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The dataset generation failed
Error code: DatasetGenerationError
Exception: CastError
Message: Couldn't cast
pdf: string
page: int64
id: string
type: string
max_diffs: int64
checked: string
url: string
text: string
case_sensitive: bool
first_n: int64
last_n: int64
check_disallowed_characters: bool
math: string
to
{'pdf': Value('string'), 'url': Value('string'), 'page': Value('int64'), 'id': Value('string'), 'type': Value('string'), 'max_diffs': Value('int64'), 'checked': Value('string'), 'math': Value('string')}
because column names don't match
Traceback: Traceback (most recent call last):
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1872, in _prepare_split_single
for key, table in generator:
^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/packaged_modules/json/json.py", line 260, in _generate_tables
self._cast_table(pa_table, json_field_paths=json_field_paths),
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/packaged_modules/json/json.py", line 120, in _cast_table
pa_table = table_cast(pa_table, self.info.features.arrow_schema)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/table.py", line 2272, in table_cast
return cast_table_to_schema(table, schema)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/table.py", line 2218, in cast_table_to_schema
raise CastError(
datasets.table.CastError: Couldn't cast
pdf: string
page: int64
id: string
type: string
max_diffs: int64
checked: string
url: string
text: string
case_sensitive: bool
first_n: int64
last_n: int64
check_disallowed_characters: bool
math: string
to
{'pdf': Value('string'), 'url': Value('string'), 'page': Value('int64'), 'id': Value('string'), 'type': Value('string'), 'max_diffs': Value('int64'), 'checked': Value('string'), 'math': Value('string')}
because column names don't match
The above exception was the direct cause of the following exception:
Traceback (most recent call last):
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1347, in compute_config_parquet_and_info_response
parquet_operations = convert_to_parquet(builder)
^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 980, in convert_to_parquet
builder.download_and_prepare(
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 884, in download_and_prepare
self._download_and_prepare(
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 947, in _download_and_prepare
self._prepare_split(split_generator, **prepare_split_kwargs)
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1739, in _prepare_split
for job_id, done, content in self._prepare_split_single(
^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1922, in _prepare_split_single
raise DatasetGenerationError("An error occurred while generating the dataset") from e
datasets.exceptions.DatasetGenerationError: An error occurred while generating the datasetNeed help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.
pdf string | url string | page int64 | id string | type string | max_diffs int64 | checked string | math string |
