Pith Number

pith:4M22QX4Y

pith:2012:4M22QX4YZWLU7SRNNI26CIZJEH

not attested not anchored not stored refs pending

On Kerov polynomials for Jack characters

Maciej Do\l\k{e}ga, Valentin F\'eray (LaBRI)

arxiv:1201.1806 v3 · 2012-01-09 · 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{4M22QX4YZWLU7SRNNI26CIZJEH}

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	2026-05-18T02:45:12.852072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e335a85f98cd974fca2d6a35e1232921e4e5e9203321478a105d359827959be8

Aliases

arxiv: 1201.1806 · arxiv_version: 1201.1806v3 · doi: 10.48550/arxiv.1201.1806 · pith_short_12: 4M22QX4YZWLU · pith_short_16: 4M22QX4YZWLU7SRN · pith_short_8: 4M22QX4Y

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/4M22QX4YZWLU7SRNNI26CIZJEH \
  | 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: e335a85f98cd974fca2d6a35e1232921e4e5e9203321478a105d359827959be8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42b3e182b403a4873b801ba63a11c7a6cf978b6720dd5cdb5d16a7ea9f0c797c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-09T15:45:25Z",
    "title_canon_sha256": "8d39a2cd9ebf4b551c8b9f463f3f76c5c70844cee6e425dfc43cd5cd8f4c18b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1806",
    "kind": "arxiv",
    "version": 3
  }
}