Pith Number

pith:L6CAAFU3

pith:2013:L6CAAFU36WB2UBMWRRRAJMWVQ3

not attested not anchored not stored refs pending

Discrete symmetries, roots of unity, and lepton mixing

Walter Grimus

arxiv:1301.0495 v3 · 2013-01-03 · 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{L6CAAFU36WB2UBMWRRRAJMWVQ3}

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	2026-05-18T01:52:21.855115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f8400169bf583aa05968c6204b2d586e97ba1e314a73b289e81a9828f1c7782

Aliases

arxiv: 1301.0495 · arxiv_version: 1301.0495v3 · doi: 10.48550/arxiv.1301.0495 · pith_short_12: L6CAAFU36WB2 · pith_short_16: L6CAAFU36WB2UBMW · pith_short_8: L6CAAFU3

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/L6CAAFU36WB2UBMWRRRAJMWVQ3 \
  | 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: 5f8400169bf583aa05968c6204b2d586e97ba1e314a73b289e81a9828f1c7782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a5e8908a28b6b2d720fd001dae1226f3279ce5c92312519a41c6ecd810f523",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-01-03T16:33:21Z",
    "title_canon_sha256": "d74d215f2a748c1713f05a5661db820e36aca8f47d68f17bf6ef8c60bbc49112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0495",
    "kind": "arxiv",
    "version": 3
  }
}