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Pinocchio: Nearly Practical Verifiable Computation

Compile the program to a quadratic arithmetic program and prove it was satisfied. Verification is a small number of pairings, independent of the program's length, after a trusted setup.

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Authors
Bryan Parno, Jon Howell, Craig Gentry and Mariana Raykova
Date
2013
Publisher
Bryan Parno, Jon Howell, Craig Gentry and Mariana Raykova
Version
Source cited by the 2013 study. The study is the reading. This page does not add a second essay.
Document ID
BLC-STUDY-0168
DOI
None recorded
Last reviewed
1 October 2026
Licence
No licence recorded. Rights status under review.

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Direct answer

Compile the program to a quadratic arithmetic program and prove it was satisfied. Verification is a small number of pairings, independent of the program's length, after a trusted setup.

Where to read

Metadata and commentary only. The reading is the study page.

Full text

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What changed

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Cite this record

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Author–date

Parno, B., Howell, J., Gentry, C., & Raykova, M. (2013). Pinocchio: Nearly Practical Verifiable Computation. Bryan Parno, Jon Howell, Craig Gentry and Mariana Raykova. https://eprint.iacr.org/2013/279

BibTeX

@techreport{zksnarkpinocchio2013,
  title = {Pinocchio: Nearly Practical Verifiable Computation},
  author = {Bryan Parno, Jon Howell, Craig Gentry and Mariana Raykova},
  year = {2013},
  institution = {Bryan Parno, Jon Howell, Craig Gentry and Mariana Raykova},
  url = {https://eprint.iacr.org/2013/279},
  note = {Rights status: Official external source only. Blockchain Lab record: https://blockchainlab.com/research/corpus/papers/zksnark-pinocchio}
}

RIS

TY  - RPRT
TI  - Pinocchio: Nearly Practical Verifiable Computation
AU  - Bryan Parno
AU  - Jon Howell
AU  - Craig Gentry
AU  - Mariana Raykova
PY  - 2013
PB  - Bryan Parno, Jon Howell, Craig Gentry and Mariana Raykova
UR  - https://eprint.iacr.org/2013/279
N1  - Rights status: Official external source only
ER  -

CSL-JSON

[
  {
    "type": "report",
    "id": "BLC-STUDY-0168",
    "title": "Pinocchio: Nearly Practical Verifiable Computation",
    "author": [
      {
        "literal": "Bryan Parno"
      },
      {
        "literal": "Jon Howell"
      },
      {
        "literal": "Craig Gentry"
      },
      {
        "literal": "Mariana Raykova"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2013
        ]
      ]
    },
    "publisher": "Bryan Parno, Jon Howell, Craig Gentry and Mariana Raykova",
    "URL": "https://eprint.iacr.org/2013/279",
    "note": "Rights status: Official external source only. Not a licence to republish the paper."
  }
]

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Source status
Official source
Use status
Metadata and commentary only. The reading is the study page.
Rights
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