Pith Number

pith:ZPPWWCBI

pith:2013:ZPPWWCBIKPKW5WG4PKFIL3W3BS

not attested not anchored not stored refs pending

Quantization of hypercharge in gauge groups locally isomorphic but globally nonisomorphic to SU(3)_c X SU(2)_L X U(1)_Y

Kenta Yamamoto (Department of Physics Engineering, Mamoru Matsunaga, Mie University), Takaaki Hashimoto

arxiv:1302.0669 v2 · 2013-02-04 · 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{ZPPWWCBIKPKW5WG4PKFIL3W3BS}

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	2026-05-18T01:51:50.827684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbdf6b082853d56ed8dc7a8a85eedb0cad706cd095ff1b9744a93610a9fc2e8d

Aliases

arxiv: 1302.0669 · arxiv_version: 1302.0669v2 · doi: 10.48550/arxiv.1302.0669 · pith_short_12: ZPPWWCBIKPKW · pith_short_16: ZPPWWCBIKPKW5WG4 · pith_short_8: ZPPWWCBI

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/ZPPWWCBIKPKW5WG4PKFIL3W3BS \
  | 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: cbdf6b082853d56ed8dc7a8a85eedb0cad706cd095ff1b9744a93610a9fc2e8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cce58fe28d4cfe410aff0227790a0bfef26d47d80d1cba0ad3fc54b3851fa221",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-02-04T12:38:35Z",
    "title_canon_sha256": "d28c78fcbe32dca5b81eec62bd042b2a1025d79dde17f94d1506965ed0e34229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0669",
    "kind": "arxiv",
    "version": 2
  }
}