Free survey constants retain at least 67% of additive magnitude dipole information in Pantheon+ at zHD > 0.0233
We test how constant brightness shifts between surveys affect an additive sky dipole in Pantheon+. The primary sample has 1,365 non-calibrator observations at zHD > 0.0233. We use the full released covariance and fit a global magnitude constant and a local matter-density term. Free constants for all 20 survey IDs retain 67.49% to 93.38% of the baseline dipole Fisher information in every parameter direction. If each survey shift has absolute value at most 0.010 magnitude, the largest fitted dipole change is 0.0101276 magnitude. Exhaustive cube-vertex enumeration and an independent convex-hull calculation give the same bound. The primary residual dipole is consistent with zero under the tested Gaussian linear model, with nominal p = 0.515. A nonlinear density fit changes each dipole component by at most 0.0164 millimagnitude. Redshift and covariance controls are reported. The chosen shift bound is a sensitivity scale, not a measured calibration uncertainty. The result does not establish cosmic anisotropy and does not test velocity-model errors. We release response matrices, numerical witnesses, figures, code, input hashes, and reproduction instructions.
Pantheon+ · Type Ia supernovae · dipole · survey calibration · covariance · sensitivity analysis · cosmic isotropy · reproducible research
References
5- usesdoi:10.3847/1538-4357/ac8b7a
We use the public Pantheon+ sample and its observation records.
- usesdoi:10.3847/1538-4357/ac8e04
We use the released corrected magnitudes and covariance for a conditional sensitivity test.
- doi:10.3847/1538-4357/acad80
This prior study treats constant survey shifts for scalar cosmological parameters. We test their directional dipole response.
- doi:10.1140/epjc/s10052-026-16465-7
This prior study tests survey dependence of Pantheon+ anisotropy estimates. Its multiplicative distance-modulus dipole differs from our additive magnitude dipole.
- doi:10.1093/mnras/staf2048
This prior study shows how local brightness dipoles can describe velocity-flow features. It limits a physical interpretation of our residual fit.
Cited by
2 publicationsPublic catalog entries on Sciscape.
- usesA linear velocity fit at 0.015 ≤ zCMB < 0.04 improves predictions at 0.04 ≤ zCMB < 0.10 in original Pantheon+ data with fixed covariance
Its free survey constants motivate the calibration control. We test prediction of a velocity response across disjoint shells rather than an additive magnitude dipole.
- usesFree field constants leave at most 4.13% of additive magnitude dipole information in 1,623 DES events with fixed Dovekie covariance
We apply its additive-dipole information quotient and bounded linear response design to a new public sample, DES-Dovekie, with field-label and region constants. Our code is written independently.