XYPHERS GROWTH EVIDENCE MAP Articles An Equation of State and the Growth of a Xypher What is a Xypher? (Core Thesis, "The organism gains a metabolism") Read CAL-ALPHA-0-Boundary.md declares the exact reservoir-coupled family and its admission gates. CAL-ALPHA-0-Result.md records eight exact cases in which the reservoir thermometer T_R = lambda / ln(b) and the unique rate-derived temperature T_LDB agree, plus nineteen preregistered controls. CAL-ENDO-1-Boundary.md declares the adaptive construction, the hidden traffic thermometer, the repair episodes, and the controls. CAL-ENDO-1-Result.md records three adaptive graphs that begin without a temperature and build shell counts 1, b, b^2, b^3 for b = 2, 3 and 4. A reciprocal sector hidden from the builder recovers the same temperature, and every declared repairable defect is restored. All fifteen gates and all twenty-two controls returned their required classification. Inspect and run source/xypher-alpha-tau-proof/ and source/xypher-endogenous-thermodynamics-proof/ are the dependency-free Rust crates that produced those results. RUN.txt gives the commands and the expected results. Provenance Every file except README.txt, RUN.txt and SHA256SUMS is an exact copy of the original at thaim commit 93f14e7d: research/physics/derivable/xypher-alpha-tau-constitutive-boundary.md research/physics/derivable/xypher-alpha-tau-constitutive-result.md research/physics/derivable/xypher-endogenous-thermodynamics-boundary.md research/physics/derivable/xypher-endogenous-thermodynamics-result.md research/physics/xypher-alpha-tau-proof/ research/physics/xypher-endogenous-thermodynamics-proof/ The endogenous crate carries its own FROZEN-SOURCE.sha256, recorded before execution. Frozen files keep their historical identifiers, including TAU for the receipt now called THAIM and Praxor for the Praxion. Scope Both are exact finite constructions, not fitted simulations. No random seed, numerical tolerance or trajectory length chooses the temperature. CAL-ALPHA-0 shows that, in its declared family, the reservoir relation is the operational temperature and the receipt formula is not an equation of state. It does not establish a network-size scaling law, THAIM as heat or work, or a joule calibration. CAL-ENDO-1 shows that adaptive digital graphs can build and repair the energy-multiplicity relation that grounds their own temperature. Its alphabet, construction grammar, energy quantum and lawful rewrites are designed rather than discovered, and the grammar fixes b. Repair is a finite driven episode drawing on a named work store. The future-entropy readout Delta S_tau is not identified with the state-count entropy used here, and THAIM and Xi are not instantiated. The next question, stated in the result, is whether generic adaptive dynamics select such a grammar without having it installed. Hashes SHA256SUMS covers this directory except the checksum file itself.