diff --git a/apps/server/src/pay-station.ts b/apps/server/src/pay-station.ts
new file mode 100644
index 0000000..6b399c8
--- /dev/null
+++ b/apps/server/src/pay-station.ts
@@ -0,0 +1,140 @@
+import { desc, eq, ledgerEvents, sessions, tariffVersions, tariffs, type Db } from "@parking/db";
+import { computeFee, type TariffStructure, type Tender } from "@parking/shared";
+import type { FastifyBaseLogger } from "fastify";
+import type { EventLog } from "./event-log.js";
+
+// The PAY STATION: a customer pays for an open session BEFORE walking back to the
+// car (pay-on-foot — payment is decoupled from exit). Two steps:
+//   1. quote(identity)  → look up the open session, price it against the tariff in
+//      force at entry, return the amount due (no side effect).
+//   2. pay(identity, tender) → re-price, append a SIGNED `payment` event carrying
+//      the amount, currency, tender, tariffVersionId, and graceExitMin (so the exit
+//      flow can validate paid + within walk-back grace). Payment is a signed ledger
+//      event, never a mutable "paid" flag — an operator can't forge or delete it.
+// See wiki/concepts/tariff.md, parking-session.md.
+
+export class NoOpenSessionError extends Error {
+  constructor(identity: string) {
+    super(`no open session for ${identity}`);
+    this.name = "NoOpenSessionError";
+  }
+}
+export class NoTariffError extends Error {
+  constructor() {
+    super("no active tariff configured");
+    this.name = "NoTariffError";
+  }
+}
+
+export interface Quote {
+  readonly identity: string;
+  readonly enteredAt: string;
+  readonly amountMinor: number;
+  readonly currency: string;
+  readonly tariffVersionId: string;
+  readonly graceExitMin: number;
+}
+
+export class PayStation {
+  readonly #db: Db;
+  readonly #log: EventLog;
+  readonly #logger: FastifyBaseLogger;
+
+  constructor(db: Db, log: EventLog, logger: FastifyBaseLogger) {
+    this.#db = db;
+    this.#log = log;
+    this.#logger = logger;
+  }
+
+  /** Price an open session against the tariff in force at its entry. No side effect. */
+  quote(identity: string): Quote {
+    const entry = this.#openEntry(identity);
+    if (!entry) throw new NoOpenSessionError(identity);
+
+    const tv = this.#tariffVersionFor(entry.occurredAt);
+    if (!tv) throw new NoTariffError();
+    const structure = tv.structure as unknown as TariffStructure;
+
+    const amountMinor = computeFee(entry.occurredAt, new Date().toISOString(), structure);
+    return {
+      identity,
+      enteredAt: entry.occurredAt,
+      amountMinor,
+      currency: tv.currency,
+      tariffVersionId: tv.id,
+      graceExitMin: structure.gracePeriodExitMin,
+    };
+  }
+
+  /**
+   * Take payment for a session and append the signed `payment` event. Re-quotes at
+   * the moment of payment (the customer pays for time parked SO FAR). For an
+   * overstay top-up the same call re-prices entry→now and the exit flow's
+   * grace-window restarts from this payment. `overrideMinor` lets the operator set
+   * an arbitrary amount (lost ticket / dispute) — recorded as the charged amount.
+   */
+  async pay(
+    identity: string,
+    tender: Tender,
+    overrideMinor?: number,
+  ): Promise<{ amountMinor: number; currency: string }> {
+    const q = this.quote(identity);
+    const amountMinor = overrideMinor ?? q.amountMinor;
+
+    await this.#log.append({
+      type: "payment",
+      lane: -1, // payment happens at a central station, not a lane
+      source: "manual",
+      identity,
+      payload: {
+        sessionRef: identity,
+        amountMinor,
+        currency: q.currency,
+        tender,
+        tariffVersionId: q.tariffVersionId,
+        // The exit flow reads graceExitMin off the payment to validate the
+        // walk-back window without re-resolving the tariff.
+        graceExitMin: q.graceExitMin,
+        ...(overrideMinor != null ? { reason: "operator-set amount", quotedMinor: q.amountMinor } : {}),
+      },
+    });
+
+    // Update the projection cache (rebuildable; not the source of truth).
