Pith Number

pith:L4TQBESB

pith:2016:L4TQBESBDHTREPQS4FMBR7KEYF

not attested not anchored not stored refs pending

Three-loop cusp anomalous dimension and a conjecture for $n$ loops

Nikolaos Kidonakis

arxiv:1601.01666 v2 · 2016-01-07 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4TQBESBDHTREPQS4FMBR7KEYF}

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

1 paper in Pith

Three-loop soft anomalous dimensions for top-quark production

Receipt and verification

First computed	2026-05-18T01:13:56.544185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f2700924119e7123e12e15818fd44c151518b164e6efbfbeabfe370177466aa

Aliases

arxiv: 1601.01666 · arxiv_version: 1601.01666v2 · doi: 10.48550/arxiv.1601.01666 · pith_short_12: L4TQBESBDHTR · pith_short_16: L4TQBESBDHTREPQS · pith_short_8: L4TQBESB

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/L4TQBESBDHTREPQS4FMBR7KEYF \
  | 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: 5f2700924119e7123e12e15818fd44c151518b164e6efbfbeabfe370177466aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "659b3309ef8adad206c72455946608e0885d7cf418d95a2768fdc860a03d6623",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-01-07T20:56:44Z",
    "title_canon_sha256": "ba0551bb79ba4d3f7b72c7360399260f1dcb5ef3472373ccf9424ae8f8530d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01666",
    "kind": "arxiv",
    "version": 2
  }
}