Pith Number

pith:CUCYNRPG

pith:2019:CUCYNRPG3TLLW7ZPAR7GYVHME5

not attested not anchored not stored refs pending

Complete reduction of integrals in two-loop five-light-parton scattering amplitudes

Xiao Liu, Xin Guan, Yan-Qing Ma

arxiv:1912.09294 v3 · 2019-12-19 · hep-ph · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUCYNRPG3TLLW7ZPAR7GYVHME5}

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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

4 papers in Pith

Compact Syzygies for Feynman Integrals from Landau Singularities

NNLO QCD predictions for $t\bar t W$ production at hadron colliders

NNLO QCD predictions for $t\bar{t}W$ production at the LHC

Integral Reduction with Kira 2.0 and Finite Field Methods

Receipt and verification

First computed	2026-07-05T01:34:20.953678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

150586c5e6dcd6bb7f2f047e6c54ec27570527fd26c33e12cd9bfea9c8b840d6

Aliases

arxiv: 1912.09294 · arxiv_version: 1912.09294v3 · doi: 10.48550/arxiv.1912.09294 · pith_short_12: CUCYNRPG3TLL · pith_short_16: CUCYNRPG3TLLW7ZP · pith_short_8: CUCYNRPG

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/CUCYNRPG3TLLW7ZPAR7GYVHME5 \
  | 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: 150586c5e6dcd6bb7f2f047e6c54ec27570527fd26c33e12cd9bfea9c8b840d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0f667405352ba6d67d7c047217e05d02236bac725727cd5563bd4e6e895b1c1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-12-19T15:30:31Z",
    "title_canon_sha256": "05df279cc05c5a35669e29d0f6ce298df79aa8085d4beadcbdc57163f2514bac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.09294",
    "kind": "arxiv",
    "version": 3
  }
}