|---|---|---|---|---|---|---|---|
arxiv_math/2503.04048_pg46.pdf | https://arxiv.org/pdf/2503.04048 | 1 | 2503.04048_pg46_math_000 | math | 0 | null | {\mathcal{V}}(\psi_m)\rightarrow +\infty |
arxiv_math/2503.07228_pg12.pdf | https://arxiv.org/pdf/2503.07228 | 1 | 2503.07228_pg12_math_000 | math | 0 | null | 0 \leq k \leq 2^{N}-1 |
arxiv_math/2503.04993_pg18.pdf | https://arxiv.org/pdf/2503.04993 | 1 | 2503.04993_pg18_math_001 | math | 0 | null | \frac{d}{d\epsilon} J_1(u_1 + \epsilon v_1, u_2) \Big|_{\epsilon=0} |
arxiv_math/2503.04993_pg18.pdf | https://arxiv.org/pdf/2503.04993 | 1 | 2503.04993_pg18_math_002 | math | 0 | verified | \frac{d}{d\epsilon} J_1(u_1 + \epsilon v_1, u_2) \Big|_{\epsilon=0}=I_1 + I_2 |
arxiv_math/2503.06865_pg3.pdf | https://arxiv.org/pdf/2503.06865 | 1 | 2503.06865_pg3_math_000 | math | 0 | null | F(q,r)=\gamma _{J\nu (q)}(r) |
arxiv_math/2503.06865_pg3.pdf | https://arxiv.org/pdf/2503.06865 | 1 | 2503.06865_pg3_math_001 | math | 0 | null | F:N\times \mathbb{R}\rightarrow \mathbb{C}H^{2} |
arxiv_math/2503.06865_pg3.pdf | https://arxiv.org/pdf/2503.06865 | 1 | 2503.06865_pg3_math_002 | math | 0 | null | H^{2}\left( -4\right) |
arxiv_math/2503.06865_pg3.pdf | https://arxiv.org/pdf/2503.06865 | 1 | 2503.06865_pg3_math_003 | math | 0 | null | B(\gamma _{J\nu (p)}(-t))=\gamma _{J\nu (p)}(t)% \text{.} |
arxiv_math/2503.09550_pg2.pdf | https://arxiv.org/pdf/2503.09550 | 1 | 2503.09550_pg2_math_000 | math | 0 | null | \{f_j:X_n \rightarrow \mathbb{R}\} |
arxiv_math/2503.09550_pg2.pdf | https://arxiv.org/pdf/2503.09550 | 1 | 2503.09550_pg2_math_003 | math | 0 | null | -1<\beta_{\vert X \vert} \leq \ldots \leq \beta_2< \beta_1=1 |
arxiv_math/2503.08077_pg42.pdf | https://arxiv.org/pdf/2503.08077 | 1 | 2503.08077_pg42_math_000 | math | 0 | null | \{ \tfrac{-1}{2} , 0 , \tfrac{+1}{2} \} |
arxiv_math/2503.04045_pg2.pdf | https://arxiv.org/pdf/2503.04045 | 1 | 2503.04045_pg2_math_000 | math | 0 | null | k\geq k_{\varepsilon} |
arxiv_math/2503.05614_pg12.pdf | https://arxiv.org/pdf/2503.05614 | 1 | 2503.05614_pg12_math_000 | math | 0 | null | R\Gamma_{\text{global}}(E, \mathcal{D}) \simeq R\text{Hom}(R\Gamma_{\text{global}}(E, \mathcal{D}), \mathbb{Q}/\mathbb{Z}(1))[1] |
arxiv_math/2503.05614_pg12.pdf | https://arxiv.org/pdf/2503.05614 | 1 | 2503.05614_pg12_math_001 | math | 0 | verified | C^\bullet(E) \simeq R\text{Hom}(C^\bullet(E), \mathbb{Q}/\mathbb{Z}(1))[1] |
arxiv_math/2503.05614_pg12.pdf | https://arxiv.org/pdf/2503.05614 | 1 | 2503.05614_pg12_math_002 | math | 0 | null | \Lambda(E, s) = \varepsilon_E \cdot \Lambda(E, 2 - s) |
arxiv_math/2503.05614_pg12.pdf | https://arxiv.org/pdf/2503.05614 | 1 | 2503.05614_pg12_math_003 | math | 0 | null | P, Q \in E(\mathbb{Q}) |
arxiv_math/2503.05614_pg12.pdf | https://arxiv.org/pdf/2503.05614 | 1 | 2503.05614_pg12_math_004 | math | 0 | null | E(\mathbb{Q})/E(\mathbb{Q})_{\text{tors}} |
arxiv_math/2503.05614_pg12.pdf | https://arxiv.org/pdf/2503.05614 | 1 | 2503.05614_pg12_math_005 | math | 0 | null | R\Gamma(\mathbb{Q}_v, \mathcal{D}_v) \simeq R\text{Hom}(R\Gamma(\mathbb{Q}_v, \mathcal{D}_v), \mathbb{Q}/\mathbb{Z}(1))[1] |
