Pith Number

pith:HZRETTMZ

pith:2018:HZRETTMZQG7HOVMNKQC4R5KVCQ

not attested not anchored not stored refs pending

$SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry

Elena Perdomo, Francisco J. de Anda, Stephen F. King

arxiv:1812.05620 v3 · 2018-12-13 · 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{HZRETTMZQG7HOVMNKQC4R5KVCQ}

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

More about modular symmetries and non-invertible properties in magnetized compactifications

Receipt and verification

First computed	2026-07-05T00:37:35.921789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e6249cd9981be77558d5405c8f555142a50465da075dd35f28e2b1b5683adbb

Aliases

arxiv: 1812.05620 · arxiv_version: 1812.05620v3 · doi: 10.48550/arxiv.1812.05620 · pith_short_12: HZRETTMZQG7H · pith_short_16: HZRETTMZQG7HOVMN · pith_short_8: HZRETTMZ

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/HZRETTMZQG7HOVMNKQC4R5KVCQ \
  | 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: 3e6249cd9981be77558d5405c8f555142a50465da075dd35f28e2b1b5683adbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f0ea4ff369558be21f639914ac0b820dc0a4a1c129bde928af3ecda65b4e29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-12-13T19:00:02Z",
    "title_canon_sha256": "9ba366fdd1deef0a650f4c0e24cda28aa2955086d06affa51e4458c5f2e5ee40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05620",
    "kind": "arxiv",
    "version": 3
  }
}