Pith Number

pith:5DB3EEXZ

pith:2010:5DB3EEXZNWHHFAASOX3YHPPMM4

not attested not anchored not stored refs pending

The GL_n(q)-module structure of the symmetric algebra around the Steinberg module

Jinkui Wan, Weiqiang Wang

arxiv:1012.0406 v2 · 2010-12-02 · 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{5DB3EEXZNWHHFAASOX3YHPPMM4}

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	2026-05-18T04:21:51.587310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8c3b212f96d8e72801275f783bdec6711c77ccbfb56ea727dd78a5b98204529

Aliases

arxiv: 1012.0406 · arxiv_version: 1012.0406v2 · doi: 10.48550/arxiv.1012.0406 · pith_short_12: 5DB3EEXZNWHH · pith_short_16: 5DB3EEXZNWHHFAAS · pith_short_8: 5DB3EEXZ

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/5DB3EEXZNWHHFAASOX3YHPPMM4 \
  | 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: e8c3b212f96d8e72801275f783bdec6711c77ccbfb56ea727dd78a5b98204529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eb4bc19f6bba81f043891dadd358c4f99ecbf6b88c3d6ab1498a0e0922a7516",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-12-02T13:18:20Z",
    "title_canon_sha256": "2adfc69075ad90449ab6ccd9fed3bf3439de8e0f2e4d6668cda4ff61b79118f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0406",
    "kind": "arxiv",
    "version": 2
  }
}