docs/DATA_DICTIONARY.md

Data dictionary

All numerical records are synthetic model outputs, exported from the unmodified results/verification.json. Values are not fitted material parameters, experimental observations, measured energies, physical feature sizes, or manufacturing yields. Each Hugging Face configuration has a single data split. No train/test partition or benchmark performance claim is implied. Floating values preserve Python's deterministic round-trip representation.

dose_frontier — 36 rows

Source array: dose_table. Four targets q and nine comb orders m are included. The original array order is preserved.

Column	Meaning
m	Integer number of equally spaced phase gates and ideal pitch-multiplication order, at least 2.
q	Required dimensionless committed fraction at each prescribed interstitial midpoint, strictly between 0 and 1.
action	Balanced dimensionless action per marking gate, u_m(q), obtained by inverting G_m(u)=q.
total_action	Minimum total dimensionless marking action U_m(q)=m*action within the ideal exact-node class.
ratio	Dimensionless ratio total_action/m^3, approaching c_q as m increases.

The conversion from total marking action to incident marking fluence requires a calibrated marking coefficient: E_mark=total_action/sigma. Reset/commit fluence, heat and duration are additional resources.

cubic_constants — 4 rows

Source mapping: cubic_constants; rows sorted by numerical q.

Column	Meaning
q	Fixed required midpoint fraction.
c_q	Numerically calculated positive coefficient solving the manuscript's infinite-product equation; limit of U_m(q)/m^3.

These are floating/high-precision calculations, not interval-certified decimal enclosures.

diffusion — 16 rows

Source array: diffusion_examples. Four comb orders and four hypothetical angular diffusivities are included. The normalized first-order marking rate is 1, the target ideal midpoint fraction is 0.5, and the modeled gate ordering is that of the original implementation.

Column	Meaning
m	Comb order and number of patterned marking gates.
diffusion	Hypothetical normalized angular diffusivity D_theta=D*k^2; not an experimentally calibrated material value.
action	Per-gate dimensionless marking action chosen for ideal no-diffusion midpoint fraction 0.5.
time	Total normalized marking duration, equal to m*action at marking rate 1; excludes reset and commit times.
max_dark	Maximum calculated retained fraction among prescribed nominal dark nodes.
min_bright	Minimum calculated retained fraction among prescribed interstitial midpoints.
max_dark_bound	Maximum corresponding analytic protecting-gate upper bound used by the original discrete-model check.
grid_error	Largest profile difference between grids with n=64*m and 2*n=128*m; numerical refinement evidence, not a rigorous continuum error bound.
n	Number of spatial points on the coarser periodic finite-difference grid.

Fractions and actions are dimensionless; angular position is periodic. Diffusion may destroy exact dark zeros and m-fold symmetry. The data do not demonstrate fabricated-feature resolution.

hazard_compiler — 4 rows

Source array: hazard_examples. All rows concern the same specified three-product synthetic 3D hazard target evaluated on a 24^3 grid. Each product has three fringe factors. Repeated passes are evaluated through their exact aggregate formula in software; reported counts charge all physical passes and gates.

Column	Meaning
error	Maximum observed conversion-fraction error over the supplied 24^3 grid.
hazard_error	Maximum observed hazard-field error over that grid.
bound	Conservative whole-domain conversion-error envelope from the manuscript's hazard bound using the analytic target-hazard envelope H_max<=2.56; it may exceed the trivial fraction-error bound 1.
grid_bound	Error-bound expression using grid maxima of the target hazard and per-pass survival; not a whole-domain certificate.
passes	Number of repeated serial passes required by the constructive program.
factor_gates	Total patterned marking-gate count, three per pass.
primitive_ideal_maps	Count of ideal marking/filter/commit maps, seven per pass in this example.
mark_action	Total dimensionless marking action, action*factor_gates.
action	Common dimensionless weak marking action per fringe factor.

The existence theorem is separate from this finite example. Smaller error can have rapidly growing resource cost; the comb's cubic law is not a generic 3D efficiency bound.

claims — 12 records

Format: UTF-8 JSON Lines, one object per line. Every object has the same seven string fields. These are editorial statements of scope grounded in the manuscript, not additional measured data, benchmark labels or machine-verified proofs.

Field	Meaning
claim_id	Stable packaging identifier C01 through C12.
title	Short descriptive title.
statement	Claim or release-status statement, with its intended domain.
status	Evidence category, such as conditional analytic result or synthetic simulation.
assumptions	Principal conditions necessary for interpreting the statement.
evidence	Locations of derivations, finite checks or provenance supporting that scope statement.
limitation	Explicit boundary preventing a stronger interpretation.

A readable rendering appears in CLAIM_LEDGER.md. The source of truth for mathematical proofs remains the manuscript. Original full ledgers and provenance remain in results/ and source/.