pith. sign in
Pith Number

pith:BWWF2NJ5

pith:2001:BWWF2NJ5K3NACHSIEOFKNQFJ7X
not attested not anchored not stored refs pending

Minimal Flavour Mixing of Quarks and Leptons

Inst. Phys.), J.L. Chkareuli (Tbilisi

arxiv:hep-ph/0109145 v2 · 2001-09-17 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BWWF2NJ5K3NACHSIEOFKNQFJ7X}

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 2026-05-18T00:36:57.260549Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0dac5d353d56da011e48238aa6c0a9fde4cc8593047f356bbf6e8be47dff7b97

Aliases

arxiv: hep-ph/0109145 · arxiv_version: hep-ph/0109145v2 · doi: 10.48550/arxiv.hep-ph/0109145 · pith_short_12: BWWF2NJ5K3NA · pith_short_16: BWWF2NJ5K3NACHSI · pith_short_8: BWWF2NJ5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BWWF2NJ5K3NACHSIEOFKNQFJ7X \
  | 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: 0dac5d353d56da011e48238aa6c0a9fde4cc8593047f356bbf6e8be47dff7b97
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "29559bf9ef4e4d0a9a7b74bc1b13d5a1a03f0d3998bb41544c6bf7e60e284a88",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-09-17T12:42:55Z",
    "title_canon_sha256": "df2707d242a58306ccc37fcdc9eb63728593fb9c8d1f872ebd4128da122e50c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0109145",
    "kind": "arxiv",
    "version": 2
  }
}