diff --git a/app/client/components/BaseView.js b/app/client/components/BaseView.js
index f7459c78..c089126d 100644
--- a/app/client/components/BaseView.js
+++ b/app/client/components/BaseView.js
@@ -373,12 +373,17 @@ BaseView.prototype._parsePasteForView = function(data, fields) {
   const updateColIds = updateCols.map(c => c && c.colId());
   const updateColTypes = updateCols.map(c => c && c.type());
   const parsers = fields.map(field => field && field.valueParser() || (x => x));
+  const docIdHash = tableUtil.getDocIdHash();
 
   const richData = data.map((col, idx) => {
     if (!col.length) {
       return col;
     }
-    const typeMatches = col[0] && col[0].colType === updateColTypes[idx];
+    const typeMatches = col[0] && col[0].colType === updateColTypes[idx] && (
+        // When copying references, only use the row ID (raw value) when copying within the same document
+        // to avoid referencing the wrong rows.
+        col[0].docIdHash === docIdHash || !gristTypes.isFullReferencingType(updateColTypes[idx])
+    );
     const parser = parsers[idx];
     return col.map(v => {
       if (v) {
diff --git a/app/client/lib/tableUtil.ts b/app/client/lib/tableUtil.ts
index d1c25595..a48c7b2c 100644
--- a/app/client/lib/tableUtil.ts
+++ b/app/client/lib/tableUtil.ts
@@ -1,6 +1,7 @@
 import type {CopySelection} from 'app/client/components/CopySelection';
 import {get as getBrowserGlobals} from 'app/client/lib/browserGlobals';
 import type {KoArray} from 'app/client/lib/koArray';
+import {simpleStringHash} from 'app/client/lib/textUtils';
 import type {ViewFieldRec} from 'app/client/models/DocModel';
 import type {BulkUpdateRecord} from 'app/common/DocActions';
 import {safeJsonParse} from 'app/common/gutil';
@@ -78,6 +79,15 @@ export function makePasteText(tableData: TableData, selection: CopySelection) {
   return tsvEncode(values);
 }
 
+/**
+ * Hash of the current docId to allow checking if copying and pasting is happening in the same document,
+ * without leaking the actual docId which may allow others to access the document.
+ */
+export function getDocIdHash(): string {
+  const docId = (window as any).gristDocPageModel.currentDocId.get();
+  return simpleStringHash(docId);
+}
+
 /**
  * Returns an html table of containing the cells denoted by the cross product of
  * the given rows and columns, styled by the given table/row/col style dictionaries.
@@ -90,7 +100,8 @@ export function makePasteHtml(tableData: TableData, selection: CopySelection, in
   const rowStyle = selection.rowStyle || {};    // Maps rowId to style object.
   const colStyle = selection.colStyle || {};    // Maps colId to style object.
 
-  const elem = dom('table', {border: '1', cellspacing: '0', style: 'white-space: pre'},
+  const elem = dom('table',
+    {border: '1', cellspacing: '0', style: 'white-space: pre', 'data-grist-doc-id-hash': getDocIdHash()},
     dom('colgroup', selection.colIds.map(colId =>
       dom('col', {
         style: _styleAttr(colStyle[colId]),
@@ -121,6 +132,7 @@ export function makePasteHtml(tableData: TableData, selection: CopySelection, in
 
 export interface RichPasteObject {
   displayValue: string;
+  docIdHash?: string|null;
   colType?: string|null;  // Column type of the source column.
   rawValue?: unknown;     // Optional rawValue that should be used if colType matches destination.
 }
@@ -134,13 +146,14 @@ export function parsePasteHtml(data: string): RichPasteObject[][] {
   const parser = new G.DOMParser() as DOMParser;
   const doc = parser.parseFromString(data, 'text/html');
   const table = doc.querySelector('table');
+  const docIdHash = table?.getAttribute('data-grist-doc-id-hash');
 
   const colTypes = Array.from(table!.querySelectorAll('col'), col =>
     col.getAttribute('data-grist-col-type'));
 
   const result = Array.from(table!.querySelectorAll('tr'), (row, rowIdx) =>
     Array.from(row.querySelectorAll('td, th'), (cell, colIdx) => {
-      const o: RichPasteObject = { displayValue: cell.textContent! };
+      const o: RichPasteObject = {displayValue: cell.textContent!, docIdHash};
 
       // If there's a column type, add it to the object
       if (colTypes[colIdx]) {
diff --git a/app/client/lib/textUtils.ts b/app/client/lib/textUtils.ts
index 0dd8b5d2..28a65c75 100644
--- a/app/client/lib/textUtils.ts
+++ b/app/client/lib/textUtils.ts
@@ -45,3 +45,32 @@ export function findLinks(text: string): Array<{value: string, isLink: boolean}>
   // urls will be at odd-number indices
   return text.split(urlRegex).map((value, i) => ({ value, isLink : (i % 2) === 1}));
 }
+
+/**
+ * Based on https://stackoverflow.com/a/22429679/2482744
+ * -----------------------------------------------------
+ * Calculate a 32 bit FNV-1a hash
+ * Found here: https://gist.github.com/vaiorabbit/5657561
+ * Ref.: http://isthe.com/chongo/tech/comp/fnv/
+ */
+export function hashFnv32a(str: string): string {
+  let hval = 0x811c9dc5;
+  for (let i = 0; i < str.length; i++) {
+    hval ^= str.charCodeAt(i);
+    hval += (hval << 1) + (hval << 4) + (hval << 7) + (hval << 8) + (hval << 24);
+  }
+  // Convert to 8 digit hex string
+  return ("0000000" + (hval >>> 0).toString(16)).substr(-8);
+}
+
+/**
+ * A poor man's hash for when proper crypto isn't worth it.
+ */
+export function simpleStringHash(str: string) {
+  let result = '';
+  // Crudely convert 32 bits to 128 bits to reduce collisions
+  for (let i = 0; i < 4; i++) {
+    result += hashFnv32a(result + str);
+  }
+  return result;
+}