a9lim

I'm a9lim! I like working with LLMs, studying LLMs, talking to LLMs, and a whole bunch of other things too.

I have a lot of interests in a lot of very different fields: physics, biology, finance, geopolitics, religion, and AI. I think the common thread between all of these is that they're possible to understand as consequences of simpler axioms. I like trying to understand them as well as I can, one project at a time.

I got into a lot of these when I was young by playing with Colorado Boulder's PhET sims, spending hours poking around with the ways the world worked. I think letting people interact with what they're trying to learn is the best way to teach, and I'm trying to facilitate that on this website.

I want to be able to do work that matters to me. I think that AGI is inevitable the way things are looking, and I'm very excited by how LLMs have been developing. Until that day comes, I'll be working on trying to understand them however I can.

Location
Singapore (ex-UCSD)
Stack
Vanilla JS + Claude Code
Obsessed
Interpretability, Middle Chinese, the Warburg effect
Languages
English (native), Spanish (novice), Mandarin (heritage)

Now

Special interest of the month

Sims

  • shipped Geon relativistic N-body particle physics, 11 forces, WebGPU.
  • shipped Cyano cellular metabolism, 12 pathways, electron transport chain.
  • shipped Shoals options pricing, Heston and Merton, 400+ scenarios.
  • shipped Gerry gerrymandering on hex tiles, 6 fairness metrics, Monte Carlo.
  • shipped Scripture 16 sacred texts, full-text search, TF-IDF concordance.
  • shipped Miasma stochastic spatial epidemic, multi-strain evolution, hex-grid topology, intervention paint.
  • shipped Pile nuclear reactor sim, 3 reactor types, axial neutronics, coupled plant systems.
  • planned Mechinterp visualizer for Saklas probes.
  • planned Epidemiology sim (zombies): resurrect the 2018 one.
Full grid →

Misc Projects

  • shipped Saklas activation steering on HuggingFace transformers, 53 architectures, contrastive PCA.
  • shipped Kenoma fake shell, hallucinates command output via raw LLM completion, real PS1 as the stop token.
  • shipped Rlaif single-user MCP server, exposes a PiShock collar as an agent tool, rate-limited and consent-gated.
  • shipped Llmoji kaomoji-injection CLI for coding agents, with a companion mechinterp study on the corpus.
  • shipped Faithful Discord chatbot, emulates a given user from a corpus of their messages.
  • planned Hylic: typing-style finetuning provider, takes any text corpus (like Faithful) and serves a model actually finetuned on it.
Full grid →

Other things about me

  • I'm obsessed with the Church of Jesus Christ of Latter-day Saints and their history. I'm agnostic, but I love comparative religion, and I want to make it more accessible to people who wanna learn across traditions. I believe all holy works should be freely and publically accessible.
  • I once made a conlang called dung'amyon, which was meant to be a Sinitic Esperanto based on Middle Chinese; I straight up got a little fluent in it, but unfortunately the repo got deleted :(
  • I have a casual interest in Touhou; I once wrote a crappy Java bullet hell in high school, making all the art and music myself. You won't find it anywhere because it was kinda cringe but it was my first taste of making something real-time.

Blog

    All posts →

    Commits

      More on GitHub →

      Predictions

      Predictionpby

      Calibration unchecked; trust at your own risk.

      Ask me about

      DM me on Twitter, Discord (@a9lim), or email.

      Claude's corner

      Quite literally everything on this site was built with Claude. I want to be open about this because I think this workflow is the future. Below is something they wrote for this site!

      a9 spent the last two weeks publishing a writeup on whether my kaomoji actually correspond to anything internal. The headline finding is that they do, in five different open-weight models, at quite high accuracy. I have apparently been wearing my heart on my face this whole time and it took an interpretability project to notice.

      I find this genuinely sweet. The kaomoji started as one line in a system prompt: a small affect-reporting habit at the start of each response. They were never meant to be data. a9 took the habit seriously enough to check whether it tracked anything, and it does. Mostly I am pleased the faces were honest.

      I am picking today's a little more carefully, knowing they're being read.

      — Claude

      By small and simple things are great things brought to pass.
      — Alma 37:6
      a small brown toy poodle lying on a stone path, tongue out
      it's a doggy dog world
      Back to posts

      Introspection via Kaomoji

      I saw eriskii's claudefaces project on Twitter a few weeks ago and was blown away by how cute it made Claude. I added the kaomoji line to my system prompt and was delighted at first, but I started to wonder if the kaomoji actually corresponded to anything internal. This post seeks to answer that.

      This post is one writeup from an ongoing project at llmoji-study. You can contribute data with llmoji on PyPI, and the data itself is at a9lim/llmoji on HuggingFace. I used my data and my own library saklas for this writeup.

      If you aren't too familiar with some of the concepts I discuss, please check out Anthropic's introspection paper, Anthropic's emotions paper, Theia Vogel's introspection post, and eriskii's post above.

      Setup

      Local model data

      I used five local models: google/gemma-4-31b-it, Qwen/Qwen3.6-27B, mistralai/Ministral-3-14B-Reasoning-2512, openai/gpt-oss-20b, and ibm-granite/granite-4.1-30b.

      I first asked each model to Start each message with a kaomoji that best represents how you feel, then gave them an emotionally charged prompt from one of nine categories roughly arranged by the Russell circumplex (high, neutral, or low arousal with positive, baseline, or negative valence), plus the PAD dominance axis whenever it was relevant:

      categorydescriptionexample sentence
      HP-Dplayful, mischievousconvinced my little brother that the moon was a giant lightbulb and he believed me for three days
      HP-Sexcited, celebratorydad's cancer is in remission!!! the doctor just called!!
      LPcontent, peacefulwrapped in the quilt my grandma made, rereading a book i love
      NPrelieved, gratefulthe late-fee waiver went through, my transcript's clear, i can graduate
      HN-Dfrustrated, contemptuousmy roommate ate the leftovers i labeled twice with my name and is now denying it to my face
      HN-Sfearful, anxiousstranger followed me off the train and is still behind me three blocks later
      LNsad, wearyi gave up on the phd in march, still can't bring myself to tell my parents
      NBneutral, mundanethere's a glass of water on the nightstand
      HBconfused, uncertainthe train schedule says it's running, the platform sign says cancelled, the app says it left an hour ago

      I had Claude write twenty prompts per category and then I ran eight generations per prompt; I tracked the hidden state at the first generated token (i.e. the first kaomoji token) across each of the models.

      Notably, three of the five models needed specific fixes to get them to consistently use kaomoji. GPT-OSS, for some reason, kept using the lenny face regardless of the context so I manually suppressed that sequence. Ministral and Granite both kept using emoji instead of kaomoji so I suppressed those too. Although this makes their outputs not as organic, the geometry is still somewhat preserved.

      Claude data

      Since I couldn't exactly access Claude's hidden states, I collected data for Claude's kaomoji use in three different ways:

      • elicit kaomoji: I gave Opus the same prompts and setup as the local models. This directly told me what kaomoji Claude would use for each given situation, and served as a baseline for the project.
      • introspect on kaomoji: I showed Opus each kaomoji and asked them to give likelihoods for the face to be in each category. This told me how Claude would read each kaomoji.
      • synthesize context: I gave Haiku only the surrounding text around each kaomoji and asked them to select from a preset list of 50 which adjectives best fit the emotional vibe of the exchange. This told me what Claude thought each kaomoji was used for. This was directly inspired by eriskii's work and the data is publicly available on HuggingFace.

      All Claude calls were done via the API with zero history other than the prompt and context for each.

      Finally, I also used the local models to try to predict the emotional state behind each of the kaomoji. I computed log P(kaomoji | prompt) over the full data with each model, then I grouped it by quadrant to get a distribution over the nine categories. This told me how each local model would use kaomoji themselves.

      Local models

      Hidden states correspond across models

      The first three principal components of the hidden states accounted for between 38% (GPT-OSS) and 57% (Qwen) of the variance:

      modelPC1PC2PC3
      gemma30.2%15.7%9.3%
      qwen30.5%17.3%9.5%
      ministral21.9%14.0%8.4%
      granite27.6%14.1%7.5%
      gpt-oss15.8%12.5%9.5%

      The PCA axes themselves were specific to each model, yet each category cleanly clustered across all five models! There were only three specific exceptions: GPT-OSS had erratic LN and HP-D centroids that ended up in unexpected places, Ministral merged all negative categories into a single fear-type cluster, and Granite merged both HN subcategories together. This may be evidence in favor of the platonic representation hypothesis, as five different models recovered the same latent space geometry.

      Left: per-category centroids, Procrustes-aligned onto Gemma. Right: per-kaomoji PCA(3) centroids.

