Project Updates

As part of the ongoing work to improve Algebrica, I recently revisited several topics, refining both the content and how the concepts are explained. Here are some of the entries I’ve updated recently. I hope you’ll find them even clearer and more useful:

• Factorial
• Binomial Coefficient
• The Inclusion-Exclusion Principle
• The Cartesian Coordinate Plane

Over the past few weeks, I’ve extensively revised all 25 chapters dedicated to integrals. Now I’d like to take another step toward making the project even more open by inviting anyone with the right knowledge and expertise to help improve the content.

I’d like to start with a single entry as an experiment: The Weierstrass Substitution.

If you’d like to contribute, you’ll find all the details here: https://github.com/antoniolupetti/algebrica/issues/5

You can fork the repository, edit the Markdown file, and submit your changes through a Pull Request. I’m particularly interested in making the explanations and English prose clearer, checking mathematical accuracy and consistency, and adding examples where they might be useful.

Anyone who reviews and improves an entry will be credited directly on the corresponding Algebrica page, in a similar way to the Founding Supporters.

Thank you to anyone who decides to contribute and help make Algebrica better.

Starting today, Algebrica will include an Authorship indicator based on GPTZero (no affiliation), showing the confidence level with which each entry is classified as human-written.

Each indicator also includes a verification link, so anyone can independently check that the reported score is authentic.

The feature will be progressively rolled out across the entire Algebrica corpus. For now, I have tested and enabled it only on a few pages.

You can see an example here: Hyperbolic Cosine Function

I think this adds another useful layer of transparency to a project that has always tried to make its editorial process as open and verifiable as possible.

Starting today, Algebrica includes a public statistics page with website analytics based on server-side data. The statistics are generated directly from the web server logs and are updated almost in real time.

The current month is displayed with daily detail, while previous months are presented in aggregated form together with their month-over-month variation. This provides a transparent overview of how the project has evolved over time. As July 2026 comes to an end, Algebrica has recorded approximately 50,000 unique visitors and more than 160,000 page views.

The highest number of unique visitors was recorded in May 2026, with 88,659 users, while the highest number of page views was reached in April 2026, with 326,064 page views. The most significant growth started in April 2026 and coincided with the launch of my activity on X through the @antoniolupetti account.

Since then, social media has become an important complement to search engines, helping introduce Algebrica to a broader audience while maintaining steady organic growth.

Over the past few days I did a simple calculation that led me to an unavoidable conclusion: I will never be able to cover more than a small fraction of mathematics. Writing a single entry takes a surprising amount of time. In the last four months I have published only seven new pages. Even when I already have enough material, each article goes through study, rewriting, fact-checking, and dozens of revisions before I feel it has the right balance of clarity, quality, and rigor.

In more than three years I have written just over 250 entries. It feels like an enormous amount of work, yet it is only a tiny fraction of what a mathematical knowledge base could contain. I don’t want to solve this by lowering the quality of the content. Instead, I’ve decided to narrow the scope and focus on what I believe matters most: the foundations of analysis, algebra, probability, and statistics, together with a selection of topics in physics and computer science.

This means that Algebrica will gradually shift its focus from adding as many pages as possible to making the existing ones deeper, more complete, and more useful. I’d rather have fewer entries that explore a topic thoroughly than thousands of pages that don’t reflect the standards or the vision I have for this project.

I know some of you would like to see Algebrica cover many more areas of mathematics, and I wish I could make that happen. I hope this choice will make the project more valuable in the long run: perhaps smaller than many would expect, but stronger, more consistent, and faithful to the idea that inspired it from the beginning.

Today I published entry number 250. Over the past five months, my main focus has not been on adding new content, but on a deep revision of almost everything I have written over the last three years. Every page has been carefully reviewed, expanded, corrected where necessary, and refined to improve consistency across the entire knowledge base.

I think the project has now reached a much better balance between clarity and mathematical rigor, making the content more accessible without sacrificing precision.

In parallel, I am working on the formalization of Algebrica’s mathematical ontology. The goal is to represent the relationships between concepts using SKOS, so the knowledge base can also be explored as a semantic graph rather than only through traditional navigation. This is a substantial effort, and I expect to complete it during the second half of this year.

The project continues to grow, but with a strong focus on quality over quantity.

Algebrica recently passed 1 million page views, almost three years after I started publishing its first entries.

In absolute terms, it is not a huge number, but it feels meaningful for a knowledge base built gradually over the years. What began as a personal project has steadily grown, and in recent months, thanks in part to the visibility gained on X and Threads, it has reached a global audience.

I will continue adding new entries and improving existing ones over time. It is a long and careful process, but I would rather move slowly and prioritise quality over quantity.

A special thank you also goes to everyone who has supported the project on GitHub, where Algebrica is now approaching 800 stars. That is another milestone I never expected and deeply appreciate.

If Algebrica helps even a few people understand mathematical concepts more clearly, then I am very happy with what it has become so far.

I cannot claim that this is a statistic or a general trend… but this small experience of mine suggests that there is still interest in free and open personal projects, in resources that are built to last, and in knowledge bases structured more like online books than streams of short-lived content. It also reminds me that, despite the growing impact of artificial intelligence, there is still room for carefully crafted human work, developed patiently over time and made freely available to everyone.

Over the last few months, Algebrica has reached a much wider audience than I ever expected. Some posts shared on X received millions of views, bringing many new readers to the project. The decision to make the content openly available on GitHub also led to valuable feedback and appreciation from the mathematics community, something that means a great deal to me.

