Pith Number

pith:35MZZHBJ

pith:2005:35MZZHBJQ3PACNFRGPVPXUTGRI

not attested not anchored not stored refs pending

Running Neutrino Masses, Leptonic Mixing Angles and CP-Violating Phases: From $M_{\rm Z}$ to $\Lambda_{\rm GUT}$

Jianwei Mei

arxiv:hep-ph/0502015 v3 · 2005-02-02 · 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{35MZZHBJQ3PACNFRGPVPXUTGRI}

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	2026-07-04T16:55:29.023965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df599c9c2986de0134b133eafbd2668a290b9b4ee2ed9c02bfe56fc6e9964443

Aliases

arxiv: hep-ph/0502015 · arxiv_version: hep-ph/0502015v3 · doi: 10.48550/arxiv.hep-ph/0502015 · pith_short_12: 35MZZHBJQ3PA · pith_short_16: 35MZZHBJQ3PACNFR · pith_short_8: 35MZZHBJ

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/35MZZHBJQ3PACNFRGPVPXUTGRI \
  | 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: df599c9c2986de0134b133eafbd2668a290b9b4ee2ed9c02bfe56fc6e9964443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17020f8c107847143f83b2b91cc9ffa9f47c182faaafa7739463d152aa64672d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-02-02T06:07:47Z",
    "title_canon_sha256": "0d9d7ef952bd312f23f23700d2c2ad2aa5a6433a42deb85ea6e3fd6b0ad69e00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0502015",
    "kind": "arxiv",
    "version": 3
  }
}