diff --git a/app/src/lib/filePathLinks.test.ts b/app/src/lib/filePathLinks.test.ts
new file mode 100644
index 0000000..eccddf5
--- /dev/null
+++ b/app/src/lib/filePathLinks.test.ts
@@ -0,0 +1,104 @@
+import { describe, expect, it } from "vitest";
+import { findFilePathLinks } from "./filePathLinks";
+
+const one = (text: string) => {
+  const m = findFilePathLinks(text);
+  expect(m, text).toHaveLength(1);
+  return m[0];
+};
+
+describe("findFilePathLinks — what is a path", () => {
+  it.each([
+    ["src/foo.ts", "src/foo.ts"],
+    ["/workspace/x/README.md", "/workspace/x/README.md"],
+    ["./scripts/build.sh", "./scripts/build.sh"],
+    ["../other/Cargo.toml", "../other/Cargo.toml"],
+    ["Makefile", "Makefile"],
+    ["Dockerfile", "Dockerfile"],
+    ["CLAUDE.md", "CLAUDE.md"],
+    [".gitignore", ".gitignore"],
+    ["app/src-tauri/src/lib.rs", "app/src-tauri/src/lib.rs"],
+    ["my-dir/some_file.test.tsx", "my-dir/some_file.test.tsx"],
+  ])("matches %s", (text, path) => {
+    expect(one(text).path).toBe(path);
+  });
+
+  it.each([
+    "1.2.3",
+    "v2.11.0",
+    "example.com",
+    "claude.ai",
+    "e.g.",
+    "https://example.com/a/b.ts",
+    "http://localhost:1420/viewer.html",
+    "foo",
+    "a.b",
+    "10.0.0.1",
+    "and/or",
+    "src/components",
+  ])("does not match %s", (text) => {
+    expect(findFilePathLinks(text)).toEqual([]);
+  });
+
+  it("matches a slash-less token only with a known source/doc extension", () => {
+    expect(one("index.ts").path).toBe("index.ts");
+    expect(one("notes.md").path).toBe("notes.md");
+    expect(findFilePathLinks("archive.xyz")).toEqual([]);
+    // With a slash, any extension will do.
+    expect(one("dist/archive.xyz").path).toBe("dist/archive.xyz");
+  });
+});
+
+describe("findFilePathLinks — line and column suffixes", () => {
+  it("parses :line", () => {
+    expect(one("src/foo.ts:42")).toMatchObject({ path: "src/foo.ts", line: 42 });
+  });
+  it("parses :line:col", () => {
+    expect(one("src/foo.ts:42:7")).toMatchObject({ path: "src/foo.ts", line: 42, col: 7 });
+  });
+  it("parses :start-end", () => {
+    expect(one("app/src/lib/urlRelay.ts:139-150")).toMatchObject({ path: "app/src/lib/urlRelay.ts", line: 139, endLine: 150 });
+  });
+  it("parses #L42 and #L40-L50", () => {
+    expect(one("README.md#L42")).toMatchObject({ path: "README.md", line: 42 });
+    expect(one("README.md#L40-L50")).toMatchObject({ path: "README.md", line: 40, endLine: 50 });
+  });
+  it("does not read a trailing colon as a line", () => {
+    expect(one("Edited src/foo.ts:")).toMatchObject({ path: "src/foo.ts", line: undefined });
+  });
+});
+
+describe("findFilePathLinks — markdown wrapping and offsets", () => {
+  it.each([
+    ["`src/foo.ts`", 1, 11],
+    ["(src/foo.ts)", 1, 11],
+    ["[src/foo.ts]", 1, 11],
+    ['"src/foo.ts"', 1, 11],
+    ["'src/foo.ts'", 1, 11],
+    ["see src/foo.ts.", 4, 14],
+    ["see src/foo.ts, then", 4, 14],
+    ["see src/foo.ts;", 4, 14],
+  ])("strips wrapping in %s", (text, start, end) => {
+    expect(one(text)).toMatchObject({ path: "src/foo.ts", start, end });
+  });
+
+  it("keeps the :line suffix inside the span", () => {
+    // "at `" is 4 characters; the span covers `src/foo.ts:42` (13 chars).
+    expect(one("at `src/foo.ts:42`")).toMatchObject({ path: "src/foo.ts", line: 42, start: 4, end: 17 });
+  });
+
+  it("finds several paths in one line, in order", () => {
+    const m = findFilePathLinks("Read src/a.ts and src/b.rs:3, wrote docs/c.md");
+    expect(m.map((x) => x.path)).toEqual(["src/a.ts", "src/b.rs", "docs/c.md"]);
+    expect(m[1].line).toBe(3);
+  });
+
+  it("skips anything inside a URL", () => {
+    expect(findFilePathLinks("see https://github.com/o/r/blob/main/src/foo.ts:12 now")).toEqual([]);
+    expect(one("see https://x.io/a and src/foo.ts").path).toBe("src/foo.ts");
+  });
+
+  it("ignores a Claude tool header like ⏺ Read(src/foo.ts) except for the path", () => {
+    expect(one("⏺ Read(src/foo.ts)").path).toBe("src/foo.ts");
+  });
+});
diff --git a/app/src/lib/filePathLinks.ts b/app/src/lib/filePathLinks.ts
new file mode 100644
index 0000000..c5f64a9
--- /dev/null
+++ b/app/src/lib/filePathLinks.ts
@@ -0,0 +1,124 @@
+/**
+ * Finds file paths in a line of terminal text.
+ *
+ * Pure: the xterm glue (`components/terminal/filePathLinkProvider.ts`) turns
+ * buffer rows into a string and string offsets back into cells; this decides
+ * what a path is. Deliberately conservative — a false link is an annoying
+ * underline, a missed one is a copy-paste — so a token needs either a `/` or
+ * a known extension, and never sits inside a URL.
