docs: update gnark groth16 examples

JuArce · JuArce · commit 6911e4d03bb7 · 2025-06-25T16:27:22.000-03:00
diff --git a/docs/3_guides/0_submitting_proofs.md b/docs/3_guides/0_submitting_proofs.md
@@ -200,9 +200,9 @@ aligned submit \
 --rpc_url https://ethereum-holesky-rpc.publicnode.com
 ```
 
-### GnarkPlonkBn254, GnarkPlonkBls12_381 and Groth16Bn254
+### GnarkPlonkBn254, GnarkPlonkBls12_381 and GnarkGroth16Bn254
 
-The GnarkPlonkBn254, GnarkPlonkBls12_381 and Groth16Bn254 proofs need the proof file, the public input file and the verification key file.
+The GnarkPlonkBn254, GnarkPlonkBls12_381 and GnarkGroth16Bn254 proofs need the proof file, the public input file and the verification key file.
 
 ```bash
 rm -rf ./aligned_verification_data/ &&
diff --git a/docs/3_guides/8_submitting_batch_without_batcher.md b/docs/3_guides/8_submitting_batch_without_batcher.md
@@ -35,7 +35,7 @@ If, after this analysis, a User still wants to submit his own Batch, here is how
    ```
    [
        {
-           "proving_system": "Groth16Bn254",
+           "proving_system": "GnarkGroth16Bn254",
            "proof": [
                152, 88, 141, 155, 88, 35, 94, 76, ...
            ],

Original file line number	Diff line number	Diff line change
`@@ -35,7 +35,7 @@ If, after this analysis, a User still wants to submit his own Batch, here is how`
`35`	`35`	```
`36`	`36`	`[`
`37`	`37`	`{`
`38`		`- "proving_system": "Groth16Bn254",`
	`38`	`+ "proving_system": "GnarkGroth16Bn254",`
`39`	`39`	`"proof": [`
`40`	`40`	`152, 88, 141, 155, 88, 35, 94, 76, ...`
`41`	`41`	`],`