docs: fix remaining dead links in the Chinese README, tutorials and blog (#8894)
# Description
Follow-up to #8688, which fixed 30 dead links: while checking the
remaining links in the Markdown sources I found five more that are dead
or point to pages that no longer exist. All old URLs return 404 and all
replacements return 200 (checked today).
- **`README.zh.md`**: `https://hipc.org/advance-program/` no longer
exists. The English `README.md` already dropped that link in #8688, so
this mirrors the same change: the citation text stays, the link is
removed.
- **`docs/index.md`**: the Lightning card points at the old PyTorch
Lightning readthedocs API page
(`.../pytorch_lightning.strategies.DeepSpeedStrategy.html`, 404);
replaced with the current
`https://lightning.ai/docs/pytorch/stable/api/lightning.pytorch.strategies.DeepSpeedStrategy.html`.
- **`docs/_tutorials/getting-started.md`**: the PyTorch Lightning "See
more details" link points at the removed `.../multi_gpu.html#deepspeed`
page (404); replaced with the current DeepSpeed integration page
`https://lightning.ai/docs/pytorch/stable/advanced/model_parallel/deepspeed.html`.
- **`docs/_tutorials/ds-sequence.md`**: `/tutorials/getting-started/` is
not a valid site path (404); the installation page is
`/getting-started/`. Also fixes the `exampele` typo in the same
paragraph, because the `codespell` pre-commit hook runs on every changed
file and would fail on it.
- **`blogs/deepspeed-chat/japanese/README.md`**: replaces the old
Lightning API and MosaicML Composer links with the pages they moved to
(`docs.mosaicml.com/projects/composer/en/stable/...`).
Old and new URL statuses were checked with an HTTP client; `codespell`
on the changed files passes, and all five files have no trailing
whitespace, use LF line endings and end with a newline, so the
pre-commit hooks should pass.
Documentation-only change: no code or GPU tests are affected.
Signed-off-by is included in the commit (DCO).
Signed-off-by: woodforestsen <1323383155@qq.com>