# Beginner's Map

> "I've just discovered paper."

This is the first drawing. It will be wrong. That is the point.

---

## The One Axiom

Every point is its own origin. There is no center.

## What Is [REVIEWED - Proven (Lean, `lake build` 3449/3449) - requires Lean theorem verification evidence per AGENTS.md v2.1]

| Thing | File | Status |
|-------|------|--------|
| Fixed-point arithmetic | `FixedPoint.lean` | [REVIEWED - proven - requires Lean theorem verification evidence] |
| bind primitive | `Bind.lean` | [REVIEWED - proven - requires Lean theorem verification evidence] |
| Coordinate chart (own origin) | `GeometricTopology.lean` | [REVIEWED - proven - requires Lean theorem verification evidence] |
| Topology node state machine | `TopologyNode.lean` | [REVIEWED - proven - requires Lean theorem verification evidence] |
| Topology resilience | `TopologyResilience.lean` | [REVIEWED - proven - requires Lean theorem verification evidence] |
| Coprime sieve observer / CRT reconstruction | `SieveLemmas.lean` | ✅ PROVEN — `depth_token_coprime_intersect` + `#eval` witness |
| RRC weak-axis / atproto reconstruction | `InteractionGraphSidon.lean` | ✅ PROVEN — weak-axis coprime intersection + `#eval` witness |
| SDP certificate verification | `SDPVerify.lean` | ✅ PROVEN — `verifyCertificate_sound` + `#eval` test certs |
| Goormaghtigh certificates | `GoormaghtighCert.lean` | ✅ Pipeline validated; full certificate pending SDP computation |

## What Is Being Explored

| Thing | File | Status |
|-------|------|--------|
| Many-worlds addressing | `ManyWorldsAddress.lean` | eval witnesses pass |
| Cross-shell communication | `CrossDimensionalFilter.lean` | eval witnesses pass, one `sorry` |
| NSM semantic primes | research phase | no code yet |

## What Is Unknown

- Full APN (Any-Planck-to-NaN) addressing
- Hardware extraction to FPGA
- Cross-node topology runtime beyond local simulation
- Semantic prime load geometry
- Whether any of this survives contact with reality

---

## The Only Checkpoint

```bash
cd 0-Core-Formalism/lean/Semantics && lake build
```

If this passes, the map is not on fire.