Pith Number

pith:W4HAQVMK

pith:2016:W4HAQVMKTLBZ7ID5XCGEQNZEXZ

not attested not anchored not stored refs pending

Numerical integration of massive two-loop Mellin-Barnes integrals in Minkowskian regions

Ievgen Dubovyk, Janusz Gluza, Johann Usovitsch, Tord Riemann

arxiv:1607.07538 v3 · 2016-07-26 · 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{W4HAQVMKTLBZ7ID5XCGEQNZEXZ}

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	2026-05-18T01:03:26.129991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70e08558a9ac39fa07db88c483724be41c4f6d9a9243a6efcea592efbb76db0

Aliases

arxiv: 1607.07538 · arxiv_version: 1607.07538v3 · doi: 10.48550/arxiv.1607.07538 · pith_short_12: W4HAQVMKTLBZ · pith_short_16: W4HAQVMKTLBZ7ID5 · pith_short_8: W4HAQVMK

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/W4HAQVMKTLBZ7ID5XCGEQNZEXZ \
  | 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: b70e08558a9ac39fa07db88c483724be41c4f6d9a9243a6efcea592efbb76db0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d341d8ceec4458697de649833b3d1da8e2f4b4e63f696b5e001e6e8ffe70e351",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-07-26T04:47:23Z",
    "title_canon_sha256": "c6db7b979621c275eae12d25f253d6bc5d607ff58400af00d722b01a1bc9ef05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07538",
    "kind": "arxiv",
    "version": 3
  }
}