The whole corpus is public: twenty-three preprints (March–July 2026) on Zenodo, dedicated to the public, every claim reproducible from the definitions. This page is the map between them and the instruments.
Each paper appears exactly once — on the first line that depends on it. A result that underpins several instruments is listed at its earliest point of use and not repeated, so reading down the page gives the corpus in the order the product line actually consumed it.
Kessler is the oldest line and it rests on the substrate’s foundational run. Its published audit names these eleven together as its methodology source family rather than mapping one paper to one claim, and they are listed that way here.
The zero-free-parameter transition operator on the coprime residues — the base object the rest of the compiler’s algebra is built from.
A scaling law split into independent exponents with no sign conflict. Its own subject is fusion-energy confinement, not debris; it belongs to Kessler’s cited family as evidence that the method was not built to fit one domain.
The identity forcing every oscillatory mode to decay at the same rate — the reason Kessler’s spectral read-outs carry no preferred direction.
The Gauss-sum structure and the hierarchy break that fix which floor the low-Earth-orbit embedding sits on.
The palindromic distance ratio in closed form — the determinant arithmetic that carries a result from one floor to the next.
A transport operator with a sharp phase transition — the template for reading a critical density rather than fitting one.
The identity between the Boltzmann transition operator and softmax attention, with the temperature supplied by the prime number theorem.
The multiplicative-order invariant that Kessler surfaces in the footer of every page it serves.
The same operator carried onto 198,862 tumours. Its subject is oncology, not orbits; like the fusion paper above it stands in Kessler’s family as cross-domain transfer evidence.
The rank-4 ceiling and the invariant subspace behind it — Kessler’s lead citation, and the direct source of two of its published audit claims.
Part II of this paper is the Kessler analysis: the 49,998-object conjunction graph, the Fiedler connectivity read, the percolation threshold and the fragility curves the instrument computes live.
The whole instrument: the activation level read from the Sun’s own magnetic field, the two thresholds, the energy–rate relation, and the size-scaled lead time — seventeen hours ahead of the October 2024 X9.0.
One paper, and that is not an omission — Heliograph’s reference list is classical solar physics throughout, with no substrate companions.
All four read-outs: whether a cislunar orbit holds and what it costs to keep, the transfer corridor and its energy gate, how many craft a region carries, and the formation beat.
The integer-exact multi-body classifier — the regime fingerprint that returns the Sun–Earth–Moon system as deeply stable, which is the channel behind “does this orbit hold?”
Part II of this paper is the Joule line: tortuosity within 0.12% of the open-source standard at 3.47× the speed, a 3.23-billion-throat solve, and the one-solve criticality map.
The containment certifier — the contained / marginal / escaped verdict Joule sells, read fraction-free from determinant signs rather than from a simulation that has to be trusted.
The complex-time propagator on its thermal axis — the stage that carries effective ion transport through the pore network.
The spectrum-versus-count frame, and the discriminator that decides whether an object reduces to integers before the exact stage is allowed to run.
The scalar-blindness theorem and the six reductions behind the line: address-gated multicast that succeeds only with the right keys, branching search, a directed store invisible to any two-body statistic, and coordination with no centre.
Flash also composes on The Hybrid Solver, listed above under Joule at its first use.
The conserved charge that is the certificate — the invariant a third party verifies offline, without the apparatus, behind all four data sheets.
The closed-form near field and the quorum conservation law, with each data sheet citing its own section — the switch census, the full loaded field, the thermal valve, and the ground read.
The Arithmetic Quvit, recursive transport, exact route holonomy, and the three software reductions behind Flow: sparse microfluidic edge control, simulated carbon-capture swing-bed control, and conservative whole-build solidification control.
The zero-free-parameter Standard-Model construction. Three later papers cite it in the same role — as the independent physics cross-check the substrate is measured against — and no instrument consumes a result from it. It is listed here rather than assigned to a line, because placing it under one product would overstate what that product uses.