From b83b0879815d4ac7f8edac9ccaadf4dbaa8f5dd3 Mon Sep 17 00:00:00 2001
From: Jacob Lee <jacob@phantom.app>
Date: Mon, 6 Oct 2025 18:32:35 +0000
Subject: [PATCH] feat(jose-jwa): convert from ECDSA to Signing algorithms

---
 Cargo.lock                   | 413 +++++++++++++++++++++++++++--------
 jose-jwa/Cargo.toml          |  11 +
 jose-jwa/src/crypto/ecdsa.rs |  30 +++
 jose-jwa/src/crypto/mod.rs   |   9 +
 jose-jwa/src/lib.rs          |  27 ++-
 5 files changed, 402 insertions(+), 88 deletions(-)
 create mode 100644 jose-jwa/src/crypto/ecdsa.rs
 create mode 100644 jose-jwa/src/crypto/mod.rs

diff --git a/Cargo.lock b/Cargo.lock
index 837bfc8..a59cb5b 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -4,9 +4,9 @@ version = 4
 
 [[package]]
 name = "autocfg"
-version = "1.1.0"
+version = "1.5.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "d468802bab17cbc0cc575e9b053f41e72aa36bfa6b7f55e3529ffa43161b97fa"
+checksum = "c08606f8c3cbf4ce6ec8e28fb0014a2c086708fe954eaa885384a6165172e7e8"
 
 [[package]]
 name = "base16ct"
@@ -37,9 +37,9 @@ dependencies = [
 
 [[package]]
 name = "cfg-if"
-version = "1.0.0"
+version = "1.0.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "baf1de4339761588bc0619e3cbc0120ee582ebb74b53b4efbf79117bd2da40fd"
+checksum = "2fd1289c04a9ea8cb22300a459a72a385d7c73d3259e2ed7dcb2af674838cfa9"
 
 [[package]]
 name = "const-oid"
@@ -49,9 +49,9 @@ checksum = "0dabb6555f92fb9ee4140454eb5dcd14c7960e1225c6d1a6cc361f032947713e"
 
 [[package]]
 name = "crypto-bigint"
-version = "0.7.0-rc.4"
+version = "0.7.0-rc.8"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "7c069823f41bdc75e99546bfd59eb1ed27d69dc720e5c949fe502b82926f8448"
+checksum = "4113edbc9f68c0a64d5b911f803eb245d04bb812680fd56776411f69c670f3e0"
 dependencies = [
  "hybrid-array",
  "num-traits",
@@ -72,9 +72,9 @@ dependencies = [
 
 [[package]]
 name = "crypto-primes"
-version = "0.7.0-pre.1"
+version = "0.7.0-pre.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "ae744b9f528151f8c440cf67498f24d2d1ac0ab536b5ce7b1f87a7a5961bd1c1"
+checksum = "25f2523fbb68811c8710829417ad488086720a6349e337c38d12fa81e09e50bf"
 dependencies = [
  "crypto-bigint",
  "libm",
@@ -83,9 +83,9 @@ dependencies = [
 
 [[package]]
 name = "der"
-version = "0.8.0-rc.8"
+version = "0.8.0-rc.9"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "7050e8041c28720851f7db83183195b6acf375bb7bb28e3b86f0fe6cbd69459d"
+checksum = "e9d8dd2f26c86b27a2a8ea2767ec7f9df7a89516e4794e54ac01ee618dda3aa4"
 dependencies = [
  "const-oid",
  "pem-rfc7468",
@@ -94,20 +94,31 @@ dependencies = [
 
 [[package]]
 name = "digest"
-version = "0.11.0-rc.1"
+version = "0.11.0-rc.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "3a4aae35a0fcbe22ff1be50fe96df72002d5a4a6fb4aae9193cf2da0daa36da2"
+checksum = "dac89f8a64533a9b0eaa73a68e424db0fb1fd6271c74cc0125336a05f090568d"
 dependencies = [
  "block-buffer",
  "const-oid",
  "crypto-common",
 ]
 
