Pith Number

pith:4AQ4NNK3

pith:2023:4AQ4NNK32HZOFHTSKQJJ6P57OZ

not attested not anchored not stored refs pending

Neutrino Mass and Mixing with Modular Symmetry

Gui-Jun Ding, Stephen F. King

arxiv:2311.09282 v1 · 2023-11-15 · 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{4AQ4NNK32HZOFHTSKQJJ6P57OZ}

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

15 papers in Pith

Lepton mixing from the $\Delta(96)$ Modular Littlest Seesaw

Fermion mass relations in one-parameter modular models

Non-holomorphic $S^{\prime}_{4}$ modular symmetry for leptons and leptogenesis

Radiative Neutrino Mass in a Nonholomorphic $T'$ Modular Invariant Model

Finite modular Coleman-Weinberg inflation

Receipt and verification

First computed	2026-07-05T07:13:12.472494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e021c6b55bd1f2e29e7254129f3fbf764b655d34de48ab922fde1286b3cda1db

Aliases

arxiv: 2311.09282 · arxiv_version: 2311.09282v1 · doi: 10.48550/arxiv.2311.09282 · pith_short_12: 4AQ4NNK32HZO · pith_short_16: 4AQ4NNK32HZOFHTS · pith_short_8: 4AQ4NNK3

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/4AQ4NNK32HZOFHTSKQJJ6P57OZ \
  | 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: e021c6b55bd1f2e29e7254129f3fbf764b655d34de48ab922fde1286b3cda1db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "793fd1153ecbb14f485e36bb07dfd146a730ed3e21a756afd5b23511b644e9d4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-11-15T19:00:00Z",
    "title_canon_sha256": "f97cff210b7e8d6ebca0292f99287a7d409be62e14bded54f2f9c0338cade2c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.09282",
    "kind": "arxiv",
    "version": 1
  }
}