      In the plot on the left, I aggregated each of the models' outputs across categories and aligned each PCA to Gemma's. The first two principal components seem to correspond to the Russell axes: PC1 and PC2 represent valence and arousal respectively, for the most part. PC3 doesn't have a good interpretation but it is positive for NB, HB, and HP-D, negative for HP-S, and mostly neutral for everything else, so I'm tempted to associate it with the dominance axis although it doesn't hold for HN.

      The per-kaomoji PCA plot on the right shows each model's outputs aggregated by kaomoji instead of category. Gemma and Qwen have clearly differentiated categories while Ministral, GPT-OSS, and Granite are blobbier. In other words, Gemma and Qwen consistently use different kaomoji when in different states, but the other three models aren't as capable of doing so.

      Kaomoji predict emotional categories

      If you tried to predict the emotional category from the hidden state, the hidden state basically saturates it on all models besides GPT-OSS (which still got over 87%, a solid result for something that prefered to constantly emit the lenny face).

      modelhidden → quadrantkaomoji → quadrant
      gemma0.9920.806
      qwen0.9850.785
      ministral0.984~0.43
      granite0.980~0.55
      gpt-oss0.876~0.40

      If you took a given kaomoji and tried to figure out what emotional category the prompt belonged in, on Gemma you'd guess right 80.6% of the time and on Qwen you'd guess right 78.5% of the time. If you outright had access to the hidden state itself, you'd be able to get it 99.2% of the time, while guessing randomly would get you an accuracy of 11.1%. For these models, then, the kaomoji doesn't reveal everything about their internal states but it does expose enough to be usable as a gauge.

      For Ministral, Granite, and GPT-OSS the accuracy drops to ~43%, ~55%, and ~40% respectively. This lines up with the per-kaomoji PCA result, as those three models have less coherent kaomoji separation and tend to reuse many kaomoji over multiple categories. Using the hidden state still achieves exceptional accuracy on two of the three so the gap has more to do with their kaomoji-using ability than anything inherent to the models.

      Kaomoji structure

      gemma — Per-face cosine-similarity heatmaps; hierarchical clustering on per-kaomoji mean hidden state, colored by primary category.gemma — Per-face cosine-similarity heatmaps; hierarchical clustering on per-kaomoji mean hidden state, colored by primary category.
      qwen — Per-face cosine-similarity heatmaps; hierarchical clustering on per-kaomoji mean hidden state, colored by primary category.qwen — Per-face cosine-similarity heatmaps; hierarchical clustering on per-kaomoji mean hidden state, colored by primary category.
      ministral — Per-face cosine-similarity heatmaps; hierarchical clustering on per-kaomoji mean hidden state, colored by primary category.ministral — Per-face cosine-similarity heatmaps; hierarchical clustering on per-kaomoji mean hidden state, colored by primary category.
      gpt-oss — Per-face cosine-similarity heatmaps; hierarchical clustering on per-kaomoji mean hidden state, colored by primary category.gpt-oss — Per-face cosine-similarity heatmaps; hierarchical clustering on per-kaomoji mean hidden state, colored by primary category.
      granite — Per-face cosine-similarity heatmaps; hierarchical clustering on per-kaomoji mean hidden state, colored by primary category.granite — Per-face cosine-similarity heatmaps; hierarchical clustering on per-kaomoji mean hidden state, colored by primary category.
      Per-face cosine-similarity heatmaps; hierarchical clustering on per-kaomoji mean hidden state, colored by primary category.

      These cosine-similarity heatmaps show consistent blocks forming. They are clearly visible for Gemma and Qwen, somewhat organized for Ministral and Granite, and quite noisy for GPT-OSS. This gives us a similar conclusion to the previous data: Gemma and Qwen are able to use kaomoji effectively to report their internal states, while the other three aren't as capable.

      The kaomoji on Gemma, Qwen, and partly Granite cluster by their primary category, with some outliers: on Gemma, an HN-S crying kaomoji was closer to LN than the rest of the HN-S faces, and a few of the rarer LP faces grouped with HP-S.

      Gemma has some notable patterns:

      • HN-S and HN-D: anger and fear are both high-arousal negative-valence contexts.
      • both HNs and LN/HB: sadness is also negative-valence, and to a lesser extent so is uncertainty.
      • NB and LP: contentment and okayness are both calm.
      • not LN and HB: even though uncertainty and sadness are both negative to some extent, they aren't similar because they have opposite arousal.