Over the past three years I have written around 230 entries. In the context of the web this may not seem like a large number, but for a project built entirely by hand it represents a substantial amount of work. Every page is researched, written, revised, illustrated, and maintained individually. My goal has never been to publish content as quickly as possible, but to produce explanations that are accurate, complete, and supported by diagrams that are both useful and visually clear.

For this reason, before expanding the knowledge base further, I decided to undertake a comprehensive revision of the existing material. The objective is improve consistency, correct mistakes, refine explanations, and raise the overall quality of the project. At the moment I am approximately halfway through this process.

If everything proceeds as planned, I expect to complete most of the revision work by the end of the summer and then return to focusing on new topics and new entries.

Thank you to everyone who has shared comments, suggestions, corrections, and words of encouragement. They help me understand that Algebrica provides value to its readers and can become an increasingly useful resource for students, teachers, and anyone interested in mathematics.

Algebrica is a free, open, and distributed mathematical knowledge base. Since its earliest conception, I never wanted to include advertising or transform it into a click-driven platform. The goal has always been to build a rigorous, accessible, and independent space for mathematical knowledge.

Over the last few months, the project has grown significantly, thanks in part to several posts shared here on X that unexpectedly reached millions of people worldwide. To continue growing Algebrica and progressively transform it from a personal project into a global mathematical resource, I now need your help. For this reason, I decided to launch a series of periodic fundraising campaigns.

The first one is called “The First Twenty”.

The idea is simple: find the first twenty people willing to support the long-term development of Algebrica and help build an independent, ad-free mathematical infrastructure for the web. The first supporters will appear on the Founding Supporters page with their photo and personal profile or website:

https://algebrica.org/founding-supporters/

No aggressive fundraising, no paywalls, no exclusive content. Just people helping sustain open knowledge together.

Thank you to everyone who has supported, shared, read, or simply spent time on Algebrica so far. It means a lot!

In the Algebrica GitHub repository I’m progressively releasing not only all the entries in Markdown format, but also all the diagrams and illustrations as open and fully editable SVG files to improve the accessibility and reusability of the content.

The SVG images can be freely modified, reused, and adapted for educational purposes, making the graphical structure of the entries fully inspectable and portable alongside the text itself.

Example page

I’ve just released a new improved search engine for Algebrica that significantly enhances the quality of search results through the introduction of an internal ranking system.

It is now much easier and more immediate to find individual entries, related concepts, and mathematically connected topics through semantic similarity between entries. The goal is not simply to search pages, but to progressively improve the navigability of mathematics as an interconnected knowledge structure.

At the same time, I’m progressively releasing the entries on GitHub and continuously revising and correcting them where possible. I would also like to thank everyone who is commenting, suggesting improvements, and helping refine the entries, contributing to the growth of Algebrica and to the idea of free and distributed knowledge.

From today, Algebrica’s content is open, free, downloadable in Markdown, and reusable by anyone.

This is a step toward a university-level knowledge base that is freely accessible to everyone. Entries will be progressively released on GitHub in Algebrica’s public repository, and can be reused for non-commercial purposes.

To increase transparency, I’m also documenting the editorial process and revising content to improve accuracy and reliability. On some pages, a quality indicator is now visible, including a GPTZero score (not affiliated), as an additional signal of transparency.

I believe these changes move Algebrica toward something more open, more reliable, and more accessible.

I’d also like to thank everyone for the unexpected response to the project, and for the many visits and thoughtful comments.

After the unexpected growth of the past few days, driven by the strong visibility Algebrica received on X, with over 220,000 views and thousands of reshares, I decided to follow one of the most common suggestions I received.

“Why not make the site collaborative?”

It is something I had already considered in the past but I have always been cautious. Allowing open, unsupervised contributions risks making the content less coherent, less consistent, and less aligned with the unified voice I am trying to build over time. At the same time, it is also true that more minds can lead to better outcomes. For this reason, I decided to move forward step by step.

Starting today, a new Community section is available, where users can suggest edits or additions directly within individual sections of the entries. This feature will not be enabled on all pages at once, but will be rolled out progressively. This approach preserves accuracy, avoids fragmentation, and allows focused work on a limited number of topics at a time, making the process more effective.

Contributions are intentionally constrained: short, targeted edits of up to 850 characters, and always subject to review before publication. The goal is simple: improve the content without losing its identity. Thank you to everyone who has shown interest in these past days, and to those who will contribute to making Algebrica an even stronger, free, and open resource.

Over the past couple of days, Algebrica has seen an unexpected wave of attention on X. Many people have discovered the project and shown appreciation, and that truly means a lot to me, especially considering that I’ve been working on it for more than two and a half years almost entirely in silence, without sharing it on social media.

Some of you raised an interesting point about opening the project to a community. It’s something I’m thinking about and I’ll see how it evolves over the next few months. For now, it remains a personal project that I work on in my spare time, with its obvious and inevitable limitations.

The content is still limited and so is the coverage of topics. Writing a single entry takes a significant amount of time, and moving from Italian to English is particularly challenging for me. Concepts that feel clear in Italian don’t always translate naturally into English.

As explained in the editorial guidelines, I use Grammarly to help with syntax and clarity, but some of you pointed out that the result can sometimes sound a bit unnatural to native speakers. A community could help improve this as well as catch mistakes that I may miss. Some I notice, some you point out, and others probably remain hidden within the content…

I’m not sure what direction the project will take yet but I hope it can be an example for anyone who wants to build something personal simply to share knowledge, without any commercial goal, just for the sake of it.

Thank you all for the support.

Grammarly is not sponsored or affiliated with this project in any way.