Pith Number

pith:5CZBPY5B

pith:2013:5CZBPY5BDLILE6ZTCZO52QUMO6

not attested not anchored not stored refs pending

All Complete Intersection Calabi-Yau Four-Folds

Alexander S. Haupt, Andre Lukas, James Gray

arxiv:1303.1832 v2 · 2013-03-07 · 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{5CZBPY5BDLILE6ZTCZO52QUMO6}

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	2026-05-18T03:18:29.036183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8b217e3a11ad0b27b33165ddd428c7793d9b8dd0d8246b45cd516083435f5f8

Aliases

arxiv: 1303.1832 · arxiv_version: 1303.1832v2 · doi: 10.48550/arxiv.1303.1832 · pith_short_12: 5CZBPY5BDLIL · pith_short_16: 5CZBPY5BDLILE6ZT · pith_short_8: 5CZBPY5B

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/5CZBPY5BDLILE6ZTCZO52QUMO6 \
  | 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: e8b217e3a11ad0b27b33165ddd428c7793d9b8dd0d8246b45cd516083435f5f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4895cb5f23d7d79d9c44ea6d31e2ee9a3495fd21a95a2f42b437f19ade636d52",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-03-07T21:26:19Z",
    "title_canon_sha256": "4fbfa4253dacb8558bd3aa7e2b688de5f257ee540a2701f146709db2f6e911e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1832",
    "kind": "arxiv",
    "version": 2
  }
}