Pith Number

pith:CNYPOVWC

pith:2018:CNYPOVWCAFLLZPPVMGL3FFWFSN

not attested not anchored not stored refs pending

Four-loop wave function renormalization in QCD and QED

Alexander V. Smirnov, Matthias Steinhauser, Peter Marquard, Vladimir A. Smirnov

arxiv:1801.08292 v1 · 2018-01-25 · 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{CNYPOVWCAFLLZPPVMGL3FFWFSN}

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	2026-05-18T00:19:21.494823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1370f756c20156bcbdf56197b296c59347e6043e9c25c4f68cc5b5449c2e7387

Aliases

arxiv: 1801.08292 · arxiv_version: 1801.08292v1 · doi: 10.48550/arxiv.1801.08292 · pith_short_12: CNYPOVWCAFLL · pith_short_16: CNYPOVWCAFLLZPPV · pith_short_8: CNYPOVWC

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/CNYPOVWCAFLLZPPVMGL3FFWFSN \
  | 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: 1370f756c20156bcbdf56197b296c59347e6043e9c25c4f68cc5b5449c2e7387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65684a51a6a3f6f4b97e201f74cafbf9aff8378d62de89267a7e097d405744de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-01-25T07:16:22Z",
    "title_canon_sha256": "5ddc182ab3f7b857dd518b0f603507dd29467a99b814454ec049a2dbfbfbfe41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08292",
    "kind": "arxiv",
    "version": 1
  }
}