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.
Citation
Pandey, H. P Vs NP…. Are they same? Zenodo (2026).
DOI: https://doi.org/10.5281/zenodo.21770323
Permanent Archive & GitHub Record
The historical manuscript “P Vs NP…. Are they same?” has now been permanently archived on Zenodo with a DOI, providing a stable and citable record of the work.
Zenodo archive: 10.5281/zenodo.21770323
The manuscript has now been included in the community-maintained P vs. NP historical catalogue. The live catalogue records the 2006 submission as Entry #17, noting that the manuscript was submitted to Applied Mathematics and Computation, subsequently withdrawn, and preserved on Zenodo as a historical archival record. The GitHub Pull Request #3 requesting inclusion has been merged into the repository.
P vs. NP historical catalogue: P vs. NP — historical proof-attempt catalogue
Original viXra record: P vs NP … Are They Same? — the archived 2006 manuscript record.
Pull Request #3: Add Hemant Pandey’s 2006 P vs. NP manuscript — merged into main.
The GitHub submission is intended as a historical and archival record of the proof attempt, not as a claim that P vs. NP has been solved.