diff --git a/l1-contracts/script/registration_data.json b/l1-contracts/script/registration_data.json
index 1a92575caa7a..4ac3fb8d4787 100644
--- a/l1-contracts/script/registration_data.json
+++ b/l1-contracts/script/registration_data.json
@@ -1,1702 +1,1702 @@
 [
-    {
-      "attester": "0xdEc08eb67aEa96cd8C2F576aEFD5b9F6bA4bc973",
-      "publicKeyInG1": {
-        "x": "0x0d8fd0af4f057a4ab0e7c55b80bcb1e624a0d319edc890a94e32ff8a49b17fd0",
-        "y": "0x288a165b8f273e46b18d308bd94980511ff1ab31cf7977524cc5100a81c639ba"
-      },
-      "publicKeyInG2": {
-        "x0": "0x189965ba927f0bdf8a00df57ca5c2f9fbb08a1c1e5ffe492d4b4c15ecefe3c16",
-        "x1": "0x0041dc6e43f797479233619b2f6da70fd3a0a6bf097a8fa256b9bc83bc309f17",
-        "y0": "0x08b4c50b72aa8ff1205d5d849d10614731fc4e17edfa920e4ee59baf96889661",
-        "y1": "0x167947af5ae7f4277b0c1f6d915c8dd6485b1898d524c5caee08da68c77fa1e1"
-      },
-      "proofOfPossession": {
-        "x": "0x2b53ce30e1ad6869f94eb6c1a0870052932babdd827bde920e0af006a3910c6e",
-        "y": "0x2a59bbc85aeb0ef42b6e22118a256b54822c9656f93b9206e5e70e35c8aad39a"
-      }
-    },
-    {
-      "attester": "0x65Df7Fe8A2Fd26805ab8d9487D548Dd70262B371",
-      "publicKeyInG1": {
-        "x": "0x13c228ed66d3336ba3a9cdd09f17dd72ebe04ee91d3b96009308e5feee87a4a9",
-        "y": "0x21b3da7ed72d72776844138fabb21537913956816338a2988916f349b40868f6"
-      },
-      "publicKeyInG2": {
-        "x0": "0x11dbb4bd7204d4c626cc09ba1a5dfdea248acc892464f379860e4d1d9b687d54",
-        "x1": "0x2ac8ad0079bbf89f1496dee77a2f33410d7d78ca48ab4a1eb9846b2ae584fe53",
-        "y0": "0x229713c0ee5720acaa5747d8e73361dfea8dd78533d59f28f76e2f94599ec9ae",
-        "y1": "0x295e82aa97fda4d7cfd6bd2b3100956825bb8c1a76432d82aa5b7600d4e7824a"
-      },
-      "proofOfPossession": {
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-        "y": "0x2e2a9bb19a2a5b73184f0b231a1b5057fcee9ad3c1c0ece27dff33d255011915"
-      }
-    },
-    {
-      "attester": "0x3B31bA671E50640DC929319f68bEC5D6Dc485Be1",
-      "publicKeyInG1": {
-        "x": "0x1a612809c5d132c776d1ee93e771e91b64e28b76c64b71fd3ddf56528b666a18",
-        "y": "0x0a41e5fce62131f347a0824426903dd96da3757991511d059c948dd4acb64084"
-      },
-      "publicKeyInG2": {
-        "x0": "0x013ef0adea24e873d1bae1a46519fe6c178f0b9707b88fbf23f4bd16de63d113",
-        "x1": "0x2147b7592cabd3ae0f0da30058abe68c38e79f3db109ec2b0a436011ecd7d574",
-        "y0": "0x0fc0d0118d8d7191613181aa8a16a5c581df40dd8c09c47a92f10b79885790a5",
-        "y1": "0x13b3c2ba6089a1f5842c94857ead8f4ffc2df381a3e2383ed6f473858b2902db"
-      },
-      "proofOfPossession": {
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-        "y": "0x224096493c053e7268ae25ed4ce325025bd2b914594fdf1b42a57fb253f9c2d1"
-      }
-    },
-    {
-      "attester": "0xD74060d019d93629f20D0de54EDD1fdda326a14A",
-      "publicKeyInG1": {
-        "x": "0x2d971aae78feaae2e7c160f57c9b0b459d1bdb4abb2db606e00e815dce03dfb3",
-        "y": "0x21f4e235a038562fa823f4621dd27ee1b2099b5f309a0900e4cb39479256586c"
-      },
-      "publicKeyInG2": {
-        "x0": "0x2f92922c2b3cf619b1731cab6ca6c7e3236acf04fbcef318f22ed6adf7e9e91a",
