Equation objects and preview images / 公式对象与预览图

This is a locally assembled comparison bundle from one self-authored six-equation source. It is not one product export and does not demonstrate editing in Word, WPS or a MathType add-in.
这是一份基于自编六公式源码在本地整理的核对包，不是一次产品导出，也不代表完成了 Word、WPS 或 MathType 插件内的编辑测试。

source.md: the authored source used for the two existing native downloads.
native-word.docx: unchanged actual ordinary Word download; six native Office Math (OMML) equations.
native-mathtype.docx: unchanged actual MathType download; six Equation.DSMT4 payloads, each with a corresponding display image.
preview-only-control.docx: deliberately constructed local copy. Six OLE objects, their relationships and embedding payloads were removed. The six original PNG images and body text were retained, using ordinary VML picture containers. This file is NOT a failed Doc2X export or a real user's damaged document.

native-word.docx 与 native-mathtype.docx 是同源码的既有原生下载，未改写。
preview-only-control.docx 是明确构造的本地对照：移除六个 OLE 对象及其关系、嵌入数据，只保留对应 PNG 与正文，并使用图片容器。它不是 Doc2X 导出失败案例或用户损坏文档。

The three PDFs are fresh local LibreOfficeDev 26.8 headless renders. System fonts were supplied to the rendering process only; no system font settings were changed. The MathType and image-control previews look similar, but are not pixel-identical. Check their full pages; visual appearance does not establish the object type.
三份 PDF 是 LibreOfficeDev 26.8 的本地渲染。只为渲染进程提供已有字体，没有修改系统字体。MathType 与图片对照外观接近，但不是逐像素一致；页面相近不等于对象相同。

Optional verification / 可选只读核验:
  python3 inspect_samples.py

Run the script after extracting this whole bundle. Python 3 standard library only; no network calls, file extraction or file modifications. It checks only the three named fixed samples and requires their recorded hashes. It follows the main-document equation relationships and checks each MathType preview shape against ShapeID. It does not execute the embedded objects, repair files, inspect arbitrary documents, validate mathematical correctness, or establish application compatibility.
完整解压后运行。脚本仅使用 Python 3 标准库，不联网、不解包其他文件、不修改文件，只接受这三份固定样例及其记录哈希。它核对正文公式关系，并按 ShapeID 匹配 MathType 预览。不会执行嵌入对象、修复文件、检测任意文档、判断数学内容正确性或证明软件兼容。

Expected counts / 预期计数 (OMML / MathType / matching previews / standalone images):
  native-word.docx:          6 / 0 / 0 / 0
  native-mathtype.docx:      0 / 6 / 6 / 0
  preview-only-control.docx: 0 / 0 / 0 / 6

All six preview PNGs have identical bytes between the native MathType file and the local image-only control. The images alone do not contain the original OLE payloads. Retain originals and check editing in the intended software before changing a real document.
两份文件中的六张 PNG 字节相同；图片本身不包含被移除的 OLE 数据。保留原件，在实际使用的软件中验证编辑后，再决定如何处理真实文档。
