Pith Number

pith:KEWMZKVF

pith:2005:KEWMZKVFSY5RAJQVXHPFKU555O

not attested not anchored not stored refs pending

Four-Loop Singlet Contribution to the $\rho$ Parameter

M. Steinhauser, Y. Schroder

arxiv:hep-ph/0504055 v2 · 2005-04-07 · 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{KEWMZKVFSY5RAJQVXHPFKU555O}

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

Three loop QCD corrections to electroweak radiative parameters

Receipt and verification

First computed	2026-07-04T16:55:39.157397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

512cccaaa5963b102615b9de5553bdeb82b5e006e4717de13eeeb4fab8db3c3f

Aliases

arxiv: hep-ph/0504055 · arxiv_version: hep-ph/0504055v2 · doi: 10.48550/arxiv.hep-ph/0504055 · pith_short_12: KEWMZKVFSY5R · pith_short_16: KEWMZKVFSY5RAJQV · pith_short_8: KEWMZKVF

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/KEWMZKVFSY5RAJQVXHPFKU555O \
  | 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: 512cccaaa5963b102615b9de5553bdeb82b5e006e4717de13eeeb4fab8db3c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3394228ba3226df91a5ed74748535b2e8651fe364ce7a39968f910d6f98cccf9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-04-07T14:11:31Z",
    "title_canon_sha256": "5af0ca639c0ccd5cd65ecd01cd800129fd8eba9a10ac4c87bc311e9f9800f2be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0504055",
    "kind": "arxiv",
    "version": 2
  }
}