arxiv_math/2503.05360_pg2.pdf | https://arxiv.org/pdf/2503.05360 | 1 | 2503.05360_pg2_math_003 | math | 0 | null | \vdash \phi \quad \text{iff} \quad M \vdash g \tag{\text{$\dagger$}} |
arxiv_math/2503.05360_pg2.pdf | https://arxiv.org/pdf/2503.05360 | 1 | 2503.05360_pg2_math_005 | math | 0 | null | \chi = \chi_1 \land \chi_2 |
arxiv_math/2503.08031_pg36.pdf | https://arxiv.org/pdf/2503.08031 | 1 | 2503.08031_pg36_math_001 | math | 0 | verified | h(x,x') = \sum_{k=1}^{K} \phi_k(x)\phi_k(x') |
arxiv_math/2503.08031_pg36.pdf | https://arxiv.org/pdf/2503.08031 | 1 | 2503.08031_pg36_math_002 | math | 0 | null | \Sigma\in \mathbb{R}^{K\times K} |
arxiv_math/2503.08031_pg36.pdf | https://arxiv.org/pdf/2503.08031 | 1 | 2503.08031_pg36_math_004 | math | 0 | null | h: \mathbb{R}^p \times \mathbb{R}^p \to \mathbb{R} |
arxiv_math/2503.08031_pg36.pdf | https://arxiv.org/pdf/2503.08031 | 1 | 2503.08031_pg36_math_005 | math | 0 | null | \phi_1,\dots,\phi_K:\mathbb{R}^p\to\mathbb{R} |
arxiv_math/2503.08031_pg36.pdf | https://arxiv.org/pdf/2503.08031 | 1 | 2503.08031_pg36_math_006 | math | 0 | null | \phi(X_1) = (\phi_1(X_1),\ldots,\phi_{K}(X_1)) |
arxiv_math/2503.05717_pg14.pdf | https://arxiv.org/pdf/2503.05717 | 1 | 2503.05717_pg14_math_000 | math | 0 | null | \beta=0, \,-10, \,-20, \,-30 |
arxiv_math/2503.05717_pg14.pdf | https://arxiv.org/pdf/2503.05717 | 1 | 2503.05717_pg14_math_002 | math | 0 | null | \sqrt{2 \pi r} T_{22} |
arxiv_math/2503.05717_pg14.pdf | https://arxiv.org/pdf/2503.05717 | 1 | 2503.05717_pg14_math_003 | math | 0 | null | 10^4\text{mm}^{1/2}\text{Pa} |
arxiv_math/2503.04108_pg45.pdf | https://arxiv.org/pdf/2503.04108 | 1 | 2503.04108_pg45_math_000 | math | 0 | null | \mathfrak{g}\supset \mathfrak{g}^{\prime} |
arxiv_math/2503.04108_pg45.pdf | https://arxiv.org/pdf/2503.04108 | 1 | 2503.04108_pg45_math_001 | math | 0 | null | \mathfrak{su}(4) \supset \mathfrak{su}(2) \times \mathfrak{su}(2) |
arxiv_math/2503.08522_pg23.pdf | https://arxiv.org/pdf/2503.08522 | 1 | 2503.08522_pg23_math_000 | math | 0 | null | \|v\|_2 \leq \|v\|_q |
arxiv_math/2503.08675_pg30.pdf | https://arxiv.org/pdf/2503.08675 | 1 | 2503.08675_pg30_math_000 | math | 0 | null | \underline r(t)-\ell_t |
arxiv_math/2503.08675_pg30.pdf | https://arxiv.org/pdf/2503.08675 | 1 | 2503.08675_pg30_math_001 | math | 0 | null | \liminf_{i\to\infty}d(i)\geq R |
arxiv_math/2503.08675_pg30.pdf | https://arxiv.org/pdf/2503.08675 | 1 | 2503.08675_pg30_math_002 | math | 0 | null | K_0:=C(\lambda^*+R)^{-1} |
arxiv_math/2503.05752_pg4.pdf | https://arxiv.org/pdf/2503.05752 | 1 | 2503.05752_pg4_math_000 | math | 0 | null | \varepsilon\gtrsim0.5 |
arxiv_math/2503.04620_pg35.pdf | https://arxiv.org/pdf/2503.04620 | 1 | 2503.04620_pg35_math_000 | math | 0 | null | \log(z) = \log|z| + i(\arg(z) + 2\pi m), \forall m \in \mathbb{Z} |
arxiv_math/2503.04620_pg35.pdf | https://arxiv.org/pdf/2503.04620 | 1 | 2503.04620_pg35_math_001 | math | 0 | null | B_{kj} = \begin{cases} \delta_{k, j-1}, & \text{for } k = 1, 2, \ldots, 2r-1 ,\\ -\dfrac{h_{j-1}}{\tilde{a}_r - i \tilde{b}_r}, & \text{for } k = 2r, \end{cases} |
