Pith Number

pith:X2QIVSL7

pith:2019:X2QIVSL7FNSUWIYPI5VFWQGLA4

not attested not anchored not stored refs pending

Numerical Metrics, Curvature Expansions and Calabi-Yau Manifolds

James Gray, Wei Cui

arxiv:1912.11068 v1 · 2019-12-23 · 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{X2QIVSL7FNSUWIYPI5VFWQGLA4}

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

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds

Receipt and verification

First computed	2026-07-05T01:12:32.650254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bea08ac97f2b654b230f476a5b40cb0705ab9725e779940452b2a3b47f5bcb93

Aliases

arxiv: 1912.11068 · arxiv_version: 1912.11068v1 · doi: 10.48550/arxiv.1912.11068 · pith_short_12: X2QIVSL7FNSU · pith_short_16: X2QIVSL7FNSUWIYP · pith_short_8: X2QIVSL7

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/X2QIVSL7FNSUWIYPI5VFWQGLA4 \
  | 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: bea08ac97f2b654b230f476a5b40cb0705ab9725e779940452b2a3b47f5bcb93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be1f92be53d9c5f483727bc959cc45cf712a458769a4c3ed528714f51d5064ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-23T19:16:14Z",
    "title_canon_sha256": "8e7998bc84a72fb2db92f748c02d3e4e039bb406a4c8d5de4d61545eae5ebf71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.11068",
    "kind": "arxiv",
    "version": 1
  }
}