Pith Number

pith:WTYX2HQ4

pith:2008:WTYX2HQ4Y6YY2GLG45W4HQPR6K

not attested not anchored not stored refs pending

Second cohomology groups for algebraic groups and their Frobenius kernels

Caroline B. Wright

arxiv:0809.2833 v2 · 2008-09-17 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTYX2HQ4Y6YY2GLG45W4HQPR6K}

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	2026-05-18T04:38:51.013620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f17d1e1cc7b18d1966e76dc3c1f1f2806a7bda0b332f1793d920855d1c5893

Aliases

arxiv: 0809.2833 · arxiv_version: 0809.2833v2 · doi: 10.48550/arxiv.0809.2833 · pith_short_12: WTYX2HQ4Y6YY · pith_short_16: WTYX2HQ4Y6YY2GLG · pith_short_8: WTYX2HQ4

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/WTYX2HQ4Y6YY2GLG45W4HQPR6K \
  | 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: b4f17d1e1cc7b18d1966e76dc3c1f1f2806a7bda0b332f1793d920855d1c5893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bcb9f03c8ac94efa067deaf1f59b2f34da472702f9966e180101c63ec378be4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-09-17T00:47:42Z",
    "title_canon_sha256": "687f7292515dbaae1c0d6975e87fb6a97566e2c817bce4b9b44b67b6697bf6d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2833",
    "kind": "arxiv",
    "version": 2
  }
}