Pith Number

pith:TYBFF4DS

pith:2021:TYBFF4DSC55X2D3QMNJ6M2P3NI

not attested not anchored not stored refs pending

Fermionic corrections to quark and gluon form factors in four-loop QCD

Alexander V. Smirnov, Andreas von Manteuffel, Matthias Steinhauser, Robert M. Schabinger, Roman N. Lee, Vladimir A. Smirnov

arxiv:2105.11504 v1 · 2021-05-24 · 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{TYBFF4DSC55X2D3QMNJ6M2P3NI}

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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

Properties and implications of the four-loop non-singlet splitting functions in QCD

Receipt and verification

First computed	2026-07-05T03:23:41.863431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e0252f072177b7d0f706353e669fb6a02e57b6a57ce8934d1859020a4fa2519

Aliases

arxiv: 2105.11504 · arxiv_version: 2105.11504v1 · doi: 10.48550/arxiv.2105.11504 · pith_short_12: TYBFF4DSC55X · pith_short_16: TYBFF4DSC55X2D3Q · pith_short_8: TYBFF4DS

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/TYBFF4DSC55X2D3QMNJ6M2P3NI \
  | 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: 9e0252f072177b7d0f706353e669fb6a02e57b6a57ce8934d1859020a4fa2519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee91edacc52c3c7d9eee3e86d3b51eb509012ac143e336b2bc2ec002872b8e3a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-05-24T19:06:46Z",
    "title_canon_sha256": "c0004e0d3b4f0b7768dc452f7a1258ec3a8f0caeb0da79a3ce2820b64d85c191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.11504",
    "kind": "arxiv",
    "version": 1
  }
}