Pith Number

pith:7P2OQG7D

pith:2026:7P2OQG7DMQFS7EXHMHBTQCJANN

not attested not anchored not stored refs resolved

Matching higher-dimensional operators at finite temperature for general models

Fabio Bernardo, Philipp Schicho, Romain Guillermo Reinle

Generic models with scalars, fermions and gauge fields now have automated matching of dimension-five and -six operators in their three-dimensional high-temperature effective theories.

arxiv:2605.15176 v1 · 2026-05-14 · 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{7P2OQG7DMQFS7EXHMHBTQCJANN}

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

This work automates the matching of generic three-dimensional dimension-five and -six operators for arbitrary models containing scalars, fermions, and gauge fields, implemented as an extension of the Mathematica package DRalgo.

C2weakest assumption

The high-temperature expansion remains valid and the chosen operator basis after field redefinitions captures all relevant contributions without missing gauge-dependent artifacts that affect physical observables.

C3one line summary

The authors automate matching of generic 3D dimension-five and -six operators for arbitrary models, implemented in an extension of DRalgo with public code and examples for scalar-Yukawa, hot QCD, and the full Standard Model.

References

85 extracted · 85 resolved · 45 Pith anchors

[1] Auclairet al.(LISA Cosmology Working Group), Cosmol- ogy with the Laser Interferometer Space Antenna, Living Rev 2023

[2] P. H. Ginsparg, First Order and Second Order Phase Transitions in Gauge Theo ries at Finite Temperature, Nucl. Phys. B 170 (1980) 388. 29 1980

[3] T. Appelquist and R. D. Pisarski, High-Temperature Yang-Mills Theories and Three-Dimensional Quantum Chromodynamics, Phys. Rev. D 23 (1981) 2305 1981

[4] Nadkarni, Dimensional Reduction in Finite Temperature Quantum Chrom odynamics 1988

[5] N. P. Landsman, Limitations to Dimensional Reduction at High Temperature, Nucl. Phys. B 322 (1989) 498 1989

Receipt and verification

First computed	2026-05-17T21:40:25.228869Z
Last reissued	2026-05-17T21:57:18.576396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

fbf4e81be3640b2f92e761c33809206b516d2e87581935f836c925e5d3edd7dd

Aliases

arxiv: 2605.15176 · arxiv_version: 2605.15176v1 · pith_short_12: 7P2OQG7DMQFS · pith_short_16: 7P2OQG7DMQFS7EXH · pith_short_8: 7P2OQG7D

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/7P2OQG7DMQFS7EXHMHBTQCJANN \
  | 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: fbf4e81be3640b2f92e761c33809206b516d2e87581935f836c925e5d3edd7dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f37564edab7b0084b51113453415d5d9f15b494c497701bd8783cb3249f5863",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-14T17:57:40Z",
    "title_canon_sha256": "a8fc8626e5c754144648088e2987086215f2695133b7dbf6c96ca1eb250ee6f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15176",
    "kind": "arxiv",
    "version": 1
  }
}