Pith Number

pith:UT3FUAQ6

pith:2006:UT3FUAQ6QO5FTAPODDZO65ZTFK

not attested not anchored not stored refs pending

Commutative combinatorial Hopf algebras

F. Hivert, J.-C. Novelli, J.-Y. Thibon

arxiv:math/0605262 v1 · 2006-05-10 · 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{UT3FUAQ6QO5FTAPODDZO65ZTFK}

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	2026-05-18T03:34:00.453929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4f65a021e83ba5981ee18f2ef77332a9b54f64c4c6998c27882ee0c89c816c8

Aliases

arxiv: math/0605262 · arxiv_version: math/0605262v1 · doi: 10.48550/arxiv.math/0605262 · pith_short_12: UT3FUAQ6QO5F · pith_short_16: UT3FUAQ6QO5FTAPO · pith_short_8: UT3FUAQ6

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/UT3FUAQ6QO5FTAPODDZO65ZTFK \
  | 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: a4f65a021e83ba5981ee18f2ef77332a9b54f64c4c6998c27882ee0c89c816c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faf93b367e589ef3585a8339a1b4df3c3d623b829b497e9e53cc11904d8fb6b9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-05-10T14:11:36Z",
    "title_canon_sha256": "65543efe4341dd229e4ac838c0dfea9fb99446cd63676db3f1fd2cdcfefc4720"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605262",
    "kind": "arxiv",
    "version": 1
  }
}