+    try {
+      this.#db.update(sessions).set({ state: "paid" }).where(eq(sessions.id, identity)).run();
+    } catch (err) {
+      this.#logger.error(`session-cache mark-paid failed for ${identity}: ${(err as Error).message}`);
+    }
+
+    this.#logger.info(`payment ${amountMinor} ${q.currency} (${tender}) for ${identity}`);
+    return { amountMinor, currency: q.currency };
+  }
+
+  /** The vehicle_entry of an OPEN session for this identity (no later exit), or null. */
+  #openEntry(identity: string) {
+    const rows = this.#db
+      .select()
+      .from(ledgerEvents)
+      .where(eq(ledgerEvents.identity, identity))
+      .orderBy(ledgerEvents.index)
+      .all();
+    const entry = rows.find((r) => r.type === "vehicle_entry");
+    if (!entry) return null;
+    if (rows.some((r) => r.type === "vehicle_exit")) return null; // already closed
+    return entry;
+  }
+
+  /** The tariff version in force at `at` — latest effectiveFrom ≤ at, for the
+   *  (single, for now) active site tariff. */
+  #tariffVersionFor(at: string) {
+    const tariff = this.#db.select().from(tariffs).where(eq(tariffs.scope, "site")).get();
+    if (!tariff) return null;
+    const versions = this.#db
+      .select()
+      .from(tariffVersions)
+      .where(eq(tariffVersions.tariffId, tariff.id))
+      .orderBy(desc(tariffVersions.effectiveFrom))
+      .all();
+    return versions.find((v) => v.effectiveFrom <= at) ?? null;
+  }
+}
diff --git a/apps/server/src/routes/pay.ts b/apps/server/src/routes/pay.ts
new file mode 100644
index 0000000..37f25d4
--- /dev/null
+++ b/apps/server/src/routes/pay.ts
@@ -0,0 +1,69 @@
+import type { FastifyInstance } from "fastify";
+import { requireRole } from "../auth.js";
+import {
+  NoOpenSessionError,
+  NoTariffError,
+  type PayStation,
+} from "../pay-station.js";
+
+// Pay-station endpoints (pay-on-foot). The terminal/operator UI quotes a session
+// then takes payment; the payment becomes a signed ledger event. PCI scope stays
+// OUT of the app — actual card capture is a standalone P2PE terminal; here `tender`
+// just records cash vs. card. See wiki/concepts/tariff.md, parking-session.md, bom.md.
+
+interface QuoteQuery {
+  identity: string;
+}
+interface PayBody {
+  identity: string;
+  tender: "cash" | "card";
+  /** Operator-set amount (lost ticket / dispute) — overrides the computed fee. */
+  overrideMinor?: number;
+}
+
+export async function payRoutes(app: FastifyInstance, payStation: PayStation): Promise<void> {
+  // Cashier/operator/admin operate the pay station; readonly may not.
+  const guard = requireRole("admin", "operator", "cashier");
+
+  // Quote: what does this session owe right now? (No side effect.)
+  app.get<{ Querystring: QuoteQuery }>(
+    "/api/pay/quote",
+    { preHandler: guard },
+    async (req, reply) => {
+      const identity = (req.query.identity ?? "").trim();
+      if (!identity) return reply.code(400).send({ error: "identity required" });
+      try {
+        return payStation.quote(identity);
+      } catch (err) {
+        return mapError(reply, err);
+      }
+    },
+  );
+
+  // Pay: take payment and append the signed `payment` event.
+  app.post<{ Body: PayBody }>(
+    "/api/pay",
+    { preHandler: guard },
+    async (req, reply) => {
+      const { identity, tender, overrideMinor } = req.body ?? {};
+      if (!identity || (tender !== "cash" && tender !== "card")) {
+        return reply.code(400).send({ error: "identity and tender (cash|card) required" });
+      }
+      if (overrideMinor != null && (!Number.isInteger(overrideMinor) || overrideMinor < 0)) {
+        return reply.code(400).send({ error: "overrideMinor must be a non-negative integer (minor units)" });
+      }
+      try {
+        const res = await payStation.pay(identity, tender, overrideMinor);
+        return reply.code(201).send(res);
+      } catch (err) {
+        return mapError(reply, err);
+      }
+    },
+  );
+}
+
+function mapError(reply: import("fastify").FastifyReply, err: unknown) {
+  if (err instanceof NoOpenSessionError) return reply.code(404).send({ error: err.message });
+  if (err instanceof NoTariffError) return reply.code(409).send({ error: err.message });
+  return reply.code(500).send({ error: (err as Error).message });
+}
diff --git a/packages/shared/src/index.ts b/packages/shared/src/index.ts
index 6206731..fcde7e6 100644
--- a/packages/shared/src/index.ts
+++ b/packages/shared/src/index.ts
@@ -113,6 +113,60 @@ export interface TariffBlock {
   readonly priceMinorPerIncrement: number;
 }
 
+/**
+ * Compute the parking fee (integer minor units) for a stay, from a TariffStructure.
