{ "question": "which of our claims hold on every backbone we tested", "method": "intersect over substrates, after Generally 2026 Core(M) over descendants", "hosts": [ "Gemma-2-2B", "Llama-3.2-3B", "Qwen2.5-7B", "Qwen2.5-VL-3B", "Qwen3-235B-A22B", "gemma-4-31B", "gemma-4-31B-it", "gpt-oss-20b" ], "in_core": [ { "claim": "regime calibration ECE holds in the fourth decimal", "backbones": { "Qwen3-235B-A22B": 0.0005, "gpt-oss-20b": 0.0009 }, "holds": true, "source": "paper_srt_program.md L246-252" }, { "claim": "regime AUROC above 0.97", "backbones": { "Qwen3-235B-A22B": 0.9859, "gpt-oss-20b": 0.974 }, "holds": true, "source": "paper_srt_program.md L246-252" }, { "claim": "hidden-state truthfulness detector AUC in the 0.78-0.87 band", "backbones": { "Qwen2.5-7B": 0.8656, "Gemma-2-2B": 0.8563, "Llama-3.2-3B": 0.8475 }, "holds": true, "source": "README.md L97-103" }, { "claim": "a greedy-versus-best-of-K gap exists", "backbones": { "Qwen2.5-7B": 0.589, "Llama-3.2-3B": 0.619, "Gemma-2-2B": 0.528, "gpt-oss-20b": 0.541, "gemma-4-31B-it": 0.507 }, "holds": true, "source": "paper_nla.md, greedy centred fve per host" }, { "claim": "greedy never reaches the zero-training NN retrieval baseline", "backbones": { "Qwen2.5-7B": 0.714, "Llama-3.2-3B": 0.82, "Gemma-2-2B": 0.712, "gpt-oss-20b": 0.744 }, "holds": true, "source": "paper_nla.md, NN baseline per host" }, { "claim": "the K-curve is log-linear in K", "backbones": { "Qwen2.5-7B": 0.03, "Llama-3.2-3B": 0.034, "Gemma-2-2B": 0.02, "gpt-oss-20b": 0.017, "gemma-4-31B-it": 0.017 }, "holds": true, "source": "paper_nla.md, centred fve per doubling" }, { "claim": "logp-rerank is dead, Spearman against oracle near zero", "backbones": { "Qwen2.5-7B": 0.04, "Llama-3.2-3B": 0.055, "Gemma-2-2B": 0.03 }, "holds": true, "source": "paper_nla.md" }, { "claim": "the anisotropy-centred random floor lands at 0.50", "backbones": { "Qwen2.5-7B": 0.51, "Llama-3.2-3B": 0.499, "Gemma-2-2B": 0.498 }, "holds": true, "source": "paper_nla.md, despite ~22x anisotropy spread" }, { "claim": "a linear map beats an MLP for cross-modal alignment at every data size", "backbones": { "gemma-4-31B": 1, "Qwen2.5-VL-3B": 1 }, "holds": true, "source": "paper_srt_program.md, gap widens with data" }, { "claim": "rotation alone cannot express the modality gap", "backbones": { "gemma-4-31B": 1, "Qwen2.5-VL-3B": 1 }, "holds": true, "source": "paper_srt_program.md, Procrustes below baseline" }, { "claim": "evaluative thickness beta ports across substrates", "backbones": { "Qwen2.5-7B": 0.38, "gemma-4-31B": 0.41 }, "holds": true, "source": "paper_nla.md L2061-2138" } ], "outside_core": [ { "claim": "abstractness beta ports across substrates", "backbones": { "Qwen2.5-7B": 0.61, "gemma-4-31B": 0.03 }, "holds": false, "source": "paper_nla.md L2061-2138" }, { "claim": "best-of-K reaches the paraphrase ceiling", "backbones": { "Qwen2.5-7B": 0.788, "Llama-3.2-3B": 0.858, "Gemma-2-2B": 0.631, "gpt-oss-20b": 0.642, "gemma-4-31B-it": 0.591 }, "holds": false, "source": "paper_nla.md, tuned hosts plateau below NN" } ], "single_host": [ "reflexivity correlation r=0.689 (gpt-oss-20b)", "autostereogram sensor boundary (gemma-4-31B)", "punctuation completeness flag at L24 (gpt-oss-20b)", "word-category basin structure at L12 (gpt-oss-20b)", "community read-out transfers zero-shot to CIFAR-10 images (Qwen2.5-7B to gemma-4)", "best-of-64 saturates the paraphrase ceiling at rho_cen 0.99 (Qwen2.5-7B)" ] }