Pith Number

pith:UGOPAU73

pith:1999:UGOPAU73S3QKXDN3CXDURCCYO4

not attested not anchored not stored refs pending

GUTs and String-GUTs

Abdel P\'erez-Lorenzana, William A. Ponce

arxiv:hep-ph/9911540 v1 · 1999-11-30 · 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{UGOPAU73S3QKXDN3CXDURCCYO4}

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	2026-05-18T04:33:04.969674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19cf053fb96e0ab8dbb15c7488858771ff78cdb11c657bf3c8163821fe66ae6

Aliases

arxiv: hep-ph/9911540 · arxiv_version: hep-ph/9911540v1 · doi: 10.48550/arxiv.hep-ph/9911540 · pith_short_12: UGOPAU73S3QK · pith_short_16: UGOPAU73S3QKXDN3 · pith_short_8: UGOPAU73

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/UGOPAU73S3QKXDN3CXDURCCYO4 \
  | 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: a19cf053fb96e0ab8dbb15c7488858771ff78cdb11c657bf3c8163821fe66ae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5977d285343a62a4658ea7a89a317e4ec6845dd68bc5bf8c60cac8f70a6aa319",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-11-30T17:45:13Z",
    "title_canon_sha256": "0a8f5a2822bff94022e4e1567567b2dcc093697af468c5b2d29f4c4b600441c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9911540",
    "kind": "arxiv",
    "version": 1
  }
}