Pith Number

pith:QHV5SEED

pith:2012:QHV5SEED67DDDS5QZ5RSKJCJII

not attested not anchored not stored refs pending

Integrand-Level Reduction of Loop Amplitudes by Computational Algebraic Geometry Methods

Yang Zhang

arxiv:1205.5707 v3 · 2012-05-25 · 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{QHV5SEED67DDDS5QZ5RSKJCJII}

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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

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	2026-05-18T02:21:09.522683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ebd91083f7c631cbb0cf63252449420a857b02fc7c34180b740693de9734e2

Aliases

arxiv: 1205.5707 · arxiv_version: 1205.5707v3 · doi: 10.48550/arxiv.1205.5707 · pith_short_12: QHV5SEED67DD · pith_short_16: QHV5SEED67DDDS5Q · pith_short_8: QHV5SEED

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/QHV5SEED67DDDS5QZ5RSKJCJII \
  | 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: 81ebd91083f7c631cbb0cf63252449420a857b02fc7c34180b740693de9734e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13853a39f1076cc26d7b3921374ac3eed24aee38dbb27b0a450f4b9e87e74269",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-05-25T14:30:38Z",
    "title_canon_sha256": "261f5cb137f07fe75c6aaad74949c1fd145ab13c16e8a19739061b3d32079494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5707",
    "kind": "arxiv",
    "version": 3
  }
}