Pith Number

pith:Q7DFM36F

pith:2026:Q7DFM36FC52M7AMO2WG6JNTDDE

not attested not anchored not stored refs resolved

Factorization of denominators as a `fuel' for Feynman integral reduction

Alexander V. Smirnov, Egor Yu. Chuvashov, Vladislav. A. Fokin

Factorization patterns in denominators of IBP coefficients can be exploited to lower the cost of rational-function simplification in Feynman integral reductions.

arxiv:2605.13256 v1 · 2026-05-13 · 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{Q7DFM36FC52M7AMO2WG6JNTDDE}

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.

Claims

C1strongest claim

The resulting workflow reduces reconstruction cost and improves robustness of large-scale reductions.

C2weakest assumption

That the observed denominator factorization patterns occur frequently enough and can be detected reliably enough in generic IBP problems to produce measurable practical gains.

C3one line summary

Algorithms that factor denominators in IBP coefficients inside the FUEL interface reduce reconstruction cost and improve robustness of large-scale Feynman integral reductions.

References

45 extracted · 45 resolved · 2 Pith anchors

[1] National Bureau of Stan- dards (1964) 1964

[2] JHEP 07, 046 (2004) 2004 · doi:10.1088/1126-6708/2004/07/046

[3] In: Conference on Symbolic and Algebraic Computation (2011) 2011

[4] Belitsky, A.V., Smirnov, A.V., Yakovlev, R.V.: Balancing act: Multivariate rational reconstruc- tion for ibp. Nucl. Phys. B 993, 116253 (2023). doi:10.1016/j.nuclphysb.2023.116253 2023 · doi:10.1016/j.nuclphysb.2023.116253

[5] In: STOC ’88 (1988) 1988 · doi:10.1145/62212.62241

Receipt and verification

First computed	2026-05-18T02:44:49.388884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87c6566fc51774cf818ed58de4b66319207960e60d3e4947918028c2982e4416

Aliases

arxiv: 2605.13256 · arxiv_version: 2605.13256v1 · doi: 10.48550/arxiv.2605.13256 · pith_short_12: Q7DFM36FC52M · pith_short_16: Q7DFM36FC52M7AMO · pith_short_8: Q7DFM36F

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/Q7DFM36FC52M7AMO2WG6JNTDDE \
  | 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: 87c6566fc51774cf818ed58de4b66319207960e60d3e4947918028c2982e4416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbac711ddc7786f77ab73b02d77bf25d87ba719ebd226e56f2a70761e9e1068b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-13T09:39:49Z",
    "title_canon_sha256": "731413bb95faed4626dd3036f2b4b1b9eba4712d3f5fd28acca516b8ca8c81b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13256",
    "kind": "arxiv",
    "version": 1
  }
}