As a general heads-up, this has a couple of things you might want to read so as to make it more effective: firstly, SCP-1425, for grounding in the Fifthist stuff, secondly, SCP-2747, for the stinger, and finally, SCP-3005, for some more bonuses regarding the pink light and a couple of the other concepts mentioned in the Addendum.
The main plot of this article follows a college student (Myrna Callaghan, or SCP-2495-A) who has a spark of divine inspiration that comes after a dramatically stressful period in her life. This spark essentially tells her a way to create a universal pattern-matching algorithm, which would let her find patterns in anything. The problem is this divine inspiration isn't particularly effective, since she's both so very tired and anxious: the result is that she has this impure, incomprehensible version of the algorithm set down in the draft thesis (Iteration #1).
During this time, she meets Natalia Ianucci, someone with a copy of Star Signals on their person and probably a practicing Fifthist. Natalia introduces her to 1425, and the influence of Fifthism corrupts the idea, a la how it wormed its way into the members of Constellation Starfish. The theme you need to watch for in regards to what her end-goal is are "the light": this refers to the algorithm itself post-Fifthism, in an homage to the "pink light" of SCP-3005.
Nat's Fifthist corruption affects Iterations #2 and #3, with the data being corrupted in a similar way to SCP-3005. The low-level reality-bending abilities 1425 readers get as part of Ojai Syndrome start to set in around Iteration #3, and Myrna gives herself the pattern-matching abilities we see in people who've been exposed to SCP-2495-1. She also realises that if she has these pattern-matching abilities, then she can work with the imperfect form of the pattern-matching algorithm and find the perfection that lies underneath it by studying the patterns within it (basically reverse-engineering it).
At Iteration #4, she locks the light into her head so the "fours" (a reference to the Fifthist's intense hate of fours) won't be able to get at it, hence why the amnestics won't work on her. At Iteration #5, she makes a mistake in her work, seeks out the wrong pattern and receives a certain specific type of pattern matching: namely, being able to see patterns in someone's past to predict their future. She refers to this as "overlaying that new outline" in a similar way to how someone might use polarised lenses or diffraction grates to see interesting patterns in light.
Finally, at Iteration #6, she comes as close as she's able to get to finding the "truth" she's been looking for all this time. The more refined the idea is, the more powerful and infectious it is, to the point where it's in the document and hungering to infect anyone who reads it. She now has "a chain for others", a way of dragging other people with her into this strange Fifthist fucked-upness, but it's got "nothing on its end": it's still not perfect and it can be cured using amnestics.
Seeking for truth, she goes too deep: she finds a pattern, an arrangement of ideas, that annihilates patterns and narratives and leaves nothing but a gaping hole in its wake.
She finds the anafabula, SCP-2747.
Its effects blitz her brain and her computer as the final iteration of SCP-2495 is wiped from existence, and she's found amnesiac in her apartment by the Foundation, unaware of what she's done or how close she was to her goals.