Issue: Excessive warnings when resuming an IterableDataset+buffered shuffle+DDP.

### Describe the bug

I have a large dataset that I shared into 1024 shards and save on the disk during pre-processing. During training, I load the dataset using load_from_disk() and convert it into an iterable dataset, shuffle it and split the shards to different DDP nodes using the recommended method.

However, when the training is resumed mid-epoch, I get thousands of identical warning messages:

```
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
```



### Steps to reproduce the bug

1. Run a multi-node training job using the following python script and interrupt the training after a few seconds to save a mid-epoch checkpoint.

```python
#!/usr/bin/env python
import os
import time
from typing import Dict, List
import torch
import lightning as pl
from torch.utils.data import DataLoader
from datasets import Dataset
from datasets.distributed import split_dataset_by_node
import datasets
from transformers import AutoTokenizer
from more_itertools import flatten, chunked
from torchdata.stateful_dataloader import StatefulDataLoader
from lightning.pytorch.callbacks.on_exception_checkpoint import (
    OnExceptionCheckpoint,
)

datasets.logging.set_verbosity_debug()


def dummy_generator():
    # Generate 60 examples: integers from $0$ to $59$
    # 64 sequences of different lengths
    dataset = [
        list(range(3, 10)),
        list(range(10, 15)),
        list(range(15, 21)),
        list(range(21, 27)),
        list(range(27, 31)),
        list(range(31, 36)),
        list(range(36, 45)),
        list(range(45, 50)),
    ]
    for i in range(8):
        for j, ids in enumerate(dataset):
            yield {"token_ids": [idx + i * 50 for idx in ids]}


def group_texts(
    examples: Dict[str, List[List[int]]],
    block_size: int,
    eos_token_id: int,
    bos_token_id: int,
    pad_token_id: int,
) -> Dict[str, List[List[int]]]:
    real_block_size = block_size - 2  # make space for bos and eos
    # colapse the sequences into a single list of tokens and then create blocks of real_block_size
    input_ids = []
    attention_mask = []
    for block in chunked(flatten(examples["token_ids"]), real_block_size):
        s = [bos_token_id] + list(block) + [eos_token_id]
        ls = len(s)
        attn = [True] * ls
        s += [pad_token_id] * (block_size - ls)
        attn += [False] * (block_size - ls)
        input_ids.append(s)
        attention_mask.append(attn)

    return {"input_ids": input_ids, "attention_mask": attention_mask}


def collate_fn(batch):
    return {
        "input_ids": torch.tensor(
            [item["input_ids"] for item in batch], dtype=torch.long
        ),
        "attention_mask": torch.tensor(
            [item["attention_mask"] for item in batch], dtype=torch.long
        ),
    }


class DummyModule(pl.LightningModule):

    def __init__(self):
        super().__init__()
        # A dummy linear layer (not used for actual computation)
        self.layer = torch.nn.Linear(1, 1)
        self.ds = None
        self.prepare_data_per_node = False

    def on_train_start(self):
        # This hook is called once training begins on each process.
        print(f"[Rank {self.global_rank}] Training started.", flush=True)
        self.data_file = open(f"data_{self.global_rank}.txt", "w")

    def on_train_end(self):
        self.data_file.close()

    def training_step(self, batch, batch_idx):
        # Print batch information to verify data loading.
        time.sleep(5)
        # print("batch", batch, flush=True)
        print(
            f"\n[Rank {self.global_rank}] Training step, epoch {self.trainer.current_epoch}, batch {batch_idx}: {batch['input_ids']}",
            flush=True,
        )
        self.data_file.write(
            f"[Rank {self.global_rank}] Training step, epoch {self.trainer.current_epoch}, batch {batch_idx}: {batch['input_ids']}\n"
        )
        # Compute a dummy loss (here, simply a constant tensor)
        loss = torch.tensor(0.0, requires_grad=True)
        return loss

    def on_train_epoch_start(self):
        epoch = self.trainer.current_epoch
        print(
            f"[Rank {self.global_rank}] Training epoch {epoch} started.",
            flush=True,
        )
        self.data_file.write(
            f"[Rank {self.global_rank}] Training epoch {epoch} started.\n"
        )

    def configure_optimizers(self):
        # Return a dummy optimizer.
        return torch.optim.SGD(self.parameters(), lr=0.001)


class DM(pl.LightningDataModule):
    def __init__(self):
        super().__init__()
        self.ds = None
        self.prepare_data_per_node = False

    def set_epoch(self, epoch: int):
        self.ds.set_epoch(epoch)

    def prepare_data(self):
        # download the dataset
        dataset = Dataset.from_generator(dummy_generator)
        # save the dataset
        dataset.save_to_disk("dataset", num_shards=4)

    def setup(self, stage: str):
        # load the dataset
        ds = datasets.load_from_disk("dataset").to_iterable_dataset(
            num_shards=4
        )
        ds = ds.map(
            group_texts,
            batched=True,
            batch_size=5,
            fn_kwargs={
                "block_size": 5,
                "eos_token_id": 1,
                "bos_token_id": 0,
                "pad_token_id": 2,
            },
            remove_columns=["token_ids"],
        ).shuffle(seed=42, buffer_size=8)
        ds = split_dataset_by_node(
            ds,
            rank=self.trainer.global_rank,
            world_size=self.trainer.world_size,
        )
        self.ds = ds

    def train_dataloader(self):
        print(
            f"[Rank {self.trainer.global_rank}] Preparing train_dataloader...",
            flush=True,
        )
        rank = self.trainer.global_rank
        print(
            f"[Rank {rank}] Global rank: {self.trainer.global_rank}",
