Pith Number

pith:4IPBYPHP

pith:1999:4IPBYPHPNOYJ22ZNR6J3LEITUB

not attested not anchored not stored refs pending

Multi-Photon Amplitudes for Next-to-Leading Order QCD

Fabio Maltoni, Vittorio Del Duca, William B. Kilgore

arxiv:hep-ph/9910253 v1 · 1999-10-06 · 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{4IPBYPHPNOYJ22ZNR6J3LEITUB}

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

Two-loop helicity amplitudes for diphoton production with massive quark loop

Receipt and verification

First computed	2026-07-04T16:14:30.777009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e21e1c3cef6bb09d6b2d8f93b59113a04b8565ee562eb9611dbb9aaf656ffa67

Aliases

arxiv: hep-ph/9910253 · arxiv_version: hep-ph/9910253v1 · doi: 10.48550/arxiv.hep-ph/9910253 · pith_short_12: 4IPBYPHPNOYJ · pith_short_16: 4IPBYPHPNOYJ22ZN · pith_short_8: 4IPBYPHP

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/4IPBYPHPNOYJ22ZNR6J3LEITUB \
  | 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: e21e1c3cef6bb09d6b2d8f93b59113a04b8565ee562eb9611dbb9aaf656ffa67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc2aa04b097f069726008c3fc7bacaf70ff85d3e010374d470fcf4ddba4742a5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-10-06T21:39:05Z",
    "title_canon_sha256": "f788f0445cbe7ba116464ac2d9757d645d8fb8f47002482a260b47145dcb6a61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9910253",
    "kind": "arxiv",
    "version": 1
  }
}