Pith. sign in
Pith Number

pith:4ZHVJSW5

pith:2020:4ZHVJSW5O7S7XAO2K4TTL46ZXG
not attested not anchored not stored refs pending

Anomaly-free $U(1)^m$ extensions of the Standard Model

Davi B. Costa

arxiv:2007.08733 v5 · 2020-07-17 · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4ZHVJSW5O7S7XAO2K4TTL46ZXG}

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 2026-07-05T02:02:22.687948Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e64f54cadd77e5fb81da572735f3d9b9ba6ada57837e5a03f24958d0c1038d0c

Aliases

arxiv: 2007.08733 · arxiv_version: 2007.08733v5 · doi: 10.48550/arxiv.2007.08733 · pith_short_12: 4ZHVJSW5O7S7 · pith_short_16: 4ZHVJSW5O7S7XAO2 · pith_short_8: 4ZHVJSW5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4ZHVJSW5O7S7XAO2K4TTL46ZXG \
  | 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: e64f54cadd77e5fb81da572735f3d9b9ba6ada57837e5a03f24958d0c1038d0c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ed207e0fc5ebd2494c884c8d4b1274a243d7e832053d7e7c8b62543288ed036f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-07-17T03:05:56Z",
    "title_canon_sha256": "2edb47ad63bbfbe14e50563641b545c56ad354b60b43c33cc3531372e07cb66d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.08733",
    "kind": "arxiv",
    "version": 5
  }
}