Pith Number

pith:RVJ4KQZI

pith:2015:RVJ4KQZIQOM57B2P4OMLFCQ3GF

not attested not anchored not stored refs pending

The Atiyah-Bott formula for the cohomology of the moduli space of bundles on a curve

Dennis Gaitsgory

arxiv:1505.02331 v2 · 2015-05-10 · 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{RVJ4KQZIQOM57B2P4OMLFCQ3GF}

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.

Cited by

2 papers in Pith

What is the Geometric Langlands Correspondence about?

Note on factorization categories

Receipt and verification

First computed	2026-05-17T23:42:43.903236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d53c543288399df874fe398b28a1b315382f3dafb8d1011800d6fa4f0361c5d

Aliases

arxiv: 1505.02331 · arxiv_version: 1505.02331v2 · doi: 10.48550/arxiv.1505.02331 · pith_short_12: RVJ4KQZIQOM5 · pith_short_16: RVJ4KQZIQOM57B2P · pith_short_8: RVJ4KQZI

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/RVJ4KQZIQOM57B2P4OMLFCQ3GF \
  | 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: 8d53c543288399df874fe398b28a1b315382f3dafb8d1011800d6fa4f0361c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4c4adcf797a0a99d314b2b91f5432f678d1ab6e29a4d07a3c21eafd7d13d6c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-10T00:15:22Z",
    "title_canon_sha256": "f46c0867872394d31a950d907630abcd947f19575ae373394311ef0665b0658f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02331",
    "kind": "arxiv",
    "version": 2
  }
}