Pith Number

pith:CA67SWCP

pith:2015:CA67SWCP7XOLRSZSWQUKLCRJWL

not attested not anchored not stored refs pending

Master integrals for the four-loop Sudakov form factor

Bernd A. Kniehl, Gang Yang, Rutger Boels

arxiv:1508.03717 v2 · 2015-08-15 · hep-th · hep-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CA67SWCP7XOLRSZSWQUKLCRJWL}

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	2026-05-18T01:25:11.446281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

103df9584ffddcb8cb32b428a58a29b2cefbe0b7b7c1321acbd3c2790baae144

Aliases

arxiv: 1508.03717 · arxiv_version: 1508.03717v2 · doi: 10.48550/arxiv.1508.03717 · pith_short_12: CA67SWCP7XOL · pith_short_16: CA67SWCP7XOLRSZS · pith_short_8: CA67SWCP

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/CA67SWCP7XOLRSZSWQUKLCRJWL \
  | 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: 103df9584ffddcb8cb32b428a58a29b2cefbe0b7b7c1321acbd3c2790baae144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44c52e3552c38681215478ceb61bfcd1f9394236974b6b83564393f7089db25a",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-08-15T09:36:12Z",
    "title_canon_sha256": "9d850a752bb9e3b89b3315af771eb5c78972374788ebecfa273c94cf9056c6d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03717",
    "kind": "arxiv",
    "version": 2
  }
}