arxiv_math/2503.04620_pg35.pdf | https://arxiv.org/pdf/2503.04620 | 1 | 2503.04620_pg35_math_002 | math | 0 | null | x_t = (\arg(z_t) + 2\pi m) - i \log|z_t|, \quad t = 1, 2, \ldots, 2r, \quad \forall m \in \mathbb{Z} |
arxiv_math/2503.04620_pg35.pdf | https://arxiv.org/pdf/2503.04620 | 1 | 2503.04620_pg35_math_003 | math | 0 | null | \mathbf{B} = \begin{bmatrix} 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \\ -\frac{\tilde{a}_2 + i \tilde{b}_2}{\tilde{a}_2 - i \tilde{b}_2} & -\frac{\tilde{a}_1 + i \tilde{b}_1}{\tilde{a}_2 - i \tilde{b}_2} & 0 & - \frac{\tilde{a}_1 - i \tilde{b}_1}{\tilde{a}_2 - i \tilde{b}_2} \end{bmatrix} |
arxiv_math/2503.04620_pg35.pdf | https://arxiv.org/pdf/2503.04620 | 1 | 2503.04620_pg35_math_004 | math | 0 | null | h_j = \begin{cases} \tilde{a}_{r-j} + i \tilde{b}_{r-j}, & j = 0, 1, \ldots, r-1 ,\\ 2 \tilde{a}_0, & j = r, \\ \tilde{a}_{j-r} - i \tilde{b}_{j-r}, & j = r+1, r+2, \ldots, 2r. \end{cases} |
arxiv_math/2503.04620_pg35.pdf | https://arxiv.org/pdf/2503.04620 | 1 | 2503.04620_pg35_math_005 | math | 0 | null | \tilde{a}_k = \begin{cases} 0, & \text{for } k = 0\\ b_k k, & \text{for } k = 1, 2, \ldots, r \end{cases} \quad \text{and} \quad \tilde{b}_k = -a_k k, \text{for } k = 1, 2, \ldots, r |
arxiv_math/2503.04620_pg35.pdf | https://arxiv.org/pdf/2503.04620 | 1 | 2503.04620_pg35_math_006 | math | 0 | null | x_t = \arg(z_t) + 2\pi m, \quad \text{when} \quad |z_t| = 1 |
arxiv_math/2503.05276_pg14.pdf | https://arxiv.org/pdf/2503.05276 | 1 | 2503.05276_pg14_math_000 | math | 0 | null | V(s) \approx \hat{v}_w(s) \coloneqq w^\intercal \psi(s) |
arxiv_math/2503.08351_pg5.pdf | https://arxiv.org/pdf/2503.08351 | 1 | 2503.08351_pg5_math_000 | math | 0 | null | 3<p<\infty, ~1<q<\infty |
arxiv_math/2503.08351_pg5.pdf | https://arxiv.org/pdf/2503.08351 | 1 | 2503.08351_pg5_math_001 | math | 0 | null | S_F: U(b)\subset L^q([0,b], H_p)\multimap L^q([0,b],L^p(D)^3) |
arxiv_math/2503.08351_pg5.pdf | https://arxiv.org/pdf/2503.08351 | 1 | 2503.08351_pg5_math_002 | math | 0 | verified | F(t,\cdot): H_p\multimap L^p(D)^3 |
arxiv_math/2503.08351_pg5.pdf | https://arxiv.org/pdf/2503.08351 | 1 | 2503.08351_pg5_math_003 | math | 0 | verified | F: [0,a]\times H_p \multimap L^p(D)^3 |
arxiv_math/2503.08351_pg5.pdf | https://arxiv.org/pdf/2503.08351 | 1 | 2503.08351_pg5_math_004 | math | 0 | null | \eta_F:[0,\infty)\to [0,\infty) |
arxiv_math/2503.08351_pg5.pdf | https://arxiv.org/pdf/2503.08351 | 1 | 2503.08351_pg5_math_005 | math | 0 | null | S_F(u)=\{f\in L^q([0,b],L^p(D)^3): f(t)\in F(t,u(t)),~\text{a.a.}~t\in [0,b]\} |
arxiv_math/2503.08351_pg5.pdf | https://arxiv.org/pdf/2503.08351 | 1 | 2503.08351_pg5_math_006 | math | 0 | null | p\in L^q([0,b], W^{1,p}(D)^3) |
arxiv_math/2503.08351_pg5.pdf | https://arxiv.org/pdf/2503.08351 | 1 | 2503.08351_pg5_math_007 | math | 0 | null | (D,f_1,f_2)\in \Sigma\times K\times K |
