Pith Number

pith:OZZX2JRS

pith:2012:OZZX2JRSAG2TNOIMIK75GDIM7N

not attested not anchored not stored refs pending

The Nakano vanishing theorem and a vanishing theorem of Demailly-Nadel type for holomorphic vector bundles

Hossein Raufi

arxiv:1212.4417 v1 · 2012-12-18 · 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{OZZX2JRSAG2TNOIMIK75GDIM7N}

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	2026-05-18T03:38:13.081462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76737d263201b536b90c42bfd30d0cfb6f9100d7f259feb1ce7645479320524b

Aliases

arxiv: 1212.4417 · arxiv_version: 1212.4417v1 · doi: 10.48550/arxiv.1212.4417 · pith_short_12: OZZX2JRSAG2T · pith_short_16: OZZX2JRSAG2TNOIM · pith_short_8: OZZX2JRS

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/OZZX2JRSAG2TNOIMIK75GDIM7N \
  | 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: 76737d263201b536b90c42bfd30d0cfb6f9100d7f259feb1ce7645479320524b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "897ae1a6c4bf9099aeff7868108ed5111a5ce707a40fa5810275284d0109fb57",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-12-18T16:38:43Z",
    "title_canon_sha256": "f096425fda6b5f5908abe40b8cd998f6f7604451b27b25e357009023c850de0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4417",
    "kind": "arxiv",
    "version": 1
  }
}