Pith Number

pith:S2QYVJU2

pith:2010:S2QYVJU2ZZMT4KGJKIAMOM4Y42

not attested not anchored not stored refs pending

Four Loop Massless Propagators: a Numerical Evaluation of All Master Integrals

A.V. Smirnov, M. Tentyukov

arxiv:1004.1149 v1 · 2010-04-07 · 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{S2QYVJU2ZZMT4KGJKIAMOM4Y42}

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	2026-05-18T02:33:34.794550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96a18aa69ace593e28c95200c73398e6a7a2b1691df14cf7359e97e6307ff693

Aliases

arxiv: 1004.1149 · arxiv_version: 1004.1149v1 · doi: 10.48550/arxiv.1004.1149 · pith_short_12: S2QYVJU2ZZMT · pith_short_16: S2QYVJU2ZZMT4KGJ · pith_short_8: S2QYVJU2

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/S2QYVJU2ZZMT4KGJKIAMOM4Y42 \
  | 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: 96a18aa69ace593e28c95200c73398e6a7a2b1691df14cf7359e97e6307ff693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86be080cf977c1df9ed1bbb44754bc322f9735c161f65d26a55d85cc5db4597e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-04-07T18:38:02Z",
    "title_canon_sha256": "5e9af98a41bdebebc4812481e86bccfea70a9bfb4ad67d24501db651aa0381cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1149",
    "kind": "arxiv",
    "version": 1
  }
}