Pith Number

pith:TRBBBW2Z

pith:2000:TRBBBW2ZIDLRGORXZRJ3SHNF7Z

not attested not anchored not stored refs pending

Predictive Grand Unified Textures for Quark and Neutrino Masses and Mixings

Anna Rossi (Padova U.), Zurab Berezhiani (L'Aquila & Tbilisi U.)

arxiv:hep-ph/0003084 v2 · 2000-03-09 · 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{TRBBBW2ZIDLRGORXZRJ3SHNF7Z}

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	2026-05-18T02:36:50.529656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c4210db5940d7133a37cc53b91da5fe4bb1b0feb6e7730adaf03e94516ba7ef

Aliases

arxiv: hep-ph/0003084 · arxiv_version: hep-ph/0003084v2 · doi: 10.48550/arxiv.hep-ph/0003084 · pith_short_12: TRBBBW2ZIDLR · pith_short_16: TRBBBW2ZIDLRGORX · pith_short_8: TRBBBW2Z

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/TRBBBW2ZIDLRGORXZRJ3SHNF7Z \
  | 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: 9c4210db5940d7133a37cc53b91da5fe4bb1b0feb6e7730adaf03e94516ba7ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21ea534de95b74d9863781675720a12af7718b7d4b13549906f5a0b2b86a9374",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-03-09T18:10:38Z",
    "title_canon_sha256": "0ac782b60bea22ce143445e6b790d618344698955f26e5610a9df8a35df3707b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0003084",
    "kind": "arxiv",
    "version": 2
  }
}