Pith. sign in
Pith Number

pith:S2WGRBJV

pith:2005:S2WGRBJVUBWVIEKPZ5LDWQCKSY
not attested not anchored not stored refs pending

Local Grand Unification

Koichi Hamaguchi, Michael Ratz, Oleg Lebedev, Wilfried Buchmuller

arxiv:hep-ph/0512326 v2 · 2005-12-24 · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{S2WGRBJVUBWVIEKPZ5LDWQCKSY}

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

Receipt and verification
First computed 2026-07-04T14:52:10.233096Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

96ac688535a06d54114fcf563b404a961e36705c3291777bfcdc565dfeaab95c

Aliases

arxiv: hep-ph/0512326 · arxiv_version: hep-ph/0512326v2 · doi: 10.48550/arxiv.hep-ph/0512326 · pith_short_12: S2WGRBJVUBWV · pith_short_16: S2WGRBJVUBWVIEKP · pith_short_8: S2WGRBJV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/S2WGRBJVUBWVIEKPZ5LDWQCKSY \
  | 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: 96ac688535a06d54114fcf563b404a961e36705c3291777bfcdc565dfeaab95c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d2fd3a7302af5594114faea8d0571647e7d81d1ca8dcf9bc1516cd444f6609b0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-12-24T15:34:57Z",
    "title_canon_sha256": "ef10a19c75ec1f2b3681f443129145f99ca90fc791f18cb22beb6a4bb3808580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0512326",
    "kind": "arxiv",
    "version": 2
  }
}