Pith Number

pith:JSXQ5SDP

pith:1998:JSXQ5SDPZ24UKHZIJNPQ5EOGSL

not attested not anchored not stored refs pending

The Infrared Behavior of One-Loop Gluon Amplitudes at Next-to-Next-to-Leading Order

Carl R. Schmidt, Vittorio Del Duca, Zvi Bern

arxiv:hep-ph/9810409 v1 · 1998-10-19 · 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{JSXQ5SDPZ24UKHZIJNPQ5EOGSL}

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

Infrared singularities and the collinear limits of multi-leg scattering amplitudes

Receipt and verification

First computed	2026-07-04T15:20:52.976302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4caf0ec86fceb9451f284b5f0e91c692c24527a884d805650fd98d044ef52189

Aliases

arxiv: hep-ph/9810409 · arxiv_version: hep-ph/9810409v1 · doi: 10.48550/arxiv.hep-ph/9810409 · pith_short_12: JSXQ5SDPZ24U · pith_short_16: JSXQ5SDPZ24UKHZI · pith_short_8: JSXQ5SDP

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/JSXQ5SDPZ24UKHZIJNPQ5EOGSL \
  | 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: 4caf0ec86fceb9451f284b5f0e91c692c24527a884d805650fd98d044ef52189

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d52adb1d16fba6134a435f8557546272e4b2366abec2575e520a35ed286db1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-10-19T22:23:06Z",
    "title_canon_sha256": "1a357b7d23f2a8a87f3668fcbb7986d32daa7472a1df22b45cb5cfed45434512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9810409",
    "kind": "arxiv",
    "version": 1
  }
}