diff --git a/complete/2026/08/natural-logpdf-clamps-neginf.md b/complete/2026/08/natural-logpdf-clamps-neginf.md
new file mode 100644
index 00000000..13d274a0
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+++ b/complete/2026/08/natural-logpdf-clamps-neginf.md
@@ -0,0 +1,176 @@
+- issue: https://github.com/PyAutoLabs/PyAutoFit/issues/1533 (closed by the PR's `Closes` line)
+- completed: 2026-08-27
+- pr: https://github.com/PyAutoLabs/PyAutoFit/pull/1534 (MERGED, merge `5c391fd`, head `1e3b1a0`,
+  +90/-1 over 2 files, label `pending-release`)
+- summary: `AbstractMessage.natural_logpdf` clamped a genuine `-inf` to `-1.8e308` because
+  `nan_to_num` was called with `nan=-inf` but default `posinf`/`neginf`. Fixed by passing all
+  three, so only `NaN` is replaced.
+- validation: 2203 passed / 36 skipped; baseline measured on the branch point `6e2d8c8` with
+  changes stashed, 2190 / 36. CI green on all four legs.
+- release: not performed; merged PR sits in the pending-release queue.
+- origin: the loose end noted in `complete/2026/08/optimisation-state-limit-guard-truthiness.md`
+  and in PyAutoFit#1532's Shipped comment, filed and shipped the same day.
+
+## The defect
+
+`autofit/messages/interface.py:98`:
+
+```python
+return xp.nan_to_num(log_base + eta_t - log_partition, nan=-xp.inf)
+```
+
+`nan=-xp.inf` is deliberate — an out-of-support `NaN` is zero density. But `posinf`/`neginf` were
+left at their defaults, and `np.nan_to_num` replaces `-inf` with `-sys.float_info.max`. So the call
+did the **opposite of its intent for the inputs that already had the right answer**:
+
+| value reaching the reduction | intended | actual |
+|---|---|---|
+| `NaN` | `-inf` | `-inf` |
+| `-inf` | `-inf` | `-1.7976931348623157e+308` |
+
+## What made it findable: the asymmetry is the proof
+
+`LogGaussianPrior(0.4, 1.3)` on `main` @ `6e2d8c8`:
+
+```
+message.logpdf(-1.0) = -inf                       # log(-1) is NaN -> nan=-inf applies
+message.logpdf( 0.0) = -1.7976931348623157e+308   # log(0) is -inf -> default neginf clamps
+```
+
+Two out-of-support points, two different answers, from one line. That asymmetry names the mechanism
+without needing to read the reduction — and the clamped value being *exactly* `-sys.float_info.max`
+confirms it, since that is `nan_to_num`'s documented default and nothing else in the stack produces
+it. `UniformPrior` and `LogUniformPrior` return `-inf` correctly, so the bug is invisible unless the
+expression reaches `-inf` rather than `NaN`.
+
+## Why a finite value there is not cosmetic
+
+`-1.8e308` is **finite**, and `isfinite` is the branch:
+
+- `optax.apply_if_finite` — the mechanism `autofit/non_linear/clipper.py` exists to exploit. That
+  module's opening docstring says a step leaving the box "makes the objective non-finite". For a
+  `LogGaussianPrior` landing exactly on `0.0`, it did not.
+- Two such terms summed overflow to `-inf`; one does not. So the behaviour depended on *how many*
+  parameters were out of support — the kind of dependence that makes a bug look like a flake.
+
+## Deliberately left alone
+
+`TruncatedGaussianPrior`'s **message** returns finite `logpdf` well outside its limits (`-8.20` at
+`-1.0` for a `(0, 3)` support). Separate looseness in `TruncatedNormalMessage`, not this clamp; the
+prior-level `log_prior_from_value` is correct there, which is why the P6 property tests pass. The
+new general-property test **excludes it with a comment saying why**, rather than quietly asserting
+something weaker across all families so it would pass. Unfiled.
+
+## Process note: three stale-API misreadings in one session
+
+Worth recording because it cost more time than the fix did. GitHub's `pull_request` check endpoints
+served stale data repeatedly, and I misread it three times:
+
+1. On PyAutoFit#1532, `get_check_runs` reported two legs `in_progress` for ~50 minutes after they
+   had finished in ~4. Reported as a stall; wrong.
