Concepts in Motion: Temporal Concept Bottleneck Model for Interpretable Video Classification
Pith reviewed 2026-05-18 14:34 UTC · model grok-4.3
The pith
MoTIF adds per-concept temporal self-attention to concept bottlenecks for video classification.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The paper claims that structuring video predictions around sequences of temporally grounded concept activations, discovered without manual labels by a class-conditioned VLM and modeled via per-concept temporal self-attention, produces an interpretable classifier that improves over global concept bottlenecks while remaining competitive in the interpretable setting and narrowing the gap to strong black-box baselines.
What carries the argument
Per-concept temporal self-attention operating on sequences of concept activations inside the Moving Temporal Interpretable Framework (MoTIF), paired with class-conditioned VLM concept discovery.
If this is right
- The model improves accuracy over global, non-temporal concept bottlenecks on multiple video benchmarks.
- Performance stays competitive with other methods inside the interpretable concept-bottleneck category.
- The gap to strong black-box video classification baselines narrows while retaining interpretability.
- Concept timelines become available for inspection without requiring any manual concept labels.
Where Pith is reading between the lines
- Attention weights over each concept's timeline could be inspected to identify the exact frames that most influence a prediction.
- The same per-concept temporal structure might transfer to other time-series tasks such as audio event classification if suitable concept extractors exist.
- Automatic concept discovery could lower the barrier for applying interpretable bottlenecks to new video domains where experts have not predefined concepts.
Load-bearing premise
The class-conditioned VLM extracts object- and action-centric textual concepts from training videos that are complete and accurate enough for the downstream temporal modeling to work without manual annotation.
What would settle it
Replace the VLM-discovered concepts with a fixed set of generic or random textual descriptors unrelated to the video classes and measure whether accuracy falls to the level of non-temporal concept bottlenecks; if accuracy remains high, the claim that the specific discovered concepts plus temporal modeling are responsible would be falsified.
Figures
read the original abstract
Concept Bottleneck Models (CBMs) enable interpretable image classification by structuring predictions around human-understandable concepts, but extending this paradigm to video remains challenging due to the difficulty of extracting concepts and modeling them over time. In this paper, we introduce MoTIF (Moving Temporal Interpretable Framework), a transformer-based concept architecture that operates on sequences of temporally grounded concept activations, by employing per-concept temporal self-attention to model when individual concepts recur and how their temporal patterns contribute to predictions. Central to the framework is a class-conditioned VLM-based concept discovery module that extracts object- and action-centric textual concepts from training videos, yielding temporally expressive concept sets without manual concept annotation. Across multiple video benchmarks, this combination improves over global concept bottlenecks and remains competitive within the interpretable concept-bottleneck setting, while narrowing the gap to strong black-box video baselines that we report as contextual references. Code available at github.com/patrick-knab/MoTIF.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript introduces MoTIF, a Moving Temporal Interpretable Framework for video classification. It extends concept bottleneck models to videos by using a class-conditioned VLM to automatically discover object- and action-centric textual concepts from training videos, then feeding sequences of concept activations into a transformer with per-concept temporal self-attention to model temporal dynamics. The paper reports that this approach improves upon global concept bottlenecks on several video benchmarks, stays competitive among interpretable models, and reduces the performance gap to black-box video classifiers.
Significance. If the central modeling choices prove robust, the work could meaningfully advance interpretable video classification by incorporating temporal dynamics into concept-based predictions while avoiding manual concept annotation. The public code release is a clear strength for reproducibility.
major comments (2)
- [§3.2] §3.2 (Concept Discovery Module): the claim that the class-conditioned VLM yields object- and action-centric concepts that are 'sufficiently complete and accurate' for downstream temporal modeling is load-bearing, yet the manuscript provides no quantitative fidelity metrics such as recall against human-annotated action/object sets or performance sensitivity when concepts are replaced or perturbed.
- [§4] §4 (Experiments and Tables): reported gains over global (non-temporal) concept bottlenecks are presented without error bars, multi-seed statistics, or an ablation that isolates per-concept temporal self-attention from the VLM discovery step; this leaves open whether the temporal component drives the improvement or whether gains are attributable to VLM supervision alone.
minor comments (2)
- [§3.1] Notation for concept activation sequences and the per-concept attention mask could be clarified with an explicit equation or pseudocode block.
- [Figure 1] Figure 1 (architecture diagram): the flow from VLM concept extraction to temporal transformer layers would benefit from explicit time-axis annotations.
Simulated Author's Rebuttal
We thank the referee for their thoughtful review and constructive suggestions. We address each major comment below and commit to incorporating revisions that enhance the rigor of our experimental analysis and concept evaluation.
read point-by-point responses
-
Referee: §3.2 (Concept Discovery Module): the claim that the class-conditioned VLM yields object- and action-centric concepts that are 'sufficiently complete and accurate' for downstream temporal modeling is load-bearing, yet the manuscript provides no quantitative fidelity metrics such as recall against human-annotated action/object sets or performance sensitivity when concepts are replaced or perturbed.
Authors: We agree that providing quantitative metrics for the concept discovery module would better support our claims regarding the sufficiency of the discovered concepts. Although the primary evaluation in the manuscript focuses on end-to-end classification performance, we recognize the value of direct assessment. In the revised version, we will add quantitative fidelity metrics, including recall of discovered concepts against human-annotated object and action sets on applicable benchmarks. We will also include a sensitivity analysis by systematically replacing or perturbing subsets of concepts and reporting the resulting changes in model performance. This will help validate the completeness and accuracy of the VLM-based discovery process. revision: yes
-
Referee: §4 (Experiments and Tables): reported gains over global (non-temporal) concept bottlenecks are presented without error bars, multi-seed statistics, or an ablation that isolates per-concept temporal self-attention from the VLM discovery step; this leaves open whether the temporal component drives the improvement or whether gains are attributable to VLM supervision alone.
Authors: We appreciate this observation, as it highlights the need for more robust statistical reporting and targeted ablations. The current manuscript reports results from single experimental runs without variance estimates. To address this, we will re-run all experiments across multiple random seeds (e.g., 5 seeds) and include error bars along with mean and standard deviation in the updated tables. Additionally, we will introduce a new ablation study that fixes the VLM-discovered concepts and compares the full temporal self-attention model against a non-temporal baseline (such as mean-pooling of concept activations over time). This will isolate the contribution of the per-concept temporal self-attention mechanism from the benefits of the concept discovery alone. revision: yes
Circularity Check
No significant circularity in derivation chain
full rationale
The paper presents an empirical architecture (MoTIF) whose performance claims are evaluated via standard benchmark comparisons on video datasets against global CBM baselines and black-box models. The class-conditioned VLM concept discovery is described as an independent upstream module that produces textual concepts fed into per-concept temporal self-attention; no equations define the downstream predictions in terms of the discovery step itself, nor are any fitted parameters from the model renamed as predictions. No self-citation chains, uniqueness theorems, or ansatzes are invoked to force the central results. The derivation remains self-contained against external benchmarks.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Vision-language models conditioned on class labels can extract object- and action-centric textual concepts from video frames that capture the information needed for classification.
Lean theorems connected to this paper
-
IndisputableMonolith/Foundation/RealityFromDistinction.leanreality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
class-conditioned VLM-based concept discovery module that extracts object- and action-centric textual concepts
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
Works this paper leans on
-
[1]
" write newline "" before.all 'output.state := FUNCTION n.dashify 't := "" t empty not t #1 #1 substring "-" = t #1 #2 substring "--" = not "--" * t #2 global.max substring 't := t #1 #1 substring "-" = "-" * t #2 global.max substring 't := while if t #1 #1 substring * t #2 global.max substring 't := if while FUNCTION format.date year duplicate empty "emp...
-
[2]
Is space-time attention all you need for video understanding? In Icml, volume 2, pp.\ 4, 2021
Gedas Bertasius, Heng Wang, and Lorenzo Torresani. Is space-time attention all you need for video understanding? In Icml, volume 2, pp.\ 4, 2021
work page 2021
-
[3]
Perception Encoder: The best visual embeddings are not at the output of the network
Daniel Bolya, Po-Yao Huang, Peize Sun, Jang Hyun Cho, Andrea Madotto, Chen Wei, Tengyu Ma, Jiale Zhi, Jathushan Rajasegaran, Hanoona Rasheed, Junke Wang, Marco Monteiro, Hu Xu, Shiyu Dong, Nikhila Ravi, Daniel Li, Piotr Dollár, and Christoph Feichtenhofer. Perception encoder: The best visual embeddings are not at the output of the network, 2025. URL https...
