Pith Number

pith:Y5OZPGPU

pith:2023:Y5OZPGPUY2HNB6UQAWFAM2VEY7

not attested not anchored not stored refs pending

Certifying Zero-Knowledge Circuits with Refinement Types

Anders Miltner, Bryan Tan, Hanzhi Liu, Ian Kretz, I\c{s}{\i}l Dillig, Jonathan Wang, Junrui Liu, Luke Pearson, Yi Sun, Yu Feng

arxiv:2304.07648 v2 · 2023-04-15 · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5OZPGPUY2HNB6UQAWFAM2VEY7}

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

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	2026-07-05T06:02:10.204978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c75d9799f4c68ed0fa90058a066aa4c7ec5ac5c45fd1a7e11ef9a6663129a3fb

Aliases

arxiv: 2304.07648 · arxiv_version: 2304.07648v2 · doi: 10.48550/arxiv.2304.07648 · pith_short_12: Y5OZPGPUY2HN · pith_short_16: Y5OZPGPUY2HNB6UQ · pith_short_8: Y5OZPGPU

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/Y5OZPGPUY2HNB6UQAWFAM2VEY7 \
  | 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: c75d9799f4c68ed0fa90058a066aa4c7ec5ac5c45fd1a7e11ef9a6663129a3fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c66c98eb02dc1f849c7bdc0491b3293868cc2a8e813bd9eb3c09526a7d9c4276",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2023-04-15T22:24:53Z",
    "title_canon_sha256": "19d5bf52a970c9556e04e93a19fc40c9ad9c3fdeada73e20d6344ab24c7dcbd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.07648",
    "kind": "arxiv",
    "version": 2
  }
}