Pith Number

pith:EKBUWJ3D

pith:2020:EKBUWJ3DRMO4QM7TGUSJZTPE2N

not attested not anchored not stored refs pending

Quark and lepton flavors with common modulus $\tau$ in $A_4$ modular symmetry

Hiroshi Okada, Morimitsu Tanimoto

arxiv:2005.00775 v1 · 2020-05-02 · 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{EKBUWJ3DRMO4QM7TGUSJZTPE2N}

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.

Cited by

1 paper in Pith

Quark hierarchies and CP violation from the Siegel modular group

Receipt and verification

First computed	2026-07-05T01:00:00.597638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22834b27638b1dc833f335249ccde4d3513874547316639a48117b2d287426de

Aliases

arxiv: 2005.00775 · arxiv_version: 2005.00775v1 · doi: 10.48550/arxiv.2005.00775 · pith_short_12: EKBUWJ3DRMO4 · pith_short_16: EKBUWJ3DRMO4QM7T · pith_short_8: EKBUWJ3D

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/EKBUWJ3DRMO4QM7TGUSJZTPE2N \
  | 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: 22834b27638b1dc833f335249ccde4d3513874547316639a48117b2d287426de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5686861dfec28a7b4a3ea6e77458800578a393119c2558ada3d238a5d952e67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-05-02T09:58:36Z",
    "title_canon_sha256": "cc5b8f188cf2df373dc8b4418daa75d8c4d8e91dc3da74d81f5cb1978977837f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.00775",
    "kind": "arxiv",
    "version": 1
  }
}