Measurements of the atomic hydrogen (HI) properties of high-redshift galaxies are critical to understanding the decline in the star-formation rate (SFR) density of the Universe after its peak Gyr ago. Here, we use hours of observations with the upgraded Giant Metrewave Radio Telescope to measure the dependence of the average HI mass of star-forming galaxies at on their average stellar mass and redshift, by stacking their HI 21 cm emission signals. We divide our sample of 11,419 main-sequence galaxies at into two stellar-mass () subsamples, with and , and obtain clear detections, at significance, of the stacked HI 21 cm emission in both subsamples. We find that galaxies with , which dominate the decline in the cosmic SFR density at , have HI reservoirs that can sustain their SFRs for only a short period, Gyr, unless their HI is replenished via accretion. We also stack the HI 21 cm emission from galaxies in two redshift subsamples, at and , again obtaining clear detections of the stacked HI 21 cm emission signals, at significance in both subsamples. We find that the average HI mass of galaxies with $\langle M_* \rangle\approx10^{10} M_\odot\approx1(33.6\pm6.4) \times 10^9 M_\odot\langle z\rangle\approx1.3(10.6\pm1.9)\times10^9 M_\odot\langle z\rangle\approx1.0$, i.e. by a factor . We thus find direct evidence that accretion of HI onto star-forming galaxies at is insufficient to replenish their HI reservoirs and sustain their SFRs, thus resulting in the decline in the cosmic SFR density 8 billion years ago.

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