Pith Number

pith:YX766LSV

pith:2009:YX766LSVFW6W76AYRNQRMLRNER

not attested not anchored not stored refs pending

On a conjecture by Pierre Cartier about a group of associators

Vincel Hoang Ngoc Minh (LIPN)

arxiv:0910.1932 v10 · 2009-10-10 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YX766LSVFW6W76AYRNQRMLRNER}

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	2026-05-18T03:53:55.058443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5ffef2e552dbd6ff8188b61162e2d244ff6382bc55b6dc86694b2bba1ac3d5a

Aliases

arxiv: 0910.1932 · arxiv_version: 0910.1932v10 · doi: 10.48550/arxiv.0910.1932 · pith_short_12: YX766LSVFW6W · pith_short_16: YX766LSVFW6W76AY · pith_short_8: YX766LSV

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/YX766LSVFW6W76AYRNQRMLRNER \
  | 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: c5ffef2e552dbd6ff8188b61162e2d244ff6382bc55b6dc86694b2bba1ac3d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "607f37be8bdef74fafc6c9595738ef597ad856747894b12d33d760151b09b379",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-10-10T17:20:41Z",
    "title_canon_sha256": "dfe483107f4656630077d89063768c2f18d01fa827a5867082490f86525f3d7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1932",
    "kind": "arxiv",
    "version": 10
  }
}