Pith Number

pith:FFKAIC3W

pith:2015:FFKAIC3WG4B5QARAUXOV7FGUP4

not attested not anchored not stored refs pending

Top-Yukawa effects on the $\beta$-function of the strong coupling in the SM at four-loop level

M. F. Zoller

arxiv:1508.03624 v4 · 2015-08-14 · 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{FFKAIC3WG4B5QARAUXOV7FGUP4}

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	2026-05-18T00:39:48.164164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2954040b763703d80220a5dd5f94d47f27a1fd0cc94b0d7478eaea1e48d2cfaa

Aliases

arxiv: 1508.03624 · arxiv_version: 1508.03624v4 · doi: 10.48550/arxiv.1508.03624 · pith_short_12: FFKAIC3WG4B5 · pith_short_16: FFKAIC3WG4B5QARA · pith_short_8: FFKAIC3W

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/FFKAIC3WG4B5QARAUXOV7FGUP4 \
  | 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: 2954040b763703d80220a5dd5f94d47f27a1fd0cc94b0d7478eaea1e48d2cfaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7aaf6687aae4be7114fa1c7df0027c0718c860d7f0fec8320dd06f1abcb1834",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-08-14T19:52:20Z",
    "title_canon_sha256": "d4ebd70b7f0c0578f9ce9e258ed2bdb254ca9abeffbcc978c1ad9273d7e40047"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03624",
    "kind": "arxiv",
    "version": 4
  }
}