work page internal anchor Pith review Pith/arXiv arXiv 2025
-
[4]
Interactive concept bottleneck models
Kushal Chauhan, Rishabh Tiwari, Jan Freyberg, Pradeep Shenoy, and Krishnamurthy Dvijotham. Interactive concept bottleneck models. In Proceedings of the aaai conference on artificial intelligence, volume 37, pp.\ 5948--5955, 2023
work page 2023
-
[5]
Planning with reasoning using vision language world model.arXiv preprint arXiv:2509.02722, 2025
Delong Chen, Theo Moutakanni, Willy Chung, Yejin Bang, Ziwei Ji, Allen Bolourchi, and Pascale Fung. Planning with reasoning using vision language world model. arXiv preprint arXiv:2509.02722, 2025
-
[6]
An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale
Alexey Dosovitskiy, Lucas Beyer, Alexander Kolesnikov, Dirk Weissenborn, Xiaohua Zhai, Thomas Unterthiner, Mostafa Dehghani, Matthias Minderer, Georg Heigold, Sylvain Gelly, et al. An image is worth 16x16 words: Transformers for image recognition at scale. arXiv preprint arXiv:2010.11929, 2020
work page internal anchor Pith review Pith/arXiv arXiv 2010
-
[7]
Towards automatic concept-based explanations
Amirata Ghorbani, James Wexler, James Y Zou, and Been Kim. Towards automatic concept-based explanations. Advances in neural information processing systems, 32, 2019
work page 2019
-
[8]
Raghav Goyal, Samira Ebrahimi Kahou, Vincent Michalski, Joanna Materzynska, Susanne Westphal, Heuna Kim, Valentin Haenel, Ingo Fruend, Peter Yianilos, Moritz Mueller-Freitag, et al. The" something something" video database for learning and evaluating visual common sense. In Proceedings of the IEEE international conference on computer vision, pp.\ 5842--5850, 2017
work page 2017
-
[9]
Hierarchical explanations for video action recognition
Sadaf Gulshad, Teng Long, and Nanne van Noord. Hierarchical explanations for video action recognition. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp.\ 3703--3708, 2023
work page 2023
-
[10]
Self-attention attribution: Interpreting information interactions inside transformer
Yaru Hao, Li Dong, Furu Wei, and Ke Xu. Self-attention attribution: Interpreting information interactions inside transformer. In Proceedings of the AAAI Conference on Artificial Intelligence, volume 35, pp.\ 12963--12971, 2021
work page 2021
-
[11]
Addressing leakage in concept bottleneck models
Marton Havasi, Sonali Parbhoo, and Finale Doshi-Velez. Addressing leakage in concept bottleneck models. Advances in Neural Information Processing Systems, 35: 0 23386--23397, 2022
work page 2022
-
[12]
Deep residual learning for image recognition
Kaiming He, Xiangyu Zhang, Shaoqing Ren, and Jian Sun. Deep residual learning for image recognition. In Proceedings of the IEEE conference on computer vision and pattern recognition, pp.\ 770--778, 2016
work page 2016
-
[13]
Aya Abdelsalam Ismail, Tuomas Oikarinen, Amy Wang, Julius Adebayo, Samuel Don Stanton, Hector Corrada Bravo, Kyunghyun Cho, and Nathan C. Frey. Concept bottleneck language models for protein design. In The Thirteenth International Conference on Learning Representations, 2025. URL https://openreview.net/forum?id=Yt9CFhOOFe
work page 2025
-
[14]
Jeya Vikranth Jeyakumar, Luke Dickens, Yu-Hsi Cheng, Joseph Noor, Luis Antonio Garcia, Diego Ramirez Echavarria, Alessandra Russo, Lance M. Kaplan, and Mani Srivastava. Automatic concept extraction for concept bottleneck-based video classification, 2022. URL https://openreview.net/forum?id=66kgCIYQW3
work page 2022
-
[15]
Spatial-temporal concept based explanation of 3d convnets
Ying Ji, Yu Wang, and Jien Kato. Spatial-temporal concept based explanation of 3d convnets. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp.\ 15444--15453, 2023
work page 2023
-
[16]
Beyond pixels: Enhancing LIME with hierarchical features and segmentation foundation models
Patrick Knab, Sascha Marton, and Christian Bartelt. Beyond pixels: Enhancing LIME with hierarchical features and segmentation foundation models. In ICLR 2025 Workshop on Foundation Models in the Wild, 2025 a . URL https://openreview.net/forum?id=JHs5p6nPbG
work page 2025
-
[17]
Which lime should i trust? concepts, challenges, and solutions, 2025 b
Patrick Knab, Sascha Marton, Udo Schlegel, and Christian Bartelt. Which lime should i trust? concepts, challenges, and solutions, 2025 b . URL https://arxiv.org/abs/2503.24365
-
[18]
Pang Wei Koh, Thao Nguyen, Yew Siang Tang, Stephen Mussmann, Emma Pierson, Been Kim, and Percy Liang. Concept bottleneck models. In Hal Daumé III and Aarti Singh (eds.), Proceedings of the 37th International Conference on Machine Learning, volume 119 of Proceedings of Machine Learning Research, pp.\ 5338--5348. PMLR, 13--18 Jul 2020. URL https://proceedin...
