Pith Number

pith:O3YYBNKS

pith:1992:O3YYBNKS6NDWN4RK3DV4ZVDM74

not attested not anchored not stored refs pending

Elliptic Three-folds I: Ogg-Shafarevich Theory

I. Dolgachev, M. Gross

arxiv:alg-geom/9210009 v2 · 1992-10-30 · alg-geom · 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{O3YYBNKS6NDWN4RK3DV4ZVDM74}

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.

Cited by

1 paper in Pith

Boundedness of some fibered K-trivial varieties

Receipt and verification

First computed	2026-07-04T15:07:12.303453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76f180b552f34766f22ad8ebccd46cff083764ed9ac81b3cfa5ae644714e9ac2

Aliases

arxiv: alg-geom/9210009 · arxiv_version: alg-geom/9210009v2 · doi: 10.48550/arxiv.alg-geom/9210009 · pith_short_12: O3YYBNKS6NDW · pith_short_16: O3YYBNKS6NDWN4RK · pith_short_8: O3YYBNKS

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/O3YYBNKS6NDWN4RK3DV4ZVDM74 \
  | 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: 76f180b552f34766f22ad8ebccd46cff083764ed9ac81b3cfa5ae644714e9ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3b394dbd515d9c165e16f2233d68efd8a8f34f397fc8104ec77ffcf3fbc67be",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1992-10-30T23:47:33Z",
    "title_canon_sha256": "1cf36685dc180d9d55f6ea21c5119f1787ddf1d33aec492132415ed238b50ad4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9210009",
    "kind": "arxiv",
    "version": 2
  }
}