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A Historical Note on My P vs. NP Manuscript

Hemant Pandey

Permanent Archive

Zenodo DOI:
https://doi.org/10.5281/zenodo.21770323

In 2006, I submitted a manuscript titled “P Vs NP…. Are they same?” to the journal Applied Mathematics and Computation (Elsevier).

The manuscript progressed to the Article in Press stage and was assigned a DOI during the publication process. Before final publication, however, I chose to withdraw the manuscript. As a result, it was never published as a peer-reviewed journal article.

For many years, the manuscript remained unavailable to the research community.

To preserve the historical record and provide a permanent, citable archive, I have now deposited the original manuscript on Zenodo.

Zenodo Archive

DOI: https://doi.org/10.5281/zenodo.21770323

The purpose of this archive is to:

• preserve the original manuscript in its historical form,
• establish a permanent public record,
• allow interested researchers to examine the work,
• encourage technical discussion and constructive criticism.

This archive should not be interpreted as a claim that the P versus NP problem has been solved. The manuscript represents my research at that time and is made available so that others may evaluate its ideas independently.

As with any work on a Millennium Prize Problem, readers are encouraged to critically examine every argument, assumption, and proof step.

Future revisions, clarifications, or expanded discussions—if any—will be released separately and clearly identified as later versions.

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Citation

Pandey, H. P Vs NP…. Are they same? Zenodo (2026).

DOI: https://doi.org/10.5281/zenodo.21770323

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