Pith Number

pith:4WYLLRJ7

pith:2017:4WYLLRJ7Z7Z5KQZW4Q2CVG3C3B

not attested not anchored not stored refs pending

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case

Claude Duhr, Einan Gardi, Ruth Britto, Samuel Abreu

arxiv:1704.07931 v2 · 2017-04-25 · hep-th · 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{4WYLLRJ7Z7Z5KQZW4Q2CVG3C3B}

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

2 papers in Pith

Deriving motivic coactions and single-valued maps at genus zero from zeta generators

Towards Motivic Coactions at Genus One from Zeta Generators

Receipt and verification

First computed	2026-05-18T00:24:37.737957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b0b5c53fcff3d54336e4342a9b62d84beffe86f7bf6a745dbebaa3cd956832

Aliases

arxiv: 1704.07931 · arxiv_version: 1704.07931v2 · doi: 10.48550/arxiv.1704.07931 · pith_short_12: 4WYLLRJ7Z7Z5 · pith_short_16: 4WYLLRJ7Z7Z5KQZW · pith_short_8: 4WYLLRJ7

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/4WYLLRJ7Z7Z5KQZW4Q2CVG3C3B \
  | 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: e5b0b5c53fcff3d54336e4342a9b62d84beffe86f7bf6a745dbebaa3cd956832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f20697e1f9398d07c1890b523ec11b718a5f9799d1227c55a5804bb4e4ab7602",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-04-25T23:34:17Z",
    "title_canon_sha256": "310a38e03b26f0df5d81507a0d340f1ee0df62723b3186267a47a35bf10ee490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07931",
    "kind": "arxiv",
    "version": 2
  }
}