Pith Number

pith:GXCMB4WR

pith:2005:GXCMB4WRYJGVJPWT35YHPMADZ2

not attested not anchored not stored refs pending

Relations between quark and lepton mixing angles and matrices

Bo-Qiang Ma, Nan Li

arxiv:hep-ph/0504161 v2 · 2005-04-18 · hep-ph · astro-ph · hep-ex · nucl-ex · nucl-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXCMB4WRYJGVJPWT35YHPMADZ2}

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	2026-05-18T04:34:56.106530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35c4c0f2d1c24d54bed3df7077b003ce9fd0a3d1f0b54440682743da58c52e8b

Aliases

arxiv: hep-ph/0504161 · arxiv_version: hep-ph/0504161v2 · doi: 10.48550/arxiv.hep-ph/0504161 · pith_short_12: GXCMB4WRYJGV · pith_short_16: GXCMB4WRYJGVJPWT · pith_short_8: GXCMB4WR

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/GXCMB4WRYJGVJPWT35YHPMADZ2 \
  | 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: 35c4c0f2d1c24d54bed3df7077b003ce9fd0a3d1f0b54440682743da58c52e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067bb03821fc220f65eff2311c6830ab85d23d3e8d83339cfde0969dbe3cde1f",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ex",
      "nucl-ex",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-04-18T23:12:40Z",
    "title_canon_sha256": "dfba16c56f51711e9073e0335f5c8d470e61cbdcc652dd9e77837b94475ada7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0504161",
    "kind": "arxiv",
    "version": 2
  }
}