Pith Number

pith:42I6S62Z

pith:2012:42I6S62Z7GNECOBE6AHBMEYCSE

not attested not anchored not stored refs pending

Universal Witnesses for State Complexity of Basic Operations Combined with Reversal

David Liu, Janusz Brzozowski

arxiv:1207.0535 v1 · 2012-07-02 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42I6S62Z7GNECOBE6AHBMEYCSE}

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	2026-05-18T03:51:57.843192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e691e97b59f99a413824f00e1613029128ac8e243e7d24460f64401bedd3380c

Aliases

arxiv: 1207.0535 · arxiv_version: 1207.0535v1 · doi: 10.48550/arxiv.1207.0535 · pith_short_12: 42I6S62Z7GNE · pith_short_16: 42I6S62Z7GNECOBE · pith_short_8: 42I6S62Z

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/42I6S62Z7GNECOBE6AHBMEYCSE \
  | 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: e691e97b59f99a413824f00e1613029128ac8e243e7d24460f64401bedd3380c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d48ac7d11316dfb89ebd9c7dbdf6e6cad182d2b24e8e227ff5c6cab14862a7a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-07-02T22:15:01Z",
    "title_canon_sha256": "4e6144ae04849eadcf28da3665e0d2d180627e3a612ad0e65349fe1753344fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0535",
    "kind": "arxiv",
    "version": 1
  }
}