Pith Number

pith:OJF4WK7E

pith:1995:OJF4WK7E5LI2VD5NPRYYIJYGOW

not attested not anchored not stored refs pending

A Generalization of the Kodaira Vanishing and Embedding Theorem

Ying Zhu

arxiv:alg-geom/9502002 v1 · 1995-02-02 · alg-geom · dg-ga · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJF4WK7E5LI2VD5NPRYYIJYGOW}

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	2026-05-18T01:37:43.011006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

724bcb2be4ead1aa8fad7c718427067597e465c2e4c4fe451194f28c9c5582ac

Aliases

arxiv: alg-geom/9502002 · arxiv_version: alg-geom/9502002v1 · doi: 10.48550/arxiv.alg-geom/9502002 · pith_short_12: OJF4WK7E5LI2 · pith_short_16: OJF4WK7E5LI2VD5N · pith_short_8: OJF4WK7E

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/OJF4WK7E5LI2VD5NPRYYIJYGOW \
  | 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: 724bcb2be4ead1aa8fad7c718427067597e465c2e4c4fe451194f28c9c5582ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8f21ae8c8cde7a153636c9bc04962caebf916fa25f2592be793f1190cfc1699",
    "cross_cats_sorted": [
      "dg-ga",
      "math.AG",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1995-02-02T17:42:10Z",
    "title_canon_sha256": "65ebd3f46eda4d9812057eddacaada43af31eb012247dc1cc1a845cce77ccd6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9502002",
    "kind": "arxiv",
    "version": 1
  }
}