The Scale, Printed at Last: The Gravitational Peccei–Quinn Realisation, Priced from the Full Text and Placed

Full-text pricing of Lattanzi and Mercuri, arXiv:0911.2698 (item PQ-GRAV, opened by packet #547, which could price the bridge only from its numeral-free abstract). The full text was fetched openly (arXiv abstract page and HTML v2, 2026-11-03; fetch only) and gated against the abstract record #547 verified. Extracted and placed in #47/#232's census table as a third Peccei-Quinn realisation (gravitational, neither KSVZ nor DFSZ): B4 predicted scale f_a = 1.98 x 10^18 GeV, theory-fixed as 2/sqrt(6k) with 8piG = k; axion mass 3.04 x 10^-12 eV. B5 dark-matter share priced as the printed condition: all of the dark matter iff the initial misalignment angle theta_i is about 1.2 x 10^-4, share (theta_i/1.2 x 10^-4)^2, theta_i <= 1.2 x 10^-4 required. B6 tensor-to-scalar bound r < 1.4 x 10^-9 via H_I <~ 10^10 GeV from the isocurvature constraint. The requested photon coupling g_gamma is NOT PRINTED anywhere in the full text (the paper fixes its fermion couplings via Nieh-Yan charges X_i = 1 and prints only a DFSZ-equivalence sentence scoped to astrophysical limits), so no haloscope band is quoted for or against the realisation; its mass in any case sits some six orders below every band #232 prices. Class Peccei-Quinn stands alive against the unmoved floor |theta_bar| < 9 x 10^-11; KSVZ and DFSZ rows unchanged. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.