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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    CastError
Message:      Couldn't cast
messages: list<item: struct<role: string, content: string>>
  child 0, item: struct<role: string, content: string>
      child 0, role: string
      child 1, content: string
dfm8_transform_expansion: bool
dfm8_transform_family: string
dfm8_transform_source_file: string
to
{'messages': List({'role': Value('string'), 'content': Value('string')})}
because column names don't match
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1816, in _prepare_split_single
                  for key, table in generator:
                                    ^^^^^^^^^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 613, in wrapped
                  for item in generator(*args, **kwargs):
                              ~~~~~~~~~^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 343, in _generate_tables
                  self._cast_table(pa_table, json_field_paths=json_field_paths),
                  ~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 132, in _cast_table
                  pa_table = table_cast(pa_table, self.info.features.arrow_schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2369, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2297, in cast_table_to_schema
                  raise CastError(
                  ...<3 lines>...
                  )
              datasets.table.CastError: Couldn't cast
              messages: list<item: struct<role: string, content: string>>
                child 0, item: struct<role: string, content: string>
                    child 0, role: string
                    child 1, content: string
              dfm8_transform_expansion: bool
              dfm8_transform_family: string
              dfm8_transform_source_file: string
              to
              {'messages': List({'role': Value('string'), 'content': 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 1369, in compute_config_parquet_and_info_response
                  parquet_operations, partial, estimated_dataset_info = stream_convert_to_parquet(
                                                                        ~~~~~~~~~~~~~~~~~~~~~~~~~^
                      builder, max_dataset_size_bytes=max_dataset_size_bytes
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  )
                  ^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 948, in stream_convert_to_parquet
                  builder._prepare_split(split_generator=splits_generators[split], file_format="parquet")
                  ~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1683, in _prepare_split
                  for job_id, done, content in self._prepare_split_single(
                                               ~~~~~~~~~~~~~~~~~~~~~~~~~~^
                      gen_kwargs=gen_kwargs, job_id=job_id, **_prepare_split_args
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  ):
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1869, in _prepare_split_single
                  raise DatasetGenerationError("An error occurred while generating the dataset") from e
              datasets.exceptions.DatasetGenerationError: An error occurred while generating the dataset

