# Submission metadata for ReScience C
title: "[Re] Unstable modes in the four-dimensional causal-set d'Alembertian: replication and robustness"

authors:
  - name: LiWeibing
    orcid:
    email: clodius0713@gmail.com
    affiliations: 1,*

affiliations:
  - code: 1
    name: Independent Researcher
    address: China

keywords: rescience c, causal sets, nonlocal operators, numerical stability, Python

code:
  - url: https://github.com/ylty0713/causet-gcb-replication
  - doi:
  - swh:

data:
  - url:
  - doi:

replication:
  - cite: "S. Aslanbeigi, M. Saravani, and R. D. Sorkin, Generalized causal set d'Alembertians, Journal of High Energy Physics 2014, 24 (2014)."
  - bib: aslanbeigi2014
  - url: https://arxiv.org/pdf/1403.1622
  - doi: 10.1007/JHEP06(2014)024

abstract: "We independently reproduce the unstable complex spectral zeros of the continuum-averaged four-dimensional causal-set d'Alembertian. Adaptive quadrature and nonlinear root finding locate the conjugate pair, while a keyhole-contour argument-principle calculation independently counts two nonzero zeros. We test the count against contour and sampling variations. For the first nonminimal five-layer family, implicit differentiation and numerical continuation show that the unstable pair persists under small deformations and throughout the tested interval -20 <= q <= 20. The repository contains the implementation, regression tests, convergence records, figures, and a pinned Python environment."

bibliography: paper.bib
type: Replication
domain: Physics
language: Python

review:
  - url:

contributors:
  - name:
    orcid:
    role: editor
  - name:
    orcid:
    role: reviewer
  - name:
    orcid:
    role: reviewer

dates:
  - received:
  - accepted:
  - published:

article:
  - number:
  - doi:
  - url:

journal:
  - name: "ReScience C"
  - issn: 2430-3658
  - volume:
  - issue: