Pith Number

pith:7VM3P4LL

pith:2006:7VM3P4LLGOSJRDQG3XCSESJG5R

not attested not anchored not stored refs pending

Color-dressed recursive relations for multi-parton amplitudes

Claude Duhr, Fabio Maltoni, Stefan Hoeche

arxiv:hep-ph/0607057 v1 · 2006-07-05 · 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{7VM3P4LLGOSJRDQG3XCSESJG5R}

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

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	2026-05-18T02:36:13.574372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd59b7f16b33a4988e06ddc5224926ec6f9efab6b3f7eb0453fe7189e1d5a0de

Aliases

arxiv: hep-ph/0607057 · arxiv_version: hep-ph/0607057v1 · doi: 10.48550/arxiv.hep-ph/0607057 · pith_short_12: 7VM3P4LLGOSJ · pith_short_16: 7VM3P4LLGOSJRDQG · pith_short_8: 7VM3P4LL

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/7VM3P4LLGOSJRDQG3XCSESJG5R \
  | 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: fd59b7f16b33a4988e06ddc5224926ec6f9efab6b3f7eb0453fe7189e1d5a0de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d636c343d66e2f0a1a4d95160447e086548f086f07dad299a6bd1bca8f3a54a4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-07-05T17:24:11Z",
    "title_canon_sha256": "a685bbfb1d732aa451e82e7f8bfeddc13d686d420247f51788e7e066696fcff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0607057",
    "kind": "arxiv",
    "version": 1
  }
}