CMDE 4.1 Validation Suite v2
Recommended citation formats

This file provides recommended citation formats for the CMDE 4.1 Validation Suite v2 and for the associated CMDE 4.1 manuscripts. It is intended as a practical reference for users who wish to acknowledge the use of the suite and of the underlying theoretical framework in their own work.

1. Citation of the CMDE 4.1 Validation Suite v2 archive

Plain-text citation

Carenzi, I. (2025). CMDE 4.1 Validation Suite v2: Supplementary numerical tests for an informational time metric in cosmology. Zenodo archive.

This citation refers to the public archive that collects the 270 numerical tests, organised into 28 blocks, together with the documentation and reproducibility note that define the numerical environment and validation thresholds. The exact bibliographic details and identifiers (such as the Zenodo record information) should be taken from the official Zenodo entry corresponding to this archive and from the published CMDE 4.1 manuscripts.

BibTeX citation

@misc{Carenzi_CMDE41_ValidationSuite_v2,
  author    = {Carenzi, Ivan},
  title     = {CMDE 4.1 Validation Suite v2: Supplementary numerical tests for an informational time metric in cosmology},
  year      = {2025},
  publisher = {Zenodo},
  note      = {CMDE 4.1 numerical validation archive}
}

Users are free to adapt the BibTeX key and fields to match the conventions of their bibliography management system, while keeping the core information unchanged.

2. Citation of the CMDE 4.1 foundations manuscript

The theoretical definition of the CMDE 4.1 informational time metric, including the three-phase function z(t), the log-Hermite raccordo in logarithmic time and the broader informational framework, is presented in the CMDE 4.1 foundations manuscript. A journal-neutral citation format is:

Plain-text citation

Carenzi, I. (2025). CMDE 4.1: An informational time metric for cosmology — Foundations.

This reference should be cited whenever the theoretical structure of the CMDE 4.1 metric, its axioms and the derivation of the three-phase function z(t) are directly relevant to the discussion.

3. Citation of the CMDE 4.1 core-validation manuscript

The quantitative confrontation of CMDE 4.1 with representative cosmological observables (such as surface-brightness laws, supernova distances, BAO-related quantities, H(z) measurements, CMB distance priors and high-redshift galaxy constraints) is presented in the core-validation manuscript. A journal-neutral citation format is:

Plain-text citation

Carenzi, I. (2025). CMDE 4.1: An informational time metric for cosmology — Core validation against observables.

This reference should be cited whenever the numerical comparison between CMDE 4.1 and observational data, or the interpretation of tensions and agreements, plays a central role in the argument.

4. Recommended combined usage

When the CMDE 4.1 Validation Suite v2 is used as a numerical backbone for new analyses, it is recommended that authors cite both the suite itself and the relevant CMDE 4.1 manuscripts. A typical pattern is:

– cite the Validation Suite v2 archive as the source of the numerical tests, pipelines and reproducibility framework;
– cite the Foundations manuscript when discussing the structure and properties of the CMDE 4.1 time metric;
– cite the Core-validation manuscript when referring to the quantitative comparison between CMDE 4.1 predictions and observational datasets.

The precise bibliographic details (journal names, volume, pages, identifiers) should always follow the information given in the official records of the archive and of the published papers.
