cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.5517/cc79690
title: CCDC 217381: Experimental Crystal Structure Determination

description: Related Article: Xue-Lei Hu, Yi-Zhi Li, Qin-Hui Luo, Guang-Quan Mei, Zhi-Lin Wang|2003|Acta Crystallogr.,Sect.E:Struct.Rep.Online|59|m491|doi:10.1107/S1600536803013114
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc796b1
title: CCDC 217382: Experimental Crystal Structure Determination

description: Related Article: Jin-Cai Wu, Yi-Zhi Li, Ning Tang, Min-Yu Tan|2003|Acta Crystallogr.,Sect.E:Struct.Rep.Online|59|m494|doi:10.1107/S1600536803012868
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc796c2
title: CCDC 217383: Experimental Crystal Structure Determination

description: Related Article: J.L.Krinsky, M.N.Stavis, M.D.Walter|2003|Acta Crystallogr.,Sect.E:Struct.Rep.Online|59|m497|doi:10.1107/S1600536803012807
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5281/zenodo.17345698
title: INU: A Structural Framework for Compressed Arithmetic and Discrete Transformation

description: This archive presents INU (Intuitive Numerical Unification), a proposed framework for compressing arithmetic operations through structural classification and periodic transformations. INU includes a notation system for INU operations, an n-radix extension, and a dimensional generalization applicable to problems such as the Collatz Conjecture and the Four Color Theorem.

The file contains LaTeX source documents, preliminary classification tables, and symbol definitions. INU treats numerical entities as convertible types and provides discrete analogs for topological transformations.

This research aims to inspire new approaches to number theory, combinatorics, and structural proofs.

 

This framework does not seek final correctness, but rather the richness of inquiry. It is offered not as a conclusion, but as a beginning—an invitation to transform arithmetic through structure.

This work may contain errors. But if its structure holds, others will correct the rest. It is shared not for perfection, but for possibility.

 

Note on NamingThe name INU (Intuitive Numerical Unification) carries a personal and symbolic meaning. In Japanese, the word inu (dog) is sometimes used as a prefix to denote something humble or inferior. The framework embraces this nuance, reflecting the idea that even from a modest or overlooked origin, intuitive thinking can lead to meaningful mathematical structures. INU thus represents a system born from simplicity and insight, aiming to unify and compress arithmetic through structural transformation.

 

Note on Fool AlgebraIn addition to its structural framework, INU embraces a philosophical stance known as fool algebra.Unlike traditional algebraic systems that seek rigor through abstraction, fool algebra begins with intuition, visual structure, and the courage to appear foolish. It reflects the idea that wisdom often wears the mask of simplicity, and that breakthroughs may arise not from complexity, but from clarity.

Fool algebra treats numerical entities not merely as values, but as types—visual, compressible, and transformable. It invites the mathematician to step outside formalism, to see patterns where others see noise, and to compress arithmetic into structure.

This is not a rejection of rigor, but a reordering of priorities: structure first, proof second.Fool algebra is not a conclusion—it is a stance. A way of thinking. A way of seeing.

 

Words to be engraved on a gravestone (inscription style)

Here lies the mind behind INU(x) := ρ(ϕτ(x)(x)),A transformation of arithmetic into structure.

If x ∈ {INU}, then perhaps P != NP.Let future mathematicians decide.

By STUDENT

 

Note: This proof surpasses Grothendieck-level abstraction by demonstrating structural indivisibility even under the most powerful frameworks of segmentation and reconstruction. It marks a transition from abstract geometry to structural computation, resolving P ≠ NP through the failure of all known forms of abstraction.
DOI: 10.5517/cc796d3
title: CCDC 217384: Experimental Crystal Structure Determination

description: Related Article: M.Schormann|2003|Acta Crystallogr.,Sect.E:Struct.Rep.Online|59|m500|doi:10.1107/S1600536803013205
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc796f4
title: CCDC 217385: Experimental Crystal Structure Determination

description: Related Article: M.M.Olmstead, C.Troeltzsch, T.E.Patten|2003|Acta Crystallogr.,Sect.E:Struct.Rep.Online|59|m502|doi:10.1107/S160053680301345X
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc796g5
title: CCDC 217386: Experimental Crystal Structure Determination

description: Related Article: Baofeng Zhang, Sheng Chu, Xiaoqing Wang, Guangqiu Shen, Ru-Ji Wang|2003|Acta Crystallogr.,Sect.E:Struct.Rep.Online|59|m504|doi:10.1107/S1600536803013382
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc796h6
title: CCDC 217387: Experimental Crystal Structure Determination

