Pith Number

pith:BB2D7JMQ

pith:2001:BB2D7JMQYH3LCRLD3ESOFJI4GG

not attested not anchored not stored refs pending

Two-Loop Amplitudes for Gluon Fusion into Two Photons

A. De Freitas, L. Dixon, Z. Bern

arxiv:hep-ph/0109078 v1 · 2001-09-10 · 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{BB2D7JMQYH3LCRLD3ESOFJI4GG}

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	2026-07-04T17:20:59.953662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08743fa590c1f6b14563d924e2a51c31b1f061528edee883cc6fa8f0347cc521

Aliases

arxiv: hep-ph/0109078 · arxiv_version: hep-ph/0109078v1 · doi: 10.48550/arxiv.hep-ph/0109078 · pith_short_12: BB2D7JMQYH3L · pith_short_16: BB2D7JMQYH3LCRLD · pith_short_8: BB2D7JMQ

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/BB2D7JMQYH3LCRLD3ESOFJI4GG \
  | 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: 08743fa590c1f6b14563d924e2a51c31b1f061528edee883cc6fa8f0347cc521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "312a170e62dd4e1a7a887fa520a05b5e0204ff5f33c7d318cd848512b767df19",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-09-10T15:30:42Z",
    "title_canon_sha256": "661163423a36cf787b5b36d83cadac9945ed9583b197c5e5bd4c1d5454889bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0109078",
    "kind": "arxiv",
    "version": 1
  }
}