Pith Number

pith:W6FQRTQZ

pith:2000:W6FQRTQZY54DIJ4AME5PPREMCX

not attested not anchored not stored refs pending

Complete Renormalization Group Improvement-Avoiding Factorization and Renormalization Scale Dependence in QCD Predictions

A. Mirjalili (Centre for Particle Theory, C.J. Maxwell, Durham, UK), University of Durham

arxiv:hep-ph/0002204 v1 · 2000-02-18 · 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{W6FQRTQZY54DIJ4AME5PPREMCX}

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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

What are the consequences of independent factorization and renormalization scales?

Receipt and verification

First computed	2026-07-04T16:20:02.404900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b78b08ce19c778342780613af7c48c15eec4098f3951974b1274355e81a17f54

Aliases

arxiv: hep-ph/0002204 · arxiv_version: hep-ph/0002204v1 · doi: 10.48550/arxiv.hep-ph/0002204 · pith_short_12: W6FQRTQZY54D · pith_short_16: W6FQRTQZY54DIJ4A · pith_short_8: W6FQRTQZ

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/W6FQRTQZY54DIJ4AME5PPREMCX \
  | 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: b78b08ce19c778342780613af7c48c15eec4098f3951974b1274355e81a17f54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20295db6fd011604b7e5805d9f62a32d1ddb742b8028e71dcd1105bca7ed0a7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-02-18T18:02:01Z",
    "title_canon_sha256": "8b9280c153c48e80f19965999722fa66f3467f2ff202a8dc38c4e13ad705b53d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0002204",
    "kind": "arxiv",
    "version": 1
  }
}