No fixed period fits 14 published TOI-4504 c transit times within 48 hours

A fixed period can lose transit timing information in an interacting planet system. We find the smallest common time window for all 14 measured centers of TOI-4504 c in Table 2 of Almenara et al., arXiv 2603.05720 version 1. We retain the published cycle numbers. Exact fractions prove a minimum half-width of 48.568752 hours. Three events give the lower bound, and one fitted clock meets it for every center. The seven published d centers need a minimum half-width of 2.611029 hours. If each true time lies within three times its larger quoted error width plus printed rounding, the c lower bound remains 48.356016 hours. A separate slope-interval program checks the result. We inspect original TESS flux for the six events that set the bounds. Direct linear use of the default NASA catalog fields gives larger misses. The package contains code, original inputs, source hashes, exact certificates, figures, and offline instructions. Large timing changes in this system were known. This result tests the supplied times; it does not report a new planet or guarantee a future observing window.

TOI-4504 · transit timing variations · TESS · linear ephemeris · observation planning · exact arithmetic · uniform approximation · reproducible research