Pith Number

pith:DGD34PAF

pith:2010:DGD34PAFO3TUCJ5IPKLN3XBYKS

not attested not anchored not stored refs pending

Oeljeklaus-Toma manifolds admitting no complex subvarieties

Liviu Ornea, Misha Verbitsky

arxiv:1009.1101 v5 · 2010-09-06 · math.CV · 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{DGD34PAFO3TUCJ5IPKLN3XBYKS}

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	2026-05-18T04:14:38.134821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1987be3c0576e74127a87a96dddc3854aa397d11289ece9dc273829b4d0aeda2

Aliases

arxiv: 1009.1101 · arxiv_version: 1009.1101v5 · doi: 10.48550/arxiv.1009.1101 · pith_short_12: DGD34PAFO3TU · pith_short_16: DGD34PAFO3TUCJ5I · pith_short_8: DGD34PAF

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/DGD34PAFO3TUCJ5IPKLN3XBYKS \
  | 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: 1987be3c0576e74127a87a96dddc3854aa397d11289ece9dc273829b4d0aeda2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88e24d914459325dd5cd1185704f9d0580733f7ca941d0104d818fa28bcc084",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-09-06T17:37:58Z",
    "title_canon_sha256": "004d806b2e9336ea0051f97639fe60c205988d617466ad61c786b2c284cd1c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1101",
    "kind": "arxiv",
    "version": 5
  }
}