Pith Number

pith:KYGUKWI4

pith:2012:KYGUKWI4QLO3MZRES6WSX7RMXC

not attested not anchored not stored refs pending

Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop

J. H. K\"uhn, J. Rittinger, K. G. Chetyrkin, P. A. Baikov

arxiv:1206.1284 v2 · 2012-06-06 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYGUKWI4QLO3MZRES6WSX7RMXC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

Properties and implications of the four-loop non-singlet splitting functions in QCD

Receipt and verification

First computed	2026-05-18T01:57:06.991042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

560d45591c82ddb6662497ad2bfe2cb89dbc6e5134a2fc8754f9c32eccbffe3d

Aliases

arxiv: 1206.1284 · arxiv_version: 1206.1284v2 · doi: 10.48550/arxiv.1206.1284 · pith_short_12: KYGUKWI4QLO3 · pith_short_16: KYGUKWI4QLO3MZRE · pith_short_8: KYGUKWI4

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/KYGUKWI4QLO3MZRES6WSX7RMXC \
  | 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: 560d45591c82ddb6662497ad2bfe2cb89dbc6e5134a2fc8754f9c32eccbffe3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed9dff5b92e1cacc34b3d3a817a3e30d754b8777708d15f9863f9a3eca92a972",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-06-06T17:40:51Z",
    "title_canon_sha256": "7d68e45e0a728ee22eb33cb935e12f1bf7f432eb4d52c10b3b2086c3a5f5d815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1284",
    "kind": "arxiv",
    "version": 2
  }
}