Part of the arXMLiv project at the KWARC research group

- Deyan Ginev

- 08.2018

The content of this Dataset is licensed to SIGMathLing members for research and tool development purposes.

Access is restricted to SIGMathLing members under the SIGMathLing Non-Disclosure-Agreement as for most arXiv articles, the right of distribution was only given (or assumed) to arXiv itself.

- 10.5 million plain-text paragraphs associated with a statement class
- 50 directories, each containing entries from the same class of scientific statements
- each filename is a SHA-256 hash of its contents, as a guarantee for uniqueness and random order
- two separate tar bundles over the same data, one with and one without lexemes for mathematical expressions
- data is extracted from the separately distributed arXMLiv 08.2018 dataset.
- see the bottom of this page for a full statement frequency breakdown

file name | MD5 | size | size unpacked |
---|---|---|---|

`statement_paragraphs_arxmliv_08_2018.tar` |
`ff48316737b41c13fbaa786eef8d1b6e` |
22 GB | 45 GB |

`nomath_statement_paragraphs_arxmliv_08_2018.tar` |
`e214eacb3b73fa3e7416f00673f9c298` |
12 GB | 40 GB |

For the full details, please read our paper on announcing the statement classification task.

This is a first public release of an annotated statement dataset derived from arXMLiv, a machine-readable representation of the arXiv corpus of scientific articles.

This resource contains 10,555,689 paragraphs with associated statement labels, realized as one paragraph per file, one sentence per line. Each file is placed in a subdirectory named after its annotated class. The statements were extracted from author-annotated environments, where we only selected the *first* paragraph,immediately following the heading. Headings include both structural sections (e.g. *Introduction*), as well as scholarly statement annotations, (e.g. *Definition*, *Proof*, *Remark*).

We also include a control dataset of the same statements with all mathematical symbolism omitted (`nomath`

), numbering 10,137,007 paragraphs. This math-free resource is smaller as omitting the formulas results in fewer unique paragraphs. We consider it a useful benchmark when trying to evaluate the specific impact of mathematical expressions on classification performance.

We welcome community feedback on all of: data quality, representation issues, as well as organization and archival best practices. We plan on jointly release new versions of this data together with new releases of the arXMLiv corpus.

Definition with math lexemes (main data, single sentence, linebreaks for readability):

```
a directed quantum turing automaton is a quadruple
italic_T RELOP_equals OPEN_( caligraphic_H PUNCT_, caligraphic_K PUNCT_, caligraphic_L PUNCT_, italic_tau CLOSE_) PUNCT_,
where
caligraphic_H caligraphic_K and caligraphic_L
are finite dimensional hilbert spaces over the complex field blackboard_C and
italic_tau METARELOP_colon caligraphic_H MULOP_tensor_product caligraphic_K ARROW_rightarrow
caligraphic_H MULOP_tensor_product caligraphic_L
is an isometry in fdhilb
```

source: `definition/1e4a1aea317bbf363c5314fb25eaf72c8a350a1007bb8aafc542e188405b93d5.txt`

Same definition without math lexemes (nomath data, single sentence, linebreaks for readability):

```
a directed quantum turing automaton is a quadruple
where and are finite dimensional hilbert spaces over the complex field and
is an isometry in fdhilb
```

nomath source: `definition/35b170bae4259a5c430846116142d4e4a45097e52daf818b78ea378d94d14a21.txt`

```
@MISC{SML:statement-classification:08.2018,
author = {Deyan Ginev},
title = {Statement classification dataset, 10.5 million plain-text paragraphs from {arXMLiv:08.2018}},
howpublished = {\url{https://sigmathling.kwarc.info/resources/arxmliv-statements-082018/}},
note = {SIGMathLing -- Special Interest Group on Math Linguistics},
year = 2019}
```

```
@online{SML:statement-classification:08.2018,
author = {Deyan Ginev},
title = {Statement classification dataset, 10.5 million plain-text paragraphs from {arXMLiv:08.2018}},
url = {https://sigmathling.kwarc.info/resources/arxmliv-statements-082018/},
note = {SIGMathLing -- Special Interest Group on Math Linguistics},
year = 2019}
```

```
%0 Generic
%T Statement classification dataset, 10.5 million plain-text paragraphs from {arXMLiv:08.2018}
%A Ginev, Deyan
%D 2019
%I hosted at https://sigmathling.kwarc.info/resources/arxmliv-statements-082018/
%F SML:statement-classification:08.2018b
%O SIGMathLing – Special Interest Group on Math Linguistics
```

Download link (SIGMathLing members only)

statement class |
frequency |
frequency (nomath) |
---|---|---|

abstract | 1,030,774 | 1,030,691 |

acknowledgement | 162,230 | 162,220 |

affirmation | 36 | 22 |

answer | 40 | 39 |

assumption | 29,577 | 26,890 |

bound | 47 | 37 |

case | 3,256 | 2,208 |

claim | 89,737 | 75,778 |

comment | 325 | 322 |

conclusion | 284,585 | 284,536 |

condition | 3,950 | 3,508 |

conjecture | 44,893 | 41,780 |

constraint | 753 | 731 |

convention | 2,176 | 2,160 |

corollary | 436,768 | 402,728 |

criterion | 236 | 219 |

definition | 686,717 | 667,797 |

demonstration | 23,043 | 22,842 |

discussion | 116,650 | 116,643 |

example | 295,152 | 289,005 |

exercise | 404 | 404 |

expansion | 5 | 2 |

expectation | 13 | 13 |

experiment | 154 | 153 |

explanation | 16 | 16 |

fact | 17,737 | 16,473 |

hint | 9 | 9 |

introduction | 688,530 | 688,187 |

issue | 41 | 28 |

keywords | 1,565 | 1,565 |

lemma | 1,320,646 | 1,162,559 |

method | 50,968 | 50,947 |

notation | 16,611 | 16,077 |

note | 4,462 | 4,415 |

notice | 4 | 4 |

observation | 18,776 | 18,013 |

overview | 11,279 | 11,277 |

principle | 236 | 232 |

problem | 30,369 | 29,221 |

proof | 2,125,750 | 2,096,644 |

proposition | 829,068 | 763,268 |

question | 27,240 | 26,673 |

relatedwork | 26,300 | 26,299 |

remark | 639,038 | 635,180 |

result | 239,905 | 239,639 |

rule | 775 | 712 |

solution | 163 | 144 |

step | 6,910 | 6,536 |

summary | 117 | 117 |

theorem | 1,287,653 | 1,212,044 |