EX-32.1 4 ck0001534133-ex32_1.htm EX-32.1

Exhibit 32.1

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Quarterly Report of CalciMedica, Inc. (the “Company”) on Form 10-Q for the fiscal quarter ended September 30, 2025 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I certify, pursuant to the requirement set forth in Rule 13a-14(b) of the Securities Exchange Act of 1934, as amended (the “Exchange Act”) and 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that to the best of my knowledge:

| (1) | The Report fully complies with the requirements of section 13(a) or 15(d) of the Exchange Act; and
| (2) | The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.
Date: November 12, 2025 | By: | /s/ A. Rachel Leheny
|  | A. Rachel Leheny, Ph.D. Chief Executive Officer (Principal Executive Officer)