Pith Number

pith:WOWUXWBZ

pith:2019:WOWUXWBZEQLWND6BNX4EC3GATK

not attested not anchored not stored refs pending

Loop Tree Duality for multi-loop numerical integration

Ben Ruijl, Dario Kermanschah, Valentin Hirschi, Zeno Capatti

arxiv:1906.06138 v1 · 2019-06-14 · 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{WOWUXWBZEQLWND6BNX4EC3GATK}

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

General finite two-loop amplitude integrand for photoproduction in quark annihilation

Receipt and verification

First computed	2026-07-05T00:12:00.866270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3ad4bd8392417668fc16df8416cc09a85c191205180b71569f9d8bd558b5ceb

Aliases

arxiv: 1906.06138 · arxiv_version: 1906.06138v1 · doi: 10.48550/arxiv.1906.06138 · pith_short_12: WOWUXWBZEQLW · pith_short_16: WOWUXWBZEQLWND6B · pith_short_8: WOWUXWBZ

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/WOWUXWBZEQLWND6BNX4EC3GATK \
  | 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: b3ad4bd8392417668fc16df8416cc09a85c191205180b71569f9d8bd558b5ceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc8a05419951d0672441e7e999e3eccce3c72adf0ad24822c929ac9dbb57224d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-06-14T11:44:31Z",
    "title_canon_sha256": "80281235d4125fe3684bcf2f84cf03682dde979ae5a3ffaaa9f7b0642ac49f9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06138",
    "kind": "arxiv",
    "version": 1
  }
}