Pith Number

pith:PEEKK67X

pith:2006:PEEKK67XYIZZMWN3PP2SVCGHXS

not attested not anchored not stored refs pending

Reducing full one-loop amplitudes to scalar integrals at the integrand level

Costas G.Papadopoulos, Giovanni Ossola, Roberto Pittau

arxiv:hep-ph/0609007 v2 · 2006-09-01 · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEEKK67XYIZZMWN3PP2SVCGHXS}

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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

8 papers in Pith

Planar loop integrands from cuts in $D$ dimensions

Monte Carlo Event Generators for Future Lepton Colliders

A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons

Feynman Integral Reduction without Integration-By-Parts

Complete NLO corrections to off-shell $\boldsymbol{t\bar{t}}$ production in the $\boldsymbol{\ell+j}$ decay channel

Receipt and verification

First computed	2026-07-04T15:17:09.391940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7908a57bf7c2339659bb7bf52a88c7bc9a9dae20150e2b6c46fcfb81f7b56576

Aliases

arxiv: hep-ph/0609007 · arxiv_version: hep-ph/0609007v2 · doi: 10.48550/arxiv.hep-ph/0609007 · pith_short_12: PEEKK67XYIZZ · pith_short_16: PEEKK67XYIZZMWN3 · pith_short_8: PEEKK67X

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/PEEKK67XYIZZMWN3PP2SVCGHXS \
  | 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: 7908a57bf7c2339659bb7bf52a88c7bc9a9dae20150e2b6c46fcfb81f7b56576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e58ac44c08a5dd960bcaad3a9617c71e5d9261beea1f4a098e1e3950e8a8df",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-09-01T14:41:51Z",
    "title_canon_sha256": "b9e7e2d40ee2b3212e372091120f5149fda9a7b7815269c82f7cd04325f961b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0609007",
    "kind": "arxiv",
    "version": 2
  }
}