Pith Number

pith:653BCIRP

pith:2008:653BCIRPAJPAYT3742SEVFRAVS

not attested not anchored not stored refs pending

Free quasi-symmetric functions and descent algebras for wreath products, and noncommutative multi-symmetric functions

Jean-Christophe Novelli, Jean-Yves Thibon

arxiv:0806.3682 v1 · 2008-06-23 · 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{653BCIRPAJPAYT3742SEVFRAVS}

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	2026-05-18T03:34:12.534502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f77611222f025e0c4f7fe6a44a9620acae555f581b9bcd0fd4520edf659cba8d

Aliases

arxiv: 0806.3682 · arxiv_version: 0806.3682v1 · doi: 10.48550/arxiv.0806.3682 · pith_short_12: 653BCIRPAJPA · pith_short_16: 653BCIRPAJPAYT37 · pith_short_8: 653BCIRP

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/653BCIRPAJPAYT3742SEVFRAVS \
  | 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: f77611222f025e0c4f7fe6a44a9620acae555f581b9bcd0fd4520edf659cba8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "647ec31aab5b50b46ab902b3de37391f7c565d966a86b5eb31875f95f5b207c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-06-23T13:42:01Z",
    "title_canon_sha256": "233f71c064724e1779f6661d5b8480e39fb7a0e59bba292a599b55b6e4472f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.3682",
    "kind": "arxiv",
    "version": 1
  }
}