Pith Number

pith:PXX5SXWR

pith:2022:PXX5SXWRIFE2Q7R2RSSMBEVHNJ

not attested not anchored not stored refs pending

Bananas of equal mass: any loop, any order in the dimensional regularisation parameter

Sebastian P\"ogel, Stefan Weinzierl, Xing Wang

arxiv:2212.08908 v2 · 2022-12-17 · hep-th · hep-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXX5SXWRIFE2Q7R2RSSMBEVHNJ}

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

9 papers in Pith

Approximating Feynman integrals using complete monotonicity and Stieltjes properties

From geometry to phenomenology

IterInt: Evaluating iterated integrals via differential equations

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	2026-07-05T06:08:15.714548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7defd95ed14149a87e3a8ca4c092a76a7c3458387bfcd7293f04f857e6871bf7

Aliases

arxiv: 2212.08908 · arxiv_version: 2212.08908v2 · doi: 10.48550/arxiv.2212.08908 · pith_short_12: PXX5SXWRIFE2 · pith_short_16: PXX5SXWRIFE2Q7R2 · pith_short_8: PXX5SXWR

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/PXX5SXWRIFE2Q7R2RSSMBEVHNJ \
  | 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: 7defd95ed14149a87e3a8ca4c092a76a7c3458387bfcd7293f04f857e6871bf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1085fc6291e10218bc36c874eca679cc7a4f50efab70b05dd71f69a2fc6e058",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-12-17T15:52:23Z",
    "title_canon_sha256": "7b94b745d0109cf2d890b8a36728a5584fa44d33c3488cb03c3b4381643abce7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.08908",
    "kind": "arxiv",
    "version": 2
  }
}