Pith Number

pith:HJXGEYMX

pith:2022:HJXGEYMXHJ5VTEUI6OCC473S2W

not attested not anchored not stored refs pending

The Two-Loop Massless Off-Shell QCD Operator Matrix Elements to Finite Terms

C. Schneider, J. Bl\"umlein, K. Sch\"onwald, P. Marquard

arxiv:2202.03216 v1 · 2022-02-07 · 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{HJXGEYMXHJ5VTEUI6OCC473S2W}

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

Alien operators for PDF evolution

Receipt and verification

First computed	2026-07-05T04:19:53.892350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a6e6261973a7b599288f3842e7f72d59176ff64e2ee4d51009bf9c8e0ed6417

Aliases

arxiv: 2202.03216 · arxiv_version: 2202.03216v1 · doi: 10.48550/arxiv.2202.03216 · pith_short_12: HJXGEYMXHJ5V · pith_short_16: HJXGEYMXHJ5VTEUI · pith_short_8: HJXGEYMX

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/HJXGEYMXHJ5VTEUI6OCC473S2W \
  | 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: 3a6e6261973a7b599288f3842e7f72d59176ff64e2ee4d51009bf9c8e0ed6417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30dfbfa4d6b64831a1ae8e6bfa70a329e52f814eb3ca517a691ef2545d7e8df3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-02-07T14:18:25Z",
    "title_canon_sha256": "6f19addd86ca3dd8f980bae512c794d40e967de00d83d2917514a2b5c033a0ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.03216",
    "kind": "arxiv",
    "version": 1
  }
}