Pith Number

pith:VWPMXWJF

pith:2012:VWPMXWJFJMKLXRABOSUCUUIKT7

not attested not anchored not stored refs pending

A note on Bogomolov-Gieseker type inequality for Calabi-Yau 3-folds

Yukinobu Toda

arxiv:1201.4911 v1 · 2012-01-24 · 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{VWPMXWJFJMKLXRABOSUCUUIKT7}

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	2026-05-18T04:04:04.824981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad9ecbd9254b14bbc40174a82a510a9ff19aae49ac99625ea19abe1a14e35b5d

Aliases

arxiv: 1201.4911 · arxiv_version: 1201.4911v1 · doi: 10.48550/arxiv.1201.4911 · pith_short_12: VWPMXWJFJMKL · pith_short_16: VWPMXWJFJMKLXRAB · pith_short_8: VWPMXWJF

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/VWPMXWJFJMKLXRABOSUCUUIKT7 \
  | 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: ad9ecbd9254b14bbc40174a82a510a9ff19aae49ac99625ea19abe1a14e35b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e01bed004bb2d52deb4fb5e7ba5d4774f9ae49346e4b97af8391feaca1b4d80b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-24T03:45:45Z",
    "title_canon_sha256": "5c4536867b66dea340e0d715649900f0bb088c01d4064ac240006beae268cd3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4911",
    "kind": "arxiv",
    "version": 1
  }
}