Pith Number

pith:VP3GPAFZ

pith:2008:VP3GPAFZ7FCLVCUGPNNI365OF2

not attested not anchored not stored refs pending

Direct numerical integration of one-loop Feynman diagrams for N-photon amplitudes

Davison E. Soper, Wei Gong, Zoltan Nagy

arxiv:0812.3686 v1 · 2008-12-19 · 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{VP3GPAFZ7FCLVCUGPNNI365OF2}

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

General finite two-loop amplitude integrand for photoproduction in quark annihilation

Receipt and verification

First computed	2026-07-04T17:26:15.558402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf66780b9f944ba8a867b5a8dfbae2ead602bf7d168d16d3323632f1f3d05e5

Aliases

arxiv: 0812.3686 · arxiv_version: 0812.3686v1 · doi: 10.48550/arxiv.0812.3686 · pith_short_12: VP3GPAFZ7FCL · pith_short_16: VP3GPAFZ7FCLVCUG · pith_short_8: VP3GPAFZ

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/VP3GPAFZ7FCLVCUGPNNI365OF2 \
  | 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: abf66780b9f944ba8a867b5a8dfbae2ead602bf7d168d16d3323632f1f3d05e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef956e842effef8ea8617111612b360f6fac6c6f6add487648e4d5bb549f5fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2008-12-19T00:15:29Z",
    "title_canon_sha256": "8d447f1a22abedb1eaa455a59f2511aed6b661a1d87d828eabf99089628fc473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3686",
    "kind": "arxiv",
    "version": 1
  }
}