pith. sign in
Pith Number

pith:FK3GCPO5

pith:2013:FK3GCPO5JFO3ZD7HHSVKFWAUN6
not attested not anchored not stored refs pending

Virtual amplitudes and threshold behaviour of hadronic top-quark pair-production cross sections

M. Czakon, P. Baernreuther, P. Fiedler

arxiv:1312.6279 v1 · 2013-12-21 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FK3GCPO5JFO3ZD7HHSVKFWAUN6}

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 2026-05-18T01:45:42.872174Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2ab6613ddd495dbc8fe73caaa2d8146fa14b0fcc6dc6ff6a92dac4494ab40320

Aliases

arxiv: 1312.6279 · arxiv_version: 1312.6279v1 · doi: 10.48550/arxiv.1312.6279 · pith_short_12: FK3GCPO5JFO3 · pith_short_16: FK3GCPO5JFO3ZD7H · pith_short_8: FK3GCPO5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FK3GCPO5JFO3ZD7HHSVKFWAUN6 \
  | 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: 2ab6613ddd495dbc8fe73caaa2d8146fa14b0fcc6dc6ff6a92dac4494ab40320
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "91bdd288f2d6887e3565a61323be1c5bef9c059d12055ab5f648c70fceb919f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-12-21T17:53:30Z",
    "title_canon_sha256": "1d928cb5ff6ed86e30c13b4748e2763510db5c325b0829c383302df90898371e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6279",
    "kind": "arxiv",
    "version": 1
  }
}