+ * PURE + deterministic + offline — the pay station calls it with asOf = now; the
+ * result is fixed into a signed `payment` event, so it must be reproducible.
+ *
+ * Algorithm (wiki/concepts/tariff.md): round duration UP to incrementMin; free if
+ * within entry grace; else walk the stay one rolling-24h segment at a time, charging
+ * each increment at its block's rate (blocks consumed in order by cumulative minutes),
+ * capping each segment at dailyCapMinor. Times are ISO-8601; bad input → 0 (caller
+ * validates the tariff exists first).
+ */
+export function computeFee(
+  enteredAt: string,
+  asOf: string,
+  tariff: TariffStructure,
+): number {
+  const ms = Date.parse(asOf) - Date.parse(enteredAt);
+  if (!Number.isFinite(ms) || ms <= 0) return 0;
+  const rawMinutes = ms / 60_000;
+  // Grace uses the RAW duration (a 10-min stay is free even if the increment is
+  // 60 min — otherwise rounding-up would defeat the grace window).
+  if (rawMinutes <= tariff.gracePeriodEntryMin) return 0;
+  const inc = Math.max(1, tariff.incrementMin);
+  const minutes = Math.ceil(rawMinutes / inc) * inc; // round UP to the increment
+
+  const DAY = 24 * 60;
+  let total = 0;
+  for (let segStart = 0; segStart < minutes; segStart += DAY) {
+    const segEnd = Math.min(segStart + DAY, minutes);
+    let segFee = 0;
+    // The block ladder RESETS each rolling-24h day: `within` is minutes elapsed
+    // WITHIN this day, so day 2 starts at the first block again (decision 2026-06-15).
+    for (let within = 0; segStart + within < segEnd; within += inc) {
+      segFee += rateAt(tariff.blocks, within);
+    }
+    if (tariff.dailyCapMinor != null) segFee = Math.min(segFee, tariff.dailyCapMinor);
+    total += segFee;
+  }
+  return total;
+}
+
+/** Price of the increment that starts at `cumulativeMin` — the block whose range
+ *  [prevUpto, uptoMin) contains it; the open-ended (uptoMin=null) block catches the rest. */
+function rateAt(blocks: readonly TariffBlock[], cumulativeMin: number): number {
+  let prev = 0;
+  for (const b of blocks) {
+    if (b.uptoMin == null || cumulativeMin < b.uptoMin) return b.priceMinorPerIncrement;
+    prev = b.uptoMin;
+    void prev;
+  }
+  // No open-ended block and past the last bound: charge the last block's rate.
+  return blocks.length ? blocks[blocks.length - 1]!.priceMinorPerIncrement : 0;
+}
+
 export const ROLES: readonly Role[] = [
   "admin",
   "operator",
diff --git a/wiki/concepts/parking-session.md b/wiki/concepts/parking-session.md
index 2c7b199..99b48e8 100644
--- a/wiki/concepts/parking-session.md
+++ b/wiki/concepts/parking-session.md
@@ -111,8 +111,14 @@ follow this page and [[tariff]]; the decision is recorded in [[session-model]].
   - **Not a fail-state:** an unpaid reject keeps the barrier closed deliberately (driver returns to
     the pay station); "exit fails open" ([[fail-state-safety]]) is about the *system* being unable
     to decide (host/power loss), not an unpaid car.
-  - **Currently every transient exit rejects** — no `payment` events exist until the pay station is
-    built; the validation is the correct end-state, just not passable yet.
