Pith Number

pith:LAWGHXIJ

pith:2022:LAWGHXIJYXKI3GCIPHVC3BYW27

not attested not anchored not stored refs pending

The three-loop equal-mass banana integral in $\varepsilon$-factorised form with meromorphic modular forms

Sebastian P\"ogel, Stefan Weinzierl, Xing Wang

arxiv:2207.12893 v2 · 2022-07-26 · hep-th · hep-ph · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAWGHXIJYXKI3GCIPHVC3BYW27}

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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

8 papers in Pith

From geometry to phenomenology

IterInt: Evaluating iterated integrals via differential equations

Fano and Reflexive Polytopes from Feynman Integrals

Towards Motivic Coactions at Genus One from Zeta Generators

New algorithms for Feynman integral reduction and $\varepsilon$-factorised differential equations

Receipt and verification

First computed	2026-07-05T05:01:27.638664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

582c63dd09c5d48d984879ea2d8716d7d9f568fa0d9a68170b07dcdd7236609d

Aliases

arxiv: 2207.12893 · arxiv_version: 2207.12893v2 · doi: 10.48550/arxiv.2207.12893 · pith_short_12: LAWGHXIJYXKI · pith_short_16: LAWGHXIJYXKI3GCI · pith_short_8: LAWGHXIJ

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/LAWGHXIJYXKI3GCIPHVC3BYW27 \
  | 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: 582c63dd09c5d48d984879ea2d8716d7d9f568fa0d9a68170b07dcdd7236609d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa108d0d8b99fbbabf40cb08d9e250523eb9c22a43df0bb12d3c397a87ef24a",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-07-26T13:42:59Z",
    "title_canon_sha256": "a5aae8b699665092b6a77571eff4fb5d989a983e4b2ce04c680e94149af54caa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.12893",
    "kind": "arxiv",
    "version": 2
  }
}