Pith Number

pith:2NKSXMW6

pith:2021:2NKSXMW6J4GHFYBUN4ZVGXEDG7

not attested not anchored not stored refs pending

Two-loop leading colour QCD corrections to $q \bar{q} \to \gamma \gamma g$ and $q g \to \gamma \gamma q$

Andreas von Manteuffel, Bakul Agarwal, Federico Buccioni, Lorenzo Tancredi

arxiv:2102.01820 v2 · 2021-02-03 · 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{2NKSXMW6J4GHFYBUN4ZVGXEDG7}

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	2026-07-05T02:37:09.721155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3552bb2de4f0c72e0346f33535c8337ee617fb90a45fafc85f60629f4598996

Aliases

arxiv: 2102.01820 · arxiv_version: 2102.01820v2 · doi: 10.48550/arxiv.2102.01820 · pith_short_12: 2NKSXMW6J4GH · pith_short_16: 2NKSXMW6J4GHFYBU · pith_short_8: 2NKSXMW6

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/2NKSXMW6J4GHFYBUN4ZVGXEDG7 \
  | 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: d3552bb2de4f0c72e0346f33535c8337ee617fb90a45fafc85f60629f4598996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ebee27b7833de90fd6aba5a93dde7bf0cea51c28cad673cbb5207569aea0bfc",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-02-03T00:59:01Z",
    "title_canon_sha256": "aa33ec7175c34fda392d34fc652750cfde38b7ccc3f3c57393bcbbdce0a42973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.01820",
    "kind": "arxiv",
    "version": 2
  }
}