Pith Number

pith:M25USD4W

pith:2013:M25USD4WA25NZ7NW44ZB75JRZY

not attested not anchored not stored refs pending

Quasi-symmetric functions as polynomial functions on Young diagrams

Jean-Christophe Aval, Jean-Christophe Novelli, Jean-Yves Thibon, Valentin F\'eray

arxiv:1312.2727 v2 · 2013-12-10 · 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{M25USD4WA25NZ7NW44ZB75JRZY}

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	2026-05-18T01:30:35.561487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66bb490f9606badcfdb6e7321ff531ce1ef2468319faee479c2e8b53e9cf4a51

Aliases

arxiv: 1312.2727 · arxiv_version: 1312.2727v2 · doi: 10.48550/arxiv.1312.2727 · pith_short_12: M25USD4WA25N · pith_short_16: M25USD4WA25NZ7NW · pith_short_8: M25USD4W

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/M25USD4WA25NZ7NW44ZB75JRZY \
  | 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: 66bb490f9606badcfdb6e7321ff531ce1ef2468319faee479c2e8b53e9cf4a51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fa2e4d8310e2502b56be9054f0db4c5a042ab20af3d305ff936a0369177dbaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-10T09:40:40Z",
    "title_canon_sha256": "fb9847e8e52ec139534a6406830065d9a0d487f26d09a4465c0c6c8283db7cee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2727",
    "kind": "arxiv",
    "version": 2
  }
}