Pith Number

pith:CE5A6GXW

pith:2011:CE5A6GXWTBBJC6MNEGESYANN2A

not attested not anchored not stored refs pending

On the capabilities of grammars, automata, and transducers controlled by monoids

Georg Zetzsche

arxiv:1103.3361 v1 · 2011-03-17 · cs.FL · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CE5A6GXWTBBJC6MNEGESYANN2A}

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	2026-05-18T04:26:33.871378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

113a0f1af6984291798d21892c01add029b9dfcce8c630f92e126b7254753e81

Aliases

arxiv: 1103.3361 · arxiv_version: 1103.3361v1 · doi: 10.48550/arxiv.1103.3361 · pith_short_12: CE5A6GXWTBBJ · pith_short_16: CE5A6GXWTBBJC6MN · pith_short_8: CE5A6GXW

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/CE5A6GXWTBBJC6MNEGESYANN2A \
  | 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: 113a0f1af6984291798d21892c01add029b9dfcce8c630f92e126b7254753e81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3282bda6b263c1b240f89de47371c392532ce3796631314eaf66a1d1e699f293",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2011-03-17T09:19:12Z",
    "title_canon_sha256": "2b75404b5ac12e8a90a4a82c7e3b23a85c9c3cffb4039332de010e8bca0d31da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3361",
    "kind": "arxiv",
    "version": 1
  }
}