Pith Number

pith:GMZJNBCR

pith:2006:GMZJNBCR4OXMLIUXSVDVXDR5NU

not attested not anchored not stored refs pending

Large Lepton Mixings from Continuous Symmetries

Lisa Everett, Pierre Ramond

arxiv:hep-ph/0608069 v2 · 2006-08-05 · 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{GMZJNBCR4OXMLIUXSVDVXDR5NU}

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	2026-05-18T04:38:27.834917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3332968451e3aec5a29795475b8e3d6d0dbf146cc98dcaf7654d19745bbe7951

Aliases

arxiv: hep-ph/0608069 · arxiv_version: hep-ph/0608069v2 · doi: 10.48550/arxiv.hep-ph/0608069 · pith_short_12: GMZJNBCR4OXM · pith_short_16: GMZJNBCR4OXMLIUX · pith_short_8: GMZJNBCR

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/GMZJNBCR4OXMLIUXSVDVXDR5NU \
  | 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: 3332968451e3aec5a29795475b8e3d6d0dbf146cc98dcaf7654d19745bbe7951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4a376c029af7d86b0f4a77b1342004d8a2c0789bc35cf7a9f61bdadf3adcdaa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-08-05T14:15:54Z",
    "title_canon_sha256": "a494bc86813f007ac0605a16f43729ad5f7c3f700a45d5470de4e887244eb43b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0608069",
    "kind": "arxiv",
    "version": 2
  }
}