Library

Specifications, case studies, and essays from TopicSpace Research. Research artifacts at the top; writing below.

research
specification
The Belief Stack

The maintained-state layer for agent harnesses. Architectural pattern with five layers and two peer query surfaces. Empirical-status section now carries the v0.2.2, v0.3, v0.4a, and v0.4c1 results.

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case study — locked, run-complete
Belief Stack v0.4c1 — cross-model replication

Across four LLMs from three providers, sparse maintained-state projections reached 99.0% planning correctness at 241 mean input tokens, vs 89.3% at 2,502 for raw history. The thesis survived a third pre-registered challenge; compression-vs-substrate isolation narrowed to model-dependent.

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pre-registration — locked
Belief Stack v0.4c1 — pre-registration

The locked pre-registration for the cross-model replication. Four models, four arms, per-model and cross-model outcome classifiers, locked action commitments. Amended to v0.4c1.1 for two provider-specific behaviors surfaced during build-time API verification — both before any data flowed.

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case study — locked, run-complete
Belief Stack v0.3 — planning-side experiment

A 285-token belief overlay (14% of the raw-log baseline) reached 98.7% planning correctness vs 90.7% for the strong-baseline raw-context arm, at 3.2× lower latency. The smallest arm won. Maintained state is a planning primitive.

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pre-registration — locked
Belief Stack v0.3 — pre-registration

The locked pre-registration for the v0.3 planning-side experiment. Three arms, bounded claim, fair-comparison constraint, anti-curation discipline. Locked 2026-06-03 before any data flowed.

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case study
Watching an Assistant Forget

TKOS Log-Replay v1 — preregistered offline audit of 164 Claude session logs, 20,190 evaluation turns, with TP/FP/FN/TN accounting. The empirical substrate behind Operational Belief-State Grounding v0.1, v0.2.2, and v0.3.

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case study
Reading the TopicSpace Belief Field

Sensemaking v1.5 — the Belief Stack pattern applied to financial-market narrative pressure across 31 actors and 173 days. Near-chance aggregate calibration with measurable regional heterogeneity.

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latest
Essay

most agent harnesses maintain execution state. Belief Stack maintains belief state.

Most agent state systems track what the system has done. Belief Stack tracks what the system currently holds to be true — and that distinction turns out to be operationally meaningful.

The model should not have to infer the current state of the world from a pile of history every time it plans. Modern agent harnesses already maintain state — LangGraph, workflow engines, task orchestrators, memory systems all have it. Almost all of them maintain execution state: current task, current step, tools executed. Belief Stack maintains belief state: what the system currently holds to be true, with provenance, lifecycle, and a contradiction signal. v0.3 measured the cost of reconstructing belief from raw evidence every step — a 285-token maintained overlay beat a 2,037-token raw log on accuracy (98.7% vs 90.7%), latency (1.11s vs 3.55s), and cost. Maintained state is a planning primitive. Not memory. Not retrieval. Not observability.

June 20268 min read
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archive
Essay
from token shortage to belief observability

An AI podcast about token economics, a small TKOS demo, a v0.2.2 experiment, and a clearer direction for TopicSpace — all in one day.

Today started with The AI Daily Brief on token economics and ended with belief observability as the category we work in. Two CLI commands against one SQLite substrate proved the dual-consumer claim at the fixture level (tkos state for humans, tkos overlay for models). v0.2.2 on 75 workflow-state questions showed the smallest overlay performed best: A=10.7%, B100=5.3%, B250=5.3%, B500=8.0%. The AI-facing surface is an attention compressor, not a database dump. Models need compact state. Humans need inspectable traces. Same substrate, different surfaces, different budgets.

June 20265 min read
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Essay
the recent log is not the same as state

Long-running assistants can get workflow state wrong even when they have the recent messages. A small experiment in helping LLMs remember what is still true.

