Pith Number

pith:B37BQTNN

pith:2024:B37BQTNNQ4JWZGJMMUZ5KLWAOY

not attested not anchored not stored refs pending

Finite modular symmetries and the strong CP problem

J. T. Penedo, S. T. Petcov

arxiv:2404.08032 v3 · 2024-04-11 · 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{B37BQTNNQ4JWZGJMMUZ5KLWAOY}

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

3 papers in Pith

Fermion mass relations in one-parameter modular models

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

Quark hierarchies and CP violation from the Siegel modular group

Receipt and verification

First computed	2026-07-05T09:24:57.451450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0efe184dad87136c992c6533d52ec076163a87dff67f5c104a977ed096b5ede4

Aliases

arxiv: 2404.08032 · arxiv_version: 2404.08032v3 · doi: 10.48550/arxiv.2404.08032 · pith_short_12: B37BQTNNQ4JW · pith_short_16: B37BQTNNQ4JWZGJM · pith_short_8: B37BQTNN

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/B37BQTNNQ4JWZGJMMUZ5KLWAOY \
  | 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: 0efe184dad87136c992c6533d52ec076163a87dff67f5c104a977ed096b5ede4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c5fcd0fc0d8aeed5a3f1300779bc13b24987a8f2a37e12180468a7c9a3cb51",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-04-11T18:00:00Z",
    "title_canon_sha256": "389bec3768f99d7d47a5bfba85ba1d8fdd433369cb237dc4236f3b2bcf3fdd01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.08032",
    "kind": "arxiv",
    "version": 3
  }
}