Pith Number

pith:COD4DTNJ

pith:2005:COD4DTNJMMK2GNZ4ZRCE27SQS4

not attested not anchored not stored refs pending

QCD Decoupling at Four Loops

C. Sturm, J.H. K\"uhn, K.G. Chetyrkin

arxiv:hep-ph/0512060 v1 · 2005-12-05 · 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{COD4DTNJMMK2GNZ4ZRCE27SQS4}

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

4 papers in Pith

Soft Contributions Stabilize NNLO QCD Corrections to Quarkonium Production and Decay

Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results

Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination

Smooth Threshold Effects from Dimensional Regularization

Receipt and verification

First computed	2026-07-04T15:31:36.744540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1387c1cda96315a3373ccc444d7e509716ba68a7b7737c1f927df52a5f5c0b86

Aliases

arxiv: hep-ph/0512060 · arxiv_version: hep-ph/0512060v1 · doi: 10.48550/arxiv.hep-ph/0512060 · pith_short_12: COD4DTNJMMK2 · pith_short_16: COD4DTNJMMK2GNZ4 · pith_short_8: COD4DTNJ

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/COD4DTNJMMK2GNZ4ZRCE27SQS4 \
  | 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: 1387c1cda96315a3373ccc444d7e509716ba68a7b7737c1f927df52a5f5c0b86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0edf1e0e1f0aed7dc851fc2c88ae08bcf98bfbc141ae3d3ff9502ab83a134198",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-12-05T11:24:15Z",
    "title_canon_sha256": "bc1ae88528cede7cd15020f79ec72731fcd487094284b2f610f6af16399552a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0512060",
    "kind": "arxiv",
    "version": 1
  }
}