Pith Number

pith:FQ5RIPRM

pith:2004:FQ5RIPRMZJZY3CMA3KHOLCITWK

not attested not anchored not stored refs pending

The Temperature Dependence of the QCD Running Coupling

F. M. Steffens

arxiv:hep-ph/0409329 v1 · 2004-09-28 · 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{FQ5RIPRMZJZY3CMA3KHOLCITWK}

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.

Receipt and verification

First computed	2026-05-18T01:39:05.507664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c3b143e2cca738d8980da8ee58913b289498e369017fc4a3c76e5f2da976ff2

Aliases

arxiv: hep-ph/0409329 · arxiv_version: hep-ph/0409329v1 · doi: 10.48550/arxiv.hep-ph/0409329 · pith_short_12: FQ5RIPRMZJZY · pith_short_16: FQ5RIPRMZJZY3CMA · pith_short_8: FQ5RIPRM

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/FQ5RIPRMZJZY3CMA3KHOLCITWK \
  | 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: 2c3b143e2cca738d8980da8ee58913b289498e369017fc4a3c76e5f2da976ff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "229a2cdd1aef65780d2147bf5d70af0441ca1692715f913c78473301595dca1d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-09-28T19:32:29Z",
    "title_canon_sha256": "8cd272f5f59d1d0e760de9253fc6052754a38f54506cdbbc108b294158d6de37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0409329",
    "kind": "arxiv",
    "version": 1
  }
}