Pith Number

pith:X3IVQLDN

pith:2011:X3IVQLDNE5FXJNPL25GF5RF2S5

not attested not anchored not stored refs pending

The complexities of some simple modules of the symmetric groups

Kai Meng Tan, Kay Jin Lim

arxiv:1108.1025 v2 · 2011-08-04 · 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{X3IVQLDNE5FXJNPL25GF5RF2S5}

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	2026-05-18T02:58:00.691064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bed1582c6d274b74b5ebd74c5ec4ba974fc9266bb0c5cf4b71ce27a452fb68c5

Aliases

arxiv: 1108.1025 · arxiv_version: 1108.1025v2 · doi: 10.48550/arxiv.1108.1025 · pith_short_12: X3IVQLDNE5FX · pith_short_16: X3IVQLDNE5FXJNPL · pith_short_8: X3IVQLDN

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/X3IVQLDNE5FXJNPL25GF5RF2S5 \
  | 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: bed1582c6d274b74b5ebd74c5ec4ba974fc9266bb0c5cf4b71ce27a452fb68c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "220fc1e7355bf99120df9f84e730784a9935904750d349882698c443db7681b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-08-04T09:10:57Z",
    "title_canon_sha256": "1d2e08ff45cc64ae58cfa7b108d724cf8bdaa60f72eef33250355eb602457c2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1025",
    "kind": "arxiv",
    "version": 2
  }
}