Pith Number

pith:3362NDXR

pith:2006:3362NDXR53ULY25IMHGJQRVFOM

not attested not anchored not stored refs pending

Quark Mass Ratios and Mixing Angles from SU(3) Family Gauge Symmetry

Maurizio Piai, Thomas Appelquist, Yang Bai

arxiv:hep-ph/0603104 v2 · 2006-03-14 · 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{3362NDXR53ULY25IMHGJQRVFOM}

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.

Cited by

1 paper in Pith

Family Unification in $SO(16)$ Grand Unification

Receipt and verification

First computed	2026-07-04T17:01:41.724159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

defda68ef1eee8bc6ba861cc9846a573007b9792a2f1e74db1b5151ab6757caa

Aliases

arxiv: hep-ph/0603104 · arxiv_version: hep-ph/0603104v2 · doi: 10.48550/arxiv.hep-ph/0603104 · pith_short_12: 3362NDXR53UL · pith_short_16: 3362NDXR53ULY25I · pith_short_8: 3362NDXR

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/3362NDXR53ULY25IMHGJQRVFOM \
  | 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: defda68ef1eee8bc6ba861cc9846a573007b9792a2f1e74db1b5151ab6757caa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b8dda7203437712b28caee2fa7a36b00ea33fabfe74144b147631f67040d8ea",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-03-14T19:36:41Z",
    "title_canon_sha256": "a7f3b8c2fb19ec185ab0ef2808f04ed0348d51055bbb13054ff7da809b4db80f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0603104",
    "kind": "arxiv",
    "version": 2
  }
}