Pith Number

pith:NCZTKPSJ

pith:2002:NCZTKPSJRCQB7XW2MVF6ZJ7ZZ6

not attested not anchored not stored refs pending

Family replicated gauge groups and large mixing angle solar neutrino solution

C. D. Froggatt, H. B. Nielsen, Y. Takanishi

arxiv:hep-ph/0201152 v3 · 2002-01-17 · 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{NCZTKPSJRCQB7XW2MVF6ZJ7ZZ6}

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	2026-05-18T01:06:14.413321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b3353e4988a01fdeda654beca7f9cf839b3e478868a82c5c75173aedb11c87

Aliases

arxiv: hep-ph/0201152 · arxiv_version: hep-ph/0201152v3 · doi: 10.48550/arxiv.hep-ph/0201152 · pith_short_12: NCZTKPSJRCQB · pith_short_16: NCZTKPSJRCQB7XW2 · pith_short_8: NCZTKPSJ

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/NCZTKPSJRCQB7XW2MVF6ZJ7ZZ6 \
  | 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: 68b3353e4988a01fdeda654beca7f9cf839b3e478868a82c5c75173aedb11c87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c8ba931c883cb0234598157f665e41e0faedd261141c044a4d02aaf310c2a13",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-01-17T07:26:59Z",
    "title_canon_sha256": "e2b6f47f0c1098f583dc564bc5e68ad2b1fa822bb1b9efd5e0e552e09b43f53c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0201152",
    "kind": "arxiv",
    "version": 3
  }
}