pith. sign in
Pith Number

pith:DL7ITW5J

pith:2000:DL7ITW5JHUWNLA2K7Y2MQED4BI
not attested not anchored not stored refs pending

Minimal extended flavor groups, matter fields chiral representations, and the flavor question

A. Doff, F. Pisano

arxiv:hep-ph/0007306 v1 · 2000-07-26 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DL7ITW5JHUWNLA2K7Y2MQED4BI}

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 2026-05-18T01:06:15.424195Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1afe89dba93d2cd5834afe34c8107c0a008eb23475486e4b00164437e37bc580

Aliases

arxiv: hep-ph/0007306 · arxiv_version: hep-ph/0007306v1 · doi: 10.48550/arxiv.hep-ph/0007306 · pith_short_12: DL7ITW5JHUWN · pith_short_16: DL7ITW5JHUWNLA2K · pith_short_8: DL7ITW5J
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DL7ITW5JHUWNLA2K7Y2MQED4BI \
  | 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: 1afe89dba93d2cd5834afe34c8107c0a008eb23475486e4b00164437e37bc580
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e2bdb041dd9c2aff0316c64e61267d2bfd5fd3a0b5b56c9bac012bb9c2398a5e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-07-26T21:23:40Z",
    "title_canon_sha256": "0e653a1c48686efdfc8f6e8221ac857f515b1e8767f1098339bdd7509ab0dfd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0007306",
    "kind": "arxiv",
    "version": 1
  }
}