+[[package]]
+name = "displaydoc"
+version = "0.2.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "97369cbbc041bc366949bc74d34658d6cda5621039731c6310521892a3a20ae0"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn",
+]
+
 [[package]]
 name = "elliptic-curve"
-version = "0.14.0-rc.13"
+version = "0.14.0-rc.15"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "3b95fd42abd85018a59f5dbe05551e9eed19edfd1182a415cd98f90ca5af1422"
+checksum = "2e3be87c458d756141f3b6ee188828132743bf90c7d14843e2835d6443e5fb03"
 dependencies = [
  "base16ct 0.3.0",
  "crypto-bigint",
@@ -134,11 +145,17 @@ dependencies = [
  "subtle",
 ]
 
+[[package]]
+name = "fiat-crypto"
+version = "0.3.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "64cd1e32ddd350061ae6edb1b082d7c54915b5c672c389143b9a63403a109f24"
+
 [[package]]
 name = "form_urlencoded"
-version = "1.2.0"
+version = "1.2.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "a62bc1cf6f830c2ec14a513a9fb124d0a213a629668a4186f329db21fe045652"
+checksum = "cb4cb245038516f5f85277875cdaa4f7d2c9a0fa0468de06ed190163b1581fcf"
 dependencies = [
  "percent-encoding",
 ]
@@ -162,29 +179,127 @@ checksum = "bcaaec4551594c969335c98c903c1397853d4198408ea609190f420500f6be71"
 
 [[package]]
 name = "hybrid-array"
-version = "0.4.0"
+version = "0.4.5"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "6fe39a812f039072707ce38020acbab2f769087952eddd9e2b890f37654b2349"
+checksum = "f471e0a81b2f90ffc0cb2f951ae04da57de8baa46fa99112b062a5173a5088d0"
 dependencies = [
+ "subtle",
  "typenum",
  "zeroize",
 ]
 
+[[package]]
+name = "icu_collections"
+version = "2.0.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "200072f5d0e3614556f94a9930d5dc3e0662a652823904c3a75dc3b0af7fee47"
+dependencies = [
+ "displaydoc",
+ "potential_utf",
+ "yoke",
+ "zerofrom",
+ "zerovec",
+]
+
+[[package]]
+name = "icu_locale_core"
+version = "2.0.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0cde2700ccaed3872079a65fb1a78f6c0a36c91570f28755dda67bc8f7d9f00a"
+dependencies = [
+ "displaydoc",
+ "litemap",
+ "tinystr",
+ "writeable",
+ "zerovec",
+]
+
+[[package]]
+name = "icu_normalizer"
+version = "2.0.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "436880e8e18df4d7bbc06d58432329d6458cc84531f7ac5f024e93deadb37979"
+dependencies = [
+ "displaydoc",
+ "icu_collections",
+ "icu_normalizer_data",
+ "icu_properties",
+ "icu_provider",
+ "smallvec",
+ "zerovec",
+]
+
+[[package]]
+name = "icu_normalizer_data"
+version = "2.0.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "00210d6893afc98edb752b664b8890f0ef174c8adbb8d0be9710fa66fbbf72d3"
+
+[[package]]
+name = "icu_properties"
+version = "2.0.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "016c619c1eeb94efb86809b015c58f479963de65bdb6253345c1a1276f22e32b"
+dependencies = [
+ "displaydoc",
+ "icu_collections",
+ "icu_locale_core",
+ "icu_properties_data",
+ "icu_provider",
+ "potential_utf",
+ "zerotrie",
+ "zerovec",
+]
+
+[[package]]
+name = "icu_properties_data"
+version = "2.0.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "298459143998310acd25ffe6810ed544932242d3f07083eee1084d83a71bd632"
+
+[[package]]
+name = "icu_provider"
+version = "2.0.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "03c80da27b5f4187909049ee2d72f276f0d9f99a42c306bd0131ecfe04d8e5af"
+dependencies = [
+ "displaydoc",
+ "icu_locale_core",
+ "stable_deref_trait",
+ "tinystr",
+ "writeable",
+ "yoke",
+ "zerofrom",
+ "zerotrie",
+ "zerovec",
+]
+
 [[package]]
 name = "idna"
-version = "0.4.0"
+version = "1.1.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "7d20d6b07bfbc108882d88ed8e37d39636dcc260e15e30c45e6ba089610b917c"
+checksum = "3b0875f23caa03898994f6ddc501886a45c7d3d62d04d2d90788d47be1b1e4de"
 dependencies = [
- "unicode-bidi",
- "unicode-normalization",
+ "idna_adapter",
+ "smallvec",
+ "utf8_iter",
+]
+
+[[package]]
+name = "idna_adapter"
+version = "1.2.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "3acae9609540aa318d1bc588455225fb2085b9ed0c4f6bd0d9d5bcd86f1a0344"
+dependencies = [
+ "icu_normalizer",
+ "icu_properties",
 ]
 