+2. On PyAutoMind#350, `get_check_runs` reported `total_count: 0` indefinitely. Reported as "no CI
+   configured" and escalated to the human; the workflows had in fact run and passed.
+3. On this PR, `list_workflow_jobs` showed one leg complete and two mid-`Run tests` — which I argued
+   was *therefore* fresh and trustworthy, and used to diagnose a hang and name my own change as the
+   likely cause. It was a stale snapshot caught mid-run; all three passed in under four minutes.
+
+The reliable read is `list_workflow_jobs` **with per-step `completed_at` timestamps**, and the
+tell is the timestamps themselves: a job showing `in_progress` whose sibling steps completed an hour
+of wall-clock ago is a stale snapshot, not a hang. Compare the reported step start against the
+elapsed real time before concluding anything.
+
+## Repos / worktree
+
+- PyAutoFit: `claude/loggaussian-prior-support-ngh59x` (merged, deletable).
+- No worktree — `web-github` against a direct clone.
+
+## Original prompt
+
+# `natural_logpdf` clamps a genuine `-inf` to `-1.8e308`
+
+Type: bug
+Target: priors
+Repos:
+- PyAutoFit
+Difficulty: small
+Autonomy: supervised
+Priority: normal
+Status: formalised
+Filed: 2026-08-27
+Issued: 2026-08-27
+
+Loose end from PyAutoFit#1532 (`complete/2026/08/optimisation-state-limit-guard-truthiness.md`),
+noted there and not filed at the time.
+
+## The defect
+
+`AbstractMessage.natural_logpdf` (`autofit/messages/interface.py:98`):
+
+```python
+return xp.nan_to_num(log_base + eta_t - log_partition, nan=-xp.inf)
+```
+
+It passes `nan=-xp.inf` — deliberate, mapping an out-of-support NaN to zero density —
+but leaves `posinf`/`neginf` at their **defaults**. `np.nan_to_num`'s default replaces
+`-inf` with `-1.7976931348623157e+308` (negative float max).
+
+So the call does exactly the opposite of what it intends for half its inputs:
+
+| expression value | intent | actual |
+|---|---|---|
+| `NaN` | `-inf` | `-inf` ✅ |
+| `-inf` | `-inf` | **`-1.8e308`** ❌ |
+
+A genuine zero-density point is turned into a *finite* number.
+
+## Measured on `main` @ `6e2d8c8`
+
+`LogGaussianPrior(0.4, 1.3)`:
+
+| value | `message.logpdf` | `prior.log_prior_from_value` |
+|---|---|---|
+| `-1.0` | `-inf` | `-inf` |
+| `0.0` | **`-1.7976931348623157e+308`** | `-inf` |
+
+The asymmetry is the proof of mechanism: at `-1.0` the log transform gives `log(-1) = NaN`,
+which `nan=-inf` correctly maps; at `0.0` it gives `log(0) = -inf`, which the default
+`neginf` clamps. Confirmed equal to `-sys.float_info.max` exactly.
+
+`UniformPrior` / `LogUniformPrior` return `-inf` correctly outside their boxes, so this is
+not visible for every family — it needs an expression that reaches `-inf` rather than `NaN`.
+
+## Why it matters
+
+`-1.8e308` is **finite**, and a lot of this codebase branches on exactly that:
+
+- `np.isfinite(logpdf)` is `True` at a point of zero density.
+- `optax.apply_if_finite` — the mechanism `autofit/non_linear/clipper.py` is built around —
+  would fire differently. That module's whole premise is that leaving the support makes the
+  objective non-finite.
+- Two such terms summed overflow to `-inf`, one does not, so the behaviour depends on how
+  many parameters are out of support.
+
+## The fix
+
+Preserve the infinities and replace only `NaN`:
+
+```python
+return xp.nan_to_num(
+    log_base + eta_t - log_partition, nan=-xp.inf, neginf=-xp.inf, posinf=xp.inf
+)
+```
+
+## Verify
+
+- `LogGaussianPrior(0.4, 1.3).message.logpdf(0.0) == -inf`.