            flush=True,
        )
        world_size = self.trainer.world_size
        print(f"[Rank {rank}] World size: {world_size}", flush=True)
        return StatefulDataLoader(
            self.ds,
            batch_size=2,
            num_workers=2,
            collate_fn=collate_fn,
            drop_last=True,
            persistent_workers=True,
        )


if __name__ == "__main__":
    print("Starting Lightning training", flush=True)
    # Optionally, print some SLURM environment info for debugging.
    print(f"SLURM_NNODES: {os.environ.get('SLURM_NNODES', '1')}", flush=True)

    # Determine the number of nodes from SLURM (defaulting to 1 if not set)
    num_nodes = int(os.environ.get("SLURM_NNODES", "1"))
    model = DummyModule()
    dm = DM()
    on_exception = OnExceptionCheckpoint(
        dirpath="checkpoints",
        filename="on_exception",
    )

    # Configure the Trainer to use distributed data parallel (DDP).
    trainer = pl.Trainer(
        accelerator="gpu" if torch.cuda.is_available() else "cpu",
        devices=1,
        strategy=(
            "ddp" if num_nodes > 1 else "auto"
        ),  # Use DDP strategy for multi-node training.
        num_nodes=num_nodes,
        max_epochs=2,
        logger=False,
        enable_checkpointing=True,
        num_sanity_val_steps=0,
        enable_progress_bar=False,
        callbacks=[on_exception],
    )

    # resume (uncomment to resume)
    # trainer.fit(model, datamodule=dm, ckpt_path="checkpoints/on_exception.ckpt")
    # train

    trainer.fit(model, datamodule=dm)
```



```bash
#!/bin/bash
#SBATCH --job-name=pl_ddp_test
#SBATCH --nodes=2                     # Adjust number of nodes as needed
#SBATCH --ntasks-per-node=1           # One GPU (process) per node
#SBATCH --cpus-per-task=3             # At least as many dataloader workers as required
#SBATCH --gres=gpu:1                  # Request one GPU per node
#SBATCH --time=00:10:00               # Job runtime (adjust as needed)
#SBATCH --partition=gpu-preempt               # Partition or queue name
#SBATCH -o script.out

# Disable Python output buffering.
export PYTHONUNBUFFERED=1

echo "SLURM job starting on $(date)"
echo "Running on nodes: $SLURM_NODELIST"
echo "Current directory: $(pwd)"
ls -l

# Launch the script using srun so that each process starts the Lightning module.
srun script.py
```
2. Uncomment the "resume" line (second to last) and comment the original `trainer.fit` call (last line). 
It will produce the following log.
```
[Rank 0] Preparing train_dataloader...
[Rank 0] Global rank: 0
[Rank 0] World size: 2
[Rank 1] Preparing train_dataloader...
[Rank 1] Global rank: 1
[Rank 1] World size: 2
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
Assigning 2 shards (or data sources) of the dataset to each node.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
node#0 dataloader worker#1, ': Starting to iterate over 1/2 shards.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
node#0 dataloader worker#0, ': Starting to iterate over 1/2 shards.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
Set __getitem__(key) output type to arrow for no columns  (when key is int or slice) and don't output other (un-formatted) columns.
Set __getitem__(key) output type to arrow for no columns  (when key is int or slice) and don't output other (un-formatted) columns.
node#0 dataloader worker#1, ': Finished iterating over 1/1 shards.
node#0 dataloader worker#0, ': Finished iterating over 1/1 shards.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
[Rank 0] Training started.
[Rank 0] Training epoch 0 started.
[Rank 0] Training epoch 1 started.
Assigning 2 shards (or data sources) of the dataset to each node.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
node#0 dataloader worker#1, ': Starting to iterate over 1/2 shards.
node#0 dataloader worker#0, ': Starting to iterate over 1/2 shards.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
node#1 dataloader worker#1, ': Starting to iterate over 1/2 shards.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
node#1 dataloader worker#0, ': Starting to iterate over 1/2 shards.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
Set __getitem__(key) output type to arrow for no columns  (when key is int or slice) and don't output other (un-formatted) columns.
Set __getitem__(key) output type to arrow for no columns  (when key is int or slice) and don't output other (un-formatted) columns.
node#0 dataloader worker#1, ': Finished iterating over 1/1 shards.
node#0 dataloader worker#0, ': Finished iterating over 1/1 shards.
`Trainer.fit` stopped: `max_epochs=2` reached.
Set __getitem__(key) output type to arrow for no columns  (when key is int or slice) and don't output other (un-formatted) columns.
Set __getitem__(key) output type to arrow for no columns  (when key is int or slice) and don't output other (un-formatted) columns.
node#1 dataloader worker#1, ': Finished iterating over 1/1 shards.
node#1 dataloader worker#0, ': Finished iterating over 1/1 shards.
[Rank 1] Training started.
[Rank 1] Training epoch 0 started.
[Rank 1] Training epoch 1 started.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
node#1 dataloader worker#1, ': Starting to iterate over 1/2 shards.
node#1 dataloader worker#0, ': Starting to iterate over 1/2 shards.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
Loading a state dict of a shuffle buffer of a dataset without the buffer content.The shuffle buffer will be refilled before starting to yield new examples.
Set __getitem__(key) output type to arrow for no columns  (when key is int or slice) and don't output other (un-formatted) columns.
Set __getitem__(key) output type to arrow for no columns  (when key is int or slice) and don't output other (un-formatted) columns.
node#1 dataloader worker#0, ': Finished iterating over 1/1 shards.
node#1 dataloader worker#1, ': Finished iterating over 1/1 shards.
```

