Pith Number

pith:2JZRYE2O

pith:2009:2JZRYE2O23PEACZZ7UO7RXTBOS

not attested not anchored not stored refs pending

Yukawa Couplings in F-theory and Non-Commutative Geometry

Cumrun Vafa, Jonathan J. Heckman, Miranda C.N. Cheng, Sergio Cecotti

arxiv:0910.0477 v2 · 2009-10-05 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JZRYE2O23PEACZZ7UO7RXTBOS}

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

Testing F-theory GUTs with the Axiverse

Receipt and verification

First computed	2026-07-04T17:31:38.900766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2731c134ed6de400b39fd1df8de61748052097a492ccbc6fdaf2bec4f7fbdc8

Aliases

arxiv: 0910.0477 · arxiv_version: 0910.0477v2 · doi: 10.48550/arxiv.0910.0477 · pith_short_12: 2JZRYE2O23PE · pith_short_16: 2JZRYE2O23PEACZZ · pith_short_8: 2JZRYE2O

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/2JZRYE2O23PEACZZ7UO7RXTBOS \
  | 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: d2731c134ed6de400b39fd1df8de61748052097a492ccbc6fdaf2bec4f7fbdc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce35ebe3cc3ed33e00765961d1a7ae413fd766a692e423c2522b6a27dc8ad1a0",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-10-05T19:46:49Z",
    "title_canon_sha256": "3b6504b2362da6cee092b424c83813b74117f6652768f457161375227b6266d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0477",
    "kind": "arxiv",
    "version": 2
  }
}