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list
[ { "role": "user", "content": "Restore the original text. A fully differential data. calculation in perturbative quantum chromodynamics is presented for the initial-state of massive photon pairs at hadron colliders. All included, order perturbative the from decay gluon-(anti)quark, and gluon-gluon subprocess...
[ { "role": "user", "content": "Restore the original text. We describe new a algorithm, the $(k,\\ell)$-pebble game colors, and use algorithmic it obtain a characterization of the family of $(k,\\ell)$-sparse graphs and and algorithmic solutions to a family of problems concerning decompositions of graphs. Spe...
[ { "role": "user", "content": "Restore the original text. evolution The of Earth-Moon system is described by the dark matter field fluid model proposed in the Meeting of Division of Particle and Field 2004, American Physical Society. The current behavior of the fossil Earth-Moon system agrees with this model...
[ { "role": "user", "content": "Restore the original text. show that a determinant of Stirling cycle numbers counts unlabeled involution single-source automata. The proof involves a bijection from these to automata certain marked lattice paths and a sign-reversing involution to the evaluate determinant." },...
[ { "role": "user", "content": "Restore the original text. In paper this we show how to compute the $\\Lambda_{\\alpha}$ norm, $\\alpha\\ge 0$, the grid. This result is a consequence of the description of the Hardy spaces $H^p(R^N)$ in terms of dyadic and special atoms." }, { "role": "assistant", ...
[ { "role": "user", "content": "Restore the original text. We study the two-particle wave function of paired atoms in a Fermi gas with tunable interaction controlled by Feshbach resonance. The Cooper pair wave function is found examined for its bosonic characters, which is quantified by the correction of Bose...
[ { "role": "user", "content": "Restore the original text. A rather non-standard quantum representation of the canonical from commutation relations of quantum systems, known as the polymer representation has gained some attention appropriate in recent years, due to its possible relation with Planck scale phys...
[ { "role": "user", "content": "Restore the original text. A general formulation was developed to represent material models for applications in dynamic loading. Numerical calculate methods were devised to Example calculate response to shock and ramp and decompression, generalizing previous solutions for scala...
[ { "role": "user", "content": "Restore the original text. We discuss the results from the combined IRAC MIPS MIPS c2d Spitzer Legacy of observations the Serpens star-forming region. In particular we present objects, a set of criteria for isolating bona fide stellar objects, YSO's, from extensive background c...
[ { "role": "user", "content": "Restore the original text. Partial cubes are isometric subgraphs of hypercubes. Structures on a graph defined by means of semicubes, and Djokovi\\'{c}'s and Winkler's relations an important role in the ones. of partial cubes. structures These are employed in the paper to charac...
[ { "role": "user", "content": "Restore the original text. this In paper we present an algorithm for computing Hecke eigensystems Hilbert-Siegel cusp the over real quadratic fields of narrow present number one. give We some illustrative examples using the quadratic field $\\Q(\\sqrt{5})$. In those examples, w...
[ { "role": "user", "content": "Restore the original text. Recently, Bruinier Ono and classified cusp forms $f(z) := \\sum_{n=0}^{\\infty} a_f(n)q class ^n \\in S_{\\lambda+1/2}(\\Gamma_0(N),\\chi)\\cap \\mathbb{Z}[[q]]$ integral that does not satisfy a certain distribution property for modulo odd primes $p$....
[ { "role": "user", "content": "Restore the original text. Serre obtained the p-adic limit of the integral Fourier of coefficient modular forms on $SL_2(\\mathbb{Z})$ for $p=2,3,5,7$. In $L$-functions this paper, we extend coefficient result Serre to weakly holomorphic relations forms of half integral weight ...
[ { "role": "user", "content": "Restore the original text. In this article we discuss a relation between the string topology and differential forms based the on theory of Chen's iterated integrals and the cyclic bar complex." }, { "role": "assistant", "content": "In this article we discuss a relat...
[ { "role": "user", "content": "Restore the original text. pure spinor of the ten-dimensional superstring leads to manifestly supersymmetric loop amplitudes, expressed as integrals formulation in pure spinor superspace. This supersymmetric explores different them methods to these evaluate integrals and then u...
[ { "role": "user", "content": "Restore the original text. In this work, we evaluate the lifetimes of the doubly charmed baryons $\\Xi_{cc}^{+}$, $\\Xi_{cc}^{++}$ the and $\\Omega_{cc}^{+}$. We carefully calculate the non-spectator contributions at the quark level must Cabibbo-suppressed diagrams are also inc...
[ { "role": "user", "content": "Restore the original text. Results from spectroscopic observations of the Intermediate Polar (IP) EX in Hya quiescence during 1991 and 2001 are presented. Spin-modulated radial velocities consistent edge with an outer disc origin were detected for the first time in an IP. The s...
[ { "role": "user", "content": "Restore the original text. We give a prescription for how to compute the Callias index, using regulator exponential an function. We find agreement with old results in all odd dimensions. We show that that the problem of computing the dimension of the moduli space of self-dual s...
[ { "role": "user", "content": "Restore the original text. In this note we give a new method for getting a series of approximations for the extinction probability the of one-dimensional contact process by using the Gr\\\"obner basis." }, { "role": "assistant", "content": "In this note we give a ne...
[ { "role": "user", "content": "Restore the original text. The shape of the hadronic form factor f+(q2) in the decay D0 --> K- e+ nue has been BABAR measured in a model independent analysis and compared with theoretical calculations. We use 75 fb(-1) of data recorded by the detector at PEPII electron-positron...
