Pith Number

pith:Z3BVITOS

pith:2017:Z3BVITOSREAQVZFLYB3DUP3B5W

not attested not anchored not stored refs pending

Gauge and Yukawa coupling beta functions of two-Higgs-doublet models to three-loop order

Florian Herren, Luminita Mihaila, Matthias Steinhauser

arxiv:1712.06614 v2 · 2017-12-18 · 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{Z3BVITOSREAQVZFLYB3DUP3B5W}

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

Fixed points of the renormalisation group running of quark and fermion mixing matrices in the Standard Model and beyond

Receipt and verification

First computed	2026-07-05T00:57:21.453543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cec3544dd289010ae4abc0763a3f61eda0e63fc47d5505e489649e5b57bb2d57

Aliases

arxiv: 1712.06614 · arxiv_version: 1712.06614v2 · doi: 10.48550/arxiv.1712.06614 · pith_short_12: Z3BVITOSREAQ · pith_short_16: Z3BVITOSREAQVZFL · pith_short_8: Z3BVITOS

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/Z3BVITOSREAQVZFLYB3DUP3B5W \
  | 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: cec3544dd289010ae4abc0763a3f61eda0e63fc47d5505e489649e5b57bb2d57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06757c37929a47d5c0354bbe8534ff068174189dfd5bc77837d0816dfbff136",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-12-18T19:01:03Z",
    "title_canon_sha256": "d7a3082cf3fb04f78286baa068a0e30916affe5a041e228da9f0d02a01d6ec16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06614",
    "kind": "arxiv",
    "version": 2
  }
}