Pith Number

pith:ZL2VBJJG

pith:1999:ZL2VBJJGCZ2W7CVPBAJWCJKFGD

not attested not anchored not stored refs pending

Holomorphic vector bundles on primary Kodaira surfaces

Marian Aprodu, Matei Toma, Vasile Brinzanescu

arxiv:math/9909136 v1 · 1999-09-23 · math.CV · 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{ZL2VBJJGCZ2W7CVPBAJWCJKFGD}

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	2026-05-18T03:06:35.249860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf550a52616756f8aaf081361254530ed1e01ab9d3c9a00208597b95e411257

Aliases

arxiv: math/9909136 · arxiv_version: math/9909136v1 · doi: 10.48550/arxiv.math/9909136 · pith_short_12: ZL2VBJJGCZ2W · pith_short_16: ZL2VBJJGCZ2W7CVP · pith_short_8: ZL2VBJJG

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/ZL2VBJJGCZ2W7CVPBAJWCJKFGD \
  | 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: caf550a52616756f8aaf081361254530ed1e01ab9d3c9a00208597b95e411257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb3c52ec462c08f502788590fd31eefc5fa040a8af25c9e9369da1e24eae127c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "1999-09-23T13:42:18Z",
    "title_canon_sha256": "8877bfa2d45e188bffb7759970d55f9f419b2f5e7182fef6a0055d3e653d5858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9909136",
    "kind": "arxiv",
    "version": 1
  }
}