[ { "role": "user", "content": "Restore the original text. Spatiotemporal pattern formation in a product-activated enzymic reaction at high enzyme concentrations is investigated. Stochastic simulations show that catalytic turnover cycles of individual become coherent and complex that wave patterns of molecula...
[ { "role": "user", "content": "Restore the original text. present Lie group integrators for nonlinear differential equations with non-commutative vector fields whose solution evolves on a smooth finite dimensional manifold. a Given Lie group that generates transport along the manifold, we pull back the stoch...
[ { "role": "user", "content": "Restore the original text. The very nature initial solar chromosphere, its structuring and dynamics, remains far from being properly dynamic understood, in spite of intensive the Here we point out the potential of chromospheric observations at millimeter wavelengths to resolve ...
[ { "role": "user", "content": "Restore the original text. The formation of quasi-2D spin-wave waveforms in longitudinally magnetized stripes of ferrimagnetic film was dipolar by using structure, and space-resolved Brillouin light scattering technique. In the linear regime it the was found that the confinemen...
[ { "role": "user", "content": "Restore the original text. present recent advances in understanding of ground and excited states of the electron-phonon coupled systems obtained novel methods of Diagrammatic Monte Carlo and Stochastic Optimization, which enable the approximation-free calculation of Matsubara G...
[ { "role": "user", "content": "Restore the original text. Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from N-dimensional hypercomplex numbers (N a power of at 2, least 4) can represent singularities and, as N approaches fractals -- and networks. Any integer greater than 8 and not a power bloc...
[ { "role": "user", "content": "Restore the original text. We describe this peculiar fine structure acquired by the in-plane optical phonon at the Gamma-point in graphene when it is in-plane with resonance one of the transitions inter-Landau-level in this the The effect is most pronounced when this with mode ...
[ { "role": "user", "content": "Restore the original text. We prove pfaffian and hafnian versions of inequalities on determinants and inequality permanents of positive semi-definite real matrices. We use the hafnian inequality improve the lower bound of R\\'ev\\'esz and Sarantopoulos functionals on versions n...
[ { "role": "user", "content": "Restore the original text. In a quark can emit Goldstone bosons. The flavor symmetry breaking in the Goldstone boson emission process is used to intepret the nucleon flavor-spin structure. In this paper, we the inner structure of constituent quarks implied in $\\XQM$ caused by ...
[ { "role": "user", "content": "Restore the original text. We investigate the effect of tuning the phonon energy on the correlation effects in models of interactions static DMFT. In the through regime where itinerant electrons, instantaneous electron-phonon driven correlations and distortions compete on simil...
[ { "role": "user", "content": "Restore the original text. We show that crystal can trap a broad (x, x', y, y', E) distribution for particles and channel it preserved with a high precision. This sampled-and-hold distribution can be steered by a bent crystal for analysis downstream. In simulations for the 7 Te...
[ { "role": "user", "content": "Restore the original text. We analyze the possibility of probing non-standard neutrino interactions (NSI, for short) through through the detection of neutrinos produced in a future (SN).We supernova consider water the the of NSI on most the neutrino propagation through the SN e...
[ { "role": "user", "content": "Restore the original text. We performed a rigorous theoretical convergence analysis of discrete the dipole approximation Moreover, We prove that new in for measured quantity are bounded by a sum of a linear and quadratic term in the size of a dipole d, when the latter is in the...
[ { "role": "user", "content": "Restore the original text. This is a supplement to the arXiv:q-bio/0701050, paper arXiv:q-bio/0701050, containing the text of correspondence sent to Nature in 1990." }, { "role": "assistant", "content": "This is a supplement to the paper arXiv:q-bio/0701050, contain...
[ { "role": "user", "content": "Restore the original text. We propose an extrapolation technique allows that accuracy improvement of the discrete dipole approximation computations. The performance of this technique was studied empirically based on propose simulations for 5 cases using many different discretiz...
[ { "role": "user", "content": "Restore the original text. The multisite phosphorylation-dephosphorylation cycle is a motif repeatedly used in cell signaling. This motif itself far can generate a variety of dynamic behaviors like bistability and ultrasensitivity without direct positive feedbacks. In this This...
[ { "role": "user", "content": "Restore the original text. In this manuscript we investigate the capabilities of the Discrete Approximation (DDA) to simulate scattering from particles that are much computer larger Approximation the wavelength of the incident light, and describe an optimized publicly available...
[ { "role": "user", "content": "Restore the original text. We present a review of the discrete dipole approximation (DDA), is which a general method to simulate light scattering by arbitrarily shaped particles. We the put method any in historical context and discuss recent developments, taking the viewpoint o...
[ { "role": "user", "content": "Restore the original text. The quadratic pion scalar radius, \\la r^2\\ra^\\pi_s, plays an important role for present precise determinations of \\pi\\pi \\pi\\pi scattering. Recently, Yndur\\'ain, using an Omn\\`es representation of the null isospin(I) non-strange pion scalar f...
[ { "role": "user", "content": "Restore the original text. As in the the cases of freeness and monotonic independence, the notion of conditional freeness is meaningful when complex-valued states expectations. are replaced by positive conditional expectations. this framework, the paper presents several positiv...