I'm also attaching the relevant state_dict to make sure that the state is being checkpointed as expected.

```
{'_iterator_finished': True,
                                     '_snapshot': {'_last_yielded_worker_id': 1,
                                                   '_main_snapshot': {'_IterableDataset_len_called': None,
                                                                      '_base_seed': 3992758080362545099,
                                                                      '_index_sampler_state': {'samples_yielded': 64},
                                                                      '_num_workers': 2,
                                                                      '_sampler_iter_state': None,
                                                                      '_sampler_iter_yielded': 32,
                                                                      '_shared_seed': None},
                                                   '_snapshot_step': 32,
                                                   '_worker_snapshots': {'worker_0': {'dataset_state': {'ex_iterable': {'shard_example_idx': 0,
                                                                                                                        'shard_idx': 1},
                                                                                                        'num_examples_since_previous_state': 0,
                                                                                                        'previous_state': {'shard_example_idx': 0,
                                                                                                                           'shard_idx': 1},
                                                                                                        'previous_state_example_idx': 33},
                                                                                      'fetcher_state': {'dataset_iter_state': None,
                                                                                                        'fetcher_ended': False},
                                                                                      'worker_id': 0},
                                                                         'worker_1': {'dataset_state': {'ex_iterable': {'shard_example_idx': 0,
                                                                                                                        'shard_idx': 1},
                                                                                                        'num_examples_since_previous_state': 0,
                                                                                                        'previous_state': {'shard_example_idx': 0,
                                                                                                                           'shard_idx': 1},
                                                                                                        'previous_state_example_idx': 33},
                                                                                      'fetcher_state': {'dataset_iter_state': None,
                                                                                                        'fetcher_ended': False},
                                                                                      'worker_id': 1}}},
                                     '_steps_since_snapshot': 0}
```

