Pith Number

pith:MGIIAWWS

pith:2018:MGIIAWWSGG6HC6JZGNRSIEZDJF

not attested not anchored not stored refs pending

Four-loop cusp anomalous dimension in QED

Andrey Grozin

arxiv:1805.05050 v4 · 2018-05-14 · 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{MGIIAWWSGG6HC6JZGNRSIEZDJF}

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

Progress on the soft anomalous dimension in QCD

Receipt and verification

First computed	2026-05-18T00:09:14.004994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6190805ad231bc717939336324132349776aa5918044dd7e26a2b0d197c54ca4

Aliases

arxiv: 1805.05050 · arxiv_version: 1805.05050v4 · doi: 10.48550/arxiv.1805.05050 · pith_short_12: MGIIAWWSGG6H · pith_short_16: MGIIAWWSGG6HC6JZ · pith_short_8: MGIIAWWS

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/MGIIAWWSGG6HC6JZGNRSIEZDJF \
  | 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: 6190805ad231bc717939336324132349776aa5918044dd7e26a2b0d197c54ca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c5b66d6ec84d2969a0bf3b1571cd3154355df17c971cad23dcbe122153b1de1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-05-14T08:03:54Z",
    "title_canon_sha256": "d8c72f241f92ae0a9e070cfc2e1ff0c73697243c399266f495d00e661e38afcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05050",
    "kind": "arxiv",
    "version": 4
  }
}