Pith Number

pith:2P7MMCEZ

pith:2006:2P7MMCEZOVNNXKHKJUISHUQHPE

not attested not anchored not stored refs pending

Numerical Calabi-Yau metrics

Michael R. Douglas, Rene Reinbacher, Robert L. Karp, Sergio Lukic

arxiv:hep-th/0612075 v1 · 2006-12-11 · 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{2P7MMCEZOVNNXKHKJUISHUQHPE}

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

2 papers in Pith

What to do with a Ricci-flat Calabi--Yau metric?

GlobalCY I: A JAX Framework for Globally Defined and Symmetry-Aware Neural K\"ahler Potentials

Receipt and verification

First computed	2026-07-04T15:31:43.740811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3fec60899755adba8ea4d1123d20779137a223eca1f2904af40056ee3a3d4bc

Aliases

arxiv: hep-th/0612075 · arxiv_version: hep-th/0612075v1 · doi: 10.48550/arxiv.hep-th/0612075 · pith_short_12: 2P7MMCEZOVNN · pith_short_16: 2P7MMCEZOVNNXKHK · pith_short_8: 2P7MMCEZ

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/2P7MMCEZOVNNXKHKJUISHUQHPE \
  | 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: d3fec60899755adba8ea4d1123d20779137a223eca1f2904af40056ee3a3d4bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7107363e45a09767668eb4bf6fa4bd2aefd1c80fcf4b1bf02a51559b027b252",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-11T20:31:56Z",
    "title_canon_sha256": "541694bd07d23f7ccff33d17813e9cc9aa92772c16a2b275d557ab40ca92efda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612075",
    "kind": "arxiv",
    "version": 1
  }
}