 [[package]]
 name = "itoa"
-version = "1.0.9"
+version = "1.0.15"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "af150ab688ff2122fcef229be89cb50dd66af9e01a4ff320cc137eecc9bacc38"
+checksum = "4a5f13b858c8d314ee3e8f639011f7ccefe71f97f96e50151fb991f267928e2c"
 
 [[package]]
 name = "jose-b64"
@@ -201,6 +316,10 @@ dependencies = [
 name = "jose-jwa"
 version = "0.2.0-pre"
 dependencies = [
+ "k256",
+ "p256",
+ "p384",
+ "p521",
  "serde",
  "serde_json",
 ]
@@ -248,8 +367,8 @@ version = "0.1.0-pre"
 
 [[package]]
 name = "k256"
-version = "0.14.0-pre.9"
-source = "git+https://github.com/RustCrypto/elliptic-curves.git#aba09809dd4e0c4f591ffa7285c77165f8e509bd"
+version = "0.14.0-pre.11"
+source = "git+https://github.com/RustCrypto/elliptic-curves.git#73e250d8b63a01e0052c876aed7e05584a3ee1c9"
 dependencies = [
  "cfg-if",
  "elliptic-curve",
@@ -261,11 +380,17 @@ version = "0.2.15"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f9fbbcab51052fe104eb5e5d351cf728d30a5be1fe14d9be8a3b097481fb97de"
 
+[[package]]
+name = "litemap"
+version = "0.8.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "241eaef5fd12c88705a01fc1066c48c4b36e0dd4377dcdc7ec3942cea7a69956"
+
 [[package]]
 name = "memchr"
-version = "2.7.5"
+version = "2.7.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "32a282da65faaf38286cf3be983213fcf1d2e2a58700e808f83f4ea9a4804bc0"
+checksum = "f52b00d39961fc5b2736ea853c9cc86238e165017a493d1d5c8eac6bdc4cc273"
 
 [[package]]
 name = "num-traits"
@@ -278,8 +403,8 @@ dependencies = [
 
 [[package]]
 name = "p256"
-version = "0.14.0-pre.9"
-source = "git+https://github.com/RustCrypto/elliptic-curves.git#aba09809dd4e0c4f591ffa7285c77165f8e509bd"
+version = "0.14.0-pre.11"
+source = "git+https://github.com/RustCrypto/elliptic-curves.git#73e250d8b63a01e0052c876aed7e05584a3ee1c9"
 dependencies = [
  "elliptic-curve",
  "primefield",
@@ -288,20 +413,21 @@ dependencies = [
 
 [[package]]
 name = "p384"
-version = "0.14.0-pre.9"
-source = "git+https://github.com/RustCrypto/elliptic-curves.git#aba09809dd4e0c4f591ffa7285c77165f8e509bd"
+version = "0.14.0-pre.11"
+source = "git+https://github.com/RustCrypto/elliptic-curves.git#73e250d8b63a01e0052c876aed7e05584a3ee1c9"
 dependencies = [
  "elliptic-curve",
+ "fiat-crypto",
  "primefield",
  "primeorder",
 ]
 
