Pith Number

pith:VKG7VBH2

pith:2013:VKG7VBH2A2DHZ2AWQY5W5BBUYJ

not attested not anchored not stored refs pending

On sofic monoids

Michel Coornaert, Tullio Ceccherini-Silberstein

arxiv:1304.4919 v5 · 2013-04-17 · math.DS · math.FA · 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{VKG7VBH2A2DHZ2AWQY5W5BBUYJ}

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	2026-05-18T02:17:01.597448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa8dfa84fa06867ce816863b6e8434c263530f4cae0d08f24a798156084d2e9c

Aliases

arxiv: 1304.4919 · arxiv_version: 1304.4919v5 · doi: 10.48550/arxiv.1304.4919 · pith_short_12: VKG7VBH2A2DH · pith_short_16: VKG7VBH2A2DHZ2AW · pith_short_8: VKG7VBH2

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/VKG7VBH2A2DHZ2AWQY5W5BBUYJ \
  | 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: aa8dfa84fa06867ce816863b6e8434c263530f4cae0d08f24a798156084d2e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3996027d39a99373aac290157c6a5ac2d833707a6cc67dc1e8dc62422bc75e3",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-17T19:03:22Z",
    "title_canon_sha256": "0190aa5e1d235f30700749397028b977d88cd44fc3172dea53f521ba1633eae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4919",
    "kind": "arxiv",
    "version": 5
  }
}