fix(rectification): anchor candidate windows to civil dates across midnight

Carry explicit local date intervals instead of inferring the day from clock
order. Cluster width, delivery, adoption, and reports keep the actual civil
date; adopted date is stored separately from the reported birth_date.

Algorithm identity is scoring-9 / spec-v5. Scoring weights, confirmation
thresholds, and Skill version are unchanged. Isolated Linux final-3 gates
passed; four pre-existing Python failures remain. This is not a production
release.

frontend/src/components/chart-library-panel.tsx

@@ -1,6 +1,7 @@
 "use client";
 
 import { ChevronRight } from "lucide-react";
+import { effectiveBirthDate } from "@/lib/effective-birth-date";
 import { useState, type Dispatch, FormEvent, SetStateAction } from "react";
 import { ChartProfileForm } from "@/components/chart-profile-form";
 import { activeChartStorageKey, deleteCloudChartProfile, saveCloudChartProfile, updateCloudChartProfile } from "@/lib/home-cloud-sync";
@@ -205,7 +206,7 @@ export function ChartLibraryPanel({
             <span className={`chart-role-badge${isSelf ? " is-self" : ""}`}>{isSelf ? "本人" : chartRelationshipLabel(record.relationship)}</span>
             {isSelf ? <span className="chart-default-badge">当前默认</span> : null}
           </div>
-          <small>{record.profile.date || "出生日期待补全"} · {profileBirthTimeLabel(record.profile)} · {profilePlaceLabel(record.profile)}</small>
+          <small>{effectiveBirthDate(record.profile) || "出生日期待补全"} · {profileBirthTimeLabel(record.profile)} · {profilePlaceLabel(record.profile)}</small>
           <small>{profileBirthTimeStatusLabel(record.profile)} · {formatChartUpdatedAt(record.updatedAt)}</small>
         </div>
         <ChevronRight className="chart-library-item-chevron" aria-hidden="true" />

frontend/src/components/rectification-board.tsx

@@ -16,6 +16,7 @@ import {
 } from "@/lib/rectification-candidate-result";
 import {
   windowScanLayerLabel,
+  lagnaContrastIntervalLabel,
   type WindowScanLayer,
 } from "@/lib/rectification-agentic/v9/refinement-packet";
 import { rectificationBoardEmptyCopy } from "@/lib/rectification-surface-state";
@@ -210,8 +211,8 @@ function RectificationBoardBody({
                   <p>{engineMeaningToDisplayCopy(contrast.user_meaning)}</p>
                   <ul>
                     {contrast.intervals.map((interval) => (
-                      <li key={`${interval.start}-${interval.end}`}>
-                        {interval.start}-{interval.end}：{interval.lagna}
+                      <li key={`${interval.start_at ?? interval.start}-${interval.end_at ?? interval.end}`}>
+                        {lagnaContrastIntervalLabel(interval)}：{interval.lagna}
                         {interval.lords.l1 ? `；一/四/七/十宫主 ${[interval.lords.l1, interval.lords.l4, interval.lords.l7, interval.lords.l10].filter(Boolean).join("、")}` : ""}
                       </li>
                     ))}

frontend/src/components/rectification-range-delivery.tsx

@@ -1,5 +1,6 @@
 "use client";
 
+import { windowIntervalsLabel } from "@/lib/rectification-agentic/core/candidate-window";
 import type { RectificationCandidateResult } from "@/lib/rectification-candidate-result";
 import {
   RECTIFICATION_USER_COPY,
@@ -36,10 +37,12 @@ export function RectificationRangeDelivery({
   const selected = result.selectedTime;
   const busy = Boolean(acceptingCandidateId) || readonly || adoptLocked;
   const columns = delivery?.columns ?? [];
-  const title = range
+  const rangeLabel = result.credibleIntervals?.length ? windowIntervalsLabel(result.credibleIntervals, result.declaredBirthDate)
+    : range ? `${range[0]}–${range[1]}` : null;
+  const title = rangeLabel
     ? eventCount > 0
-      ? `${RECTIFICATION_USER_COPY.rangeDeliveryTitle} ${range[0]}–${range[1]}（${rangeDeliveryEventCopy(eventCount)}）`
-      : `${RECTIFICATION_USER_COPY.rangeDeliveryTitle} ${range[0]}–${range[1]}`
+      ? `${RECTIFICATION_USER_COPY.rangeDeliveryTitle} ${rangeLabel}（${rangeDeliveryEventCopy(eventCount)}）`
+      : `${RECTIFICATION_USER_COPY.rangeDeliveryTitle} ${rangeLabel}`
     : RECTIFICATION_USER_COPY.rangeDeliveryTitle;
   const markdown = delivery?.verification_markdown
     ?? result.verificationReportMarkdown;
@@ -77,6 +80,9 @@ export function RectificationRangeDelivery({
       ) : null}
       <ul className="rectification-range-delivery__columns">
         {columns.map((column) => {
+          const candidateDate = result.candidates.find((candidate) => candidate.candidateId === column.candidate_id)?.candidate_date;
+          const relativeDay = candidateDate && result.declaredBirthDate && candidateDate !== result.declaredBirthDate
+            ? candidateDate < result.declaredBirthDate ? "（前一天）" : "（后一天）" : "";
           const adopted = selected === column.time;
           const adopting = acceptingCandidateId === column.candidate_id;
           const missing = column.fit == null || column.windows == null;
@@ -85,7 +91,8 @@ export function RectificationRangeDelivery({
               key={column.candidate_id}
               className={`rectification-range-delivery__column${adopted ? " is-adopted" : ""}`}
             >
-              <div className="rectification-range-delivery__time">{column.time}</div>
+              <div className="rectification-range-delivery__time">{candidateDate ? `${candidateDate}${relativeDay} ${column.time}` : column.time}</div>
+              {candidateDate ? <p className="rectification-range-delivery__muted">采用后，排盘使用这一日期和时间；原填报日期保留。</p> : null}
               <p className="rectification-range-delivery__likelihood">
                 {RECTIFICATION_USER_COPY.rangeDeliveryRelativeLikelihood}
                 {" "}