arxiv_math/2503.08351_pg5.pdf | https://arxiv.org/pdf/2503.08351 | 1 | 2503.08351_pg5_math_008 | math | 0 | null | F: Z\multimap L^1(I, X) |
arxiv_math/2503.08351_pg5.pdf | https://arxiv.org/pdf/2503.08351 | 1 | 2503.08351_pg5_math_009 | math | 0 | null | f\in L^q([0,b], L^p(D)^3) |
arxiv_math/2503.09178_pg16.pdf | https://arxiv.org/pdf/2503.09178 | 1 | 2503.09178_pg16_math_000 | math | 0 | null | \left\{ \begin{aligned} \varphi(0,\mu) &= \mu^{2} + const, \quad \text{if } \mu > 0, \\ \varphi(1,\mu) &= \mu^{2} + const, \quad \text{if } \mu < 0. \end{aligned} \right. |
arxiv_math/2503.09178_pg16.pdf | https://arxiv.org/pdf/2503.09178 | 1 | 2503.09178_pg16_math_001 | math | 0 | null | \varphi(x,\mu) = \mu^{2}\cos^{4}\pi x + const |
arxiv_math/2503.09178_pg16.pdf | https://arxiv.org/pdf/2503.09178 | 1 | 2503.09178_pg16_math_002 | math | 0 | null | s(x,\mu) = -4 \pi \mu^{3} \cos^{3}\pi x \sin\pi x + \Sigma_{t}(\mu^{2}\cos^{4}\pi x + const) - \Sigma_{s}(const + \frac{\cos^{4}\pi x}{3}) |
arxiv_math/2503.09178_pg16.pdf | https://arxiv.org/pdf/2503.09178 | 1 | 2503.09178_pg16_math_003 | math | 0 | null | \Sigma_{t} = 22000, \quad \Sigma_{s} = 1 |
arxiv_math/2503.09178_pg16.pdf | https://arxiv.org/pdf/2503.09178 | 1 | 2503.09178_pg16_math_004 | math | 0 | null | \Vert u-u_{N}^{M} \Vert_{L^{2}} |
arxiv_math/2503.06379_pg4.pdf | https://arxiv.org/pdf/2503.06379 | 1 | 2503.06379_pg4_math_000 | math | 0 | null | f:\mathcal{P}\rightarrow\mathcal{Q} |
arxiv_math/2503.06379_pg4.pdf | https://arxiv.org/pdf/2503.06379 | 1 | 2503.06379_pg4_math_001 | math | 0 | null | f : (\mathcal{P},\leq_\mathcal{P})\rightarrow(\mathcal{Q},\leq_\mathcal{Q}) |
arxiv_math/2503.06379_pg4.pdf | https://arxiv.org/pdf/2503.06379 | 1 | 2503.06379_pg4_math_002 | math | 0 | null | |f|, |g|: |\mathcal{P}| \to |\mathcal{Q}| |
arxiv_math/2503.06379_pg4.pdf | https://arxiv.org/pdf/2503.06379 | 1 | 2503.06379_pg4_math_004 | math | 0 | null | |f| : |\mathcal{P}|\rightarrow|\mathcal{Q}| |
arxiv_math/2503.06379_pg4.pdf | https://arxiv.org/pdf/2503.06379 | 1 | 2503.06379_pg4_math_007 | math | 0 | null | f \circ g \simeq \text{Id}_Y |
arxiv_math/2503.06379_pg4.pdf | https://arxiv.org/pdf/2503.06379 | 1 | 2503.06379_pg4_math_008 | math | 0 | null | g \circ f \simeq \text{Id}_X |
arxiv_math/2503.06379_pg4.pdf | https://arxiv.org/pdf/2503.06379 | 1 | 2503.06379_pg4_math_010 | math | 0 | null | f(x) \leq_\mathcal{Q} f(y) |
arxiv_math/2503.07251_pg28.pdf | https://arxiv.org/pdf/2503.07251 | 1 | 2503.07251_pg28_math_000 | math | 0 | null | \tau_{1},\ldots, \tau_{L^{G}} |
arxiv_math/2503.07251_pg28.pdf | https://arxiv.org/pdf/2503.07251 | 1 | 2503.07251_pg28_math_001 | math | 0 | null | \Delta \tau=\tau_{i+1}-\tau_{i} |
arxiv_math/2503.07251_pg28.pdf | https://arxiv.org/pdf/2503.07251 | 1 | 2503.07251_pg28_math_002 | math | 0 | null | G_l, l=1\ldots,L^{G}=8 |
arxiv_math/2503.03827_pg10.pdf | https://arxiv.org/pdf/2503.03827 | 1 | 2503.03827_pg10_math_000 | math | 0 | null | I = \langle f(x,y),~g(x,y) \rangle |
arxiv_math/2503.03827_pg10.pdf | https://arxiv.org/pdf/2503.03827 | 1 | 2503.03827_pg10_math_001 | math | 0 | null | \vec{a}_1 = (0, \frac{n}{2}), \quad \vec{a}_2 = (1, \gamma), \quad \text{with } 0 \leq \gamma < \frac{n}{2} |
