Pith Number

pith:FQT6VGTB

pith:2007:FQT6VGTB43CFGTESYSCWMBICEX

not attested not anchored not stored refs pending

Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers

Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon, Lenny Tevlin

arxiv:0710.0447 v1 · 2007-10-02 · 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{FQT6VGTB43CFGTESYSCWMBICEX}

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	2026-05-18T03:34:12.585172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c27ea9a61e6c4534c92c48566050225e62ea5872c12217760c61c4a9d40c8c1

Aliases

arxiv: 0710.0447 · arxiv_version: 0710.0447v1 · doi: 10.48550/arxiv.0710.0447 · pith_short_12: FQT6VGTB43CF · pith_short_16: FQT6VGTB43CFGTES · pith_short_8: FQT6VGTB

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/FQT6VGTB43CFGTESYSCWMBICEX \
  | 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: 2c27ea9a61e6c4534c92c48566050225e62ea5872c12217760c61c4a9d40c8c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "996b4da32aa4afc28a0fb1869d303ba7cba1945b4331e95e7625cc2898bb9fdd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-10-02T07:24:15Z",
    "title_canon_sha256": "3e3a12e19ae7b172d789b85588b1ef20e016f7887d562192fde0dfa766b28016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0447",
    "kind": "arxiv",
    "version": 1
  }
}