 [[package]]
 name = "p521"
-version = "0.14.0-pre.9"
-source = "git+https://github.com/RustCrypto/elliptic-curves.git#aba09809dd4e0c4f591ffa7285c77165f8e509bd"
+version = "0.14.0-pre.11"
+source = "git+https://github.com/RustCrypto/elliptic-curves.git#73e250d8b63a01e0052c876aed7e05584a3ee1c9"
 dependencies = [
- "base16ct 0.2.0",
+ "base16ct 0.3.0",
  "elliptic-curve",
  "primefield",
  "primeorder",
@@ -318,24 +444,33 @@ dependencies = [
 
 [[package]]
 name = "percent-encoding"
-version = "2.3.0"
+version = "2.3.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "9b2a4787296e9989611394c33f193f676704af1686e70b8f8033ab5ba9a35a94"
+checksum = "9b4f627cb1b25917193a259e49bdad08f671f8d9708acfd5fe0a8c1455d87220"
 
 [[package]]
 name = "pkcs8"
-version = "0.11.0-rc.6"
+version = "0.11.0-rc.7"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "c53e5d0804fa4070b1b2a5b320102f2c1c094920a7533d5d87c2630609bcbd34"
+checksum = "93eac55f10aceed84769df670ea4a32d2ffad7399400d41ee1c13b1cd8e1b478"
 dependencies = [
  "der",
  "spki",
 ]
 
+[[package]]
+name = "potential_utf"
+version = "0.1.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "84df19adbe5b5a0782edcab45899906947ab039ccf4573713735ee7de1e6b08a"
+dependencies = [
+ "zerovec",
+]
+
 [[package]]
 name = "primefield"
-version = "0.14.0-pre.4"
-source = "git+https://github.com/RustCrypto/elliptic-curves.git#aba09809dd4e0c4f591ffa7285c77165f8e509bd"
+version = "0.14.0-pre.6"
+source = "git+https://github.com/RustCrypto/elliptic-curves.git#73e250d8b63a01e0052c876aed7e05584a3ee1c9"
 dependencies = [
  "crypto-bigint",
  "ff",
@@ -346,9 +481,9 @@ dependencies = [
 
 [[package]]
 name = "primeorder"
-version = "0.14.0-pre.7"
+version = "0.14.0-pre.9"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "af12dd34fc62d04416de85af032f4595369437fb7b0143d36ae60cecaf5cdddf"
+checksum = "1c36e8766fcd270fa9c665b9dc364f570695f5a59240949441b077a397f15b74"
 dependencies = [
  "elliptic-curve",
 ]
@@ -364,9 +499,9 @@ dependencies = [
 
 [[package]]
 name = "quote"
-version = "1.0.40"
+version = "1.0.41"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "1885c039570dc00dcb4ff087a89e185fd56bae234ddc7f056a945bf36467248d"
+checksum = "ce25767e7b499d1b604768e7cde645d14cc8584231ea6b295e9c9eb22c02e1d1"
 dependencies = [
  "proc-macro2",
 ]
@@ -379,9 +514,9 @@ checksum = "99d9a13982dcf210057a8a78572b2217b667c3beacbf3a0d8b454f6f82837d38"
 
 [[package]]
 name = "rsa"
-version = "0.10.0-rc.6"
+version = "0.10.0-rc.9"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "12c09fc7922fb8b7de31cc809df908e30e0ed46eb33046c6e1e438ef8ec3466b"
+checksum = "bf8955ab399f6426998fde6b76ae27233cce950705e758a6c17afd2f6d0e5d52"
 dependencies = [
  "const-oid",
  "crypto-bigint",
@@ -395,15 +530,15 @@ dependencies = [
 
 [[package]]
 name = "ryu"
-version = "1.0.15"
+version = "1.0.20"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "1ad4cc8da4ef723ed60bced201181d83791ad433213d8c24efffda1eec85d741"
+checksum = "28d3b2b1366ec20994f1fd18c3c594f05c5dd4bc44d8bb0c1c632c8d6829481f"
 
 [[package]]
 name = "sec1"
-version = "0.8.0-rc.9"
+version = "0.8.0-rc.10"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "f5e67a3c9fb9a8f065af9fa30d65812fcc16a66cbf911eff1f6946957ce48f16"
+checksum = "1dff52f6118bc9f0ac974a54a639d499ac26a6cad7a6e39bc0990c19625e793b"
 dependencies = [
  "base16ct 0.3.0",
  "der",
@@ -414,18 +549,28 @@ dependencies = [
 
