Pith. sign in
Pith Number

pith:FSARD3PX

pith:2002:FSARD3PXAOVIXXFC4PC2LLCJNX
not attested not anchored not stored refs pending

Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix

Ernest Ma (UC Riverside), J. W. F. Valle (IFIC Valencia), K. S. Babu (Oklahoma State U)

arxiv:hep-ph/0206292 v1 · 2002-06-28 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FSARD3PXAOVIXXFC4PC2LLCJNX}

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

Receipt and verification
First computed 2026-07-04T15:49:52.361349Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2c8111edf703aa8bdca2e3c5a5ac496dd98f170956ba73265be5c2285f980020

Aliases

arxiv: hep-ph/0206292 · arxiv_version: hep-ph/0206292v1 · doi: 10.48550/arxiv.hep-ph/0206292 · pith_short_12: FSARD3PXAOVI · pith_short_16: FSARD3PXAOVIXXFC · pith_short_8: FSARD3PX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FSARD3PXAOVIXXFC4PC2LLCJNX \
  | 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: 2c8111edf703aa8bdca2e3c5a5ac496dd98f170956ba73265be5c2285f980020
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d564dba977b72f88ae80b7a500a427196b54a511384a2a729b91a075e5b9120f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-06-28T16:23:37Z",
    "title_canon_sha256": "158fbf517e41626564f35056564c36df74a8409f743e0de3e6aa55d462c7da82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0206292",
    "kind": "arxiv",
    "version": 1
  }
}