Pith Number

pith:7XHNS3PT

pith:2000:7XHNS3PT3FN4JY2WOUMVTGBYBW

not attested not anchored not stored refs pending

Calabi-Yau Manifolds Over Finite Fields, I

Fernando Rodriguez-Villegas, Philip Candelas, Xenia de la Ossa

arxiv:hep-th/0012233 v1 · 2000-12-24 · 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{7XHNS3PT3FN4JY2WOUMVTGBYBW}

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

Noncommutative Cartier Formulae

Receipt and verification

First computed	2026-07-04T14:31:28.167955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdced96df3d95bc4e35675195998380d90a3ba738867cec500d03bbc3e7bd75f

Aliases

arxiv: hep-th/0012233 · arxiv_version: hep-th/0012233v1 · doi: 10.48550/arxiv.hep-th/0012233 · pith_short_12: 7XHNS3PT3FN4 · pith_short_16: 7XHNS3PT3FN4JY2W · pith_short_8: 7XHNS3PT

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/7XHNS3PT3FN4JY2WOUMVTGBYBW \
  | 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: fdced96df3d95bc4e35675195998380d90a3ba738867cec500d03bbc3e7bd75f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b37a443f77371c341def4d05e9fd04762a12769e5154f94e7709d8a67738bb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-12-24T15:05:07Z",
    "title_canon_sha256": "91f72b13f7104ad447ed93f0f435d62adf8582bb06f8942ad587c25d6556ef3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0012233",
    "kind": "arxiv",
    "version": 1
  }
}