Pith Number

pith:PBG3KLHH

pith:2014:PBG3KLHHKEPAA4ZUXHRG4DMQDF

not attested not anchored not stored refs pending

Topological Invariants and Fibration Structure of Complete Intersection Calabi-Yau Four-Folds

Alexander S. Haupt, Andre Lukas, James Gray

arxiv:1405.2073 v2 · 2014-05-08 · hep-th · 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{PBG3KLHHKEPAA4ZUXHRG4DMQDF}

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	2026-05-18T02:42:37.024868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

784db52ce7511e007334b9e26e0d9019538bbb7c056988d8427b46414022499d

Aliases

arxiv: 1405.2073 · arxiv_version: 1405.2073v2 · doi: 10.48550/arxiv.1405.2073 · pith_short_12: PBG3KLHHKEPA · pith_short_16: PBG3KLHHKEPAA4ZU · pith_short_8: PBG3KLHH

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/PBG3KLHHKEPAA4ZUXHRG4DMQDF \
  | 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: 784db52ce7511e007334b9e26e0d9019538bbb7c056988d8427b46414022499d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8b203c29a4284f519c50e86d406652d17bf5235ce5a563322b50fa748007571",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-05-08T20:00:02Z",
    "title_canon_sha256": "8f6e7a574c9c3c448d4f360ae8afbe3dafc65a0cc249887adfc67362f67445a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2073",
    "kind": "arxiv",
    "version": 2
  }
}