Pith Number

pith:2IYYTLGE

pith:2011:2IYYTLGEZVBQWES6NCKVGNQQKU

not attested not anchored not stored refs pending

Digraph Complexity Measures and Applications in Formal Language Theory

Hermann Gruber

arxiv:1111.5357 v1 · 2011-11-22 · cs.DM · cs.DS · 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{2IYYTLGEZVBQWES6NCKVGNQQKU}

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	2026-05-18T03:27:54.913083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d23189acc4cd430b125e68955336105506f7ac4f26f073bc4a95d7ac68d33204

Aliases

arxiv: 1111.5357 · arxiv_version: 1111.5357v1 · doi: 10.48550/arxiv.1111.5357 · pith_short_12: 2IYYTLGEZVBQ · pith_short_16: 2IYYTLGEZVBQWES6 · pith_short_8: 2IYYTLGE

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/2IYYTLGEZVBQWES6NCKVGNQQKU \
  | 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: d23189acc4cd430b125e68955336105506f7ac4f26f073bc4a95d7ac68d33204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9feb446d8e3eb41cc96448b4d40255e866edccaf10388039099f63dc644b22df",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-11-22T22:38:55Z",
    "title_canon_sha256": "04794f7ea7695a21a7b9cb2f9dcbea4ce3e1c9960775ba7a144263da80050c42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5357",
    "kind": "arxiv",
    "version": 1
  }
}