description: Related Article: Shi-Yao Yang, La-Sheng Long, Rong-Bin Huang, Lan-Sun Zheng, S.W.Ng|2003|Acta Crystallogr.,Sect.E:Struct.Rep.Online|59|m507|doi:10.1107/S1600536803013448
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc796k8
title: CCDC 217389: Experimental Crystal Structure Determination

description: Related Article: K.Sakai, M.Osada, Y.Yokoyama, Y.Tomita, T.Tsubomura|2003|Acta Crystallogr.,Sect.E:Struct.Rep.Online|59|m512|doi:10.1107/S1600536803013801
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc796l9
title: CCDC 217390: Experimental Crystal Structure Determination

description: Related Article: K.Sakai, M.Kurashima, M.Osada, S.Takahashi|2003|Acta Crystallogr.,Sect.E:Struct.Rep.Online|59|m515|doi:10.1107/S1600536803013837
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc796mb
title: CCDC 217391: Experimental Crystal Structure Determination

description: Related Article: K.Sakai, Y.Yokoyama, K.Okamoto, S.Takahashi|2003|Acta Crystallogr.,Sect.E:Struct.Rep.Online|59|m518|doi:10.1107/S1600536803013552
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6jvn6
title: CCDC 194948: Experimental Crystal Structure Determination

description: Related Article: Zongbin Wu, Zhongmin Liu, Peng Tian, Lei Xu, Yanli He, Shiyun Sang, Yue Yang, Xiumei Liu, Xianchun Liu, Xinhe Bao|2003|Acta Crystallogr.,Sect.E:Struct.Rep.Online|59|m521|doi:10.1107/S1600536803013278
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6w2w0
title: CCDC 204782: Experimental Crystal Structure Determination

description: Related Article: G.K.Patra, I.Goldberg|2003|New J.Chem.|27|1124|doi:10.1039/b301632c
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc796nc
title: CCDC 217392: Experimental Crystal Structure Determination

description: Related Article: M.Alagar, K.Rajagopal, R.V.Krishnakumar, M.S.Nandhini, S.Kannan, S.Natarajan|2003|Acta Crystallogr.,Sect.E:Struct.Rep.Online|59|m524|doi:10.1107/S1600536803012923
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6w2x1
title: CCDC 204783: Experimental Crystal Structure Determination

description: Related Article: G.K.Patra, I.Goldberg|2003|New J.Chem.|27|1124|doi:10.1039/b301632c
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6w2y2
title: CCDC 204784: Experimental Crystal Structure Determination

description: Related Article: G.K.Patra, I.Goldberg|2003|New J.Chem.|27|1124|doi:10.1039/b301632c
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6w2z3
title: CCDC 204785: Experimental Crystal Structure Determination

description: Related Article: G.K.Patra, I.Goldberg|2003|New J.Chem.|27|1124|doi:10.1039/b301632c
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6w305
title: CCDC 204786: Experimental Crystal Structure Determination

description: Related Article: G.K.Patra, I.Goldberg|2003|New J.Chem.|27|1124|doi:10.1039/b301632c
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6w316
title: CCDC 204787: Experimental Crystal Structure Determination

description: Related Article: G.K.Patra, I.Goldberg|2003|New J.Chem.|27|1124|doi:10.1039/b301632c
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6w327
title: CCDC 204788: Experimental Crystal Structure Determination

description: Related Article: G.K.Patra, I.Goldberg|2003|New J.Chem.|27|1124|doi:10.1039/b301632c
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc5s3xy
title: CCDC 172140: Experimental Crystal Structure Determination

description: Related Article: Anjiang Zhang, Yunlong Hou, Lixue Zhang, Yi Xiong|2002|Synth.Commun.|32|3865|doi:10.1081/SCC-120015405
description: Related Article: An-Jiang Zhang, Li-Xue Zhang, Yun-Long Hou, Yi Xiong, Xian-Jun Li, Kai-Bei Yu|2003|Youji Huaxue|23|281|
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6w338
title: CCDC 204789: Experimental Crystal Structure Determination

description: Related Article: G.K.Patra, I.Goldberg|2003|New J.Chem.|27|1124|doi:10.1039/b301632c
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6q77c
title: CCDC 200112: Experimental Crystal Structure Determination

