Pith Number

pith:MRGSCQEY

pith:2003:MRGSCQEYCWI3JMKBNVQ3YCXZQR

not attested not anchored not stored refs pending

Fermion Masses and Mixing Angles from SU(3) Family Symmetry and Unification

G. G. Ross, S. F. King

arxiv:hep-ph/0307190 v4 · 2003-07-15 · hep-ph

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRGSCQEYCWI3JMKBNVQ3YCXZQR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:39:06.488335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

644d2140981591b4b1416d61bc0af98472e6c9e7aa0352e05265229a256403ac

Aliases

arxiv: hep-ph/0307190 · arxiv_version: hep-ph/0307190v4 · doi: 10.48550/arxiv.hep-ph/0307190 · pith_short_12: MRGSCQEYCWI3 · pith_short_16: MRGSCQEYCWI3JMKB · pith_short_8: MRGSCQEY

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/MRGSCQEYCWI3JMKBNVQ3YCXZQR \
  | 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: 644d2140981591b4b1416d61bc0af98472e6c9e7aa0352e05265229a256403ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d73cb00b792aca36a299a241e03205c3cb71e2e3dcd934ef2222d182d44df93",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-07-15T10:56:03Z",
    "title_canon_sha256": "a58c5dfc6b4059ca180932ace84e8d0b7b22efdc19a76ad3b68e9c441a17e77d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0307190",
    "kind": "arxiv",
    "version": 4
  }
}