+ */
+
+export interface FilePathMatch {
+  /** Indices into the input; `end` exclusive. Covers path + suffix, not wrapping. */
+  start: number;
+  end: number;
+  path: string;
+  line?: number;
+  col?: number;
+  endLine?: number;
+}
+
+/** Extensions that make a slash-less token (`index.ts`, `notes.md`) a path. */
+const KNOWN_EXTENSIONS = new Set([
+  "md", "markdown", "txt", "rst", "json", "jsonc", "yaml", "yml", "toml", "ini", "cfg", "conf",
+  "env", "lock", "js", "jsx", "mjs", "cjs", "ts", "tsx", "rs", "py", "rb", "go", "java", "kt",
+  "c", "h", "cc", "cpp", "hpp", "cs", "php", "swift", "scala", "lua", "sh", "bash", "zsh",
+  "fish", "ps1", "html", "htm", "xml", "svelte", "vue", "css", "scss", "sass", "less", "sql",
+  "graphql", "proto", "diff", "patch", "csv", "tsv", "log", "svg", "png", "jpg", "jpeg", "gif",
+  "webp",
+]);
+
+/** Extensionless names that are files by convention. */
+const KNOWN_BASENAMES = new Set([
+  "Makefile", "Dockerfile", "Rakefile", "Gemfile", "Procfile", "Vagrantfile", "LICENSE",
+  "README", "CHANGELOG", "PKGBUILD",
+]);
+
+/**
+ * A candidate token: path characters, optionally starting with `/`, `./`, `../`
+ * or `.` (dotfile). Excludes the wrapping characters the surrounding markdown
+ * leaves (`(`, `)`, `[`, `]`, backtick, quotes) and whitespace.
+ */
+const TOKEN = /(?:\.{1,2}\/|\/)?[A-Za-z0-9_.\-~+@]+(?:\/[A-Za-z0-9_.\-~+@]+)*\/?/g;
+const URL_SCHEME = /[a-z][a-z0-9+.-]*:\/\//gi;
+const LINE_SUFFIX = /^(?::(\d+)(?::(\d+))?(?:-(\d+))?|#L(\d+)(?:-L?(\d+))?)/;
+const VERSION_LIKE = /^v?\d+(\.\d+)+$/;
+const TRAILING_PUNCT = /[.,;:]+$/;
+
+function isPathLike(token: string): boolean {
+  if (VERSION_LIKE.test(token)) return false;
+  const base = token.slice(token.lastIndexOf("/") + 1);
+  if (base === "" || base === "." || base === "..") return false;
+  if (KNOWN_BASENAMES.has(base)) return true;
+
+  const hasSlash = token.includes("/");
+  const dot = base.lastIndexOf(".");
+
+  if (dot === 0) {
+    // Dotfile (.gitignore, .env). With a slash the name itself counts as
+    // "having an extension"; without one it must be a known dotfile.
+    if (hasSlash) return true;
+    return KNOWN_EXTENSIONS.has(base.slice(1).toLowerCase()) || base === ".gitignore" || base === ".env";
+  }
+  if (dot < 0) return false; // no extension at all — never a path
+  // A real extension. With a slash any extension will do; without one it
+  // must be a known source/doc extension.
+  if (hasSlash) return true;
+  return KNOWN_EXTENSIONS.has(base.slice(dot + 1).toLowerCase());
+}
+
+function urlSpans(text: string): Array<[number, number]> {
+  const spans: Array<[number, number]> = [];
+  for (const m of text.matchAll(URL_SCHEME)) {
+    const start = m.index ?? 0;
+    // A URL runs to the next whitespace or closing bracket/quote.
+    const rest = text.slice(start);
+    const len = rest.search(/[\s)\]'"`>]/);
+    spans.push([start, len < 0 ? text.length : start + len]);
+  }
+  return spans;
+}
+
+export function findFilePathLinks(text: string): FilePathMatch[] {
+  const urls = urlSpans(text);
+  const insideUrl = (i: number) => urls.some(([s, e]) => i >= s && i < e);
+  const out: FilePathMatch[] = [];
+
+  for (const m of text.matchAll(TOKEN)) {
+    const start = m.index ?? 0;
+    let token = m[0];
+    if (insideUrl(start)) continue;
+
+    // Trailing sentence punctuation is not part of the name.
+    const trimmed = token.replace(TRAILING_PUNCT, "");
+    if (trimmed !== token) token = trimmed;
+    if (token.endsWith("/")) token = token.slice(0, -1);
+    if (!token || !isPathLike(token)) continue;
+
+    let end = start + token.length;
+    // `line`/`col`/`endLine` are set explicitly to `undefined` (rather than
+    // left absent) so callers that assert on them with `toMatchObject` see
+    // the key, not a missing property.
+    const match: FilePathMatch = { start, end, path: token, line: undefined, col: undefined, endLine: undefined };
+
+    // The suffix sits right after the *trimmed* token: `TOKEN` may have
+    // consumed a trailing `.` that `TRAILING_PUNCT` then removed, so search
+    // from `start + token.length`, not from the end of the raw match.
+    const after = text.slice(start + token.length);
+    const s = LINE_SUFFIX.exec(after);
+    if (s) {
+      if (s[1] !== undefined) {
+        match.line = Number(s[1]);
+        if (s[2] !== undefined) match.col = Number(s[2]);
+        if (s[3] !== undefined) match.endLine = Number(s[3]);
+      } else if (s[4] !== undefined) {
+        match.line = Number(s[4]);
+        if (s[5] !== undefined) match.endLine = Number(s[5]);
+      }
+      end += s[0].length;
+      match.end = end;
+    }
+    out.push(match);
+  }
+  return out;
+}