Pith Number

pith:RYCCBDDO

pith:2013:RYCCBDDOAEPO4ZQ246Z743X5JG

not attested not anchored not stored refs pending

The QED vacuum polarization function at four loops and the anomalous magnetic moment at five loops

A. Maier, P. A. Baikov, P. Marquard

arxiv:1307.6105 v2 · 2013-07-23 · 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{RYCCBDDOAEPO4ZQ246Z743X5JG}

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	2026-05-18T03:00:02.981211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e04208c6e011eee661ae7b3fe6efd49924917539c4c9c3ab6884dcac1f81b77

Aliases

arxiv: 1307.6105 · arxiv_version: 1307.6105v2 · doi: 10.48550/arxiv.1307.6105 · pith_short_12: RYCCBDDOAEPO · pith_short_16: RYCCBDDOAEPO4ZQ2 · pith_short_8: RYCCBDDO

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/RYCCBDDOAEPO4ZQ246Z743X5JG \
  | 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: 8e04208c6e011eee661ae7b3fe6efd49924917539c4c9c3ab6884dcac1f81b77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f14addb180adac4bfa56ab82a4ddb8f3e53ebb031166c1b5b257d516955b88b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-07-23T14:40:17Z",
    "title_canon_sha256": "a669ae8ab187b93cebad3aa2d335408a95e14b595606c4601763653b928b24a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6105",
    "kind": "arxiv",
    "version": 2
  }
}