Pith Number

pith:WIMHPE4Q

pith:2010:WIMHPE4QT7CBVJ3PMOMHQV3M3B

not attested not anchored not stored refs pending

On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs

Thomas W. Grimm, Timo Weigand

arxiv:1006.0226 v1 · 2010-06-01 · hep-th · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WIMHPE4QT7CBVJ3PMOMHQV3M3B}

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

Heterotic-$\mathbf{F}$-theory Duality with Wilson Line Symmetry-breaking

Receipt and verification

First computed	2026-05-18T02:33:18.247442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2187793909fc41aa76f639878576cd84ec09b37cbafc271c2fddcf437d71ae0

Aliases

arxiv: 1006.0226 · arxiv_version: 1006.0226v1 · doi: 10.48550/arxiv.1006.0226 · pith_short_12: WIMHPE4QT7CB · pith_short_16: WIMHPE4QT7CBVJ3P · pith_short_8: WIMHPE4Q

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/WIMHPE4QT7CBVJ3PMOMHQV3M3B \
  | 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: b2187793909fc41aa76f639878576cd84ec09b37cbafc271c2fddcf437d71ae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e00bb630a96086beefc21739f6ac8dfd9dc2fb647a75105dce015587ece8536",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-06-01T20:00:02Z",
    "title_canon_sha256": "d7b78a75831a506f639cb0b68e50ce8203e32499e9bca2b8fb9748bd4f74fece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0226",
    "kind": "arxiv",
    "version": 1
  }
}