Pith Number

pith:3MMEPZHK

pith:2018:3MMEPZHKTIZERRT66KJ4LMS7AL

not attested not anchored not stored refs pending

Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the non-planar graphs

Amedeo Primo, Pierpaolo Mastrolia, Stefano Di Vita, Stefano Laporta, Ulrich Schubert

arxiv:1806.08241 v2 · 2018-06-20 · hep-ph · 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{3MMEPZHKTIZERRT66KJ4LMS7AL}

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	2026-05-18T00:05:45.305844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db1847e4ea9a3248c67ef293c5b25f02d9e6a72f2438ead19e342b2b6b47edd5

Aliases

arxiv: 1806.08241 · arxiv_version: 1806.08241v2 · doi: 10.48550/arxiv.1806.08241 · pith_short_12: 3MMEPZHKTIZE · pith_short_16: 3MMEPZHKTIZERRT6 · pith_short_8: 3MMEPZHK

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/3MMEPZHKTIZERRT66KJ4LMS7AL \
  | 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: db1847e4ea9a3248c67ef293c5b25f02d9e6a72f2438ead19e342b2b6b47edd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59cc066d942bc6d8d8c877d0240553fcae69316b036ccdf92888b866ed2d96d5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-06-20T17:01:27Z",
    "title_canon_sha256": "a423a0d6e93a4af30085e463f527907fcfb9e072b8ab66bff608d89e8068a62c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08241",
    "kind": "arxiv",
    "version": 2
  }
}