Pith Number

pith:HDQZONPI

pith:2022:HDQZONPIMQNC6IIXRAIK6RFNII

not attested not anchored not stored refs pending

Lepton mass matrix from double covering of $A_4$ modular flavor symmetry

Hiroshi Okada, Yuta Orikasa

arxiv:2206.12629 v1 · 2022-06-25 · 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{HDQZONPIMQNC6IIXRAIK6RFNII}

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	2026-07-05T05:22:49.040197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38e19735e8641a2f21178810af44ad422b380a4a4f1b763f1ad0e3c2e927884c

Aliases

arxiv: 2206.12629 · arxiv_version: 2206.12629v1 · doi: 10.48550/arxiv.2206.12629 · pith_short_12: HDQZONPIMQNC · pith_short_16: HDQZONPIMQNC6IIX · pith_short_8: HDQZONPI

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/HDQZONPIMQNC6IIXRAIK6RFNII \
  | 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: 38e19735e8641a2f21178810af44ad422b380a4a4f1b763f1ad0e3c2e927884c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02a253701de91ffad4fd5abc95ad518947f13b2e36c9ec809d5d3f1e1891ecdf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-06-25T11:51:42Z",
    "title_canon_sha256": "6b3fd36f509c14d84aaece979547df639aed4dd3d782728c1a4239a3b4d36efb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.12629",
    "kind": "arxiv",
    "version": 1
  }
}