Pith Number

pith:6D2IMGJP

pith:2001:6D2IMGJP2YOAHN32WVZDLVJCQR

not attested not anchored not stored refs pending

Gauge Unification in Higher Dimensions

Lawrence Hall, Yasunori Nomura

arxiv:hep-ph/0103125 v4 · 2001-03-12 · 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{6D2IMGJP2YOAHN32WVZDLVJCQR}

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

5 papers in Pith

Testing F-theory GUTs with the Axiverse

Maximal Abelian Flavor Symmetries

Family Unification in $SO(16)$ Grand Unification

String Axiverse

Receipt and verification

First computed	2026-07-04T15:52:07.594986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0f486192fd61c03b77ab57235d52284684162714672b0165715b36ae23eeede

Aliases

arxiv: hep-ph/0103125 · arxiv_version: hep-ph/0103125v4 · doi: 10.48550/arxiv.hep-ph/0103125 · pith_short_12: 6D2IMGJP2YOA · pith_short_16: 6D2IMGJP2YOAHN32 · pith_short_8: 6D2IMGJP

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/6D2IMGJP2YOAHN32WVZDLVJCQR \
  | 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: f0f486192fd61c03b77ab57235d52284684162714672b0165715b36ae23eeede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14577f301000a67f613e07375bd86d2470115144b6c0b5f33c240c3c157e7063",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-03-12T19:32:24Z",
    "title_canon_sha256": "821ff99c9e35292fd7845576ef4ef76ec8b0817b9c500a59138b106ee64804b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0103125",
    "kind": "arxiv",
    "version": 4
  }
}