Pith Number

pith:QU4J4AMY

pith:2020:QU4J4AMYBPBA4QWGYGWR4GL6K2

not attested not anchored not stored refs pending

Informationally complete characters for quark and lepton mixings

Klee Irwin, Marcelo M. Amaral, Michel Planat, Raymond Aschheim

arxiv:2005.02009 v1 · 2020-05-05 · hep-ph · math.GR · math.RT · quant-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{QU4J4AMYBPBA4QWGYGWR4GL6K2}

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	2026-07-05T01:11:13.722344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85389e01980bc20e42c6c1ad1e197e5696323586cce956f297121b43ac64b320

Aliases

arxiv: 2005.02009 · arxiv_version: 2005.02009v1 · doi: 10.48550/arxiv.2005.02009 · pith_short_12: QU4J4AMYBPBA · pith_short_16: QU4J4AMYBPBA4QWG · pith_short_8: QU4J4AMY

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/QU4J4AMYBPBA4QWGYGWR4GL6K2 \
  | 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: 85389e01980bc20e42c6c1ad1e197e5696323586cce956f297121b43ac64b320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa44bd348d42895c9dee4e5e0e24b63d2dd08f4ecfe6cb3cf6bfe90f2ce5c4bf",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-05-05T08:48:52Z",
    "title_canon_sha256": "dda0920975235bf0b3a23485020316535c355d148993dd9c58b8ad43e8fd6612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.02009",
    "kind": "arxiv",
    "version": 1
  }
}