Pith Number

pith:Q5XFPD4E

pith:2006:Q5XFPD4EVITICSZ6YIZ3RCCR2T

not attested not anchored not stored refs pending

Lepton Family Symmetry and the Neutrino Mixing Matrix

Ernest Ma (UC Riverside)

arxiv:hep-ph/0606024 v1 · 2006-06-01 · 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{Q5XFPD4EVITICSZ6YIZ3RCCR2T}

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.

Receipt and verification

First computed	2026-05-18T01:39:02.478428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

876e578f84aa26814b3ec233b88851d4d4ff38177cd8572188707fe0b12f1f5b

Aliases

arxiv: hep-ph/0606024 · arxiv_version: hep-ph/0606024v1 · doi: 10.48550/arxiv.hep-ph/0606024 · pith_short_12: Q5XFPD4EVITI · pith_short_16: Q5XFPD4EVITICSZ6 · pith_short_8: Q5XFPD4E

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/Q5XFPD4EVITICSZ6YIZ3RCCR2T \
  | 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: 876e578f84aa26814b3ec233b88851d4d4ff38177cd8572188707fe0b12f1f5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6317be3c2deede7177af06afb10823cf8819547f337c17fee5ee1a5fb0387fb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-06-01T21:53:30Z",
    "title_canon_sha256": "79049c5b42ec7d7b6732f12a2a141ea8a117b268d3fe861c7d3da2a112b5cdf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0606024",
    "kind": "arxiv",
    "version": 1
  }
}