Pith Number

pith:4EQR25JB

pith:2001:4EQR25JBLMLXT7FQNDKGKTYHDZ

not attested not anchored not stored refs pending

Minimal Mixing of Quarks and Leptons in the SU(3) Theory of Flavour

C.D. Froggatt (Glasgow U.), H.B. Nielsen (Bohr Inst.), Inst. Phys.), J.L. Chkareuli (Tbilisi

arxiv:hep-ph/0109156 v4 · 2001-09-18 · 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{4EQR25JBLMLXT7FQNDKGKTYHDZ}

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	2026-07-04T15:29:33.707393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1211d75215b1779fcb068d4654f071e7d3113ab1df57eced9a9eb2039991477

Aliases

arxiv: hep-ph/0109156 · arxiv_version: hep-ph/0109156v4 · doi: 10.48550/arxiv.hep-ph/0109156 · pith_short_12: 4EQR25JBLMLX · pith_short_16: 4EQR25JBLMLXT7FQ · pith_short_8: 4EQR25JB

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/4EQR25JBLMLXT7FQNDKGKTYHDZ \
  | 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: e1211d75215b1779fcb068d4654f071e7d3113ab1df57eced9a9eb2039991477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c4bddbab07c1dfdae1541ae77dd5cbd2d1e369dedca1685ae2e2a9d50d4b3af",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-09-18T10:31:57Z",
    "title_canon_sha256": "638f4ff447c0ce6c7017918305ec6d1409f756f0de713c6c243b979a13a3f6e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0109156",
    "kind": "arxiv",
    "version": 4
  }
}