arxiv_math/2503.03827_pg10.pdf | https://arxiv.org/pdf/2503.03827 | 1 | 2503.03827_pg10_math_002 | math | 0 | null | [[254, 28, 14 \leq d \leq 20]] |
arxiv_math/2503.08770_pg37.pdf | https://arxiv.org/pdf/2503.08770 | 1 | 2503.08770_pg37_math_001 | math | 0 | null | M_{z+w}\otimes N_w\otimes P_0 |
arxiv_math/2503.08770_pg37.pdf | https://arxiv.org/pdf/2503.08770 | 1 | 2503.08770_pg37_math_002 | math | 0 | null | M_{z+w}\otimes (N_w\otimes P_0) |
arxiv_math/2503.08770_pg37.pdf | https://arxiv.org/pdf/2503.08770 | 1 | 2503.08770_pg37_math_003 | math | 0 | null | (1\otimes \Delta_w) \Delta_{z+w}=(\Delta_z\otimes 1)\Delta_w |
arxiv_math/2503.08770_pg37.pdf | https://arxiv.org/pdf/2503.08770 | 1 | 2503.08770_pg37_math_004 | math | 0 | null | (M_z\otimes N)_w\otimes P_0 |
arxiv_math/2503.08646_pg17.pdf | https://arxiv.org/pdf/2503.08646 | 1 | 2503.08646_pg17_math_000 | math | 0 | null | \mu_{u^\perp}+\mu_{v^\perp}=0 |
arxiv_math/2503.08646_pg17.pdf | https://arxiv.org/pdf/2503.08646 | 1 | 2503.08646_pg17_math_001 | math | 0 | null | w\in \mathrm{T}_p\mu^{-1}(0)/\mathrm{T}_pL |
arxiv_math/2503.08646_pg17.pdf | https://arxiv.org/pdf/2503.08646 | 1 | 2503.08646_pg17_math_002 | math | 0 | null | \mathrm{T}_p\mu^{-1}(0) |
arxiv_math/2503.08646_pg17.pdf | https://arxiv.org/pdf/2503.08646 | 1 | 2503.08646_pg17_math_003 | math | 0 | null | {\mathrm{Span}\left(\Bigl\{ u_i \Bigr\}_{i=2}^n\right)=\mathrm{Span}\left(\Bigl\{ v_i^\ast \Bigr\}_{i=2}^n\right)} |
arxiv_math/2503.08646_pg17.pdf | https://arxiv.org/pdf/2503.08646 | 1 | 2503.08646_pg17_math_004 | math | 0 | null | \mathrm{T}_p\mu^{-1}(0)\simeq \mathrm{T}_pL |
arxiv_math/2503.08646_pg17.pdf | https://arxiv.org/pdf/2503.08646 | 1 | 2503.08646_pg17_math_006 | math | 0 | null | d\mu[v]=\omega(\bullet, v) |
arxiv_math/2503.08646_pg17.pdf | https://arxiv.org/pdf/2503.08646 | 1 | 2503.08646_pg17_math_007 | math | 0 | null | \mu_u^\perp=\sum_{i=2}^n\,\left(u_i\otimes u_i^\dagger-u_i^\ast \otimes u_i^t\right) |
arxiv_math/2503.08646_pg17.pdf | https://arxiv.org/pdf/2503.08646 | 1 | 2503.08646_pg17_math_008 | math | 0 | null | (w, u^\perp)\mapsto \Bigl(u, v, w\Bigr) |
arxiv_math/2503.08646_pg17.pdf | https://arxiv.org/pdf/2503.08646 | 1 | 2503.08646_pg17_math_009 | math | 0 | null | \mathrm{Span}(\mathrm{T}_pL, w) |
arxiv_math/2503.09588_pg25.pdf | https://arxiv.org/pdf/2503.09588 | 1 | 2503.09588_pg25_math_000 | math | 0 | null | \overline{\alpha}\colon S_0\to S_1 |
arxiv_math/2503.09588_pg25.pdf | https://arxiv.org/pdf/2503.09588 | 1 | 2503.09588_pg25_math_002 | math | 0 | null | \iota_1\circ c' = \iota_0\circ c\circ \alpha^{-1} |
arxiv_math/2503.09588_pg25.pdf | https://arxiv.org/pdf/2503.09588 | 1 | 2503.09588_pg25_math_004 | math | 0 | null | c_{ac}\colon X\to S_{ac} |
arxiv_math/2503.09588_pg25.pdf | https://arxiv.org/pdf/2503.09588 | 1 | 2503.09588_pg25_math_005 | math | 0 | null | c_{bd}\colon X\to S_{bd} |
