Pith Number

pith:BZH3OHOW

pith:2022:BZH3OHOWAAK5BSZPFDZMH3EVP5

not attested not anchored not stored refs pending

Small Proofs from Congruence Closure

Max Willsey, Oliver Flatt, Pavel Panchekha, Samuel Coward, Zachary Tatlock

arxiv:2209.03398 v1 · 2022-09-07 · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZH3OHOWAAK5BSZPFDZMH3EVP5}

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	2026-07-05T04:55:41.346160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e4fb71dd60015d0cb2f28f2c3ec957f46d08f535ea40cee1e16c51ccd33960e

Aliases

arxiv: 2209.03398 · arxiv_version: 2209.03398v1 · doi: 10.48550/arxiv.2209.03398 · pith_short_12: BZH3OHOWAAK5 · pith_short_16: BZH3OHOWAAK5BSZP · pith_short_8: BZH3OHOW

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/BZH3OHOWAAK5BSZPFDZMH3EVP5 \
  | 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: 0e4fb71dd60015d0cb2f28f2c3ec957f46d08f535ea40cee1e16c51ccd33960e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd8d0c136ffb89463b813f1b1a0c695c49fa81632eb1133cc4d3947d94c04fdf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2022-09-07T18:06:36Z",
    "title_canon_sha256": "53f26cebbf1c3d918e9a4ae2ed80cb927226fbb6c6983f62a6029ae55b201718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.03398",
    "kind": "arxiv",
    "version": 1
  }
}