Pith Number

pith:MB5SNYSJ

pith:2013:MB5SNYSJQVRY364PHCMV5YDQIB

not attested not anchored not stored refs pending

Foulkes modules and decomposition numbers of the symmetric group

Eugenio Giannelli, Mark Wildon

arxiv:1310.2661 v2 · 2013-10-09 · 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{MB5SNYSJQVRY364PHCMV5YDQIB}

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	2026-05-18T02:39:48.632421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607b26e24985638dfb8f38995ee07040414ff7331e913f1e45079f5257266799

Aliases

arxiv: 1310.2661 · arxiv_version: 1310.2661v2 · doi: 10.48550/arxiv.1310.2661 · pith_short_12: MB5SNYSJQVRY · pith_short_16: MB5SNYSJQVRY364P · pith_short_8: MB5SNYSJ

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/MB5SNYSJQVRY364PHCMV5YDQIB \
  | 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: 607b26e24985638dfb8f38995ee07040414ff7331e913f1e45079f5257266799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef6fa4277aa4480d59b2ad4cf06940cda3ce0b506f50741dfd6731a9503f413b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-10-09T23:47:28Z",
    "title_canon_sha256": "80286b3f0c59628f600b2ab3c4b0847c5dc434f8aecbb7684f83429cf3b2dfc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2661",
    "kind": "arxiv",
    "version": 2
  }
}