Pith Number

pith:VIIL6BZ3

pith:2011:VIIL6BZ3OXVCPHBJYNPCOBDEIU

not attested not anchored not stored refs pending

Annihilating the cohomology of group schemes

Bhargav Bhatt

arxiv:1109.2383 v1 · 2011-09-12 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VIIL6BZ3OXVCPHBJYNPCOBDEIU}

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	2026-05-18T04:13:37.810308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa10bf073b75ea279c29c35e27046445373acaf31b62957c916ad6ab25870a44

Aliases

arxiv: 1109.2383 · arxiv_version: 1109.2383v1 · doi: 10.48550/arxiv.1109.2383 · pith_short_12: VIIL6BZ3OXVC · pith_short_16: VIIL6BZ3OXVCPHBJ · pith_short_8: VIIL6BZ3

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/VIIL6BZ3OXVCPHBJYNPCOBDEIU \
  | 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: aa10bf073b75ea279c29c35e27046445373acaf31b62957c916ad6ab25870a44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7a0ba0d4eb47f32d05cfd4f48ca33e996647884322c57252518dde3f3435a6f",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-12T07:13:12Z",
    "title_canon_sha256": "4203771315d63557421653df80ead6656f00fd8c8f702ce5f4aa263094bb0955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2383",
    "kind": "arxiv",
    "version": 1
  }
}