Pith Number

pith:VPDSJ4MY

pith:2011:VPDSJ4MYG5IKEEW7FLGEF4IZAP

not attested not anchored not stored refs pending

Asymptotic enumeration of Minimal Automata

Andrea Sportiello, Frederique Bassino, Julien David

arxiv:1109.5683 v1 · 2011-09-26 · cs.FL · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPDSJ4MYG5IKEEW7FLGEF4IZAP}

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	2026-05-18T04:12:19.016984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abc724f1983750a212df2acc42f11903ff806530d4f9695053a00b92f1b4dcc7

Aliases

arxiv: 1109.5683 · arxiv_version: 1109.5683v1 · doi: 10.48550/arxiv.1109.5683 · pith_short_12: VPDSJ4MYG5IK · pith_short_16: VPDSJ4MYG5IKEEW7 · pith_short_8: VPDSJ4MY

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/VPDSJ4MYG5IKEEW7FLGEF4IZAP \
  | 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: abc724f1983750a212df2acc42f11903ff806530d4f9695053a00b92f1b4dcc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6005424a06b0f8868af7693df3384b6356b15d50715176c648abe28bfcf3654b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2011-09-26T19:39:56Z",
    "title_canon_sha256": "006d95811269c9412efd5d5c09ce8830a39b05a222c597eed08ed051431d3676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5683",
    "kind": "arxiv",
    "version": 1
  }
}