arxiv_math/2503.09588_pg25.pdf | https://arxiv.org/pdf/2503.09588 | 1 | 2503.09588_pg25_math_006 | math | 0 | null | \{H_1,\dots, H_{k-1}, K_k\} |
arxiv_math/2503.09588_pg25.pdf | https://arxiv.org/pdf/2503.09588 | 1 | 2503.09588_pg25_math_007 | math | 0 | null | c_{ab}\colon X\to S_{ab} |
arxiv_math/2503.09588_pg25.pdf | https://arxiv.org/pdf/2503.09588 | 1 | 2503.09588_pg25_math_008 | math | 0 | null | c'\circ\alpha = \overline{\alpha} \circ c |
arxiv_math/2503.09588_pg25.pdf | https://arxiv.org/pdf/2503.09588 | 1 | 2503.09588_pg25_math_009 | math | 0 | null | c_{cd}\colon X\to S_{cd} |
arxiv_math/2503.04448_pg10.pdf | https://arxiv.org/pdf/2503.04448 | 1 | 2503.04448_pg10_math_005 | math | 0 | null | d(X_1,X_2) + d(X_2,X_1) = 1 |
arxiv_math/2503.04448_pg10.pdf | https://arxiv.org/pdf/2503.04448 | 1 | 2503.04448_pg10_math_006 | math | 0 | null | \lambda_i/(\sum_j \lambda_j) |
arxiv_math/2503.05358_pg8.pdf | https://arxiv.org/pdf/2503.05358 | 1 | 2503.05358_pg8_math_000 | math | 0 | null | v_{1,{\max}} = \sqrt{C3} + v^E = \sqrt{C3} + \sqrt {\frac{\mu^S}{r^E}} |
arxiv_math/2503.05358_pg8.pdf | https://arxiv.org/pdf/2503.05358 | 1 | 2503.05358_pg8_math_001 | math | 0 | null | \cos(\theta_{12}) = \frac{1}{e} \left( \frac{p}{r^F} - 1 \right) |
arxiv_math/2503.05358_pg8.pdf | https://arxiv.org/pdf/2503.05358 | 1 | 2503.05358_pg8_math_002 | math | 0 | null | l^F_2 = \Omega^F + \omega^F + n^F (t_2 - t^F_p) |
arxiv_math/2503.05358_pg8.pdf | https://arxiv.org/pdf/2503.05358 | 1 | 2503.05358_pg8_math_003 | math | 0 | null | E_{\max} = \frac{v^2_{1,{\max}}}{2} - \frac{\mu^S}{r^E} \to a_{\max} = \frac{-\mu^S}{2E_{\max}} \to e_{max} = 1 - \frac{r^E}{a_{\max}} |
arxiv_math/2503.05358_pg8.pdf | https://arxiv.org/pdf/2503.05358 | 1 | 2503.05358_pg8_math_004 | math | 0 | null | a_{\min} = \frac{r^E + r^F}{2} \to e_{\min} = 1 - \frac{r^E}{a_{\min}} |
arxiv_math/2503.06716_pg12.pdf | https://arxiv.org/pdf/2503.06716 | 1 | 2503.06716_pg12_math_000 | math | 0 | null | d(u_k,\mathcal{M})\to L\in\left[0,\sqrt{\mu_{s,t}}\right] |
End of preview.
olmOCR-bench-1.5-preview
olmOCR-bench-1.5-preview is a preview follow up to the original olmOCR-bench that adds several new synthetic benchmark categories.
In addition to the original 1,403 PDF files, plus 7,010 unit test cases that were manually created as part of olmOCR-bench, this repo contains additional, synthetic tests designed to test difficult OCR scenarios. In all synthetic cases, we sample PDFs from the same distribution as in dolma3_mix-6T, then rerender them using Claude into clean sematic HTML following the olmOCR sythentic pipeline, and automatically extract test cases. In total, the benchmark now contains 28,770 test cases across 3,401 unique PDFs spanning 15 categories.
- Rotated, we sample 140 pdfs from the original olmOCR-bench and rotate their pages either 90, 180, or 270 degrees, so that you can easily test to see if your OCR model is rotation invariant.
- Blank Pages, we sample 102 blank or mostly blank documents and test that the model should output very little text for these pages. This tests for model hallucinations.
