Pith Number

pith:C6N3PB7R

pith:1999:C6N3PB7R55DG3HF24XFXTSAHKM

not attested not anchored not stored refs pending

Stability of the Lepton-Flavor Mixing Matrix Against Quantum Corrections

Kek), Mie Univ.), N. Haba (Ohio State Univ., N. Okamura (Theory Group

arxiv:hep-ph/9906481 v1 · 1999-06-24 · 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{C6N3PB7R55DG3HF24XFXTSAHKM}

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	2026-05-18T04:13:17.363129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

179bb787f1ef466d9cbae5cb79c80753341c2911b7cf742b03f3a3fc18516e9c

Aliases

arxiv: hep-ph/9906481 · arxiv_version: hep-ph/9906481v1 · doi: 10.48550/arxiv.hep-ph/9906481 · pith_short_12: C6N3PB7R55DG · pith_short_16: C6N3PB7R55DG3HF2 · pith_short_8: C6N3PB7R

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/C6N3PB7R55DG3HF24XFXTSAHKM \
  | 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: 179bb787f1ef466d9cbae5cb79c80753341c2911b7cf742b03f3a3fc18516e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53be9d30af7fabab02b41374efd6a33fca5bd630ff419cdefc6460b0f6f432da",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-06-24T13:25:11Z",
    "title_canon_sha256": "6b99cbd4be70b16e5d2ab4c37b1b06215189ac598f465480e7754886b29dee06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9906481",
    "kind": "arxiv",
    "version": 1
  }
}