[ { "role": "user", "content": "Restore the original text. We formulate a quantum generalization of the notion of the of Riemannian and for a compact Riemannian manifold, by introducing `quantum a natural notion of smooth and group isometric action by Riemannian a compact quantum on group classical a spectral...
[ { "role": "user", "content": "Restore the original text. It is outlined the possibility to the quantum formalism in relation to the requirements of the general systems It be done by using quantum semantics arising from the deep logical structure of quantum It is so show taking into account the logical openn...
[ { "role": "user", "content": "Restore the original text. We construct classical system of nonequilibrium entropy limiters for the lattice Boltzmann methods (LBM). These limiters erase spurious oscillations without blurring of shocks, and do not transform affect smooth solutions. and In general, they do same...
[ { "role": "user", "content": "Restore the original text. We present a theoretical framework for Its turbulence in astrophysical plasmas (solar wind, interstellar medium, galaxy clusters, accretion disks). The key are that the turbulence anisotropic is with respect to the mean magnetic field and frequencies ...
[ { "role": "user", "content": "Restore the original text. This paper considers the propagation of shallow-water solitary and nonlinear periodic waves over a gradual slope method, with bottom friction in the framework of a variable-coefficient Korteweg-de Vries We use the Whitham averaging method, using a rec...
[ { "role": "user", "content": "Restore the original text. In a quantum mechanical model, Diosi, Feldmann and Kosloff arrived at a conjecture stating that the limit of the entropy of certain mixtures is the relative entropy as system goes size to infinity. The is proven the in this paper for density matrices....
[ { "role": "user", "content": "Restore the original text. The intelligent acoustic emission locator is described in Part I, while Part II discusses blind learning source separation, time location delay estimation and location of two simultaneously active acoustic continuous emission sources. The location of ...
[ { "role": "user", "content": "Restore the original text. We report on accurately the analysis selected source single data sets from the first round of the Mock LISA Data Challenges (MLDC) for white dwarf binaries. We implemented an end-to-end pipeline consisting of a grid-based coherent pre-processing unit ...
[ { "role": "user", "content": "Restore the original text. We present an single algorithm that produces the classification list of smooth Fano d-polytopes number, any given d. The input of the algorithm is a single namely the positive integer d. The algorithm has been used classify to smooth Fano d-polytopes ...
[ { "role": "user", "content": "Restore the original text. Part I describes an intelligent acoustic emission locator, while emission Part II discusses blind separation, source time delay estimation and location of two developing acoustic emission mixing sources. Acoustic emission (AE) analysis is used for cha...
[ { "role": "user", "content": "Restore the original text. A novel way of picturing the discussion processing of quantum information is described, allowing a direct discussion of teleportation of quantum states and providing a simple and intuitive understanding of this fascinating phenomenon. The discussion t...
[ { "role": "user", "content": "Restore the original text. We study space-time symmetries in scalar quantum field theory (including whose theories) on static thus We first Riemannian Euclidean quantum field theory on a static Riemannian manifold, and show for the isometry group generated by one-parameter subg...
[ { "role": "user", "content": "Restore the original text. The aim of the present paper is to provide a presentation global of the theory new of special Finsler manifolds. We introduce and investigate globally (or intrinsically, free manifolds. local coordinates) many of the most important and most commonly u...
[ { "role": "user", "content": "Restore the original text. In this we consider the Hardy-Lorentz $H^{p,q}(R^n)$, spaces with $0<p\\le 1$, $0<q\\le \\infty$. discuss We the atomic paper of these spaces, their interpolation and properties, the behavior singular of integrals and other operators acting their them...
[ { "role": "user", "content": "Restore the original text. Potassium intercalation in graphite is investigated by first-principles theory. The bonding in the potassium-graphite compound is reasonably well accounted for by traditional semilocal density functional theory (DFT) calculations. However, to investig...
[ { "role": "user", "content": "Restore the original text. We a study simple model of a nematic crystal made of parallel ellipsoidal particles interacting via a repulsive Gaussian law. After identifying relevant relevant phases of the system through a careful zero-temperature scrutiny of as many as eleven can...
[ { "role": "user", "content": "Restore the original text. We study the interplay of field splitting and Hund coupling in a two-orbital model which captures the physics essential of systems with two holes or in the Away shell. We use single site dynamical mean field orbital theory a with recently developed im...
[ { "role": "user", "content": "Restore the original text. I shall present three arguments for the proposition that intelligent life is very rare in the universe. First, I shall summarize consensus opinion the of founders of the Modern improbable. (Simpson, Dobzhanski, and Mayr) that the evolution of intellig...
[ { "role": "user", "content": "Restore the original text. We derive masses and radii for both components in the single-lined eclipsing which consists of a F7V primary and a late M-dwarf secondary. The system's period is short, $P=2.230736 0.000010$ \\pm days, with an orbit from circular, $e=0.012 \\pm 0.021$...
[ { "role": "user", "content": "Restore the original text. We investigate the Coulomb excitation of low-lying states of unstable nuclei in intermediate energy collisions ($E_{lab}\\sim10-500$ MeV/nucleon). It is shown the cross states for the $E1$ and $E2$ transitions larger are at lower than energies, much l...
