Pith Number

pith:ZQEFKQQE

pith:2005:ZQEFKQQEITH43KRTY7M6T2FBO3

not attested not anchored not stored refs pending

Mu-tau antisymmetry and neutrino mass matrices

Hideyuki Sawanaka, Luis Lavoura, Morimitsu Tanimoto, Satoru Kaneko, Walter Grimus

arxiv:hep-ph/0510326 v1 · 2005-10-25 · 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{ZQEFKQQEITH43KRTY7M6T2FBO3}

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	2026-07-04T16:55:52.712905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc0855420444cfcdaa33c7d9e9e8a176cd5a7aaa491b095ce15c979b2fc8ad86

Aliases

arxiv: hep-ph/0510326 · arxiv_version: hep-ph/0510326v1 · doi: 10.48550/arxiv.hep-ph/0510326 · pith_short_12: ZQEFKQQEITH4 · pith_short_16: ZQEFKQQEITH43KRT · pith_short_8: ZQEFKQQE

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/ZQEFKQQEITH43KRTY7M6T2FBO3 \
  | 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: cc0855420444cfcdaa33c7d9e9e8a176cd5a7aaa491b095ce15c979b2fc8ad86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdc83a5005e1dc50c04b7dfec7d74370eadc58336a79e9d893db71ed5edf06fc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-10-25T00:27:41Z",
    "title_canon_sha256": "b07d6426f9b2f118350de056f7e72a974306d98ce74418ef7178637baa3cae77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0510326",
    "kind": "arxiv",
    "version": 1
  }
}