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model card (BABEL codec v1.0.0)

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+ ---
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+ license: cc-by-4.0
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+ tags:
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+ - interpretability
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+ - mechanistic-interpretability
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+ - gpt2
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+ - explainable-ai
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+ ---
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+
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+ # The BABEL codec β€” a certified two-way dictionary between GPT-2's insides and plain English
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+
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+ [![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.21230108.svg)](https://doi.org/10.5281/zenodo.21230108)
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+ [![License: CC BY 4.0](https://img.shields.io/badge/paper-CC%20BY%204.0-lightgrey.svg)](LICENSE)
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+
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+ This repository contains **the BABEL codec**: the first complete, certified, bidirectional decode
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+ of an entire production language model β€” a two-way dictionary between GPT-2 small's internal
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+ state and plain English.
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+
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+ Neural networks are famously black boxes: hundreds of millions of numbers change at every layer,
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+ and nobody can say what each one means. This work cracks that box open for one real model β€” and
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+ "cracks open" here means something precise: every dimension of GPT-2 small's internal state, at
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+ every one of its 13 layer checkpoints, in three kinds of text, is **priced** (how much
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+ does the model's behavior depend on it?), **read** (what does it say in English β€” or is it proven
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+ word-less?), and **written** (edit the English, and the model obeys) β€” with the pass bar for every
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+ claim written down and locked *before* the data, and every number traceable to a frozen,
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+ hash-stamped file in this repo. The honest boundary comes with the claim: 94.7% of behavior
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+ reconstructed from the certified dictionary; the remaining 5.3% resisted every translation method
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+ we tried β€” it transfers only as its exact raw configuration, never through any compressed or
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+ named form.
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+
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+ ![The model obeys hand-edits to its own English](figs/fig5_speak_confusion.png)
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+ *The headline in one picture: hand-edit ONE English field of the decoded state (rows), re-encode,
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+ and watch which vocabulary the model pushes up (columns). Turn up the "naval/warship" field and
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+ GPT-2 starts predicting "amphib, sunk, ashore, reefs, sailed, submarine". Three of four named
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+ axes steer the model in their own words; random edits of the same size never do.*
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+
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+ ## The claim, precisely
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+
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+ **The first complete, certified, bidirectional decode of an entire production language model.**
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+ Not the first "activations β†’ English" concept β€” Anthropic's Natural Language Autoencoders and the
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+ independent Cycle-Consistent Activation Oracles published that idea in spring 2026, and are
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+ credited below. The claim here is *completeness with proofs*:
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+
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+ - **Priced:** rebuild the full hidden state from only what the decoder reads, at all 39
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+ (boundary Γ— text-regime) checkpoints β€” behavior stays inside the model's own noise floor at
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+ **39/39** on the primary meter (36/39 on the stricter legacy meter; both always reported).
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+ The unexplained mass fell 11.2 β†’ 0.000 nats across six pre-registered "not yet" verdicts.
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+ - **Read:** all 351 decoder channels put on trial against matched random directions β€” **53.6%
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+ carry an explicit English meaning; 46.4% are *proven* to carry no word** (the test that proves
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+ it is part of the record). How meanings move between layers is linear-certified at all 36 seams.
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+ - **Written:** the inverse (English β†’ state) is exact algebra, not a trained network. Read β†’ say
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+ it in English β†’ write it back is behaviorally invisible at 39/39 checkpoints; transplanting the
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+ English between contexts carries **94.7%** of the behavioral meaning (random control: 18.6%;
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+ measured on 16 prose pairs at one mid-stack checkpoint);
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+ and 3 of 4 hand-editable axes steer the model in their own vocabulary.
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+ - **The honest boundary β€” measured and certified:** 94.7% of behavior reconstructed from the
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+ certified dictionary; the remaining 5.3% resisted every translation method we tried β€” it
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+ transfers only as its exact raw configuration, never through any compressed or named form: it
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+ lies *outside* the whole certified dictionary (L5), and it is diffuse across a 329-dimension
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+ "dark" subspace with no low-rank carrier and almost no nameable structure (L6). The fourth edit
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+ axis is certified unusable as a steering lever at both tested doses: it does not separate from
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+ an honest 20-draw random floor at either dose (at Β±3Οƒ its tiny effect sits within the floor's
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+ own draw-to-draw spread across two pre-registered 20-draw nulls) and it scales sub-linearly β€”
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+ a gauge, not a lever. The boundary of translation is measured and certified, not shrugged at.
