Pith Number

pith:JKOCX7RC

pith:2020:JKOCX7RCC7V5FJEDO6QBVEWWL2

not attested not anchored not stored refs pending

The full angle-dependence of the four-loop cusp anomalous dimension in QED

Christoph Dlapa, Johannes M. Henn, Kai Yan, Robin Br\"user

arxiv:2007.04851 v1 · 2020-07-09 · hep-th · 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{JKOCX7RCC7V5FJEDO6QBVEWWL2}

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	2026-07-05T02:08:09.522726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a9c2bfe2217ebd2a48377a01a92d65ea0a6d14e1a488ec49ca072f41ce2c5f0

Aliases

arxiv: 2007.04851 · arxiv_version: 2007.04851v1 · doi: 10.48550/arxiv.2007.04851 · pith_short_12: JKOCX7RCC7V5 · pith_short_16: JKOCX7RCC7V5FJED · pith_short_8: JKOCX7RC

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/JKOCX7RCC7V5FJEDO6QBVEWWL2 \
  | 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: 4a9c2bfe2217ebd2a48377a01a92d65ea0a6d14e1a488ec49ca072f41ce2c5f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c4b5d373ef3e76cecd45b075e0f7c1895c8f0e0e4c8b727ce28cc17bd6d6ebd",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-07-09T14:55:39Z",
    "title_canon_sha256": "f1ec013943a239112d2cdac7e6e269eb1b1beeaf471e794f5c0dc6b4bf556c79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.04851",
    "kind": "arxiv",
    "version": 1
  }
}