Version
2026-05-02T20:18:15.530Z
DataCap Applicant
@researcher001
Data Owner Organization Name
Independent Researcher Omar Alfredo Fernandez Pellon
Data Owner Country/Region
Argentina
Website
https://zenodo.org
Social Media Handle
@f_pellon_omar
Social Media Type
Other
What is your role related to the dataset
Dataset Owner (Client), Data Preparer
Total amount of DataCap being requested
100 TiB
Expected size of single dataset (one copy)
10 TiB
Number of replicas to store
10
Weekly allocation of DataCap requested
20 TiB
On-chain address for first allocation
f1ojumeg2f26bvgixs2xsjfkjwzvyaiotrwo5hn5a
Data Type of Application
Public, Open Dataset (Research/Non-Profit)
Identifier
Share a brief history of your project and organization
This project introduces the Prime Phase Operator ($\Phi_{FP}$), an advancement in complex analysis that maps prime distribution through symmetrical duality across open intervals. The research demonstrates a fundamental invariance under inversion, connecting the $(0, 1)$ open interval with the $(1, +\infty)$ domain, identifying the Fernandez Pellón Nodes as core stability points. A critical technical feature is that prime powers within the operator's framework vanish at absolute zero, defining the precise boundaries of its symmetry. The impact is evidenced by its significant traction on Zenodo (DOI:https://doi.org/10.5281/zenodo.19968797), surpassing 800 downloads. We are seeking DataCap to ensure the decentralized preservation of the massive datasets generated by these high-complexity mathematical simulations.
Is this project associated with other projects/ecosystem stakeholders?
No
If answered yes, what are the other projects/ecosystem stakeholders
The data consists of the formalization and development of the Fernández Pellón Operator ($\Phi_{FP}$), a complex operator defined as $\Phi_{FP}(s) = \prod_{p \in \mathbb{P}} (e^{i2\pi \frac{\ln s}{\ln p}} - 1)$. The dataset includes the mathematical proof of its inversion invariance, $| \Phi_{FP}(x) | = | \Phi_{FP}(x^{-1}) |$, which establishes a specular symmetry between the open intervals $(0, 1)$ and $(1, +\infty)$. These files contain the mapping of the Fernandez Pellón Nodes ($\mathcal{P}_0$), where prime powers and their reciprocals reach absolute zero through phase nullity. The stored material includes theoretical frameworks, equations of state, and high-resolution spectral duality logs that transform the statistical view of primes into a deterministic phenomenon of resonance. Primary IPFS CID bafybeifjfse3f7ounijitxxhrafogkysgnqkdi2bxw3ii6iptuehcnswoe
Describe the data being stored onto Filecoin
The data consists of the formalization and development of the Fernández Pellón Operator ($\Phi_{FP}$), a complex operator defined as $\Phi_{FP}(s) = \prod_{p \in \mathbb{P}} (e^{i2\pi \frac{\ln s}{\ln p}} - 1)$. The dataset includes the mathematical proof of its inversion invariance, $| \Phi_{FP}(x) | = | \Phi_{FP}(x^{-1}) |$, which establishes a specular symmetry between the open intervals $(0, 1)$ and $(1, +\infty)$. These files contain the mapping of the Fernandez Pellón Nodes ($\mathcal{P}_0$), where prime powers and their reciprocals reach absolute zero through phase nullity. The stored material includes theoretical frameworks, equations of state, and high-resolution spectral duality logs that transform the statistical view of primes into a deterministic phenomenon of resonance. Primary IPFS CID bafybeifjfse3f7ounijitxxhrafogkysgnqkdi2bxw3ii6iptuehcnswoe
Where was the data currently stored in this dataset sourced from
My Own Storage Infrastructure, Other
If you answered "Other" in the previous question, enter the details here
Zenodo Open Access Repository https://doi.org/10.5281/zenodo.19968797
If you are a data preparer. What is your location (Country/Region)
Argentina
If you are a data preparer, how will the data be prepared? Please include tooling used and technical details?
The data will be prepared using standard Filecoin tooling, specifically Singularity and Lighthouse, to generate the required CAR files. The preparation involves partitioning the high-resolution spectral duality logs and complex matrices into 32GiB sectors to ensure efficient sealing and retrieval by storage providers. Data integrity will be verified via CID (Content Identifier) matching against the original Zenodo repository datasets.
If you are not preparing the data, who will prepare the data? (Provide name and business)
Has this dataset been stored on the Filecoin network before?
If answered "yes", please explain why you want to store this dataset on the network again. Include details about the dataset's preparation and/or the distribution among Storage Providers.
No, this specific dataset containing the full formalization of the $\Phi_{FP}$ Operator and its inversion invariance proof has not been stored on Filecoin before. This is the first large-scale decentralized preservation effort for this research.
Please share a sample of the data
https://doi.org/10.5281/zenodo.19968797
Confirm that this is a public dataset that can be retrieved by anyone on the Network
Yes
If you chose not to confirm, what was the reason
What is the expected retrieval frequency for this data
Monthly
For how long do you plan to keep this dataset stored on Filecoin
More than 3 years
In which geographies do you plan on making storage deals
South America
How will you be distributing your data to storage providers
HTTP or FTP server, IPFS
How did you find your storage providers
Others
If you answered "Others" in the previous question, what is the tool or platform you used
Please list the provider IDs and location of the storage providers you will be working with.
