Pith Number

pith:WSNSOW3I

pith:2011:WSNSOW3I7CDOETSSFRGYBIYNCO

not attested not anchored not stored refs pending

The Tutte-Grothendieck group of a convergent alphabetic rewriting system

Laurent Poinsot (LIPN)

arxiv:1112.6179 v1 · 2011-12-28 · cs.DM · 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{WSNSOW3I7CDOETSSFRGYBIYNCO}

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	2026-05-18T03:31:41.870267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b49b275b68f886e24e522c4d80a30d139b3910f8f6dc2068101d4696895fc748

Aliases

arxiv: 1112.6179 · arxiv_version: 1112.6179v1 · doi: 10.48550/arxiv.1112.6179 · pith_short_12: WSNSOW3I7CDO · pith_short_16: WSNSOW3I7CDOETSS · pith_short_8: WSNSOW3I

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/WSNSOW3I7CDOETSSFRGYBIYNCO \
  | 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: b49b275b68f886e24e522c4d80a30d139b3910f8f6dc2068101d4696895fc748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22b673c7a1c18aa2d3fee71fae6fae9a39c3b44b2f5f05b3f234953d2f5d12d1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-12-28T20:30:01Z",
    "title_canon_sha256": "ee71f074462b3142479b1f7436b6b0c7464a0349f0a540b7cc6f8969a24101fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6179",
    "kind": "arxiv",
    "version": 1
  }
}