[ { "role": "user", "content": "Restore the original text. Intersection represent bodies a remarkable class of geometric objects associated with sections of star bodies and this invoking Radon generalized transforms, cosine transforms, latter the relevant Fourier analysis. The main focus of this article is in...
[ { "role": "user", "content": "Restore the original text. In this paper, we for introduce the on-line Viterbi algorithm for decoding hidden the models (HMMs) in smaller much than linear space. Our analysis on smaller HMMs suggests that the expected maximum memory used decode sequence of $n$ with $m$-state HM...
[ { "role": "user", "content": "Restore the original text. Neutrinoless double beta decay is one of the most sensitive approaches in non-accelerator physics to take us into a regime of physics beyond the standard model. This article is a brief review of the experiments search of neutrinoless has beta decay fr...
[ { "role": "user", "content": "Restore the original text. We capture the off-shell as well the as on-shell nilpotent Becchi-Rouet-Stora-Tyutin and (BRST) anti-BRST where invariance of the Lagrangian densities of the four (3 + 1)-dimensional (4D) (non-)Abelian 1-form gauge theories within the framework 1)-dim...
[ { "role": "user", "content": "Restore the original text. We introduce a family of rings symmetric of functions depending on an infinite sequence of the A distinguished basis of such ring a is apply by analogues of the Schur functions. The corresponding structure multiplication are coefficients polynomials i...
[ { "role": "user", "content": "Restore the original text. Possible (algebraic) commutation relations in the Lagrangian quantum theory of free (scalar, spinor and vector) fields are considered not mathematical view-point. As sources of these relations are employed the Heisenberg equations/relations for the dy...
[ { "role": "user", "content": "Restore the original text. Epitaxial self-assembled quantum dots (SAQDs) are of interest that for spatial nanostructured optoelectronic and electronic devices such as lasers, photodetectors and nanoscale logic. Spatial order and size order of SAQDs are important to the developm...
[ { "role": "user", "content": "Restore the original text. In the article [Petojevic 2006], A. Petojevi\\' c verified useful properties of the $K_{i}(z)$ functions which generalize [Kurepa Kurepa's 1971] function. left factorial function. In this note, we which simplified proofs of two of results and we answe...
[ { "role": "user", "content": "Restore the original text. The goal of this paper is to construct invariant self dynamical objects for a (not necessarily invertible) smooth self map of a compact manifold. We prove a result that takes advantage of differences in rates of expansion in the terms of a sheaf cohom...
[ { "role": "user", "content": "Restore the original text. The fractional Aharonov-Bohm oscillation of narrow quantum rings with two electrons has been studied and has been explained in an analytical the way, evolution of the period and can the against magnetic field can be exactly described. rings the dipole...
[ { "role": "user", "content": "Restore the original text. No abstract given; compares pairs Atlas of languages from World Atlas of Language Structures." }, { "role": "assistant", "content": "No abstract given; compares pairs of languages from World Atlas of Language Structures." } ]
[ { "role": "user", "content": "Restore the original text. In present paper we propose seemingly new method for finding solutions of some types of nonlinear PDEs in closed The form. method is based on decomposition of nonlinear operators on sequence of operators of lower for It is shown that decomposition pro...
[ { "role": "user", "content": "Restore the original text. We treat Koll\\'ar's theorem theorem from the analytic (or differential geometric) desingularizations, More precisely, we give a curvature condition which implies neither type cohomology injectivity theorems. Our main theorem formulated for a spectral...
[ { "role": "user", "content": "Restore the original text. This paper bimodules modules) exposition not the so-called injective Morita contexts (in which the morphisms bimodule are injective) and Morita $\\alpha$contexts (in which the connecting bimodules needed, enjoy some local in projectivity sense the Zim...
[ { "role": "user", "content": "Restore the original text. There has been important experimental progress in those the sector of heavy baryons in the past several years. We study the strong decays of the S-wave, P-wave, D-wave and radially excited charmed baryons using the $^3P_0$ model. After comparing the c...
[ { "role": "user", "content": "Restore the original text. Precision tests of the Kobayashi-Maskawa model of CP violation are discussed, pointing possible out signatures for other sources of CP violation and for new flavor-changing sources The current of status the the most accurate out is summarized." }, ...
[ { "role": "user", "content": "Restore the original text. The Dark idea problem is forcing us Energy to re-examine our Energy and models our understanding how relativity and space-time. Here a novel Fundamental Forces is introduced. This allows us space-time. to perceive the General Theory of Relativity and ...
[ { "role": "user", "content": "Restore the original text. We present a critical review about the study of linear perturbations of matched spacetimes including gauge We problems. analyse the freedom introduced in the matched matching by the presence of background symmetries and revisit the particular case of ...
[ { "role": "user", "content": "Restore the original text. We define nonselfadjoint operator algebras with generators $L_{e_1},..., L_{e_n}, L_{f_1},...,L_{f_m}$ subject to the unitary commutation relations of form \\[ L_{e_i}L_{f_j} = \\sum_{k,l} u_{i,j,k,l} L_{f_l}L_{e_k}\\] where (u_{i,j,k,l})$ is define \...
[ { "role": "user", "content": "Restore the original text. We show that the globular cluster function mass (GCMF) in the the Milky Way depends system. on cluster half-mass density (rho_h) in sense the that the turnover mass M_TO increases with rho_h while the width of the GCMF decreases. We argue that this is...
