Pith Number

pith:ZMTR3X2E

pith:2012:ZMTR3X2EOEZXLCRWXM7ZU63YTQ

not attested not anchored not stored refs pending

Young module multiplicities and classifying the indecomposable Young permutation modules

Christopher C. Gill

arxiv:1203.6370 v2 · 2012-03-28 · 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{ZMTR3X2EOEZXLCRWXM7ZU63YTQ}

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	2026-05-18T01:31:04.153751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb271ddf447133758a36bb3f9a7b789c0d8be6d6402cade77bcdf7d32a3cc7cb

Aliases

arxiv: 1203.6370 · arxiv_version: 1203.6370v2 · doi: 10.48550/arxiv.1203.6370 · pith_short_12: ZMTR3X2EOEZX · pith_short_16: ZMTR3X2EOEZXLCRW · pith_short_8: ZMTR3X2E

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/ZMTR3X2EOEZXLCRWXM7ZU63YTQ \
  | 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: cb271ddf447133758a36bb3f9a7b789c0d8be6d6402cade77bcdf7d32a3cc7cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e501bf65d5f2436185c114bc9ee39fb35da70f425099d3b17be7ed4f18b1924",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-03-28T20:14:46Z",
    "title_canon_sha256": "f5fd3382265a51efc0adc4aca0cf4416e5e62c1c63cecc7fa1d6d61f0afad93a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6370",
    "kind": "arxiv",
    "version": 2
  }
}