Pith Number

pith:5LPYQX2S

pith:2006:5LPYQX2SDOP5ZMF3HITSQ63BTY

not attested not anchored not stored refs pending

Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes

Bo Feng, Charalampos Anastasiou, Pierpaolo Mastrolia, Ruth Britto, Zoltan Kunszt

arxiv:hep-ph/0612277 v2 · 2006-12-21 · 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{5LPYQX2SDOP5ZMF3HITSQ63BTY}

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

2 papers in Pith

Feynman Integral Reduction without Integration-By-Parts

The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations

Receipt and verification

First computed	2026-05-18T04:38:27.181500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eadf885f521b9fdcb0bb3a27287b619e2a152ab1fc70af85ee598b20f1053af5

Aliases

arxiv: hep-ph/0612277 · arxiv_version: hep-ph/0612277v2 · doi: 10.48550/arxiv.hep-ph/0612277 · pith_short_12: 5LPYQX2SDOP5 · pith_short_16: 5LPYQX2SDOP5ZMF3 · pith_short_8: 5LPYQX2S

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/5LPYQX2SDOP5ZMF3HITSQ63BTY \
  | 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: eadf885f521b9fdcb0bb3a27287b619e2a152ab1fc70af85ee598b20f1053af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d47660242cc5a66d30634ff57f7168c2fb1f9341cd8f6220533ac3e44c78df0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-12-21T14:03:38Z",
    "title_canon_sha256": "75af6180505efa6041e4f27ae445ecfd877cfb15e0074b7eeb5dcf23b149c0e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0612277",
    "kind": "arxiv",
    "version": 2
  }
}