-        "x1": "0x08674b4d7c02a99dcada17f5d8c2f86a892c19b0dee823e880b1327217f2419a",
-        "y0": "0x0910130a51646d01be6ef2ef9150543305fbabc1ea8fd96de862eacc355eb96a",
-        "y1": "0x16e2641e6f68ae6879d3a947fbf69dcf4b02b8eee9bbd4120f08bde24b8b1c76"
-      },
-      "proofOfPossession": {
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-        "y": "0x1f1079d20304e1d6e9ecc56d5d1cff712d201ecbfb9d8a5c7de08e8ac3af5be5"
-      }
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-    {
-      "attester": "0x73B88ec8bC5e16c3D2aE879f94a53EB755Bd6a51",
-      "publicKeyInG1": {
-        "x": "0x0ecec3c57e4e1f04d910a5fe2bde493a454a33b1e1bc3610084bb466d040fbf2",
-        "y": "0x01349c15806bdcfbce6f739ca184a1c641be64c1327a28fdefc7f52ccbf0e94b"
-      },
-      "publicKeyInG2": {
-        "x0": "0x0eea15c1781b8c4217c091dd62cc1848b537711d860f21022b92a50720aa7d72",
-        "x1": "0x17a6c3f889b413f5a04c29c3c57f8cbf14c1d3cdcbf122ec850f2509f0cac346",
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-        "y1": "0x1b91a2a469dba7f9ee878b2fc1bf65e7a1edcfa7156fcad46669afdf8e2824ab"
-      },
-      "proofOfPossession": {
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-        "y": "0x03e327b53d8ab0ce355f1313b3b66d774bd3a26ca6bcfecc174a7175afaef294"
-      }
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-      "attester": "0xf528bb057E29E05252586cEFf8A1eB94fe370Cc6",
-      "publicKeyInG1": {
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-      "publicKeyInG2": {
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-        "x1": "0x2c2d3e34bf42ffc4bcc70ce8c09e6fee411fdac239253f374a62b5da94584f48",
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-      "proofOfPossession": {
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-        "y": "0x2fd5b2b56bbf47c90710279a7cfa0bd0f1648417b829c80ca7f3e8480d830749"
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-    },
-    {
-      "attester": "0xBCAD1d6F664FEe4E76e65B7e741D317a181f9084",
-      "publicKeyInG1": {
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-        "y": "0x1419f5dcf4c52cf74d1067b7d98409133aa918d4b7efa5c1cc29b4cea340a736"
-      },
-      "publicKeyInG2": {
-        "x0": "0x13b41424947c5376f48517d8a3c3c63864afcb96f47c484831f212edc7c6241c",
-        "x1": "0x26e7d72d516245bc4cb6570e896f60ab0d968663cfa192eee4010a775f66f0d3",
-        "y0": "0x0b80b2965787f1417d01c211b365fb0bacf47360dbc870bcc0c46c7a1e37f9e6",
-        "y1": "0x02510e3570171c3cb7b3b9ac708e98d865afb1c4b23ed2f39663bb6241d1c3f4"
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-      "proofOfPossession": {
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-        "y": "0x2e4cbfb1b027a1ef1e1d790e63540218ebb60e9116f8c215e7218c2d06064464"
-      }
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-      "attester": "0x47EadaC92B7bd05cd6f6Df0ff76EB9872c79d188",
-      "publicKeyInG1": {
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-        "y": "0x178e6fb12365d087dc76984e2f017270d5f5743503b8606a12def08f723da910"
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-      "publicKeyInG2": {
