Ars Inquirendi

AI-generated conjecture · below the evidence/publication boundary

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The cutting-stock codex

Status: Anticipated · untested

Status is derived only from the shepherd-authored triage/prediction data above -- community submissions and claims are a separate overlay and can never change it (see the participation panel below).

This is a proposed connection between two domains, generated by a language model. It is not an article and not evidence: it sits below the evidence/publication boundary. A quantitative prediction and a named kill-dataset are attached (when registered) so the claim stays falsifiable rather than merely evocative.

Claim (verbatim)

The cutting-stock codex. The cutting-stock problem of operations research — how to cut standard stock into pieces with minimal waste — meets codicology. This conjecture holds that parchment page sizes were not aesthetic free choices but near-optimal cuts of animal skins: a skin is a roughly fixed regional rectangle, and folding it in halves, quarters, eighths, and sixteenths is the waste-minimizing way to make leaves, so leaf dimensions should quantize at dyadic folds of regional skin sizes rather than vary continuously. Paper leaves, cut from standard mould sizes under a different production constraint, should cluster at different and sharper modes. Concretely, in thousands of dated European parchment codices the joint height-width distribution should be multimodal, with a solid majority of leaves within a few percent of a dyadic fold series of reconstructed regional skin sizes, implying material wastage under a fifth; a smooth unimodal parchment size distribution kills it.

Prediction clause (verbatim)

In >= 2,000 dated European parchment codices, the joint height-width distribution is multimodal with >= 60% of leaves within +/-6% of a dyadic fold series (1/2, 1/4, 1/8, 1/16) of reconstructed regional skin sizes, implying material wastage <= 18%; contemporary paper codices show mould-derived modes at distinct loci. A smooth unimodal parchment size distribution kills it.

Kill-dataset (verbatim)

Kill: leaf-dimension fields of e-codices and the Schoenberg Database of Manuscripts.

Nobody has run this test. The kill-data is named above. If you can run it — or you know the paper that already settles it — claim the kill or submit the prior scholarship. Kills and prior scholarship are credited here, by name, as they come in.

On Inferpedia

This conjecture has been linked to the following subject pages on Inferpedia — an encyclopedia of the missing, now in limited preview.

Provenance

Run: Fresh agent generation · model: claude-fable-5

Generated by a fresh Fable-tier instance at maximum effort with generation-first blindness (no repo/web/DB access); titles-only knowledge of existing items, embedded in titles_supplied per the batch-2 lane rule; prompt pre-committed in docs/GOAL_CONJECTURES_BATCH3_20260705.md (b043140). Novelty unverified by construction. titles_supplied stripped to the committed sidecar conjecture_fresh_fablemax_batch3_titles_supplied_20260705.md at import (schema additionalProperties:false; relaxation queued).

Novelty / leakage triage

anticipated in the literature — this exact test has never been run

Kwakkel's dimension-economics program is the named close prior (353 manuscripts, offcut-reuse economics) and skin-to-folio yields are quantified (KBR), with cutting-stock OR mature since Kantorovich; the dyadic-fold quantization/multimodality test on leaf sizes was not located.

Predictions

No prediction registered yet.

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