Pith Number

pith:FTF3PPVD

pith:2021:FTF3PPVDB5F4POZ3T2O53XEGVY

not attested not anchored not stored refs pending

Free Quotients of Favorable Calabi-Yau Manifolds

James Gray, Juntao Wang

arxiv:2112.12683 v1 · 2021-12-23 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTF3PPVDB5F4POZ3T2O53XEGVY}

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.

Cited by

1 paper in Pith

Kaleidoscopes, Waves and the Prepotential

Receipt and verification

First computed	2026-07-05T04:47:10.509225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ccbb7bea30f4bc7bb3b9e9ddddc86ae14b778aca18002c327fc1f8696568208

Aliases

arxiv: 2112.12683 · arxiv_version: 2112.12683v1 · doi: 10.48550/arxiv.2112.12683 · pith_short_12: FTF3PPVDB5F4 · pith_short_16: FTF3PPVDB5F4POZ3 · pith_short_8: FTF3PPVD

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/FTF3PPVDB5F4POZ3T2O53XEGVY \
  | 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: 2ccbb7bea30f4bc7bb3b9e9ddddc86ae14b778aca18002c327fc1f8696568208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2307e26cf392a0430ddfb7defb50a16491596a0eb5a80d02a879865ac4e23fc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-23T16:25:10Z",
    "title_canon_sha256": "51a33926e3185b1aacb54124914d5e1fd777b76a3cb8648995c0045c819cee1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12683",
    "kind": "arxiv",
    "version": 1
  }
}