Pith Number

pith:EE7NSFZL

pith:2013:EE7NSFZL4ANQ4VLHOX2N2MWL3P

not attested not anchored not stored refs pending

Time-Optimal Interactive Proofs for Circuit Evaluation

Justin Thaler

arxiv:1304.3812 v4 · 2013-04-13 · cs.CR · cs.CC · cs.DS

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EE7NSFZL4ANQ4VLHOX2N2MWL3P}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:51:07.737781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

213ed9172be01b0e556775f4dd32cbdbd3e8c27a2a144ecd9edcfcb7bfb19511

Aliases

arxiv: 1304.3812 · arxiv_version: 1304.3812v4 · doi: 10.48550/arxiv.1304.3812 · pith_short_12: EE7NSFZL4ANQ · pith_short_16: EE7NSFZL4ANQ4VLH · pith_short_8: EE7NSFZL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EE7NSFZL4ANQ4VLHOX2N2MWL3P \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 213ed9172be01b0e556775f4dd32cbdbd3e8c27a2a144ecd9edcfcb7bfb19511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba389158a80541264b7dc1aa63314789bca611d57410026ad9146295ecdf978",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2013-04-13T14:47:09Z",
    "title_canon_sha256": "cb36ccc58d3479302795cb41715dd529c704c052d071b28810e4ac219d28749a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3812",
    "kind": "arxiv",
    "version": 4
  }
}