Pith Number

pith:34GWNO5V

pith:2004:34GWNO5VXLAUDQWOPUSSMDCW3U

not attested not anchored not stored refs pending

Dual Models of Gauge Unification in Various Dimensions

Koichi Hamaguchi, Michael Ratz, Oleg Lebedev, Wilfried Buchmuller

arxiv:hep-ph/0412318 v1 · 2004-12-21 · 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{34GWNO5VXLAUDQWOPUSSMDCW3U}

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.

Receipt and verification

First computed	2026-05-18T04:35:24.776970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df0d66bbb5bac141c2ce7d25260c56dd33a33c02977529747598180702082ddd

Aliases

arxiv: hep-ph/0412318 · arxiv_version: hep-ph/0412318v1 · doi: 10.48550/arxiv.hep-ph/0412318 · pith_short_12: 34GWNO5VXLAU · pith_short_16: 34GWNO5VXLAUDQWO · pith_short_8: 34GWNO5V

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/34GWNO5VXLAUDQWOPUSSMDCW3U \
  | 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: df0d66bbb5bac141c2ce7d25260c56dd33a33c02977529747598180702082ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a763a8677015da141a56504823d438d31508d8ebe8f6c96da990808aa6737cf3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-12-21T17:47:17Z",
    "title_canon_sha256": "9d667f803ee41da67473418afeca503ea8ef84da462257ed6e29edb2fd096e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0412318",
    "kind": "arxiv",
    "version": 1
  }
}