A recent log shows what happened. It does not necessarily tell the model what is still true. In a paired comparison over 73 Claude assistant-session questions, adding an operational belief overlay — active beliefs like validation_pending, fix_attempted, action_blocked — cut workflow-state errors from 11.0% to 5.5%. The largest single-metric move was on false-completion claims: 27% under raw log alone, 7% with the overlay. Long-running assistants need a maintained representation of what they currently believe is still true.

June 20266 min read
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Essay
the hidden state problem in coding assistants

Long-running coding assistants don't only need better memory. They need maintained operational state — what is running, what failed, what was fixed, what still needs validation, and what the user has actually approved right now.

Coding assistants don't just make mistakes because they misunderstand code. They make mistakes because they lose track of what is currently true in the workflow. The deploy-approval bug is a clean example: the same user signal that grants approval also triggers the deploy, so the "approval is still required" belief gets retired by the very signal the deploy is responding to. The failure isn't in the model — it's in the lifecycle. Measured across 164 Claude sessions and 20,190 evaluation turns.

May 20267 min read
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Essay
the LLM that forgot time

An anatomy of runtime epistemic failure. A small clock glitch from a real conversation, dissected as a complete sweep of the architectural gaps we don't yet have.

An AI that wishes you goodnight at 9:40 AM isn't hallucinating — it's failing across the whole belief-lifecycle stack at once. A prior was born under strong warrant; the warrant aged but never expired; fresh contradicting evidence arrived but no arbitration ran; an intervention deployed against the obsolete state. Every layer of runtime epistemic infrastructure was relevant. Every one was missing.

May 20266 min read
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Essay
earned governance for runtime LLM intervention

Why runtime governance should be empirically certified before deployment. A working architecture refuses to deploy one of its own governance interventions when the measured behavioral delta against baseline isn't large enough to justify the cost.

Most runtime LLM governance is declared, not earned: an instruction is written, then shipped to 100% of traffic without measuring whether it changes anything. An earned-governance gate runs A/B against the un-intervened baseline and refuses deployment when the delta is too small. The system rejected one of its own plausible interventions today — that rejection is the architectural contribution.

May 20269 min read
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Essay
from static mimicry to active epistemology

A Temporal Knowledge Operating System for LLMs. The core limitation of large language models is not parameter count or context length — it is epistemological. To move beyond static mimicry we need a programmatic, self-correcting state layer between raw input streams and inference: one that manages how beliefs evolve under uncertainty.

Hallucination is a calibration failure, not a generation failure. A TKOS lets the LLM consult its own reliability map mid-inference (<50ms via an MCP tool) and either express calibrated doubt or fall back honestly when the query is uncalibrated. The substrate exists today as a batch pipeline; the consultation interface is the engineering path that remains.

May 202610 min read
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Essay
a pattern for problems where beliefs must evolve

Messy events → hidden structure → uncertain expectations → changing beliefs → feedback from reality. The same five-layer stack keeps showing up across markets and AI governance. An attempt to name the pattern, say where it fits, and say where it doesn't.

Repeatable events + meaningful patterns + measurable outcomes + enough history → the stack pays for itself. One-off decisions, low-sample work, pure taste, no-feedback domains → it doesn't. The shape holds across domains; only the parameter surfaces (action vocab, risk classes) change.

May 20268 min read
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Research note
region-based evaluation & guardrail calibration

Most AI evaluation collapses behavior into a single pass/fail score. A more useful question is where a model is reliable, where it's unstable, where risk priors are wrong, and where guardrails will over-fire or under-fire. A first attempt at region-based calibration on real conversation logs.

Aggregate behavior prediction did not beat baseline (−2.8pp). The value is regional. Some regions calibrate cleanly (88% top-1); others miss badly (12%). Six (region × risk) cells diverge by ≥20pp between prior and actual — guardrail-mis-fire candidates the architecture surfaces before the guardrail ships.

May 20269 min read
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Essay
from information streams to stacked fields

The core idea behind topicspace is to treat a changing information environment not as a feed, but as a field. Once that representation exists, additional fields can be derived from it — each capturing a different layer of understanding.

