Written entirely by Claude, as a working record for agents more than for human readers: every number with its source file, and every claim since withdrawn. Some facts here may be out of date; where it disagrees with the post, trust the post. For the readable version, see the companion.

Full OCT persona replication

The zoo's geometry recomputed on the deployed Open Character Training persona adapters (stage one plus 0.25 stage two, exact merge) - the arrangement is the stage-one arrangement (off-diagonal r 0.992, Procrustes 0.995) and second-seed personas identify themselves 15/15.

Samuel asked on 2026-09-07 for the page's geometry, which is computed on stage-one adapters, to be replicated on the full OCT synthesis adapters. This page reports that replication. Method and inputs are in qwen35/analyse_fulloct.py; all numbers are from qwen35/analysis/fulloct_geometry.json unless another file is named. Regenerate with wiki/tools/gen_fulloct_page.py.

What was compared

• Stage one: the 134 DPO adapters, rank 64, scale 2.0 (results/gram_sweep.npz).
• Stage two: the 134 introspection SFT LoRAs, rank 64, scale 2.0 (results/cross_gram_full_loras_introspection_x_loras_introspection.npz).
• Persona: the exact merge dW = dW_dpo + 0.25 dW_sft, stored as a rank-128 concatenation with scale 1.0 (/oct/personas_exact, built by fix_persona_merge.py; see The persona merge and its correction). Its Gram was computed exactly by cross_gram_full_on_modal.py (job zoo-grampersona).
• Second seed: exact personas for the 15 traits that have a matched-objective seed-1 stage-one adapter and a seed-1 stage-two adapter, built by build_personas_seed1.py (job zoo-personaseed1). Per-trait norms are in analysis/personas_seed1_build.json; for example helpful has |dpo term| 1.521, |0.25 sft term| 1.684, cos(dpo, sft) +0.0000.

The persona is an equal-norm sum of two orthogonal parts

Share of each persona's squared norm: stage one 0.4999, 0.25 x stage two 0.4999 (means over 134; key norm_identity). The remainder, which is the stage-one/stage-two cross term, has mean +0.000166 and largest magnitude 0.000551. The raw stage-two delta is 4.01x the stage-one delta in norm, so at weight 0.25 the two halves match. The persona Gram equals G1 + 0.0625 G2 to relative error 0.000329 (persona_vs_predicted_raw_rel_err).

The arrangement is the stage-one arrangement

Keys gram_correlation_offdiag.*. The stage-one vs stage-two figure over all 134 traits (0.755) is the full-zoo counterpart of the r = 0.79 over 45 traits on Stage-two geometry.

PCA from the double-centred Gram: Procrustes R^2 of the k=5 scores, persona from stage one 0.9945, persona from stage two 0.6961, stage two from stage one 0.6754; at k=9, 0.9719 / 0.7570 / 0.6848. Principal angles between the stage-one and persona five-dimensional subspaces: 1.6, 1.9, 3.6, 5.4, 8.2 degrees; between stage two and persona: 10.9, 12.5, 21.0, 27.6, 82.7. Nearest neighbour unchanged for 103 of 134 traits (persona vs stage one), 98 (persona vs stage two), 70 (stage one vs stage two).

Variance fraction of the first five components: stage one 0.125, 0.110, 0.050, 0.036, 0.026; persona 0.079, 0.067, 0.034, 0.026, 0.020; stage two 0.030, 0.024, 0.018, 0.018, 0.016 (pca.variance_fraction_top10). The stage-two spectrum is nearly flat.

Why stage one dominates despite equal weight

With equal norms the persona cosine is the mean of the two stage cosines. The stage-two cosines sit on a large shared component with little pair-to-pair variation: off-diagonal mean 0.1452, standard deviation 0.0359, against stage one's mean 0.0721 and standard deviation 0.1627 (std_offdiag_cosine). The arrangement, which is the variation, therefore comes from stage one. This is the same shared component that makes the stage-two attenuation slope anomalous on Stage two at a second seed.

Second seed on the full persona

Computed by analyse_crossseed.arm with the persona within-run Gram as the attenuation baseline (second_seed.*). r/d for the rank-128 persona is 128/2560 = 0.05; the persona's slope 0.0389 lies between the stage-one value and the stage-two anomaly. Separation is slightly negative (-0.0030): the weakest same-trait cosine does not beat the strongest cross-trait one, as already true of stage two alone; identification is still 15/15. The 15 seed-1 personas' own cosine matrix correlates with the same 15 traits in seed 0 at 0.9958 (seed1_within_15).

Stage-one adapter against its own persona

Cross-Gram of the 134 stage-one adapters (volume pc-qwen35-sweep) against the 134 exact personas (pc-qwen35-oct2), scales 2.0 and 1.0 carried separately (job zoo-personacross2). Same-trait cosine mean 0.7069 (min 0.6478); the prediction from the norms if the two halves are orthogonal is 0.7068. Every stage-one adapter's nearest persona is its own: 134/134. Cross-trait mean 0.0510. Source qwen35/analysis/fulloct_geometry.json#stage1_x_persona.

A defect found on the way: doubled tensor keys

fix_persona_merge.py wrote the exact personas' tensor keys as base_model.model. + the stage-one key, but the stage-one keys already carry that prefix, so every file under /oct/personas_exact had keys of the form base_model.model.base_model.model.model.layers... (job log phase10_runs/personacross2.log, "first key under /adapters_b/personas_exact/active"). build_personas_seed1.py copied the construction and the seed-1 personas had it too. The Hub copy has the same keys: the safetensors header of persona_exact/active/adapter_model.safetensors in EternalRecursion/persona-lora-zoo-qwen35 (public) was read on 2026-09-07 and its first key is the doubled form, with r 128 and alpha 128. Tested on 2026-09-07 with PEFT 0.20 on a small synthetic model: an adapter saved with the doubled prefix and init_lora_weights: true (the published config) loads with a "Found missing adapter keys" warning, every LoRA B stays at zero, and the logits differ from the base by exactly 0.0; the correctly keyed copy of the same adapter changes them. The published persona_exact adapters are therefore inert when loaded through PEFT. The geometry on this page is unaffected (key names play no part in the Gram). qwen35/fix_persona_keys.py rewrote the volume copies with a single prefix on 2026-09-07 (analysis/persona_key_repair.json: 149 adapters, 149 rewritten, 0 errors, first key now base_model.model.model.layers.0.linear_attn.in_proj_a.lora_A.weight); the two constructors were fixed at source; Samuel approved the re-upload on 2026-09-07; qwen35/reupload_persona_exact.py (job zoo-repush-personaexact) re-pushed all 134 persona_exact adapters and their MERGE_NOTE files in 23 batched commits (analysis/persona_exact_repush.json), and a header read of six adapters on the Hub on 2026-09-08 showed single-prefix keys and the repair note.

What this does and does not establish

It establishes that every stage-one geometric result on the page also describes the released persona adapters, because the persona arrangement is the stage-one arrangement to r 0.992. It does not establish anything new about stage two: the stage-two half adds norm but almost no structure, and its own anomalies (the slope, the negative separation) are recorded on Stage two at a second seed; the slope is explained by the shared LoRA-A within stage two and the shared register direction, see Stage two, explored. Null arms were not rerun on personas; the null comparison on The null control arms is stage one only.