description: Related Article: Yingming Yao, Mingqiang Xue, Yunjie Luo, Zhenqin Zhang, Rui Jiao, Yong Zhang, Qi Shen, Wingtak Wong, Kaibei Yu, Jie Sun|2003|J.Organomet.Chem.|678|108|doi:10.1016/S0022-328X(03)00453-4
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6syvr
title: CCDC 202735: Experimental Crystal Structure Determination

description: Related Article: H.Miyasaka, T.Nezu, F.Iwahori, S.Furukawa, K.Sugimoto, R.Clerac, K.Sugiura, M.Yamashita|2003|Inorg.Chem.|42|4501|doi:10.1021/ic034302o
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6q78d
title: CCDC 200113: Experimental Crystal Structure Determination

description: Related Article: Yingming Yao, Mingqiang Xue, Yunjie Luo, Zhenqin Zhang, Rui Jiao, Yong Zhang, Qi Shen, Wingtak Wong, Kaibei Yu, Jie Sun|2003|J.Organomet.Chem.|678|108|doi:10.1016/S0022-328X(03)00453-4
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6q79f
title: CCDC 200114: Experimental Crystal Structure Determination

description: Related Article: Yingming Yao, Mingqiang Xue, Yunjie Luo, Zhenqin Zhang, Rui Jiao, Yong Zhang, Qi Shen, Wingtak Wong, Kaibei Yu, Jie Sun|2003|J.Organomet.Chem.|678|108|doi:10.1016/S0022-328X(03)00453-4
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6q7bg
title: CCDC 200115: Experimental Crystal Structure Determination

description: Related Article: Yingming Yao, Mingqiang Xue, Yunjie Luo, Zhenqin Zhang, Rui Jiao, Yong Zhang, Qi Shen, Wingtak Wong, Kaibei Yu, Jie Sun|2003|J.Organomet.Chem.|678|108|doi:10.1016/S0022-328X(03)00453-4
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6q7ch
title: CCDC 200116: Experimental Crystal Structure Determination

description: Related Article: Yingming Yao, Mingqiang Xue, Yunjie Luo, Zhenqin Zhang, Rui Jiao, Yong Zhang, Qi Shen, Wingtak Wong, Kaibei Yu, Jie Sun|2003|J.Organomet.Chem.|678|108|doi:10.1016/S0022-328X(03)00453-4
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6q6rv
title: CCDC 200097: Experimental Crystal Structure Determination

description: Related Article: M.Ferrer, L.Rodriguez, O.Rossell, F.Pina, J.C.Lima, M.Font-Bardia, X.Solans|2003|J.Organomet.Chem.|678|82|doi:10.1016/S0022-328X(03)00442-X
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6wpmc
title: CCDC 205363: Experimental Crystal Structure Determination

description: Related Article: Young Chul Won, Heon Yong Kwon, Bun Yeoul Lee, Young-Whan Park|2003|J.Organomet.Chem.|677|133|doi:10.1016/S0022-328X(03)00388-7
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6jnr3
title: CCDC 194765: Experimental Crystal Structure Determination

description: Related Article: M.P.Coogan, L.S.Stanton, T.Walther|2003|J.Organomet.Chem.|677|125|doi:10.1016/S0022-328X(03)00385-1
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6jns4
title: CCDC 194766: Experimental Crystal Structure Determination

description: Related Article: M.P.Coogan, L.S.Stanton, T.Walther|2003|J.Organomet.Chem.|677|125|doi:10.1016/S0022-328X(03)00385-1
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6qp7t
title: CCDC 200546: Experimental Crystal Structure Determination

description: Related Article: Yongbao Zhu, B.R.Cameron, R.T.Skerlj|2003|J.Organomet.Chem.|677|57|doi:10.1016/S0022-328X(03)00347-4
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6rj7p
title: CCDC 201352: Experimental Crystal Structure Determination

description: Related Article: C.C.Karl, S.Joneleit, M.M.Abd-Elzaher, B.Weibert, H.Fischer|2003|J.Organomet.Chem.|677|46|doi:10.1016/S0022-328X(03)00324-3
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.5517/cc6rj8q
title: CCDC 201353: Experimental Crystal Structure Determination

description: Related Article: C.C.Karl, S.Joneleit, M.M.Abd-Elzaher, B.Weibert, H.Fischer|2003|J.Organomet.Chem.|677|46|doi:10.1016/S0022-328X(03)00324-3
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.