Pith Number

pith:MDX5CKH3

pith:2022:MDX5CKH33LA3J6EXUMEJSXMRJI

not attested not anchored not stored refs pending

QCD cusp anomalous dimension: current status

Andrey Grozin

arxiv:2212.05290 v4 · 2022-12-10 · 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{MDX5CKH33LA3J6EXUMEJSXMRJI}

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

Walking Sudakov: From Cusp to Octagon

Receipt and verification

First computed	2026-07-05T07:49:10.764361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60efd128fbdac1b4f897a308995d914a24472aca453c0b30ae18ce0563b8b434

Aliases

arxiv: 2212.05290 · arxiv_version: 2212.05290v4 · doi: 10.48550/arxiv.2212.05290 · pith_short_12: MDX5CKH33LA3 · pith_short_16: MDX5CKH33LA3J6EX · pith_short_8: MDX5CKH3

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/MDX5CKH33LA3J6EXUMEJSXMRJI \
  | 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: 60efd128fbdac1b4f897a308995d914a24472aca453c0b30ae18ce0563b8b434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18bba0f9c183f2ae6088f3d498f7e317d0438574cd5e0cd681cdfeee7a8413a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-12-10T12:39:05Z",
    "title_canon_sha256": "0bb18e8493c5e283be4df460a3f02b17f70ec7f8d41cb710d891e72ef8d22756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.05290",
    "kind": "arxiv",
    "version": 4
  }
}