Pith Number

pith:PE57RKYW

pith:2011:PE57RKYWGRTPQ7MLTFRHUUEMFE

not attested not anchored not stored refs pending

A Horizontal Symmetry for Leptons and Quarks

C.S. Lam

arxiv:1105.4622 v1 · 2011-05-23 · 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{PE57RKYWGRTPQ7MLTFRHUUEMFE}

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	2026-05-18T02:21:50.031179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

793bf8ab163466f87d8b99627a508c291413c15e8d3c29550317a7b6ff565bc6

Aliases

arxiv: 1105.4622 · arxiv_version: 1105.4622v1 · doi: 10.48550/arxiv.1105.4622 · pith_short_12: PE57RKYWGRTP · pith_short_16: PE57RKYWGRTPQ7ML · pith_short_8: PE57RKYW

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/PE57RKYWGRTPQ7MLTFRHUUEMFE \
  | 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: 793bf8ab163466f87d8b99627a508c291413c15e8d3c29550317a7b6ff565bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2530a1bac3fd8da6242ca209e4f35aa64f32a227b6afbf992fac036a88c7c775",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-05-23T20:14:35Z",
    "title_canon_sha256": "f259ef08ef928569bd59fabf99f5c6128270e80acf8916d1299dc64cf68bb6c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4622",
    "kind": "arxiv",
    "version": 1
  }
}