Pith Number

pith:3BPOEMWB

pith:2005:3BPOEMWB32ETQCD7MXCP4KV3ZX

not attested not anchored not stored refs pending

Electric Charge Quantization in SU(3)_C X SU(3)_L X U(1)_X Models

Hoang Ngoc Long, Phung Van Dong

arxiv:hep-ph/0507155 v1 · 2005-07-13 · 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{3BPOEMWB32ETQCD7MXCP4KV3ZX}

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

Towards UV-Models of Kinetic Mixing and Portal Matter VII: A Light Dark Photon in the $3_c3_L1_A1_B$ Model

Receipt and verification

First computed	2026-07-04T15:31:36.308519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d85ee232c1de8938087f65c4fe2abbcdd06f64ee39092e50e1bccd96e083923e

Aliases

arxiv: hep-ph/0507155 · arxiv_version: hep-ph/0507155v1 · doi: 10.48550/arxiv.hep-ph/0507155 · pith_short_12: 3BPOEMWB32ET · pith_short_16: 3BPOEMWB32ETQCD7 · pith_short_8: 3BPOEMWB

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/3BPOEMWB32ETQCD7MXCP4KV3ZX \
  | 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: d85ee232c1de8938087f65c4fe2abbcdd06f64ee39092e50e1bccd96e083923e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "647198e3f7352e576900d7197ef56ff424621cdbe1ca0d0a560b4d616070405d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-07-13T14:14:55Z",
    "title_canon_sha256": "63b5d9c8d3ce06977d1b8fe97ddeefa1cd07350d067944ef29911b120b5e4fbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0507155",
    "kind": "arxiv",
    "version": 1
  }
}