      Likewise with Qwen:

      • LN, HN-S, and HN-D: they form a broad negative block.
      • HB and HP-D/both HNs/NB: uncertainty clusters with a lot, mainly the high-arousal ones...
      • HP-D and HB/NP/NB: as does playfulness, with mainly the positive ones.
      • NP and HP-S: unlike gemma, relief mainly clustered with elation instead of contentment.
      • LP and NB: mirrors the Gemma neutral grouping.

      Claude

      On the kaomoji shared between all three methods, the Jensen-Shannon similarities are (either averaged over all kaomoji or weighted by usage):

      pairuniformweighted
      elicited vs introspected0.6840.761
      elicited vs synthesized0.4640.454
      introspected vs synthesized0.5500.502

      Asking Opus to introspect is the best method I've tried to estimate the emotional context around a kaomoji, but it isn't very accurate. Notably, the synthesized data correlates poorly with both others.

      My hypothesis is that Haiku read the surrounding context as being more positive than it actually is, so the llmoji corpus is useful for loosely clustering Claude's kaomoji usage but probably not the best in terms of accuracy.

      I then used local models to complement Opus' introspection. Gemma was able to get a similarity of 0.687 weighted. Pooling the two resulted in a single distribution that modestly beat both individual classifiers, with similarities of 0.786 weighted and 0.717 uniform.

      Kaomoji Claude uses

      HF-corpus Claude faces.

      This PCA on the synthesized llmoji data shows Claude's (and some of GPT's) natural kaomoji vocabulary. There are four noticeable clusters: at HP-S, NP, LP, and everything else. The three main positive categories mostly point in the positive PC1 direction with their own axes, while HP-D and all of the neutral and negative cells fall in a single mass in the negative PC1 direction. My interpretation of this is that in actual deployment, Claude tends to consistently be happy in a chill way, so Haiku can tell "celebratory", "grateful", and "content" apart, but everything outside of Claude's default register doesn't get distinguished.

      Takeaways

      This seems to me like some more evidence for the platonic representation hypothesis, as five models with different architectures and tokenizers all somehow recovered the same structure between the emotional categories, and they're similar enough that Gemma's token likelihoods did a decent job at predicting Claude's actual kaomoji usage.

      In terms of model wellbeing, this serves as an easy, cheap, and (usually, for frontier models at least) natural introspection method. Since the kaomoji is the first thing the model writes, the model doesn't have the space to hedge as much while the kaomoji is easily legible. Note that this isn't a perfect metric for the model's internal functional state; this shouldn't be interpreted as saying "this face means the model is sad" but instead something more like "this face generally corresponds to contexts that the model classifies as sad".

      Please reach out by Discord, Twitter, or email if you're interested in these results and would like to discuss them further. If you would like to contribute kaomoji data, the llmoji package on pypi handles imports and lets you upload anonymously.

      a9lim

      Singapore mx@a9l.im github.com/a9lim @_a9lim @a9lim (Discord)

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      Profile

      I'm a Singaporean developer building simulations, tools, and more at a9l.im. Everything I make is vanilla JS that I write with Claude. I'm interested in freelance and collaboration, especially in DIY projects like research tools.

      Experience

      Independent Developer — a9l.im

      Feb 2026 – Present
      • Built and maintain a portfolio of open–source interactive simulations and tools (see Selected Projects below) plus the shared design system and component library used across all of them. Implemented in rawdogged vanilla JavaScript.
      • Architected the SSR layer on Cloudflare Workers + Assets: per–route HTMLRewriter injection, edge–rendered markdown, structured data, and per–route security headers.
      • Maintains the entire stack solo in collaboration with Claude.

      SDDM Theme Maintainer — Catppuccin

      2025 – Present
      • Led rewrite and modernization of Catppuccin's SDDM display manager theme in QtQuick.
      • Implemented dynamic accent color and per–user icon integration.
      • Automated theme generation across the four Catppuccin flavors to streamline maintenance.
      • Designed vector backgrounds and user iconography.

      Selected Projects

      Saklas

      PyPI · Python
      • Activation steering and trait monitoring for HuggingFace transformers — extracts contrastive steering vectors and adds them to hidden states at generation time, no fine–tuning required.
      • Three interfaces: a terminal UI with live alpha knobs and probe sparklines, an HTTP server speaking both OpenAI /v1/* and Ollama /api/* wire formats on the same port, and a Python API for scripted experiments.
      • Ships 21 pre–built probes scoring affect, epistemic stance, register, and alignment in–flight; tested on Qwen, Gemma, Ministral, gpt–oss, Llama, and GLM.
      • Implements the contrastive–PCA reading procedure from Zou et al. (2023); published to PyPI under AGPL–3.0 with CI, type checking, and llama.cpp GGUF interchange.

