Pith Number

pith:GMMD7DKL

pith:2018:GMMD7DKLWTSL53QVOLQHUSCLOF

not attested not anchored not stored refs pending

Five-loop massless propagator integrals

Alessandro Georgoudis, Erik Panzer, Raul Pereira, Vasco Gon\c{c}alves

arxiv:1802.00803 v1 · 2018-02-02 · 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{GMMD7DKLWTSL53QVOLQHUSCLOF}

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

Four-loop Anomalous Dimensions of Scalar-QED Theory from Operator Product Expansion

Receipt and verification

First computed	2026-05-18T00:24:32.329311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33183f8d4bb4e4beee1572e07a484b715887b2b37f267eb219a602c2680be399

Aliases

arxiv: 1802.00803 · arxiv_version: 1802.00803v1 · doi: 10.48550/arxiv.1802.00803 · pith_short_12: GMMD7DKLWTSL · pith_short_16: GMMD7DKLWTSL53QV · pith_short_8: GMMD7DKL

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/GMMD7DKLWTSL53QVOLQHUSCLOF \
  | 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: 33183f8d4bb4e4beee1572e07a484b715887b2b37f267eb219a602c2680be399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b50a4a2c26592dfc1c4521cfa04d5c633b965b86109d66580a3a7a4a32715a7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-02-02T18:54:51Z",
    "title_canon_sha256": "a46d9ca4d10eeb05217271c0de5be3bd2a244e201cc7fec5642c9bc1022291a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00803",
    "kind": "arxiv",
    "version": 1
  }
}