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+
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+ ### Why "first" β€” the prior-art table
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+
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+ Four properties define the claim: whole-model coverage with a priced remainder; behavioral
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+ certification (not plausibility); a route through the model's *own* certified channels; and a
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+ two-way behavioral round trip. Every prior or concurrent line lacks at least one; this work fills
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+ all four. (βœ“ provided Β· ◐ partial Β· β€” absent; full citations and the generous version of every
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+ row: paper Β§7, Table 1.)
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+
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+ | work | whole-model, priced remainder | behavioral certification | model's own channels | two-way round trip |
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+ |---|---|---|---|---|
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+ | SAE feature dictionaries (2023–26, incl. all-layer GPT-2-small/Gemma Scope releases + all-neuron scoring) | ◐ all-layer coverage w/ CE pricing; remainder open "dark matter" | β€” | β€” | ◐ steering demos |
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+ | LatentQA (2024) | β€” | β€” | β€” | ◐ control via trained decoder |
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+ | Activation Oracles (Dec 2025) | β€” | β€” | β€” | β€” |
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+ | Predictive Concept Decoders (Dec 2025) | β€” | ◐ predicts behavior | β€” | β€” |
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+ | Natural Language Autoencoders (May 2026) | β€” | β€” | β€” | ◐ activation-space round trip + qualitative steering demo |
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+ | Cycle-Consistent Activation Oracles (Mar 2026) | β€” | β€” | β€” | ◐ activation-space cycle |
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+ | **the BABEL codec (this repo)** | **βœ“ 39/39, remainder certified** | **βœ“ 351/351 vs matched nulls** | **βœ“ + exact algebraic inverse** | **βœ“ 94.7% transplant, 3/4 edit axes** |
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+
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+ **Why you can check this rather than trust it:** every pass bar in the record was locked in an
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+ append-only findings pen *before* the measurement it governs (the pre-registration block behind
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+ each number is cited in the paper's Appendix A); every verdict-bearing artifact here is frozen and
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+ SHA-256-stamped (`artifacts/HASHES.txt`); and every headline number is byte-replayable from those
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+ artifacts on one workstation GPU (see "Verify it yourself").
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+
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+ **If any prior work provides all four properties for any model, we will amend this claim.** Open
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+ an issue at https://github.com/wpferrell/babel-codec-gpt2 or write to wpferrell@gmail.com. Confidence here is meant as openness,
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+ not bravado.
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+
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+ ## What am I looking at?
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+
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+ | artifact | plain description |
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+ |---|---|
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+ | `LEXICON_V3.md` (+ `LEXICON_V4_ADDENDUM.md`) | the vocabulary: every channel's English meaning, or its certified proof of word-lessness (+ 2 faint provisional signatures found in the dark mass) |
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+ | `GRAMMAR_TABLE_V1.json` | the grammar: how meanings move from each layer to the next (linear, at all 36 seams) |
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+ | `decoder_v7_tensors.pt` / `decoder_v7.json` | the reader: internal state β†’ English |
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+ | `_l3_encoder.pt` / `ENCODER_V1.json` | the writer: English β†’ internal state (exact inverse of the reader) |
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+ | `_l4_result.json`, `_l5_result.json`, `_l6_result.json` | the proof it runs both ways: the speak test (reconstruct / transplant / human-edit) and the certified-negative closures of its two loose ends |
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+ | `_v5_floors_recal.json` | the meter: the model's own per-checkpoint noise floors β€” the pass bar for everything |
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+ | `_v7_result.json` | the final 39/39 completeness verdict |
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+ | `HASHES.txt` (repo root) | how you verify nothing changed: every artifact's SHA-256 in `sha256sum` format, matching the paper's Appendix A |
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+
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+ ## Jargon box (all you need)
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+
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+ - **residual stream** β€” the model's running scratchpad: a 768-number state carried from layer to
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+ layer; everything the model "thinks" passes through it.
