Pith Number

pith:KCEZKNID

pith:2012:KCEZKNIDHXYHDJZPGCPKOW4TBA

not attested not anchored not stored refs pending

On the decomposition of the Foulkes module

Eugenio Giannelli

arxiv:1207.6300 v1 · 2012-07-26 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCEZKNIDHXYHDJZPGCPKOW4TBA}

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	2026-05-18T03:50:00.543213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50899535033df071a72f309ea75b93083b93219eb5c67ea04e4d417f96a7b69f

Aliases

arxiv: 1207.6300 · arxiv_version: 1207.6300v1 · doi: 10.48550/arxiv.1207.6300 · pith_short_12: KCEZKNIDHXYH · pith_short_16: KCEZKNIDHXYHDJZP · pith_short_8: KCEZKNID

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/KCEZKNIDHXYHDJZPGCPKOW4TBA \
  | 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: 50899535033df071a72f309ea75b93083b93219eb5c67ea04e4d417f96a7b69f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f7ff27ff5c09f2882080f0bbebb9d50151140ccc16da2d284b8f4d32652bab4",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-07-26T15:34:22Z",
    "title_canon_sha256": "654175cf6f7112c357a089bd6acbf6a4598d71d3f94553a90b3bd15983879bee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6300",
    "kind": "arxiv",
    "version": 1
  }
}