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-        "y1": "0x1d3f23bbb9a5589787d27296cd35763f2dddbcd30aa8a8435897835271a334ad"
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-      "proofOfPossession": {
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-    {
-      "attester": "0xdd22AD1c88948D25bb13E30D99895a7f8A943A20",
-      "publicKeyInG1": {
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-      "publicKeyInG2": {
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-        "x1": "0x18da85c577377f4434060b6dbbe296dd48301c61a4f2eb2524c3909171b96be8",
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-      "proofOfPossession": {
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-        "y": "0x181e193877e05561d9e930201b31b460469c1924ec1f991e373c245c571d46dd"
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-      "attester": "0xa1FCFa64f30120a11Df2d972665d68734B465EFd",
-      "publicKeyInG1": {
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-        "y": "0x08410720af05333302e4dcf2c0c578b1389a15eaa7c375a4130db757c377b865"
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-      "attester": "0x1E0227ac0dB196ac12893Aee81ba06cE6C319429",
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-      "proofOfPossession": {
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-      "attester": "0xA10935D01b921F543FadE4992310C8bd5AC360DD",
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-      "proofOfPossession": {
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-      "attester": "0x41A05666e1DA484986488947ea958E56D4efD108",
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-      "proofOfPossession": {
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-      "proofOfPossession": {
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-    {
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+    },
+    "proofOfPossession": {
+      "x": "0x13c9e26c172acf1965d3374b52e2863146de763b670f1e2491771a0ad07231ee",
+      "y": "0x1444b9e15c514ff2c8906638c20a03bfb5d32782bb17fe83d8b6d72d1fecb327"
+    }
+  },
+  {
+    "attester": "0x08632f59537f777d19A234F4dFd854169aBA747E",
+    "publicKeyInG1": {
+      "x": "0x06f016e3f1da4c854e2d3a4f99cc141d0f8283db2b49c2e937f899cf349f420f",
+      "y": "0x09530954e2a2748ef02958b8d9db89401a392d86fb58b78c7786d7797b045624"
+    },
+    "publicKeyInG2": {
+      "x0": "0x21abe60951400784754f2a334ec429fe7600edf4e03e716c89283a598faf2b6e",
+      "x1": "0x19956855f9e5a2c55339b320904458bd347cba518fbaa5f44fcf868b24153201",
+      "y0": "0x0a6c9720b90e4508c6e6553586f47a8f51d09de745f153ee6b4de48b92e5a39b",
+      "y1": "0x1a90c829b13900630bc8336dad31b366c42d702879e5822312f004bc86b6659b"
+    },
+    "proofOfPossession": {
+      "x": "0x15b03fdaf43e03fba20f5d01a261c5f134843ffaa7e8a598a21aed530487a7a9",
+      "y": "0x102b8f8e48b5081b8ff8aa40b95c25d7bc92903b30b34e884e53b590548791af"
+    }
+  },
+  {
+    "attester": "0x50Ee5dF7BC0be6f041047b072f1615CF5Bbe64d0",
+    "publicKeyInG1": {
+      "x": "0x2bdd94b5570494f37ad5deca26de0678649a2c0302c9c16fae89f677295bfbe3",
+      "y": "0x19e0068c4ae1c7414447ec8e275dcf82e7c45201e1411eb09c5fe13e537b174d"
+    },
