Pith Number

pith:QJPSF7CZ

pith:2023:QJPSF7CZWNZALJXZVNHMJPVKAO

not attested not anchored not stored refs pending

Quark-lepton mass relations from modular flavor symmetry

Jos\'E W. F. Valle, Mu-Chun Chen, Omar Medina, Stephen F. King

arxiv:2312.09255 v3 · 2023-12-14 · 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{QJPSF7CZWNZALJXZVNHMJPVKAO}

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

2 papers in Pith

Fermion mass relations in one-parameter modular models

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

Receipt and verification

First computed	2026-07-05T08:19:21.364007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

825f22fc59b37205a6f9ab4ec4beaa03aa1b5650f204d6cf0ad79efeb80a3d8e

Aliases

arxiv: 2312.09255 · arxiv_version: 2312.09255v3 · doi: 10.48550/arxiv.2312.09255 · pith_short_12: QJPSF7CZWNZA · pith_short_16: QJPSF7CZWNZALJXZ · pith_short_8: QJPSF7CZ

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/QJPSF7CZWNZALJXZVNHMJPVKAO \
  | 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: 825f22fc59b37205a6f9ab4ec4beaa03aa1b5650f204d6cf0ad79efeb80a3d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb28887cd5e7c8c20030fe4ebe46fe2a27e7a824be7532cb839e63191eff7d1a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-12-14T18:59:58Z",
    "title_canon_sha256": "50f9687f05d181f1d2e8f51bda187118c41e1768f8f8dd33b5853a58d86f67a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.09255",
    "kind": "arxiv",
    "version": 3
  }
}