Pith Number

pith:6YEYV5K4

pith:2020:6YEYV5K44SEUBKGDNSWZF4CJPE

not attested not anchored not stored refs pending

Two-loop Beta Function for Complex Scalar Electroweak Multiplets

Joachim Brod, Zachary Polonsky

arxiv:2007.13755 v2 · 2020-07-27 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YEYV5K44SEUBKGDNSWZF4CJPE}

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

Complete Two-loop Renormalization Group Equation of the Weinberg Operator

Receipt and verification

First computed	2026-07-05T01:47:01.160971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6098af55ce48940a8c36cad92f0497918cd6c1007eda1b967d2879899438f19

Aliases

arxiv: 2007.13755 · arxiv_version: 2007.13755v2 · doi: 10.48550/arxiv.2007.13755 · pith_short_12: 6YEYV5K44SEU · pith_short_16: 6YEYV5K44SEUBKGD · pith_short_8: 6YEYV5K4

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/6YEYV5K44SEUBKGDNSWZF4CJPE \
  | 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: f6098af55ce48940a8c36cad92f0497918cd6c1007eda1b967d2879899438f19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8694910bdb8b63e0f63a1e58dfdb13b82987bdd5b4b6e48f8e6c18945faed9d1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-07-27T18:00:01Z",
    "title_canon_sha256": "df72f918dcc5d87d706d1f9dc00de21d7f23526a6a7b5189fe58da4589eb193a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.13755",
    "kind": "arxiv",
    "version": 2
  }
}