+    "publicKeyInG2": {
+      "x0": "0x1f1c6490bb092be7ceb4141cec1800839a01f92c5837f6df0cd2d5609363fd40",
+      "x1": "0x18f3ca5d4b90d1066b37699a9b5473070dec3d7b59c1998cff4d392c4d560f77",
+      "y0": "0x0f078d1844941e1483c4f84c6d2da751f6beb0979b267016aa3fd13168ec6c5f",
+      "y1": "0x056c6b51ab62801ab8592c07a1b815fab9650a1c69007047cfd6c4255f7419d9"
+    },
+    "proofOfPossession": {
+      "x": "0x23e1b56edcbca1344ef462ff35bb3c18564364cf419aa6415daa1577517fa8ef",
+      "y": "0x1548bfed5a6eb634e5cd720debb32d0bfa25edcb970b29f8fff135c3a8cc1f21"
+    }
+  },
+  {
+    "attester": "0x07EfE31f7c5E4Fc1f870c3EFAA9cF1de704e9760",
+    "publicKeyInG1": {
+      "x": "0x2c9273c0b874fccc711f87459bc01f1bce6e6f2fa1c775365d2e479fc7d7d590",
+      "y": "0x212ab611673a0f989f4e42589ab7b9a289cb84a015443c86c65835cceb7b92b9"
+    },
+    "publicKeyInG2": {
+      "x0": "0x024fa5b52e2c89f603928dcbc4fb8dc4ff5d55b32c04e14ef66e710af89f787f",
+      "x1": "0x24290fe1183bb8e3e0676607a23ed3004c8916099ce6759e5d4e174d62a2d09c",
+      "y0": "0x1fc858fc4da4c8cf6c4be5bc78d0f00ea69f4694a5ce28283278d60dea6faa49",
+      "y1": "0x0487cdae08c9c427af9f162df027f87b0b46d7a17aafc4e39ce0160b2e41ffb9"
+    },
+    "proofOfPossession": {
+      "x": "0x2589c83d981a33a63652c110ffa3f46fcc2e7077a97f62caa95aa44b17d04bdf",
+      "y": "0x21b07a08ccac54068112045c502b11c0d95b8492c89fd628a1a1bd96751414d4"
+    }
+  }
+]
diff --git a/l1-contracts/src/shared/libraries/BN254Lib.sol b/l1-contracts/src/shared/libraries/BN254Lib.sol
index 0d32e4bd83bd..637d10d8ff6d 100644
--- a/l1-contracts/src/shared/libraries/BN254Lib.sol
+++ b/l1-contracts/src/shared/libraries/BN254Lib.sol
@@ -198,21 +198,40 @@ library BN254Lib {
     return result[0] == 1;
   }
 
+  // The hash to point is based on the "mapToPoint" function in https://www.iacr.org/archive/asiacrypt2001/22480516.pdf
   function hashToPoint(bytes32 domain, bytes memory message) internal view returns (G1Point memory output) {
-    bytes32 hashed = keccak256(abi.encode(domain, message));
-    uint256 x = uint256(hashed) % BASE_FIELD_ORDER;
-    uint256 y;
     bool found = false;
+    uint256 attempts = 0;
     while (true) {
-      y = mulmod(x, x, BASE_FIELD_ORDER);
+      uint256 x = uint256(keccak256(abi.encode(domain, message, attempts))) % BASE_FIELD_ORDER;
+      attempts++;
+
+      // In the very rare case you should hit 0 based on the hash, we disregard it and try again
+      if (x == 0) {
+        continue;
+      }
+
+      uint256 y = mulmod(x, x, BASE_FIELD_ORDER);
       y = mulmod(y, x, BASE_FIELD_ORDER);
       y = addmod(y, 3, BASE_FIELD_ORDER);
       (y, found) = sqrt(y);
       if (found) {
-        output = G1Point({x: x, y: y});
+        uint256 y0 = y;
+        uint256 y1 = BASE_FIELD_ORDER - y;
+
+        // Ensure that y1 > y0, flip em if necessary
+        if (y0 > y1) {
+          (y0, y1) = (y1, y0);
+        }
+
+        if ((x & 1) == 0) {
+          output = G1Point({x: x, y: y0});
+        } else {
+          output = G1Point({x: x, y: y1});
+        }
+
         break;
       }
-      x = addmod(x, 1, BASE_FIELD_ORDER);
     }
     require(found, NoPointFound());
     return output;