Pith Number

pith:KPJI5CB7

pith:2009:KPJI5CB7J34GUVI7OYQTZC5MYU

not attested not anchored not stored refs pending

Affine Gindikin-Karpelevich formula via Uhlenbeck spaces

Alexander Braverman, David Kazhdan, Michael Finkelberg

arxiv:0912.5132 v4 · 2009-12-28 · 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{KPJI5CB7J34GUVI7OYQTZC5MYU}

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	2026-05-18T04:06:21.144268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53d28e883f4ef86a551f76213c8bacc528780dea0245f3a4eba5a38ff7e32ab5

Aliases

arxiv: 0912.5132 · arxiv_version: 0912.5132v4 · doi: 10.48550/arxiv.0912.5132 · pith_short_12: KPJI5CB7J34G · pith_short_16: KPJI5CB7J34GUVI7 · pith_short_8: KPJI5CB7

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/KPJI5CB7J34GUVI7OYQTZC5MYU \
  | 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: 53d28e883f4ef86a551f76213c8bacc528780dea0245f3a4eba5a38ff7e32ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe6c330705f8599a5802b3781e8b4c169ef1d5d30c4b803edec0f7e03fc08dc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-12-28T05:31:15Z",
    "title_canon_sha256": "d144e867e93c12d716c2cd434eb6820a0c0fa9905c3e8ef9caeb2c59ee9f6e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5132",
    "kind": "arxiv",
    "version": 4
  }
}