Pith Number

pith:2TNQGIQN

pith:1997:2TNQGIQNPARFKC4A6KIFUWSYNZ

not attested not anchored not stored refs pending

Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme

B.A. Kniehl, K.G. Chetyrkin, M. Steinhauser (MPI Munich)

arxiv:hep-ph/9706430 v1 · 1997-06-20 · hep-ph · hep-ex

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TNQGIQNPARFKC4A6KIFUWSYNZ}

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

3 papers in Pith

Implementation of DIS at N$^3$LO for PDF determination

Renormalisation

Heavy-quark transport across the QCD crossover driven by a lattice-constrained in-medium potential

Receipt and verification

First computed	2026-07-04T16:05:06.251280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4db03220d7822550b80f2905a5a586e55b00b5e5e9c3e39880c04b2c0844f06

Aliases

arxiv: hep-ph/9706430 · arxiv_version: hep-ph/9706430v1 · doi: 10.48550/arxiv.hep-ph/9706430 · pith_short_12: 2TNQGIQNPARF · pith_short_16: 2TNQGIQNPARFKC4A · pith_short_8: 2TNQGIQN

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/2TNQGIQNPARFKC4A6KIFUWSYNZ \
  | 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: d4db03220d7822550b80f2905a5a586e55b00b5e5e9c3e39880c04b2c0844f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db0a03a4b3a40a1328143f4ecc3d331f3e4f24c0348df26073e0d5cf5cc0a62",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-06-20T15:31:52Z",
    "title_canon_sha256": "1219db6058194583317d3f72ba3966d1d65a5e3a42be59105fe096c924f8461c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9706430",
    "kind": "arxiv",
    "version": 1
  }
}