Pith Number

pith:5RY2P4DH

pith:2012:5RY2P4DH3JMMKBSEONEBZSPFKZ

not attested not anchored not stored refs pending

Type II/F-theory Superpotentials and Ooguri-Vafa Invariants of Compact Calabi-Yau Threefolds with Three Deformations

Feng-Jun Xu, Fu-Zhong Yang

arxiv:1206.0445 v2 · 2012-06-03 · hep-th · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RY2P4DH3JMMKBSEONEBZSPFKZ}

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	2026-05-18T03:31:54.237099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec71a7f067da58c5064473481cc9e5565c1e12ba67ba425965ca29f07a4bda70

Aliases

arxiv: 1206.0445 · arxiv_version: 1206.0445v2 · doi: 10.48550/arxiv.1206.0445 · pith_short_12: 5RY2P4DH3JMM · pith_short_16: 5RY2P4DH3JMMKBSE · pith_short_8: 5RY2P4DH

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/5RY2P4DH3JMMKBSEONEBZSPFKZ \
  | 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: ec71a7f067da58c5064473481cc9e5565c1e12ba67ba425965ca29f07a4bda70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6287a845c2dac89f3533bae9f0ad3a626906c27bab42280c2c018a45942ab07a",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-06-03T13:41:25Z",
    "title_canon_sha256": "eda249b546de38390bc24d29b77b7196cc813856e2f0f83fc3d8287786397719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0445",
    "kind": "arxiv",
    "version": 2
  }
}