Pith Number

pith:D7FBQGY4

pith:2019:D7FBQGY4SGO6DYZW3GLAJEQMPQ

not attested not anchored not stored refs pending

Dihedral flavor group as the key to understand quark and lepton flavor mixing

Gui-Jun Ding, Jun-Nan Lu

arxiv:1901.07414 v1 · 2019-01-22 · 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{D7FBQGY4SGO6DYZW3GLAJEQMPQ}

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	2026-05-17T23:55:44.825251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fca181b1c919de1e336d99604920c7c2613b2c88d9cffab6fb6c735bfa2dfec

Aliases

arxiv: 1901.07414 · arxiv_version: 1901.07414v1 · doi: 10.48550/arxiv.1901.07414 · pith_short_12: D7FBQGY4SGO6 · pith_short_16: D7FBQGY4SGO6DYZW · pith_short_8: D7FBQGY4

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/D7FBQGY4SGO6DYZW3GLAJEQMPQ \
  | 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: 1fca181b1c919de1e336d99604920c7c2613b2c88d9cffab6fb6c735bfa2dfec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b45a98e181e53f1160250da338013b75554ec00c59206448e6e5cb49a56ab1ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-01-22T15:30:53Z",
    "title_canon_sha256": "a84a03fca8cd02ba45c2cd896ef6312118edfc025cf95aba900f34f4ac10aad9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07414",
    "kind": "arxiv",
    "version": 1
  }
}