Pith Number

pith:ZJPUGC7L

pith:2014:ZJPUGC7LXY7IPFU7LM7Q7WBVFP

not attested not anchored not stored refs pending

On nilpotent commuting varieties and cohomology of Frobenius kernels

Nham V. Ngo

arxiv:1401.6820 v4 · 2014-01-27 · math.RT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJPUGC7LXY7IPFU7LM7Q7WBVFP}

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	2026-05-18T02:31:11.977116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca5f430bebbe3e87969f5b3f0fd8352bd12b6032def65dd1622ff3f8c6b6efb3

Aliases

arxiv: 1401.6820 · arxiv_version: 1401.6820v4 · doi: 10.48550/arxiv.1401.6820 · pith_short_12: ZJPUGC7LXY7I · pith_short_16: ZJPUGC7LXY7IPFU7 · pith_short_8: ZJPUGC7L

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/ZJPUGC7LXY7IPFU7LM7Q7WBVFP \
  | 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: ca5f430bebbe3e87969f5b3f0fd8352bd12b6032def65dd1622ff3f8c6b6efb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "736ce18536aa16a9d67bcae8b9b9d800d0b72c0d38d3ef0a86a3c4aa9edd13fc",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-01-27T12:09:50Z",
    "title_canon_sha256": "1aecae22fb569d69ccb9711f939109c3fb9dc5789e48a6c92eb51199d038ca71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6820",
    "kind": "arxiv",
    "version": 4
  }
}