Pith Number

pith:JHTXPQGS

pith:2022:JHTXPQGSJ4YWRQIMZ4JS6DRHLF

not attested not anchored not stored refs pending

Renormalization of gluonic leading-twist Operators in covariant Gauges

Franz Herzog, Giulio Falcioni

arxiv:2203.11181 v1 · 2022-03-21 · 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{JHTXPQGSJ4YWRQIMZ4JS6DRHLF}

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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

The four-loop non-singlet splitting functions in QCD

Receipt and verification

First computed	2026-07-05T04:31:35.964348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49e777c0d24f3168c10ccf132f0e27595c433ea994529d4613b1d1aafde709b4

Aliases

arxiv: 2203.11181 · arxiv_version: 2203.11181v1 · doi: 10.48550/arxiv.2203.11181 · pith_short_12: JHTXPQGSJ4YW · pith_short_16: JHTXPQGSJ4YWRQIM · pith_short_8: JHTXPQGS

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/JHTXPQGSJ4YWRQIMZ4JS6DRHLF \
  | 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: 49e777c0d24f3168c10ccf132f0e27595c433ea994529d4613b1d1aafde709b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c89aebd4fe8895eac9547d93913fa704298c8b99c8a76635bf37e5488773a6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-03-21T17:56:49Z",
    "title_canon_sha256": "6c788f2b75b566a8052cf88c3025010f13dc1c787cdde81a2b5528405bfbe237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.11181",
    "kind": "arxiv",
    "version": 1
  }
}