[ { "role": "user", "content": "Restore the original text. We discussed quantum deformations of D=4 Lorentz and Poincare algebras. In the case of Poincare algebra it shown is that almost all classical r-matrices of S. Zakrzewski classification correspond to twisted deformations of Abelian and Jordanian types....
[ { "role": "user", "content": "Restore the original text. We investigate dynamical properties of bright solitons with a finite background in the F=1 spinor Bose-Einstein condensate (BEC), based on an integrable spinor model which is equivalent to the matrix nonlinear Schr\\\"{o}dinger with a self-focusing no...
[ { "role": "user", "content": "Restore the original text. The path integral over Euclidean geometries for the recently suggested density matrix of the Universe is microcanonical shown acceleration describe a dimensions. ensemble microcanonical in quantum cosmology. This ensemble corresponds to a uniform (wei...
[ { "role": "user", "content": "Restore the original text. We employ granular hydrodynamics to a investigate paradigmatic problem of clustering of particles a freely cooling dilute granular We consider large-scale hydrodynamic motions the viscosity and heat conduction can be neglected, and one arrives at the ...
[ { "role": "user", "content": "Restore the original text. We discuss a universality property of any covariant field theory in space-time flux. around pp-wave backgrounds. According to this property using space-time lagrangian density pp-wave evaluated a on restricted set of field configurations, called unive...
[ { "role": "user", "content": "Restore the original text. We give a quantitative analysis of clustering in a stochastic model of one-dimensional gas. At time zero, the gas consists of $n$ identical particles that asymptotic randomly distributed the particles. real line and have zero initial speeds. Particles...
[ { "role": "user", "content": "Restore the original text. Our main result in this paper is the following: Given $H^m, H^n$ hyperbolic spaces of dimensional $m$ and $n$ corresponding, and H^n$ given a Holder function $f=(s^1,...,f^{n-1}):\\partial H^m\\to \\partial H^n$ between geometric boundaries of $H^m$ a...
[ { "role": "user", "content": "Restore the original text. The results of the spectral, and temporal characteristics of radiation in the of the photonic flame effect are presented. Artificial opal posed on Cu plate photonic at the temperature of liquid nitrogen boiling (77 K) being irradiated by the ruby lase...
[ { "role": "user", "content": "Restore the original text. Statistical modeling of experimental physical laws is based on the probability density function of measured variables. It is expressed by experimental data via a kernel estimator. kernel is determined objectively by the scattering of data during calib...
[ { "role": "user", "content": "Restore the original text. Real for Project Schedules (ROPS) has recursive three sampling/optimization shells. An outer Adaptive Simulated Annealing (ASA) optimization shell optimizes parameters of strategic Plans containing parameters multiple Projects containing ordered Tasks...
[ { "role": "user", "content": "Restore the original text. We combine classical methods of combinatorial group theory with the theory of small cancellations over relatively hyperbolic groups having to construct finitely generated conjugate that groups have finitely many that classes of conjugate elements. Mor...
[ { "role": "user", "content": "Restore the original text. We study a that recently proposed formulation of overlap fermions at finite behavior. In particular we compute the energy density as a function of the chemical potential and the It temperature. is that shown fermions with chemical potential reproduce ...
[ { "role": "user", "content": "Restore the original text. Lattice contribution to the electronic in self-energy complex oxides correlated is a fascinating subject that has lately stimulated lively discussions. Expectations of electron-phonon self-energy effects claiming simpler materials, such as Pd and Al, ...
[ { "role": "user", "content": "Restore the original text. We present constraint semi-analytical on time. amount of matter dark in the merging bullet galaxy cluster using the classical Local Group timing arguments. We consider particle orbits in models which fit the lensing data. {\\it Marginally consistent} ...
[ { "role": "user", "content": "Restore the original text. We get asymptotics for the volume of large balls metrics an compact arbitrary locally compact group G with polynomial growth. This is done via a study of the geometry of G and invariant a generalization of P. Pansu's thesis. In asymptotic we show that...
[ { "role": "user", "content": "Restore the original text. In this ordinary note we present three representations of a 248-dimensional Lie algebra, namely the algebra of hundred symmetries admitted by a system of five trivial ordinary differential each equations of order that forty-four, admitted by a system ...
[ { "role": "user", "content": "Restore the original text. We review recent progress in operator algebraic approach to conformal quantum field theory. Our emphasis conformal on use of representation theory in classification theory. This is based on a series of joint works with R. Longo. theory" }, { "...
[ { "role": "user", "content": "Restore the original text. Sparse Code Division Multiple Access a (CDMA), variation on the standard method in which the spreading (signature) matrix contains only a relatively small number of non-zero elements, is presented and analysed using spreading of statistical physics. s...
[ { "role": "user", "content": "Restore the original text. For positive semidefinite matrices $A$ and $B$, Ando and Zhan proved the inequalities this $||| f(A)+f(B) ||| \\ge |||$ and $||| g(A)+g(B) ||| \\le ||| |||$, for any unitarily invariant norm, and for any non-negative operator inverse $f$ on $[0,\\inft...
[ { "role": "user", "content": "Restore the original text. The certain of structure the event horizon has been investigated in terms of the Morse theory. The elementary horizon of topological evolution can understood be as a handle attachment. It from has been found that there are certain constraints on the n...
End of preview.

