Pith Number

pith:XXMXQC7Y

pith:2011:XXMXQC7YCLWBG2OUTWB5M7UPGC

not attested not anchored not stored refs pending

On the Integrand-Reduction Method for Two-Loop Scattering Amplitudes

Giovanni Ossola, Pierpaolo Mastrolia

arxiv:1107.6041 v1 · 2011-07-29 · 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{XXMXQC7YCLWBG2OUTWB5M7UPGC}

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

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

Receipt and verification

First computed	2026-05-18T02:01:05.527847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdd9780bf812ec1369d49d83d67e8f30bd48656438518180e68dea9c14a8bf66

Aliases

arxiv: 1107.6041 · arxiv_version: 1107.6041v1 · doi: 10.48550/arxiv.1107.6041 · pith_short_12: XXMXQC7YCLWB · pith_short_16: XXMXQC7YCLWBG2OU · pith_short_8: XXMXQC7Y

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/XXMXQC7YCLWBG2OUTWB5M7UPGC \
  | 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: bdd9780bf812ec1369d49d83d67e8f30bd48656438518180e68dea9c14a8bf66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d47b52df94e7d59e2727704a4317c69f450993ba88e31b15aa882097eb3930d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-07-29T19:28:00Z",
    "title_canon_sha256": "1ff9a9174fbf69516b51382b95e90bf5048ecdc538c79d16bad401f783bb4b5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.6041",
    "kind": "arxiv",
    "version": 1
  }
}