### Expected behavior

Since I'm following all the recommended steps, I don't expect to see any warning when resuming. Am I doing something wrong? Also, can someone explain why I'm seeing 20 identical messages in the log in this reproduction setting? I'm trying to understand why I see thousands of these messages with the actual dataset. 

One more surprising thing I noticed in the logs is the change in a number of shards per worker. In the following messages, the denominator changes from 2 to 1.  

```
node#1 dataloader worker#1, ': Starting to iterate over 1/2 shards.
...
node#1 dataloader worker#1, ': Finished iterating over 1/1 shards.
```

### Environment info

python: 3.11.10
datasets: 3.3.2
lightning: 2.3.1



Comments:
I had a similar issue when loading the saved iterable dataset state to fast-forward to the mid-train location before resuming. This happened when I shuffled a concatenated dataset. A `iterable_data_state_dict.json` file was saved during checkpointing in the Trainer with:
```
def _save_rng_state(self, output_dir):
    super()._save_rng_state(output_dir)
    if self.args.should_save:
        with open(os.path.join(output_dir, f'iterable_data_state_dict.json'), 'w', encoding='utf-8') as fo:
            json.dump(self.train_dataset.state_dict(), fo, ensure_ascii=False)
```
Then when resuming training, I use `load_state_dict` to get the dataset state:
```
if training_args.resume_from_checkpoint:
    if isinstance(training_args.resume_from_checkpoint, bool):
        resume_from_checkpoint = get_last_checkpoint(training_args.output_dir)
    else:
        resume_from_checkpoint = training_args.resume_from_checkpoint
    last_ckpt_iterable_data_state_dict_file_path = os.path.join(resume_from_checkpoint, f'iterable_data_state_dict.json')
    if not training_args.ignore_data_skip:
        raise ValueError(f'Please set `ignore_data_skip`=True to skip tokenization.')
    with open(last_ckpt_iterable_data_state_dict_file_path, 'r', encoding='utf-8') as f:
        train_dataset_state_dict = json.load(f)
        train_dataset.load_state_dict(train_dataset_state_dict)
        print(f'Loaded train_dataset state from {last_ckpt_iterable_data_state_dict_file_path}')
```

Then code works fine before I shuffled a subset of the training data to:
```
math_dataset = concatenate_datasets([A, B]).to_iterable_dataset()
shuffled_math_dataset = math_dataset.shuffle(seed=42, buffer_size=1000000)
```

Other than the warning, a real problem is that the loss bumped after loading a ckpt:

<img width="400" alt="Image" src="https://github.com/user-attachments/assets/c8944e81-9df9-4857-82de-6ab9ebc1b066" />