Pith Number

pith:ZHEMYSWA

pith:2021:ZHEMYSWAXHMDEECPZSJM3UQVVX

not attested not anchored not stored refs pending

Twin Modular $S_4$ with $SU(5)$ GUT

Stephen F. King, Ye-Ling Zhou

arxiv:2103.02633 v2 · 2021-03-03 · 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{ZHEMYSWAXHMDEECPZSJM3UQVVX}

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

Two-loop neutrino mass model with modular $S_4$ symmetry

Receipt and verification

First computed	2026-07-05T02:37:45.118550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c8cc4ac0b9d832104fcc92cdd215adf03bcae20fad85a2f455f99cc52ebd0f

Aliases

arxiv: 2103.02633 · arxiv_version: 2103.02633v2 · doi: 10.48550/arxiv.2103.02633 · pith_short_12: ZHEMYSWAXHMD · pith_short_16: ZHEMYSWAXHMDEECP · pith_short_8: ZHEMYSWA

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/ZHEMYSWAXHMDEECPZSJM3UQVVX \
  | 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: c9c8cc4ac0b9d832104fcc92cdd215adf03bcae20fad85a2f455f99cc52ebd0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a45f89978a634422ecdb4d35ee895b2222d872f9ec600667dedafacd8a27ebb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-03-03T19:04:12Z",
    "title_canon_sha256": "0fdeb5aa0e1a1583b7292c327a3a23d4020b155834671b812d70150724e9ba65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.02633",
    "kind": "arxiv",
    "version": 2
  }
}