Pith Number

pith:QHUMTUSF

pith:2013:QHUMTUSFOHOHX7FB4XBUTPCPB2

not attested not anchored not stored refs pending

Varieties with vanishing holomorphic Euler characteristic II

Jungkai A. Chen, Zhi Jiang

arxiv:1311.4316 v1 · 2013-11-18 · 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{QHUMTUSFOHOHX7FB4XBUTPCPB2}

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	2026-05-18T03:06:53.036475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e8c9d24571dc7bfca1e5c349bc4f0ead0da4dde2b50ccef80d2e18f197ccd9

Aliases

arxiv: 1311.4316 · arxiv_version: 1311.4316v1 · doi: 10.48550/arxiv.1311.4316 · pith_short_12: QHUMTUSFOHOH · pith_short_16: QHUMTUSFOHOHX7FB · pith_short_8: QHUMTUSF

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/QHUMTUSFOHOHX7FB4XBUTPCPB2 \
  | 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: 81e8c9d24571dc7bfca1e5c349bc4f0ead0da4dde2b50ccef80d2e18f197ccd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca5454d6f2f34ae008f5c6c4cfa4976579cb7690bb79ab5d7f5a17b1580701a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-18T10:18:49Z",
    "title_canon_sha256": "e7aad6f65f4191461d46b90fc9f40cab5ef40075fe9478e5735dcf4866c6ac5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4316",
    "kind": "arxiv",
    "version": 1
  }
}