Pith Number

pith:VVEQANNQ

pith:2012:VVEQANNQRVYMD5BTI5EAMTRQ5V

not attested not anchored not stored refs pending

Rigidity and vanishing of basic Dolbeault cohomology of Sasakian manifolds

Dirk Toeben, Hiraku Nozawa, Oliver Goertsches

arxiv:1206.2803 v1 · 2012-06-13 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVEQANNQRVYMD5BTI5EAMTRQ5V}

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	2026-05-18T00:21:01.119944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad490035b08d70c1f4334748064e30ed6f89eb12391a4f1cce26791c6a82968b

Aliases

arxiv: 1206.2803 · arxiv_version: 1206.2803v1 · doi: 10.48550/arxiv.1206.2803 · pith_short_12: VVEQANNQRVYM · pith_short_16: VVEQANNQRVYMD5BT · pith_short_8: VVEQANNQ

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/VVEQANNQRVYMD5BTI5EAMTRQ5V \
  | 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: ad490035b08d70c1f4334748064e30ed6f89eb12391a4f1cce26791c6a82968b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c0247817b6b095fb27b51eed5992908338ecdfefa7bb4dc34f614bd70e311e1",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-13T13:40:45Z",
    "title_canon_sha256": "f20ed293a2afe838ab0b05a04478dbe891e50ff07518c257802b768e6a303f22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2803",
    "kind": "arxiv",
    "version": 1
  }
}