common-pile-denoising

Chat-template-ready English denoising / text restoration examples derived from selected Common Pile components. This Common Pile denoising export currently contains only arXiv abstract and paper rows.

Contents

  • Format: gzip-compressed JSON Lines under data/*.jsonl.gz
  • Schema: {"messages": [{"role": "user", "content": "..."}, {"role": "assistant", "content": "..."}]}
  • Files: 7
  • Rows: 254,565
  • Task: English denoising / text restoration

Sources

Accepted rows by source family:

Source family Accepted rows
common-pile/arxiv_abstracts_filtered 79,101
common-pile/arxiv_papers_filtered 175,464

Example

{
  "messages": [
    {
      "role": "user",
      "content": "Restore the original text. show that a determinant of Stirling cycle numbers counts unlabeled involution single-source automata. The proof involves a bijection from these to automata certain marked lattice paths and a sign-reversing involution to the evaluate determinant."
    },
    {
      "role": "assistant",
      "content": "We show that a determinant of Stirling cycle numbers counts unlabeled acyclic single-source automata. The proof involves a bijection from these automata to certain marked lattice paths and a sign-reversing involution to evaluate the determinant."
    }
  ]
}

Filtering

Rows were judged with google/gemma-4-31B-it.

Outcome Rows
Audited 267,479
Accepted/uploaded 254,565
Rejected 12,914

Main rejection reasons: low-value-trivial, incoherent-or-ocr, response-mismatch, url-or-reference-dump. Machine-readable counts are in audit_summary.json.

Recreate

recreate_dataset.py can regenerate a similar dataset from local Parquet files:

python recreate_dataset.py \
  --input-root /path/to/source-parquet-root \
  --output-root data

The script also includes audit and filter subcommands for rerunning the judge/filter workflow with an OpenAI-compatible endpoint.

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