Pith Number

pith:XNRZ4LAI

pith:2013:XNRZ4LAIC7P3JEKHS2IJX2S6YH

not attested not anchored not stored refs pending

Exponentiation of commuting nilpotent varieties

Paul Sobaje

arxiv:1306.5348 v3 · 2013-06-22 · 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{XNRZ4LAIC7P3JEKHS2IJX2S6YH}

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	2026-05-18T02:42:25.990266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb639e2c0817dfb4914796909bea5ec1eea07862625cea580d345856a77bb41d

Aliases

arxiv: 1306.5348 · arxiv_version: 1306.5348v3 · doi: 10.48550/arxiv.1306.5348 · pith_short_12: XNRZ4LAIC7P3 · pith_short_16: XNRZ4LAIC7P3JEKH · pith_short_8: XNRZ4LAI

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/XNRZ4LAIC7P3JEKHS2IJX2S6YH \
  | 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: bb639e2c0817dfb4914796909bea5ec1eea07862625cea580d345856a77bb41d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9233367b3c19bfe3e724aaf2cc69bc0314d5c770946815554b7284f6a601c7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-06-22T19:24:29Z",
    "title_canon_sha256": "d0292c5c2bc951bab19316007a48504238e7ea1fe75063fa10e5a33abfb81b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5348",
    "kind": "arxiv",
    "version": 3
  }
}