Pith Number

pith:JOO7HIMC

pith:2012:JOO7HIMC6PB377DXDFPIEE5CSI

not attested not anchored not stored refs pending

Comparing efficient computation methods for massless QCD tree amplitudes: Closed Analytic Formulae versus Berends-Giele Recursion

Benedikt Biedermann, Jan Plefka, Lucas Hackl, Peter Uwer, Simon Badger, Theodor Schuster

arxiv:1206.2381 v1 · 2012-06-11 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOO7HIMC6PB377DXDFPIEE5CSI}

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.

Receipt and verification

First computed	2026-05-18T03:34:16.236604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b9df3a182f3c3bffc77195e8213a2923361bde8940b973a5d418a00a95fc548

Aliases

arxiv: 1206.2381 · arxiv_version: 1206.2381v1 · doi: 10.48550/arxiv.1206.2381 · pith_short_12: JOO7HIMC6PB3 · pith_short_16: JOO7HIMC6PB377DX · pith_short_8: JOO7HIMC

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/JOO7HIMC6PB377DXDFPIEE5CSI \
  | 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: 4b9df3a182f3c3bffc77195e8213a2923361bde8940b973a5d418a00a95fc548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20fb0cf7f54e43784842301d79af0348c3a39bfdee28ea2a72c2f61114050c0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-06-11T21:04:19Z",
    "title_canon_sha256": "c1d9eeb018b6a3ce53127d4c6c448403f874d6fa8b83c3c1497edca53c46c4d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2381",
    "kind": "arxiv",
    "version": 1
  }
}