Pith Number

pith:PYOJMF3C

pith:2007:PYOJMF3CM7S36OEEU6YTRSKPJV

not attested not anchored not stored refs pending

Notes on Local Grand Unification

Michael Ratz

arxiv:0711.1582 v1 · 2007-11-10 · hep-ph · 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{PYOJMF3CM7S36OEEU6YTRSKPJV}

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

Serendipitous supersymmetric solution to the strong CP problem

Receipt and verification

First computed	2026-05-18T04:09:04.652021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e1c96176267e5bf3884a7b138c94f4d605cb593908e1a4fa2b95d3f11147cd7

Aliases

arxiv: 0711.1582 · arxiv_version: 0711.1582v1 · doi: 10.48550/arxiv.0711.1582 · pith_short_12: PYOJMF3CM7S3 · pith_short_16: PYOJMF3CM7S36OEE · pith_short_8: PYOJMF3C

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/PYOJMF3CM7S36OEEU6YTRSKPJV \
  | 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: 7e1c96176267e5bf3884a7b138c94f4d605cb593908e1a4fa2b95d3f11147cd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a25bfeaa07bac0b76347fb9f017f1348850f5dc456fd3233f1866b84bbf4e34",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-11-10T10:31:29Z",
    "title_canon_sha256": "8ad13a093924759f58e9050b1bd8fe8596092db716925f4f2df07e5ea9488d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1582",
    "kind": "arxiv",
    "version": 1
  }
}