Pith Number

pith:5HGYS674

pith:2022:5HGYS674G5GCXRVVWN5TZQDITT

not attested not anchored not stored refs pending

An algebra of alignment for relational verification

David A. Naumann, Eric Koskinen, Minh Ngo, Ramana Nagasamudram, Timos Antonopoulos, Ton Chanh Le

arxiv:2202.04278 v4 · 2022-02-09 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HGYS674G5GCXRVVWN5TZQDITT}

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.

Cited by

1 paper in Pith

Kleene algebra with commutativity conditions is undecidable

Receipt and verification

First computed	2026-07-05T05:54:03.506868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9cd897bfc374c2bc6b5b37b3cc0689ce2cc95552bd9314de1d9e986315d2fc1

Aliases

arxiv: 2202.04278 · arxiv_version: 2202.04278v4 · doi: 10.48550/arxiv.2202.04278 · pith_short_12: 5HGYS674G5GC · pith_short_16: 5HGYS674G5GCXRVV · pith_short_8: 5HGYS674

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/5HGYS674G5GCXRVVWN5TZQDITT \
  | 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: e9cd897bfc374c2bc6b5b37b3cc0689ce2cc95552bd9314de1d9e986315d2fc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdf2844bfb6f833fbad989d55aa98979c8d79d627d28fe53b87aff292647578e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2022-02-09T04:53:04Z",
    "title_canon_sha256": "7a72aa3c9dd2ecec597b7dcde350ed6eb1b8f224513fec09d8a81bcc43bd8c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.04278",
    "kind": "arxiv",
    "version": 4
  }
}