Pith Number

pith:A6U6Z5TF

pith:2016:A6U6Z5TFLEIK3LBC3FL6SADP4U

not attested not anchored not stored refs pending

The QCD Running Coupling

A. Deur, G. F. de Teramond, S. J. Brodsky

arxiv:1604.08082 v5 · 2016-04-27 · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6U6Z5TFLEIK3LBC3FL6SADP4U}

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

7 papers in Pith

Scalar diquarks in the QCD vacuum

Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy

New Solutions of RG Equations for \alpha_s and y_{top}

Quark and hybrid stars with renormalization group improvement of NNLO perturbative QCD

Tachyonic AdS/QCD, Determining the Strong Running Coupling and \beta-function in both UV and IR Regions of AdS Space

Receipt and verification

First computed	2026-07-05T06:06:50.235183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07a9ecf6655910adac22d957e9006fe524d781ffe92328299170c78a918121c8

Aliases

arxiv: 1604.08082 · arxiv_version: 1604.08082v5 · doi: 10.48550/arxiv.1604.08082 · pith_short_12: A6U6Z5TFLEIK · pith_short_16: A6U6Z5TFLEIK3LBC · pith_short_8: A6U6Z5TF

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/A6U6Z5TFLEIK3LBC3FL6SADP4U \
  | 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: 07a9ecf6655910adac22d957e9006fe524d781ffe92328299170c78a918121c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "008d32dc9087b82c687fd0f19ebd42925c2fa9c3a4ca35094969c0fa7be9024b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-04-27T14:20:07Z",
    "title_canon_sha256": "6c5f4f57365dc240de5e13b9082cfc7639b5d6c4724d8fb0fd993b396637cfa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08082",
    "kind": "arxiv",
    "version": 5
  }
}