Pith Number

pith:EJJMGTMO

pith:2020:EJJMGTMOPB6GPCAHA5WABU7AIJ

not attested not anchored not stored refs pending

Fermion masses and mixing in modular A4 Symmetry

Mohamed Abbas

arxiv:2002.01929 v4 · 2020-02-04 · 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{EJJMGTMOPB6GPCAHA5WABU7AIJ}

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	2026-07-05T02:27:19.056355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2252c34d8e787c678807076c00d3e04240a3f22e91d2c9266e6f4139d522ffcc

Aliases

arxiv: 2002.01929 · arxiv_version: 2002.01929v4 · doi: 10.48550/arxiv.2002.01929 · pith_short_12: EJJMGTMOPB6G · pith_short_16: EJJMGTMOPB6GPCAH · pith_short_8: EJJMGTMO

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/EJJMGTMOPB6GPCAHA5WABU7AIJ \
  | 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: 2252c34d8e787c678807076c00d3e04240a3f22e91d2c9266e6f4139d522ffcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fdbb230c72a220ada52e0e1e87601048b7f6508ac29d7a0584b6b8dd1d956ed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-02-04T20:21:05Z",
    "title_canon_sha256": "e16475d15a41b0e2a01a4620ac0de1a72dd98c138a8f510b48e8274b46bd76b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.01929",
    "kind": "arxiv",
    "version": 4
  }
}