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+ - **activation** β€” the value of that state at some point; the raw numbers this work decodes.
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+ - **layer boundary** β€” a checkpoint between layers where the state is read (13 of them in GPT-2 small).
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+ - **noise floor** β€” how much you can jiggle the state before behavior changes; the model's own
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+ tolerance, used as the pass bar everywhere.
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+ - **certification** β€” a claim passes only by beating a pre-committed numeric bar against matched
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+ random controls; "sounds right" never counts.
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+ - **pre-registration** β€” the bar, the test, and the expected outcome are written and locked
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+ *before* the experiment runs; misses are published, not patched.
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+ - **transplant / speak test** β€” read context A's state as English, write that English into
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+ context B's state, and measure how much of A's behavior the model now shows.
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+ - **dark mass** β€” the part of the state the certified dictionary cannot read; here it is measured,
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+ bounded (5.3% of transplantable meaning), and certified to resist every translation method
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+ tried β€” it moves only as its exact raw configuration β€” not ignored.
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+
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+ ## Verify it yourself
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+
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+ ```bash
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+ git clone https://github.com/wpferrell/babel-codec-gpt2 && cd babel-codec-gpt2 # 1. get the record
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+ sha256sum artifacts/* # 2. hash every frozen artifact
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+ diff <(sha256sum artifacts/* | sed 's|artifacts/||') HASHES.txt # 3. compare to the shipped list at the repo root (sha256sum format; first 16 hex chars of each hash appear in paper Appendix A)
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+ pip install numpy matplotlib # 4. the only figure dependencies
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+ cp artifacts/*.json . && python figs/make_paper_figs.py # 5. regenerate every paper figure (CPU, seconds) β€” the frozen script reads its 9 input JSONs from its parent directory, hence the copy to the repo root
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+ ```
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+
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+ Reproducing a full verdict row (GPU, minutes): see `repro/README.md`. Everything in the paper ran
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+ on one 20 GB workstation GPU β€” there is no scale barrier between you and any number here.
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+
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+ ![The account closes](figs/fig1_nat_collapse.png)
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+ *Why you might believe it: the completeness verdict came back "NOT YET" six pre-registered times
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+ (11.2 β†’ 3.1 unexplained nats), gap tables published each time, nothing relaxed β€” before the band
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+ was finally met at 0.000.*
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+
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+ ## Related work (credited, not competed with)
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+
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+ Anthropic's **Natural Language Autoencoders** (Transformer Circuits, May 2026) and **Cycle-
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+ Consistent Activation Oracles** (Chalnev, March 2026) published the English↔activation translation
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+ concept first; this record claims the whole-model, certified, behavioral complement. Four precise
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+ differences (paper Β§7): coverage (every dimension at every boundary vs sampled mid-layer
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+ activations), certification vs plausibility (falsifiable per-channel verdicts incl. proven
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+ word-lessness vs learned glosses scored by reconstruction), constructive route (the model's own
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+ certified channels + algebraic inverse vs a trained external translator), and a behavioral round
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+ trip (the model *obeys* the edited English, scored against matched-random nulls, vs a round trip
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+ scored in activation space β€” NLA's qualitative steering demo via reconstructed activations is
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+ credited in the paper's Table 1). The read-direction
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+ lineage (logit lens β†’ LatentQA / ParaScopes / DecoderLens / Patchscopes) and the full-coverage
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+ SAE releases (Bloom 2024, Gemma Scope, Bills et al. 2023) are engaged in the paper.
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+
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+ ## Read more
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+
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+ - **The paper:** `paper/PAPER_V1.pdf` β€” every claim with its evidence hash (Appendix A maps each
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+ number to its frozen source).
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+ - **One-page summary:** `paper/PLAIN_SUMMARY.md`.
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+ - **The closure records:** `paper/L5_CLOSEOUT.md`, `paper/L6_CLOSEOUT.md` + addenda β€” the two
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+ loose ends hunted to certified negatives (five of seven favorite bets lost; every loss logged).
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+
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+ *If you re-run a row and get a different digit, open an issue β€” that is exactly what the hashes
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+ are for.*