Pith Number

pith:BKXZD2TR

pith:2013:BKXZD2TRPGOY4CKIMBQGVRITKX

not attested not anchored not stored refs pending

Symmetry based parameterizations of the lepton mixing matrix

Sanjeev Kumar

arxiv:1305.0692 v2 · 2013-05-03 · 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{BKXZD2TRPGOY4CKIMBQGVRITKX}

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	2026-05-18T03:17:00.076424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aaf91ea71799d8e094860606ac51355fab3198855aaf4d043c3d80ebc9b6157

Aliases

arxiv: 1305.0692 · arxiv_version: 1305.0692v2 · doi: 10.48550/arxiv.1305.0692 · pith_short_12: BKXZD2TRPGOY · pith_short_16: BKXZD2TRPGOY4CKI · pith_short_8: BKXZD2TR

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/BKXZD2TRPGOY4CKIMBQGVRITKX \
  | 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: 0aaf91ea71799d8e094860606ac51355fab3198855aaf4d043c3d80ebc9b6157

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4beeb059b2b7ddcc50d6adae39b10a0c566fdc642b7b783582ed59a0f30c256",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-05-03T13:02:55Z",
    "title_canon_sha256": "7a60de0382e465cb47e9588d4cb6fe5292ab2b11b8a9931bd6eae2b7f3493c0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0692",
    "kind": "arxiv",
    "version": 2
  }
}