- Synthetic exact match, these tests consist of typos inserted into otherwise normal PDFs. We test for an exact text match, expecting a good OCR pipeline to be faithful to the text as written in the original document, even if there is an obvious typo.
- Synthetic footnotes, we sample documents with footnotes and check that those footnotes (subscripts and superscripts) get faithfully transcribed by an OCR tool.
- Synthetic formatting, we check that models apply bold, italic, and heading tags in the appropriate places in a document.
- Synthetic tables hard, we further synthetically augment tables to include extra rows and columns, and check that they are represented well.
- Synthetic general, a broad set of synthetically rendered documents testing all major OCR capabilities including text presence, reading order, tables, math, footnotes, and formatting.
- Synthetic dense, the same set of documents as
synthetic_general, except they have been augmented to have more densely layered text and features with smaller font sizes.
Quick links:
Table 1. Distribution of Test Classes by Document Source
| Document Source | Text Present | Text Absent | Reading Order | Table | Math | Footnote | Formatting | Total Tests | Unique PDFs |
|---|---|---|---|---|---|---|---|---|---|
| arXiv Math | - | - | - | - | 2,927 | - | - | 2,927 | 522 |
| Headers Footers | - | 753 | - | - | - | - | - | 760 | 266 |
| Long Tiny Text | 442 | - | - | - | - | - | - | 442 | 62 |
| Multi Column | - | - | 884 | - | - | - | - | 884 | 231 |
| Old Scans | 279 | 70 | 177 | - | - | - | - | 526 | 98 |
| Old Scans Math | - | - | - | - | 458 | - | - | 458 | 36 |
| Table Tests | - | - | - | 1,020 | - | - | - | 1,022 | 188 |
| Rotated - new | 65 | 83 | 89 | 91 | 387 | - | - | 716 | 140 |
| Blank Pages - new | - | - | - | - | - | - | - | 102 | 102 |
| Synthetic Exact Match - new | 863 | - | - | - | - | - | - | 1,354 | 491 |
| Synthetic Footnotes - new | - | - | - | - | - | 744 | - | 1,090 | 346 |
| Synthetic Formatting - new | - | - | - | - | - | - | 998 | 1,337 | 339 |
| Synthetic Tables Hard - new | 277 | 263 | 216 | 4,879 | - | 10 | 138 | 5,915 | 132 |
| Synthetic General - new | 1,360 | 317 | 1,021 | 530 | 129 | 102 | 466 | 4,152 | 227 |
| Synthetic Dense - new | 1,826 | 320 | 1,163 | 2,403 | 361 | 128 | 663 | 7,085 | 221 |
| Total | 5,112 | 1,806 | 3,550 | 8,923 | 4,262 | 984 | 2,265 | 28,770 | 3,401 |
Evaluation Criteria
- Text Presence: Checks if a short text segment (1–3 sentences) is correctly identified in the OCR output. Supports fuzzy matching and positional constraints (e.g., must appear in the first/last N characters). Case-sensitive by default.
- Text Absence: Ensures specified text (e.g., headers, footers, page numbers) is excluded. Supports fuzzy matching and positional constraints. Not case-sensitive.
- Natural Reading Order: Verifies the relative order of two text spans (e.g., headline before paragraph). Soft matching enabled; case-sensitive by default.
- Table Accuracy: Confirms that specific cell values exist in tables with correct neighboring relationships (e.g., value above/below another). Supports Markdown and HTML, though complex structures require HTML.
- Math Formula Accuracy: Detects the presence of a target equation by matching symbol layout (e.g., $\int$ to the left of $x$). Based on rendered bounding boxes and relative positioning.
- Formatting: Verifies that specific text appears with correct formatting (heading, bold, or italic). Extracts all formatted text from the output using Markdown and HTML patterns, then checks for fuzzy matches against the expected text.
- Footnote: Verifies that footnote markers appear correctly in the output. Checks for markers in Markdown (
[^1]), HTML (<sup>1</sup>), and Unicode superscript formats, with optional validation that specific text appears immediately before or after the marker. - Baseline: Ensures basic output quality — the page is not blank (contains alphanumeric characters), has no excessive n-gram repetition, and contains no disallowed character sets (e.g., CJK, emoji). Also used to verify that blank pages produce minimal output.
License
This dataset is licensed under ODC-BY-1.0. It is intended for research and educational use in accordance with AI2's Responsible Use Guidelines.
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