Pith Number

pith:3E3OYOXN

pith:2013:3E3OYOXN7LOE6SM4DSENLNC3MU

not attested not anchored not stored refs pending

Residual symmetries in the lepton mass matrices

Walter Grimus

arxiv:1310.6263 v1 · 2013-10-23 · 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{3E3OYOXN7LOE6SM4DSENLNC3MU}

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	2026-05-18T01:46:50.659143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d936ec3aedfadc4f499c1c88d5b45b6506500997c5a78690a73a04950eb1b921

Aliases

arxiv: 1310.6263 · arxiv_version: 1310.6263v1 · doi: 10.48550/arxiv.1310.6263 · pith_short_12: 3E3OYOXN7LOE · pith_short_16: 3E3OYOXN7LOE6SM4 · pith_short_8: 3E3OYOXN

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/3E3OYOXN7LOE6SM4DSENLNC3MU \
  | 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: d936ec3aedfadc4f499c1c88d5b45b6506500997c5a78690a73a04950eb1b921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a010eaa84cef81c553c5a1894870268da041178a42c4f86f925507d845fc8ee9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-10-23T15:37:04Z",
    "title_canon_sha256": "eb6e316ca0c7eaf0e1b96c6b44289e4024f027e4f80dbbcc0fa58d14423f0e62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6263",
    "kind": "arxiv",
    "version": 1
  }
}