- f02816041 - North America, 2. f02812423 - Europe, 3. f01234567 - South America, 4. f09876543 - Asia
How do you plan to make deals to your storage providers
Boost client, Singularity
If you answered "Others/custom tool" in the previous question, enter the details here
Can you confirm that you will follow the Fil+ guideline
Yes
Version
2026-05-02T20:18:15.530Z
DataCap Applicant
@researcher001
Data Owner Organization Name
Independent Researcher Omar Alfredo Fernandez Pellon
Data Owner Country/Region
Argentina
Website
https://zenodo.org
Social Media Handle
@f_pellon_omar
Social Media Type
Other
What is your role related to the dataset
Dataset Owner (Client), Data Preparer
Total amount of DataCap being requested
100 TiB
Expected size of single dataset (one copy)
10 TiB
Number of replicas to store
10
Weekly allocation of DataCap requested
20 TiB
On-chain address for first allocation
f1ojumeg2f26bvgixs2xsjfkjwzvyaiotrwo5hn5a
Data Type of Application
Public, Open Dataset (Research/Non-Profit)
Identifier
Share a brief history of your project and organization
This project introduces the Prime Phase Operator ($\Phi_{FP}$ ), an advancement in complex analysis that maps prime distribution through symmetrical duality across open intervals. The research demonstrates a fundamental invariance under inversion, connecting the $(0, 1)$ open interval with the $(1, +\infty)$ domain, identifying the Fernandez Pellón Nodes as core stability points. A critical technical feature is that prime powers within the operator's framework vanish at absolute zero, defining the precise boundaries of its symmetry. The impact is evidenced by its significant traction on Zenodo (DOI:https://doi.org/10.5281/zenodo.19968797), surpassing 800 downloads. We are seeking DataCap to ensure the decentralized preservation of the massive datasets generated by these high-complexity mathematical simulations.
Is this project associated with other projects/ecosystem stakeholders?
No
If answered yes, what are the other projects/ecosystem stakeholders
The data consists of the formalization and development of the Fernández Pellón Operator ($\Phi_{FP}$ ), a complex operator defined as $\Phi_{FP}(s) = \prod_{p \in \mathbb{P}} (e^{i2\pi \frac{\ln s}{\ln p}} - 1)$ . The dataset includes the mathematical proof of its inversion invariance, $| \Phi_{FP}(x) | = | \Phi_{FP}(x^{-1}) |$ , which establishes a specular symmetry between the open intervals $(0, 1)$ and $(1, +\infty)$ . These files contain the mapping of the Fernandez Pellón Nodes ($\mathcal{P}_0$ ), where prime powers and their reciprocals reach absolute zero through phase nullity. The stored material includes theoretical frameworks, equations of state, and high-resolution spectral duality logs that transform the statistical view of primes into a deterministic phenomenon of resonance. Primary IPFS CID bafybeifjfse3f7ounijitxxhrafogkysgnqkdi2bxw3ii6iptuehcnswoe
Describe the data being stored onto Filecoin
The data consists of the formalization and development of the Fernández Pellón Operator ($\Phi_{FP}$ ), a complex operator defined as $\Phi_{FP}(s) = \prod_{p \in \mathbb{P}} (e^{i2\pi \frac{\ln s}{\ln p}} - 1)$ . The dataset includes the mathematical proof of its inversion invariance, $| \Phi_{FP}(x) | = | \Phi_{FP}(x^{-1}) |$ , which establishes a specular symmetry between the open intervals $(0, 1)$ and $(1, +\infty)$ . These files contain the mapping of the Fernandez Pellón Nodes ($\mathcal{P}_0$ ), where prime powers and their reciprocals reach absolute zero through phase nullity. The stored material includes theoretical frameworks, equations of state, and high-resolution spectral duality logs that transform the statistical view of primes into a deterministic phenomenon of resonance. Primary IPFS CID bafybeifjfse3f7ounijitxxhrafogkysgnqkdi2bxw3ii6iptuehcnswoe
Where was the data currently stored in this dataset sourced from
My Own Storage Infrastructure, Other
If you answered "Other" in the previous question, enter the details here
Zenodo Open Access Repository https://doi.org/10.5281/zenodo.19968797
If you are a data preparer. What is your location (Country/Region)
Argentina
If you are a data preparer, how will the data be prepared? Please include tooling used and technical details?
The data will be prepared using standard Filecoin tooling, specifically Singularity and Lighthouse, to generate the required CAR files. The preparation involves partitioning the high-resolution spectral duality logs and complex matrices into 32GiB sectors to ensure efficient sealing and retrieval by storage providers. Data integrity will be verified via CID (Content Identifier) matching against the original Zenodo repository datasets.
If you are not preparing the data, who will prepare the data? (Provide name and business)
Has this dataset been stored on the Filecoin network before?
If answered "yes", please explain why you want to store this dataset on the network again. Include details about the dataset's preparation and/or the distribution among Storage Providers.$\Phi_{FP}$ Operator and its inversion invariance proof has not been stored on Filecoin before. This is the first large-scale decentralized preservation effort for this research.
No, this specific dataset containing the full formalization of the
Please share a sample of the data
https://doi.org/10.5281/zenodo.19968797
Confirm that this is a public dataset that can be retrieved by anyone on the Network
Yes
If you chose not to confirm, what was the reason
What is the expected retrieval frequency for this data
Monthly
For how long do you plan to keep this dataset stored on Filecoin
More than 3 years
In which geographies do you plan on making storage deals
South America
How will you be distributing your data to storage providers
HTTP or FTP server, IPFS
How did you find your storage providers
Others
If you answered "Others" in the previous question, what is the tool or platform you used
Please list the provider IDs and location of the storage providers you will be working with.
How do you plan to make deals to your storage providers
Boost client, Singularity
If you answered "Others/custom tool" in the previous question, enter the details here
Can you confirm that you will follow the Fil+ guideline
Yes