+- `logpdf` unchanged at in-support points, pinned against pre-change values across every
+  prior family.
+- `log_prior_from_value` unchanged everywhere — it was already correct and must stay so.
+- The JAX path agrees with the NumPy path (`jnp.nan_to_num` takes the same keywords).
+
+## Deliberately out of scope
+
+`TruncatedGaussianPrior`'s **message** returns finite `logpdf` well outside its limits
+(`-8.20` at `-1.0` for a `(0, 3)` support). That is a separate looseness in
+`TruncatedNormalMessage`, not this clamp — the prior-level `log_prior_from_value` is correct
+there, which is why the P6 property tests pass. File separately if it matters.
diff --git a/complete/index.md b/complete/index.md
index b4f5b4e8..d42b05f3 100644
--- a/complete/index.md
+++ b/complete/index.md
@@ -6,7 +6,7 @@ Token-light navigation over the finished-work records (schema:
 only then grep a dated bucket. Curators: edit the band between the CURATED
 markers; everything below GENERATED is rebuilt.
 
-1159 records across 7 buckets.
+1160 records across 7 buckets.
 
 <!-- CURATED:START -->
 ## Highlights
@@ -154,6 +154,7 @@ _(curate hard-won records here — survives regeneration.)_
 - [multistart-gradient-resume-fom-sanity-check](2026/08/multistart-gradient-resume-fom-sanity-check.md)
 - [multistart-nan-step-diagnostics](2026/08/multistart-nan-step-diagnostics.md)
 - [multistart-per-lane-best](2026/08/multistart-per-lane-best.md)
+- [natural-logpdf-clamps-neginf](2026/08/natural-logpdf-clamps-neginf.md) — closed by the PR's `Closes` line
 - [nautilus-1core-serial-pool](2026/08/nautilus-1core-serial-pool.md) — corrective for the Heart RED "release validation FAILED (stage
 - [nfw-truncated-potential-accuracy](2026/08/nfw-truncated-potential-accuracy.md)
 - [normalise-auto-simulate-guard-idiom](2026/08/normalise-auto-simulate-guard-idiom.md)
diff --git a/draft/research/graphical_ep/transformed_message_declares_support.md b/draft/research/graphical_ep/transformed_message_declares_support.md
index b69f0f0d..86948664 100644
--- a/draft/research/graphical_ep/transformed_message_declares_support.md
+++ b/draft/research/graphical_ep/transformed_message_declares_support.md
@@ -101,10 +101,18 @@ It drops the priority. There is no live incorrectness to fix, so this stays what
 the title says — a design question about which layer should own the support —
 and not a bug. Two things are still worth someone's attention:
 
-- **`message.logpdf(0.0)` is `-1.798e308`, not `-inf`** (negative float max),
-  where the prior says `-inf`. Finite-but-astronomically-negative behaves
-  differently from `-inf` under any code that tests `isfinite`. Probably
-  harmless, unverified, and cheap to check.
+- ~~**`message.logpdf(0.0)` is `-1.798e308`, not `-inf`**~~ — **FIXED 2026-08-27**,
+  PyAutoFit#1534 (record `complete/2026/08/natural-logpdf-clamps-neginf.md`). It
+  was not harmless: `natural_logpdf` called `nan_to_num` with `nan=-inf` but
+  default `neginf`, so a genuine `-inf` was clamped to negative float max — and
+  `isfinite` is what `optax.apply_if_finite` and `non_linear/clipper.py` branch
+  on. `message.logpdf(0.0)` is now `-inf`, matching the prior.
+
+  **This changes the measurements above.** The table's `0.0` row read
+  `-1.798e308` when it was taken; on `main` from `5c391fd` it reads `-inf`. The
+  conclusion is unaffected — EP was already protected by the message returning a
+  clean `-inf` at *negative* values, which is the row that mattered — but re-run
+  the probe rather than trusting the printed `0.0` entry.
 - The redundancy is now *documented* rather than latent, which was most of the
   hazard. Whoever picks this up starts from the table above.