diff --git a/.github/workflows/release.yml b/.github/workflows/release.yml
index 1f6202d..4d2e5a1 100644
--- a/.github/workflows/release.yml
+++ b/.github/workflows/release.yml
@@ -121,7 +121,7 @@ jobs:
     runs-on: ubuntu-latest
     environment:
       name: release
-      url: https://pypi.org/p/pyproject-fmt
+      url: https://pypi.org/p/pyproject-fmt/rust
     permissions:
       id-token: write
     if: "startsWith(github.ref, 'refs/tags/')"
diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index 7740674..92aae01 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -20,7 +20,7 @@ repos:
       - id: tox-ini-fmt
         args: [ "-p", "fix" ]
   - repo: https://github.com/tox-dev/pyproject-fmt
-    rev: "2.0.1"
+    rev: "2.0.3"
     hooks:
       - id: pyproject-fmt
   - repo: https://github.com/astral-sh/ruff-pre-commit
diff --git a/Cargo.lock b/Cargo.lock
index b6e5a81..5972274 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -402,9 +402,9 @@ dependencies = [
 
 [[package]]
 name = "pep508_rs"
-version = "0.5.0"
+version = "0.6.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "fa3d4bcbc98074b50cdfd37e7ca597aec4d816252af135a7e3ad2e67d1ad6f66"
+checksum = "581c27e97a3f38c5d691962af7da93c2672b5227d59cf165b87a9b1fd53dd724"
 dependencies = [
  "derivative",
  "once_cell",
@@ -520,10 +520,11 @@ dependencies = [
 
 [[package]]
 name = "pyproject-fmt-rust"
-version = "1.0.4"
+version = "1.0.6"
 dependencies = [
  "indoc",
  "lexical-sort",
+ "pep440_rs",
  "pep508_rs",
  "pyo3",
  "regex",
diff --git a/Cargo.toml b/Cargo.toml
index 582f538..c779c61 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -1,6 +1,6 @@
 [package]
 name = "pyproject-fmt-rust"
-version = "1.0.5"
+version = "1.0.6"
 description = "Format pyproject.toml files"
 repository = "https://github.com/tox-dev/pyproject-fmt"
 readme = "README.md"
@@ -15,7 +15,8 @@ crate-type = ["cdylib"]
 [dependencies]
 taplo = { version = "0.13.0" }                          # formatter
 pyo3 = { version = "0.21.2", features = ["abi3-py38"] } # integration with Python
-pep508_rs = { version = "0.5.0" }
+pep440_rs = { version = "0.6.0" }
+pep508_rs = { version = "0.6.0" }
 lexical-sort = { version = "0.3.1" }
 regex = { version = "1.10.4" }
 
diff --git a/rust/src/helpers/pep508.rs b/rust/src/helpers/pep508.rs
index fbe8243..4710001 100644
--- a/rust/src/helpers/pep508.rs
+++ b/rust/src/helpers/pep508.rs
@@ -1,6 +1,7 @@
 use std::fmt::Write;
 use std::str::FromStr;
 
+use pep440_rs::Operator;
 use pep508_rs::{MarkerTree, Requirement, VersionOrUrl};
 
 pub fn format_requirement(value: &str, keep_full_version: bool) -> String {
@@ -23,7 +24,7 @@ pub fn format_requirement(value: &str, keep_full_version: bool) -> String {
                 let extra_count = v.len() - 1;
                 for (at, spec) in v.iter().enumerate() {
                     let mut spec_repr = format!("{spec}");
-                    if !keep_full_version {
+                    if !keep_full_version && spec.operator() != &Operator::TildeEqual {
                         loop {
                             let propose = spec_repr.strip_suffix(".0");
                             if propose.is_none() {
@@ -39,7 +40,7 @@ pub fn format_requirement(value: &str, keep_full_version: bool) -> String {
                 }
             }
             VersionOrUrl::Url(u) => {
-                write!(&mut result, "{u}").unwrap();
+                write!(&mut result, " @ {u}").unwrap();
             }
         }
     }
@@ -109,7 +110,16 @@ mod tests {
     "requests[security,tests]>=2.0.0,==2.8.*; (os_name=='a' or os_name=='b') and os_name=='c' and python_version>'3.8'",
     true
     )]
+    #[case::do_not_strip_tilda("a~=3.0.0", "a~=3.0.0", false)]
+    #[case::url(
+        " pip   @   https://github.com/pypa/pip/archive/1.3.1.zip#sha1=da9234ee9982d4bbb3c72346a6de940a148ea686 ",
+        "pip @ https://github.com/pypa/pip/archive/1.3.1.zip#sha1=da9234ee9982d4bbb3c72346a6de940a148ea686",
+        true
+    )]
     fn test_format_requirement(#[case] start: &str, #[case] expected: &str, #[case] keep_full_version: bool) {
-        assert_eq!(format_requirement(start, keep_full_version), expected);
+        let got = format_requirement(start, keep_full_version);
+        assert_eq!(got, expected);
+        // formatting remains stable
+        assert_eq!(format_requirement(got.as_str(), keep_full_version), expected);
     }
 }