Pith Number

pith:24RGKXJ4

pith:2022:24RGKXJ4E7LQZP7NIDT66E3DHR

not attested not anchored not stored refs pending

The 3-loop anomalous dimensions from off-shell operator matrix elements

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

arxiv:2207.07943 v1 · 2022-07-16 · hep-ph · hep-ex · 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{24RGKXJ4E7LQZP7NIDT66E3DHR}

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	2026-07-05T04:40:59.029974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d722655d3c27d70cbfed40e7ef13633c4a6921fd1356e7f4feee06b66a162d46

Aliases

arxiv: 2207.07943 · arxiv_version: 2207.07943v1 · doi: 10.48550/arxiv.2207.07943 · pith_short_12: 24RGKXJ4E7LQ · pith_short_16: 24RGKXJ4E7LQZP7N · pith_short_8: 24RGKXJ4

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/24RGKXJ4E7LQZP7NIDT66E3DHR \
  | 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: d722655d3c27d70cbfed40e7ef13633c4a6921fd1356e7f4feee06b66a162d46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23d1fefe9745ffc07d2b1be64907964e27f2c7386054b6915e625bd96c84047b",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-07-16T13:33:20Z",
    "title_canon_sha256": "8e5edcfa195baae920be9ec16b2042f701c1f3aea1b79574d315309080c06c30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07943",
    "kind": "arxiv",
    "version": 1
  }
}