Pith Number

pith:R74Z4JG4

pith:2010:R74Z4JG45LC7K2AYE5ILMHMK6G

not attested not anchored not stored refs pending

On the stability of weight spaces of enveloping algebra in prime characteristic

Gil Vernik

arxiv:1011.2318 v1 · 2010-11-10 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R74Z4JG45LC7K2AYE5ILMHMK6G}

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	2026-05-18T04:36:30.578185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ff99e24dceac5f568182750b61d8af18e3140b8387145a3d97629cd143a9c83

Aliases

arxiv: 1011.2318 · arxiv_version: 1011.2318v1 · doi: 10.48550/arxiv.1011.2318 · pith_short_12: R74Z4JG45LC7 · pith_short_16: R74Z4JG45LC7K2AY · pith_short_8: R74Z4JG4

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/R74Z4JG45LC7K2AYE5ILMHMK6G \
  | 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: 8ff99e24dceac5f568182750b61d8af18e3140b8387145a3d97629cd143a9c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4755446483e52e94142b248d8e6841180daecbb133692a3599499a1581437c0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-11-10T09:13:38Z",
    "title_canon_sha256": "8d029aadb970fea82bd5d7ab893e82196fe08c2a6ebbb294c44976ccdd067f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2318",
    "kind": "arxiv",
    "version": 1
  }
}