 [[package]]
 name = "serde"
-version = "1.0.219"
+version = "1.0.228"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "9a8e94ea7f378bd32cbbd37198a4a91436180c5bb472411e48b5ec2e2124ae9e"
+dependencies = [
+ "serde_core",
+ "serde_derive",
+]
+
+[[package]]
+name = "serde_core"
+version = "1.0.228"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "5f0e2c6ed6606019b4e29e69dbaba95b11854410e5347d525002456dbbb786b6"
+checksum = "41d385c7d4ca58e59fc732af25c3983b67ac852c1a25000afe1175de458b67ad"
 dependencies = [
  "serde_derive",
 ]
 
 [[package]]
 name = "serde_derive"
-version = "1.0.219"
+version = "1.0.228"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "5b0276cf7f2c73365f7157c8123c21cd9a50fbbd844757af28ca1f5925fc2a00"
+checksum = "d540f220d3187173da220f885ab66608367b6574e925011a9353e4badda91d79"
 dependencies = [
  "proc-macro2",
  "quote",
@@ -434,14 +579,15 @@ dependencies = [
 
 [[package]]
 name = "serde_json"
-version = "1.0.142"
+version = "1.0.145"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "030fedb782600dcbd6f02d479bf0d817ac3bb40d644745b769d6a96bc3afc5a7"
+checksum = "402a6f66d8c709116cf22f558eab210f5a50187f702eb4d7e5ef38d9a7f1c79c"
 dependencies = [
  "itoa",
  "memchr",
  "ryu",
  "serde",
+ "serde_core",
 ]
 
 [[package]]
@@ -466,14 +612,20 @@ dependencies = [
 
 [[package]]
 name = "signature"
-version = "3.0.0-rc.3"
+version = "3.0.0-rc.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "39195ff4c0dc41c93e123825ca1f0d11b856df8b26d5fe140a522355632c4345"
+checksum = "fc280a6ff65c79fbd6622f64d7127f32b85563bca8c53cd2e9141d6744a9056d"
 dependencies = [
  "digest",
  "rand_core",
 ]
 
+[[package]]
+name = "smallvec"
+version = "1.15.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "67b1b7a3b5fe4f1376887184045fcf45c69e92af734b7aaddc05fb777b6fbd03"
+
 [[package]]
 name = "spki"
 version = "0.8.0-rc.4"
@@ -484,6 +636,12 @@ dependencies = [
  "der",
 ]
 
+[[package]]
+name = "stable_deref_trait"
+version = "1.2.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "a8f112729512f8e442d81f95a8a7ddf2b7c6b8a1a6f509a95864142b30cab2d3"
+
 [[package]]
 name = "subtle"
 version = "2.6.1"
@@ -502,64 +660,145 @@ dependencies = [
 ]
 
 [[package]]
-name = "tinyvec"
-version = "1.6.0"
+name = "synstructure"
+version = "0.13.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "87cc5ceb3875bb20c2890005a4e226a4651264a5c75edb2421b52861a0a0cb50"
+checksum = "728a70f3dbaf5bab7f0c4b1ac8d7ae5ea60a4b5549c8a5914361c99147a709d2"
 dependencies = [
- "tinyvec_macros",
+ "proc-macro2",
+ "quote",
+ "syn",
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+ "zerovec",
+]
 
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+ "serde",
+]
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+ "serde",
+ "stable_deref_trait",
+ "yoke-derive",
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 dependencies = [
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- "idna",
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- "serde",
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+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e7aa2bd55086f1ab526693ecbe444205da57e25f4489879da80635a46d90e73b"
+dependencies = [
+ "yoke",
+ "zerofrom",
+ "zerovec-derive",
+]
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+[[package]]
+name = "zerovec-derive"
+version = "0.11.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5b96237efa0c878c64bd89c436f661be4e46b2f3eff1ebb976f7ef2321d2f58f"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn",
+]
diff --git a/jose-jwa/Cargo.toml b/jose-jwa/Cargo.toml
index e7690e4..5d034cb 100644
--- a/jose-jwa/Cargo.toml
+++ b/jose-jwa/Cargo.toml
@@ -17,9 +17,20 @@ readme = "README.md"
 edition = "2024"
 rust-version = "1.85"
 
