Pith Number

pith:2I4MKUIT

pith:2017:2I4MKUITBAYYYENWLBILGBNCMI

not attested not anchored not stored refs pending

Commutative positive varieties of languages

Jean-\'Eric Pin, Jorge Almeida, Zolt\'an \'Esik

arxiv:1703.02154 v1 · 2017-03-07 · 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{2I4MKUITBAYYYENWLBILGBNCMI}

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	2026-05-17T23:51:14.920194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d238c5511308318c11b65850b305a2620a880132c6488fe785920829f0811b37

Aliases

arxiv: 1703.02154 · arxiv_version: 1703.02154v1 · doi: 10.48550/arxiv.1703.02154 · pith_short_12: 2I4MKUITBAYY · pith_short_16: 2I4MKUITBAYYYENW · pith_short_8: 2I4MKUIT

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/2I4MKUITBAYYYENWLBILGBNCMI \
  | 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: d238c5511308318c11b65850b305a2620a880132c6488fe785920829f0811b37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b398931c3df319d00c2309bcc804219739f2081c4bf831b08853fbaf4ad572bc",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2017-03-07T00:02:54Z",
    "title_canon_sha256": "82091b2a93df0b253e5e7a50943ec73f9a5c66ddc1c5a67572c7d0c8e1ac4b07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02154",
    "kind": "arxiv",
    "version": 1
  }
}