spider vendor_press (news) news.vendor_press.v1","object":{"captured_by":"crovia.spider.vendor_press","primary_source_url":"https://arxiv.org/abs/2603.13259"},"predecessors":[],"schema":"crovia.axiom.v1","signature":"ed25519:84833f9ef8bb8c7686d78b4de684710cc611899fe80bd59fbfc51b8ed7357731ce57ebc37514cfb2fa47b89b054c5ef6353f11d90155b192fbab64644b440409","signer":"crovia.substrate","subject":{"observed_at":"2026-06-09T04:43:45Z","source_collector":"spider:vendor_press","target_id":"https://arxiv.org/abs/2603.13259"},"tsa":{"authority":"crovia.substrate.bootstrap","rfc3161_token":"{\"kind\":\"crovia.bootstrap.tsa\",\"source_jsonl\":\"/opt/crovia/spider/data/news/vendor_press_v1.jsonl\",\"source_seal_merkle_root\":\"spider_vendor_press_v1\",\"upgrade_path\":\"Sessione H \\u2014 OpenTimestamps weekly anchor\"}"},"zk_mode":"clear","zk_proof":null},"ledger":{"leaf_hash":"1bb9ac16d9e94f7ce5a2e572e3db43c56c2dccec64ea496b82c422262c7583a0","leaf_index":224614,"ledger_path":"/opt/crovia/substrate/axiom_ledger.jsonl"},"merkle_proof":{"hash_alg":"sha256","leaf_prefix":"0x00","node_prefix":"0x01","odd_leaf_rule":"duplicate_last","path":[{"sibling":"c3f40a2e2aaca49e0c7773a9b65aae7c0ed8fcb28ffc18446685f451e70470f4","side":"right"},{"sibling":"4480ec1e104b0de0bc63652a507d042be5e0d10b00e8c28599115a3660e06ab6","side":"left"},{"sibling":"2da18e7c6e07c9ba7c8d7d0aba17e8df797f0e1a1b23be2ad8f6fd3a799e5933","side":"left"},{"sibling":"22d5923f686dda0cf7cfd3131a87f90c189164636b84f0763572e35cc8e27af5","side":"right"},{"sibling":"6bf1d76bd620489e014232812ba76209e8f31b4c971b4b781908190e37c87de4","side":"right"},{"sibling":"e4da1336c1206aae0c29063e4f69bc492101171727b20d2c68db4ae0b3921fbf","side":"left"},{"sibling":"c0fff0778a9884738bd7bb2c3b5f103904b36267458ec4bcbe17e0a1abdae603","side":"left"},{"sibling":"ce39e453038de7aa49f7571634d02890601b8ad6700079b4c6e4dc3e1d2e8b38","side":"right"},{"sibling":"f54580a307d4bb82e453931aa73e9a0c590486cb8df06af79ad4674f1c4f6963","side":"left"},{"sibling":"b2df6a4bb3e928f0b447931cc688ae01d2415773a2b07cfed0b1cba689078aed","side":"right"},{"sibling":"b1c9ec856caa0fd46bb47b46f18c59ebcd295d774ca17adb3b46f05d394a6a5d","side":"left"},{"sibling":"24fdc29d461691aedb6fa920758206b5bb43851f477ef7a04c34aaed84b8971b","side":"left"},{"sibling":"036922da4e1e2c46d948f070454bfad299b7406fb00735ea9d8bd1e687f5f445","side":"right"},{"sibling":"533d82482604463aa4a281b9d8b85917b383b7c5f924b2b494039524c55e8797","side":"left"},{"sibling":"b2590791b920ca2a4ed39de126d2c0b1a10d9e7e62f572f12425f214e767b6e1","side":"left"},{"sibling":"87c6b850dfec08ac35a693d9db3a3315250a68adb1cfab9b1015f212b63b15bd","side":"right"},{"sibling":"c300cf0154c136afc09b1702a0be98f4ba5b6dc5cf57e8cc714ec1eaf4196eff","side":"left"},{"sibling":"d841ad93efda0869e5eb97678f348f03f5caab4353e05ff4bf18f47fb945b822","side":"left"}]},"schema":"crovia.axiom_proof.v1","seal":{"first_collector_run_id":"","first_receipt_hash":"","jsonl_path":"/opt/crovia/substrate/axiom_ledger.jsonl","key_id":"430895f101d38164","last_collector_run_id":"","last_receipt_hash":"","leaf_count":224761,"merkle_root":"e9f7b49b652e869ab97ffba9c5a31356b2d0e3dc5d00bb28944adf737c46b1e7","public_key_hex":"cf742e26f75669dc673cb5c0786a1ae23ae8ca19c347317192ce40c28a7ff25c","run_id":"hourly_json_retrofit_20260609T103805Z","schema":"crovia.seal.v1","seal_family_version":"crovia-seal-family/1","seal_kind":"substrate_batch","sealed_at":"2026-06-09T14:15:34Z","sig_algorithm":"ed25519","signature":"8ad8076fb12c8e486ae1d1559a9a7ba8e2ee996a9ad3d8ba7bcdbdbd88ab3a15bcb429707aca6d3e9d8b97e2ba755b3dcc77b1abb6601ccb829842719a6fb30d","signer_version":"1.1.0"},"trust_root":{"key_id":"430895f101d38164","public_key_hex":"cf742e26f75669dc673cb5c0786a1ae23ae8ca19c347317192ce40c28a7ff25c","signature_algorithm":"ed25519","url":"/registry/canon/TRUST_ROOT.md"},"verifier":{"spec":"/registry/canon/AXIOM_RECEIPT_v1.md","url":"/v/axm_ea0ad8691205427e1aef004bd9a601165c1abe48b186c1b261bfb838212568a3"}}