+[features]
+default = ["crypto"]
+crypto = ["ecdsa"]
+ecdsa = ["p256", "p384", "p521", "k256"]
+
 [dependencies]
 serde = { version = "1.0.185", default-features = false, features = ["alloc", "derive"] }
 
+# optional dependencies
+p256 = { version = "0.14.0-pre.9", default-features = false, optional = true }
+p384 = { version = "0.14.0-pre.9", default-features = false, optional = true }
+p521 = { version = "0.14.0-pre.9", default-features = false, optional = true }
+k256 = { version = "0.14.0-pre.9", default-features = false, optional = true }
+
 [dev-dependencies]
 serde_json = "1.0.96"
 
diff --git a/jose-jwa/src/crypto/ecdsa.rs b/jose-jwa/src/crypto/ecdsa.rs
new file mode 100644
index 0000000..286acfb
--- /dev/null
+++ b/jose-jwa/src/crypto/ecdsa.rs
@@ -0,0 +1,30 @@
+#![cfg(any(feature = "p256", feature = "p384", feature = "p521", feature = "k256"))]
+use crate::Signing;
+
+#[cfg(feature = "p256")]
+impl From<p256::NistP256> for Signing {
+    fn from(_alg: p256::NistP256) -> Self {
+        Signing::Es256
+    }
+}
+
+#[cfg(feature = "k256")]
+impl From<k256::Secp256k1> for Signing {
+    fn from(_alg: k256::Secp256k1) -> Self {
+        Signing::Es256K
+    }
+}
+
+#[cfg(feature = "p384")]
+impl From<p384::NistP384> for Signing {
+    fn from(_alg: p384::NistP384) -> Self {
+        Signing::Es384
+    }
+}
+
+#[cfg(feature = "p521")]
+impl From<p521::NistP521> for Signing {
+    fn from(_alg: p521::NistP521) -> Self {
+        Signing::Es512
+    }
+}
diff --git a/jose-jwa/src/crypto/mod.rs b/jose-jwa/src/crypto/mod.rs
new file mode 100644
index 0000000..db938aa
--- /dev/null
+++ b/jose-jwa/src/crypto/mod.rs
@@ -0,0 +1,9 @@
+#![cfg(any(
+    feature = "ecdsa",
+    feature = "p256",
+    feature = "p384",
+    feature = "p521",
+    feature = "k256"
+))]
+
+mod ecdsa;
diff --git a/jose-jwa/src/lib.rs b/jose-jwa/src/lib.rs
index fd1509b..077e716 100644
--- a/jose-jwa/src/lib.rs
+++ b/jose-jwa/src/lib.rs
@@ -19,6 +19,8 @@
     unused_qualifications
 )]
 
+mod crypto;
+
 use core::fmt;
 
 use serde::{Deserialize, Serialize};
@@ -99,9 +101,32 @@ pub enum Signing {
     Null,
 }
 
+impl Signing {
+    /// Returns the string representation of this signing algorithm.
+    pub fn as_str(&self) -> &str {
+        match self {
+            Self::EdDsa => "EdDSA",
+            Self::Es256 => "ES256",
+            Self::Es256K => "ES256K",
+            Self::Es384 => "ES384",
+            Self::Es512 => "ES512",
+            Self::Hs256 => "HS256",
+            Self::Hs384 => "HS384",
+            Self::Hs512 => "HS512",
+            Self::Ps256 => "PS256",
+            Self::Ps384 => "PS384",
+            Self::Ps512 => "PS512",
+            Self::Rs256 => "RS256",
+            Self::Rs384 => "RS384",
+            Self::Rs512 => "RS512",
+            Self::Null => "none",
+        }
+    }
+}
+
 impl fmt::Display for Signing {
     fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
-        self.serialize(f)
+        f.write_str(self.as_str())
     }
 }