Pith Number

pith:V4XFPGMV

pith:2011:V4XFPGMVCK76ZEVJSTZ7WMOVTE

not attested not anchored not stored refs pending

Varieties with vanishing holomorphic Euler characteristic

J.A. Chen, O. Debarre, Z. Jiang

arxiv:1105.3418 v1 · 2011-05-17 · 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{V4XFPGMVCK76ZEVJSTZ7WMOVTE}

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	2026-05-18T04:22:00.064473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af2e57999512bfec92a994f3fb31d5990cb9e8c547bd49f913942a4dc2758e16

Aliases

arxiv: 1105.3418 · arxiv_version: 1105.3418v1 · doi: 10.48550/arxiv.1105.3418 · pith_short_12: V4XFPGMVCK76 · pith_short_16: V4XFPGMVCK76ZEVJ · pith_short_8: V4XFPGMV

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/V4XFPGMVCK76ZEVJSTZ7WMOVTE \
  | 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: af2e57999512bfec92a994f3fb31d5990cb9e8c547bd49f913942a4dc2758e16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "300fc4c171b87903a1c05f7d15703646f04e6531c57d882fb98ef53f7c2995e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-17T15:54:41Z",
    "title_canon_sha256": "285dba6eb14c396f30cb1bc77e002f9f3fac6e2b1e61f516336114a1a3b595a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3418",
    "kind": "arxiv",
    "version": 1
  }
}