Pith Number

pith:4FMNWFEY

pith:2008:4FMNWFEYQ4H2VQCLKJN7NMDDWQ

not attested not anchored not stored refs pending

Superization and (q,t)-specialization in combinatorial Hopf algebras

Jean-Christophe Novelli, Jean-Yves Thibon

arxiv:0803.1816 v1 · 2008-03-12 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FMNWFEYQ4H2VQCLKJN7NMDDWQ}

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	2026-05-18T03:34:12.548690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e158db1498870faac04b525bf6b063b435a21862853e33eefb297d13e95817b1

Aliases

arxiv: 0803.1816 · arxiv_version: 0803.1816v1 · doi: 10.48550/arxiv.0803.1816 · pith_short_12: 4FMNWFEYQ4H2 · pith_short_16: 4FMNWFEYQ4H2VQCL · pith_short_8: 4FMNWFEY

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/4FMNWFEYQ4H2VQCLKJN7NMDDWQ \
  | 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: e158db1498870faac04b525bf6b063b435a21862853e33eefb297d13e95817b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc2b955f52cd503f5ed6bf9180cf2b76fecf1ee1730fedfb9afe827e65eab333",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-03-12T17:07:31Z",
    "title_canon_sha256": "fffb9b9ffa8d0c35908dc5233ba7fd0a343b26b58da35f7667fb84e158494b74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1816",
    "kind": "arxiv",
    "version": 1
  }
}