Pith Number

pith:HSXDHDDP

pith:2011:HSXDHDDPHVBX33HP6HJ7XZRE32

not attested not anchored not stored refs pending

Characters of symmetric groups in terms of free cumulants and Frobenius coordinates

Maciej Do{\l}ega, Piotr \'Sniady, Valentin F\'eray

arxiv:1105.2549 v1 · 2011-05-12 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSXDHDDPHVBX33HP6HJ7XZRE32}

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	2026-05-18T04:19:04.146261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cae338c6f3d437deceff1d3fbe624dea3322b9753e813459d4a2108caf28c29

Aliases

arxiv: 1105.2549 · arxiv_version: 1105.2549v1 · doi: 10.48550/arxiv.1105.2549 · pith_short_12: HSXDHDDPHVBX · pith_short_16: HSXDHDDPHVBX33HP · pith_short_8: HSXDHDDP

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/HSXDHDDPHVBX33HP6HJ7XZRE32 \
  | 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: 3cae338c6f3d437deceff1d3fbe624dea3322b9753e813459d4a2108caf28c29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7904b8fe599f5e359f4871c01d39e7b021b5796059867fc0d64e490acacbac72",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-12T19:10:55Z",
    "title_canon_sha256": "f92f9fd73f5b58ce399770837bf8c0ced292b082559634188ea5b6639f8dcaf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2549",
    "kind": "arxiv",
    "version": 1
  }
}