Pith Number

pith:SAP32V7H

pith:2013:SAP32V7HQWKFU3D5Y2VK5OQGJF

not attested not anchored not stored refs pending

Reducibility of nilpotent commuting varieties

Nham V. Ngo, Robert M. Guralnick

arxiv:1308.2420 v1 · 2013-08-11 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SAP32V7HQWKFU3D5Y2VK5OQGJF}

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	2026-05-18T03:16:07.469445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

901fbd57e785945a6c7dc6aaaeba06496600479ace0fdcafa276ae4aa27c5eac

Aliases

arxiv: 1308.2420 · arxiv_version: 1308.2420v1 · doi: 10.48550/arxiv.1308.2420 · pith_short_12: SAP32V7HQWKF · pith_short_16: SAP32V7HQWKFU3D5 · pith_short_8: SAP32V7H

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/SAP32V7HQWKFU3D5Y2VK5OQGJF \
  | 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: 901fbd57e785945a6c7dc6aaaeba06496600479ace0fdcafa276ae4aa27c5eac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de895ae1ffb10f070bc80800f13d5a6a36586ea7bb517b8b96685d66b97ffcb9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-08-11T18:57:56Z",
    "title_canon_sha256": "d9b615cf1a00622dbf019d25613dd7db2916acc8c4d988c03eff43f81ca9bafc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2420",
    "kind": "arxiv",
    "version": 1
  }
}