Pith Number

pith:PGN4BOR3

pith:2010:PGN4BOR3X7KYGUQWPLBOW4F4QE

not attested not anchored not stored refs pending

Minimization of Automata

Isabelle Fagnot, Jean Berstel, Luc Boasson, Olivier Carton

arxiv:1010.5318 v3 · 2010-10-26 · 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{PGN4BOR3X7KYGUQWPLBOW4F4QE}

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	2026-05-18T04:32:11.458133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799bc0ba3bbfd58352167ac2eb70bc810c2576d57398267ad4ef2d9ac6275cac

Aliases

arxiv: 1010.5318 · arxiv_version: 1010.5318v3 · doi: 10.48550/arxiv.1010.5318 · pith_short_12: PGN4BOR3X7KY · pith_short_16: PGN4BOR3X7KYGUQW · pith_short_8: PGN4BOR3

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/PGN4BOR3X7KYGUQWPLBOW4F4QE \
  | 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: 799bc0ba3bbfd58352167ac2eb70bc810c2576d57398267ad4ef2d9ac6275cac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c4b4b1138b455bbe3f13bbd3b5d55a287ee9c974d38ac8eb68cdf366106fe6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2010-10-26T06:03:55Z",
    "title_canon_sha256": "97c8c479c58c2ed4ee21aeae47fe5ba7cc93c5f93b8ceffa848ba7c6574f95a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5318",
    "kind": "arxiv",
    "version": 3
  }
}