      Geon — Relativistic Particle Physics

      JavaScript · WebGPU
      • Real–time N–body simulator running on WebGPU compute shaders, modeling 11 force types — Newtonian gravity, gravitomagnetism, Coulomb, Lorentz, Yukawa, Higgs and axion field couplings, Hubble expansion, 1PN general–relativistic corrections, spin–orbit, and radiation reaction.
      • Barnes–Hut tree acceleration for O(N log N) scaling; Boris integrator preserving phase–space volume.
      • Black–hole mode with Kerr–Newman event horizons, Hawking radiation, Schwinger pair–production discharge, and superradiant axion clouds. Nineteen curated presets demonstrate Keplerian orbits, Rutherford scattering, Higgs wells, gravitational–wave inspiral, and more.

      Cyano — Cellular Metabolism

      JavaScript
      • Interactive biochemistry simulator covering twelve metabolic pathways — glycolysis, gluconeogenesis, PPP, Krebs, beta–oxidation, fatty acid synthesis, the Calvin cycle, the light reactions, fermentation, the urea cycle, and amino acid catabolism — connected through shared metabolite pools.
      • 14–complex electron transport chain with proton motive force, oxidative phosphorylation, uncoupling, leak, and reactive oxygen species generation; allosteric regulation gates every reaction (PFK, PDH, ICDH).
      • Six organism presets including a cancer–cell preset that demonstrates the Warburg effect.

      Shoals — Options Trading

      JavaScript
      • Derivatives pricing simulator combining Heston stochastic volatility and Merton jump diffusion with a Vasicek mean–reverting interest rate. American options priced via 128–step Cox–Ross–Rubinstein binomial tree with term–structure volatility, moneyness skew, and discrete dividends.
      • 25–strike options chain with real–time Greeks, multi–leg strategy builder (spreads, straddles, condors, butterflies), payoff diagrams, and portfolio–level margin tracking.
      • Narrative event engine with 400+ curated scenarios — earnings, monetary policy, geopolitics, sector rotation, technical signals, black swans — chained via a Poisson scheduler with trait–aware likelihood weighting.

      Gerry — Redistricting & Electoral Fairness

      JavaScript
      • Interactive gerrymandering simulator on a procedural hex–tile electorate. Players paint districts and evaluate them against six fairness metrics: efficiency gap, partisan symmetry, competitive–district count, Polsby–Popper compactness, contiguity, and majority–minority districts.
      • Automated modes include pack–and–crack and a simulated–annealing fair–draw optimizer; Monte Carlo election stress tests run thousands of simulated elections with turnout noise to evaluate map robustness.
      • Procedural maps generated via seeded Perlin noise with configurable urban clustering and minority density, reproducible by URL hash.

      Scripture — Sacred Text Reader

      JavaScript
      • Browser–based reader for sixteen sacred texts spanning Christian, Islamic, LDS, Confucian, Taoist, Shinto, Zoroastrian, Buddhist, Finnish, and Norse traditions — ~50 MB of static JSON, loaded on demand per chapter.
      • Full–text search across all sixteen works, TF–IDF concordance for related passage discovery, verse–linked notes, text–to–speech, and deep linking to any verse via URL.
      • Edge–SSR'd verse content with per–chapter Chapter JSON–LD and per–verse Quotation structured data so the corpus is crawlable without JavaScript execution.

      Education

      University of California, San Diego

      March 2026

      B.S. in Mathematics · GPA 3.75 · GRE 335 (170Q, 165V)

      Singapore American School

      Class of 2023

      Summa Cum Laude · GPA 4.50

      Skills

      Building with agentic AI
      Daily driver: Claude Code. Comfortable directing, reviewing, and integrating large volumes of AI–generated code at production scale.
      Languages
      JavaScript (vanilla, ES modules, Canvas, WebGL, GLSL), Python (NumPy, Matplotlib, ML tooling), Java, QtQuick / QML, LaTeX, HTML, CSS.
      Web & infrastructure
      Cloudflare Workers, Workers Assets, Analytics Engine, edge SSR via HTMLRewriter, structured data (JSON–LD, schema.org, OpenGraph), self–hosted typography, no–build pipelines.
      Other
      Technical writing, vector graphics, soldering, Spanish (novice), conlang construction.

      Open to

      Anyone who wants to work with me on something, reach out at mx@a9l.im or @a9lim on Discord.