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--- abstract: 'The purpose of this article is to study the problem of finding sharp lower bounds for the norm of the product of polynomials in the ultraproducts of Banach spaces $(X_i)_{\mathfrak U}$. We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the sp...
{ "pile_set_name": "ArXiv" }
--- abstract: 'Dark Matter detectors with directional sensitivity have the potential of yielding an unambiguous positive observation of WIMPs as well as discriminating between galactic Dark Matter halo models. In this article, we introduce the motivation for directional detectors, discuss the experimental techniques th...
{ "pile_set_name": "ArXiv" }
"---\nabstract: 'The aim of this paper is to establish a global asymptotic equivalence between the e(...TRUNCATED)
{ "pile_set_name": "ArXiv" }
"---\nabstract: |\n We give a general construction of debiased/locally robust/orthogonal (LR) mom(...TRUNCATED)
{ "pile_set_name": "ArXiv" }
"---\nabstract: 'In state space models, smoothing refers to the task of estimating a latent stochast(...TRUNCATED)
{ "pile_set_name": "ArXiv" }
"---\nabstract: 'We analytically derive the upper bound on the overall efficiency of single-photon g(...TRUNCATED)
{ "pile_set_name": "ArXiv" }
"---\nabstract: 'We present a study of a peculiar nebula MF16 associated with an Ultraluminous X-ray(...TRUNCATED)
{ "pile_set_name": "ArXiv" }
"---\nabstract: |\n Flexible and performant Persistency Service is a necessary component of any H(...TRUNCATED)
{ "pile_set_name": "ArXiv" }
"Preprint hep-ph/0006089\n\n[Improved Conformal Mapping of the Borel Plane]{}\n\nU. D. Jentschura (...TRUNCATED)
{ "pile_set_name": "ArXiv" }
"\\[section\\] \\[theorem\\][Lemma]{} \\[theorem\\][Proposition]{} \\[theorem\\][Corollary]{} \\[the(...TRUNCATED)
{ "pile_set_name": "ArXiv" }
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This dataset includes all arxiv documents from the 00.jsonl.zst partition of The Pile. It was created with this script:

pile_path = "data/the_pile/train/00.jsonl.zst"

with zstd.open(pile_path, 'r') as fr:
    with open("/tmp/arxiv.jsonl", "w") as fw:
        for i, line in enumerate(tqdm(fr)):
            doc = json.loads(line)
            source = doc['meta']['pile_set_name']
            if source == "ArXiv":
                fw.write(json.dumps(doc) + "\n")

The validation and test sets are the full official releases.

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