Erratum drafts: the board, the kind of frequency, and the catalogue count - #521

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Commits on Aug 9, 2026

Measure the actual frontier: four levers against MXFP4, and what each is worth

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Seven measurements at the frontier, and the honest verdict they add up to

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Read BlockDialect, measure the sign lever on real activations, and close the question

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Energy asymmetry: the unclaimed ceiling sits on GELU and SwiGLU

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An asymmetric dialect beats DialectFP4 on activations at no arithmetic cost

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Real trained tensors: the criterion predicts correctly, the format wins once

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Transforms move the ceiling that formats share -- and can destroy what a format exploits

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Order of operations changes the result by up to 2.78x, with a clean control

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Perplexity on a task that can degrade, and the summary of what this line produced

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The ternary-network datapath, measured as one design rather than summed

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The full matrix: one ternary neuron across formats, scored against every theorem

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Eighteen formats through one ternary neuron, including the GF ladder

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The TEF ladder in the matrix, and the unfair comparison it exposed

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The BNF/TNF control in silicon, and the frontier across all four families

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The frontier and the silicon, which contradict each other only apart

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docs(research): dominance verified across all five width classes

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docs(skills): record what the frontier result does and does not close

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paper: retitle to Ternary Network Floats and prove the trit is the slack

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paper: width-rule optimality, regret, composition, and the block gap

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research(block): MXFP4 was given six magnitudes where the spec gives eight

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paper: name the first principles -- KKT, radix economy, Kraft

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research(ternary): the accumulator law, derived and measured

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paper: lead with the datapath, and split trainable from rejected

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research(block): the block axis is decided, against us

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paper: place the work inside a sixty-eight-year argument

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paper: complete the truncated table and withdraw stale headline numbers

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research(families): the two axes return the same format, measured

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paper: the multiply-free path is not merely cheap, it is exact

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research(phi): the phi scale grid halves the cost of removing the multiplier

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fpga(phiscale): what the layer scale costs with and without a multiplier

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fpga(phiscale): name which direction was actually built

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research: APoT refutes our scale-grid claim, and exactness was never ours

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research(scale): three vertices, no winner, and the shifter we ignored

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paper: the scale applier has three vertices, and two of our claims move

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research: the area ordering inverts with regime, and ours was the wrong one

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paper: withdraw the area advantage as well, by our own attack
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research: the operating point, which is what survives five withdrawals
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paper: the operating point, and four theorems that bound it
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research: seven iterations, seven withdrawals, and what is left
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research(frontier): withdrawal 8 -- the headline was a positions-vs-bits artefact
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paper: correct the headline -- the frontier at equal storage
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research: withdrawal 9 -- the ternary rungs are wider than their names
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conformance: gate artefact divergence, and withdraw the BNF/TNF reading
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conformance: catch implementation orphans, and bound the damage
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ci: run the artefact-agreement gate as a ratchet
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research: withdrawal 12 -- the instrument limitation was false
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research: post-route resolution of three prior disputes
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Commits on Aug 10, 2026