+- **Pay station** (`apps/server/src/pay-station.ts`, routes `GET /api/pay/quote` + `POST /api/pay`):
+  look up the open session → resolve the active tariff version (latest `effectiveFrom ≤ entry`) →
+  `computeFee` → append a signed `payment` event (amount, currency, tender, `tariffVersionId`,
+  `graceExitMin`). An operator `overrideMinor` covers lost-ticket/dispute (recorded as the charged
+  amount + the quoted amount). Pay-on-foot: payment is decoupled from the exit lane. PCI scope stays
+  out of the app — `tender` only records cash/card; card capture is the standalone P2PE terminal.
+  - **The full transient loop now passes end to end** (verified): entry → quote → pay → exit opens,
+    session closed, `verifyChain` ok.
 
 > **Design gap (flagged):** `lane_devices` has **no entry/exit direction** model. Entry is
 > button-driven and exit is read-driven, so they don't currently collide — but a lane with both an
diff --git a/wiki/concepts/tariff.md b/wiki/concepts/tariff.md
index df06041..b48084e 100644
--- a/wiki/concepts/tariff.md
+++ b/wiki/concepts/tariff.md
@@ -87,6 +87,15 @@ Deterministic, side-effect-free, unit-testable; the daily cap is applied **per r
 overnight stay doesn't hit the cap twice). Rounding and segment edges are part of the settled spec
 because the chain + reconciliation depend on the result being reproducible.
 
+**Settled edges (2026-06-15, with tests):**
+- **Grace uses RAW duration** — a stay within `gracePeriodEntryMin` is free even though the
+  increment would round it up (else rounding defeats the grace window).
+- **The block ladder RESETS each rolling-24h day** — day 2 starts at the first block again (a 25h
+  stay = day-1 capped + day-2 first-hour rate), so the "daily" rate truly resets daily.
+
+**As-built:** `computeFee(enteredAt, asOf, structure)` in `packages/shared` (pure). Unit-tested
+across grace, block steps, daily cap, and multi-day reset.
+
 ## The pay-on-foot consequence
 
 Because payment is decoupled from exit ([[parking-session]] lifecycle), the tariff has **two
diff --git a/wiki/log.md b/wiki/log.md
index 3bd5888..7c16108 100644
--- a/wiki/log.md
+++ b/wiki/log.md
@@ -517,3 +517,20 @@ guarantee. Recorded in [[dingtian-relay]] (new Hardening section).
 - GAP flagged: lane_devices has no entry/exit DIRECTION model (door mapping hardcoded to 1 for exit);
   fine while entry=button/exit=read, but multi-reader lanes need a lane-direction/role model (ties to
   [[open-questions]] #1). Updated [[parking-session]] as-built + gap, [[index]].
+
+## [2026-06-15] build | Pay station + fee calc; JWT 8h → until-logout
+- JWT: dropped the 8h `expiresIn` (server.ts global + login). Token now valid **until explicit
+  logout**; cookie maxAge = 30 days so a browser restart doesn't log out an active operator
+  (auth.ts `COOKIE_MAX_AGE_SECONDS`). Closes the pending change from the shift decision; updated
+  [[local-jwt-auth]].
+- `computeFee(enteredAt, asOf, structure)` in `packages/shared` — pure integer fee calc.
+  TWO BUGS caught by tests: (1) grace must use RAW duration, not the rounded-up minutes (a 10-min
+  stay was being charged a full hour); (2) the block ladder must RESET each rolling-24h day (decision:
+  day 2 restarts at first-block pricing → 25h = 1200 cap + 200). Both fixed; 9 cases pass.
+- Pay station (`apps/server/src/pay-station.ts` + routes `GET /api/pay/quote`, `POST /api/pay`):
+  open session → active tariff version → computeFee → signed `payment` event (amount/currency/tender/
+  tariffVersionId/graceExitMin); `overrideMinor` for lost-ticket/dispute. Cashier/operator/admin guard.
+- VERIFIED: full loop entry→quote(300 for 90min)→pay→exit opens+closes, verifyChain ok. (A
+  raw-SQL backdate in one test correctly broke the chain — the tamper-evidence working, not a flow bug.)
+- Updated [[tariff]] (settled edges + as-built), [[parking-session]] (pay station as-built; full
+  loop passes).