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Pith Number

pith:PEAPZK5E

pith:2001:PEAPZK5ESJLVZ7MAIN52QWVCJM
not attested not anchored not stored refs pending

Quark Mass Matrices from a Softly Broken U(1) Symmetry

Ernest Ma (UC Riverside)

arxiv:hep-ph/0104181 v1 · 2001-04-18 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PEAPZK5ESJLVZ7MAIN52QWVCJM}

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 2026-05-18T02:36:47.612788Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7900fcaba492575cfd80437ba85aa24b062328e621f81dff1b924cabf2aaea88

Aliases

arxiv: hep-ph/0104181 · arxiv_version: hep-ph/0104181v1 · doi: 10.48550/arxiv.hep-ph/0104181 · pith_short_12: PEAPZK5ESJLV · pith_short_16: PEAPZK5ESJLVZ7MA · pith_short_8: PEAPZK5E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PEAPZK5ESJLVZ7MAIN52QWVCJM \
  | 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: 7900fcaba492575cfd80437ba85aa24b062328e621f81dff1b924cabf2aaea88
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9054f52056d7e88265c6af44545866be2f80e467359be4f0253ac0361d4468b3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-04-18T16:08:26Z",
    "title_canon_sha256": "a0e3fbaf60c270a95273fbbcb7b2b08cef79162b1d274050a43bcfd217f8d998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0104181",
    "kind": "arxiv",
    "version": 1
  }
}