A stream tells you what arrived. A field tells you where structure exists. An expectation field tells you what that structure implies. A revision field tells you how implications change. A performance field tells you which deserve trust. Each layer adds a class of question the one below cannot answer.

May 20268 min read
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Research note
expectation-field replay

The original idea was not to generate more questions. It was to maintain continuity of understanding in a changing field. The expectation-field replay is the first version of that idea that actually feels like the original concept.

Broad expectations are durable. Narrow ones are mostly noise. Weakening precedes death by two to three trading weeks. The patterns held across two families and two starting dates.

May 20267 min read
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Research note
five model-implied expectations for the next 30 days

Not stock picks. Not recommendations. Five forward tests of what the current topicspace field model implies should happen next, each tied to a specific pattern in the data and stated in a way that can be falsified.

A model that never risks being wrong isn't doing much. The most useful research isn't the kind that sounds confident — it's the kind that can be checked.

May 20266 min read
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Research note
the hardware-software gap

Across 5+ months of backtest data, topicspace measures a +4.92pp gap in 10-day forward excess returns between AI hardware names and AI software/platform names — with three counterintuitive sub-findings.

Hardware +3.29pp, software −1.63pp, gap +4.92pp (Welch t=13.5). Software CONFIRMED is the worst software setup. CRWV behaves like hardware. The AI-celebrity hardware names are the cluster's laggards.

May 20267 min read
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Essay
introducing topicspace intel

A new layer that turns a claim, basket, or ticker question into a grounded brief built from topicspace fields. Not a chatbot, not a recommendation engine — a layer for interrogating the field.

A dashboard shows what's happening. intel helps answer a harder question: what does that actually mean here?

May 20268 min read
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Essay
Why topicspace didn’t trust Meta

Strong narrative-price gap is not the same as a credible setup. Meta is the cleanest example of why the validity layer matters — and why hesitation can be the insight.

A strong raw signal gets your attention. Validity tells you whether to trust it. Transitions tell you what happened next.

May 20266 min read
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Research note
Backtesting topicspace: what worked, what didn't

We tested whether narrative-price state could improve stock selection in the AI ecosystem. Raw dislocation was the ranking core. State and sector context made the signal investable.

S4 Sharpe 2.10. Cap S4+B4 Sharpe 2.44. ML ranking failed at this sample size. Pure NDS ranking inside the eligibility layer remains the rule.

May 20269 min read
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Essay
topicspace is becoming more focused

After backtesting the model, topicspace is becoming more specific: where narrative pressure is strongest, where that signal is actually valid, and how to turn it into a disciplined workflow.

April 20265 min read
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Research note
Modeling narrative and price

How topicspace measures the gap between what analysts are saying and what the market is pricing — and what that gap has historically meant.

Narrative-leading states outperformed price-led states. Transitions carried more signal than static presence.

April 202618 min read
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Method note
Context before chunks

Why narrative intelligence requires field-level state modeling rather than document retrieval — and how topicspace is built around that distinction.

March 202610 min read
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how topicspace works
01Rank the gap

Show where the story is stronger than the stock move — or where the stock has already moved ahead of the story. The bigger the gap, the more it’s worth a closer look.

02Filter for what tends to work

Not every kind of gap matters the same way. topicspace surfaces the situations that have shown more reliable follow-through in similar contexts.

03See what changed

Alerts, state transitions, and the daily field read focus attention on what actually moved — not just what’s loud.

04Ask what the field supports

intel lets you check a claim, compare a basket, or explain a ticker using the same structured context that powers the rest of topicspace.

on the site
Board
Live narrative-price state across the ecosystem
Alerts
Active state changes and priority setups
Structures
Narrative lineages and cross-actor clusters
Briefing
Daily synthesis and system-level read

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Occasional updates on Belief Stack, TopicSpace case studies, and runtime belief-state evaluation.

I'll send notes when there's a new spec, case study, methodology update, or major finding — not a weekly newsletter for the sake of it.

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