fix(api): a non-finite number in a JSON body is refused with a 422, not a 500

The JSON parser under FastAPI accepts `Infinity`/`NaN`, and both progress checkpoints truncate the
position with `int()` — a hand-written checkpoint came back as a 500 with a traceback. Their bodies
now refuse non-finite floats, and the app's validation handler — FastAPI's own shape — echoes a
non-finite input by name: the default one failed to serialise its own error (JSON has no NaN), which
was a 500 by another route. Sibling of the subtitle routes' non-finite query parameters.

backend/app/main.py

@@ -1,10 +1,13 @@
 import asyncio
 import logging
+import math
 import sys
 from contextlib import asynccontextmanager, suppress
 from pathlib import Path
 
-from fastapi import FastAPI, HTTPException
+from fastapi import FastAPI, HTTPException, Request
+from fastapi.encoders import jsonable_encoder
+from fastapi.exceptions import RequestValidationError
 
 # When started via uvicorn --log-config the "siftlode" logger is already configured
 # (see log_config.json). This block is a timestamped fallback for other entrypoints
@@ -112,6 +115,19 @@ async def _sweep_hls_orphans() -> None:
 
 app = FastAPI(title=settings.app_name, lifespan=lifespan)
 
+
+@app.exception_handler(RequestValidationError)
+async def _validation_error(request: Request, exc: RequestValidationError) -> JSONResponse:
+    """FastAPI's own 422, in its own shape — except that it can be ENCODED. The JSON parser accepts
+    `NaN`/`Infinity`, a float field refuses them, and the refusal echoes the value back: the default
+    handler then failed to serialise its own error (JSON has no NaN) and the request became a 500
+    with a traceback. A non-finite value is echoed as its name instead."""
+    finite = {float: lambda x: x if math.isfinite(x) else str(x)}
+    return JSONResponse(
+        status_code=422, content={"detail": jsonable_encoder(exc.errors(), custom_encoder=finite)}
+    )
+
+
 app.add_middleware(
     SessionMiddleware,
     secret_key=settings.secret_key,

backend/app/routes/feed.py

@@ -1,7 +1,7 @@
 from datetime import date, datetime, timezone
 
 from fastapi import APIRouter, Depends, HTTPException, Query
-from pydantic import BaseModel
+from pydantic import BaseModel, ConfigDict
 from sqlalchemy import and_, func, or_, select
 from sqlalchemy.dialects.postgresql import insert as pg_insert
 from sqlalchemy.orm import Session
@@ -303,6 +303,10 @@ def clear_video_state(
 
 
 class VideoProgressIn(BaseModel):
+    # Finite only: JSON parsing here accepts `Infinity`/`NaN`, and the handler's `int()` turned
+    # one into a 500.
+    model_config = ConfigDict(allow_inf_nan=False)
+
     # Accept a float and truncate (below) — the player may post a raw currentTime (a float), which
     # the old `int(payload.get(...))` silently truncated. A plain `int` field would 422 that on the
     # 10s progress hot path, losing the resume position; `float` keeps the old tolerance.

backend/tests/test_progress_bounds.py

@@ -0,0 +1,34 @@
+"""A progress checkpoint takes a FINITE position.
+
+The JSON parser under FastAPI accepts `Infinity` and `NaN`, and both progress handlers truncate the
+position with `int()` — so one hand-written checkpoint came back as a 500 with a traceback. Found in
+the 2026-09 bug hunt's second review round, as the sibling of the subtitle routes' non-finite
+`at`/`offset`. Pure: the body is refused before the handler touches the database.
+"""
+
+from types import SimpleNamespace
+
+import pytest
+from fastapi.testclient import TestClient
+
+import app.state as app_state
+from app.auth import current_user
+from app.main import app
+
+
+@pytest.fixture
+def client(monkeypatch, override_dep) -> TestClient:
+    override_dep(current_user, lambda: SimpleNamespace(id=1))
+    monkeypatch.setattr(app_state, "_configured_cache", True)  # pass the instance-setup gate, no DB
+    return TestClient(app)
+
+
+@pytest.mark.parametrize("path", ["/api/videos/v1/progress", "/api/plex/item/98614/progress"])
+@pytest.mark.parametrize("raw", ["Infinity", "-Infinity", "NaN"])
+def test_a_non_finite_position_is_refused(client, path, raw):
+    r = client.post(
+        path,
+        content=f'{{"position_seconds": {raw}, "duration_seconds": 3000}}',
+        headers={"content-type": "application/json"},
+    )
+    assert r.status_code == 422, r.text