work page 2020
-
[19]
Understanding video transformers via universal concept discovery
Matthew Kowal, Achal Dave, Rares Ambrus, Adrien Gaidon, Konstantinos G Derpanis, and Pavel Tokmakov. Understanding video transformers via universal concept discovery. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp.\ 10946--10956, 2024
work page 2024
- [20]
- [21]
-
[22]
Pcbear: Pose concept bottleneck for explainable action recognition
Jongseo Lee, Wooil Lee, Gyeong-Moon Park, Seong Tae Kim, and Jinwoo Choi. Pcbear: Pose concept bottleneck for explainable action recognition. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops, pp.\ 2690--2699, June 2025
work page 2025
-
[23]
Tsm: Temporal shift module for efficient video understanding
Ji Lin, Chuang Gan, and Song Han. Tsm: Temporal shift module for efficient video understanding. In Proceedings of the IEEE/CVF international conference on computer vision, pp.\ 7083--7093, 2019
work page 2019
-
[24]
Pintea, Fatemeh Karimi Nejadasl, Olaf Booij, and Jan C
Xin Liu, Silvia L. Pintea, Fatemeh Karimi Nejadasl, Olaf Booij, and Jan C. van Gemert. No frame left behind: Full video action recognition. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), pp.\ 14892--14901, June 2021
work page 2021
-
[25]
Something-else: Compositional action recognition with spatial-temporal interaction networks
Joanna Materzynska, Tete Xiao, Roei Herzig, Huijuan Xu, Xiaolong Wang, and Trevor Darrell. Something-else: Compositional action recognition with spatial-temporal interaction networks. pp.\ 1049--1059, 2020
work page 2020
-
[26]
Visual classification via description from large language models
Sachit Menon and Carl Vondrick. Visual classification via description from large language models. In International Conference on Learning Representations, 2023
work page 2023
-
[27]
Christoph Molnar, Giuseppe Casalicchio, and Bernd Bischl. Interpretable machine learning -- a brief history, state-of-the-art and challenges. In Irena Koprinska, Michael Kamp, Annalisa Appice, Corrado Loglisci, Luiza Antonie, Albrecht Zimmermann, Riccardo Guidotti, \"O zlem \"O zg \"o bek, Rita P. Ribeiro, Ricard Gavald \`a , Jo \ a o Gama, Linara Adilova...
work page 2020
-
[28]
OpenAI, Josh Achiam, Steven Adler, and Sandhini Agarwal et al. Gpt-4 technical report, 2024. URL https://arxiv.org/abs/2303.08774
work page internal anchor Pith review Pith/arXiv arXiv 2024
-
[29]
Preksha Pareek and Ankit Thakkar. A survey on video-based human action recognition: recent updates, datasets, challenges, and applications. Artificial Intelligence Review, 54 0 (3): 0 2259--2322, 2021
work page 2021
-
[30]
DCBM : Data-efficient visual concept bottleneck models
Katharina Prasse, Patrick Knab, Sascha Marton, Christian Bartelt, and Margret Keuper. DCBM : Data-efficient visual concept bottleneck models. In Forty-second International Conference on Machine Learning, 2025. URL https://openreview.net/forum?id=BdO4R6XxUH
work page 2025
-
[31]
Learning transferable visual models from natural language supervision
Alec Radford, Jong Wook Kim, Chris Hallacy, Aditya Ramesh, Gabriel Goh, Sandhini Agarwal, Girish Sastry, Amanda Askell, Pamela Mishkin, Jack Clark, et al. Learning transferable visual models from natural language supervision. In International conference on machine learning, pp.\ 8748--8763. PmLR, 2021
work page 2021
-
[32]
Discover-then-name: Task-agnostic concept bottlenecks via automated concept discovery
Sukrut Rao, Sweta Mahajan, Moritz B\" o hle, and Bernt Schiele. Discover-then-name: Task-agnostic concept bottlenecks via automated concept discovery. In Computer Vision – ECCV 2024: 18th European Conference, Milan, Italy, September 29–October 4, 2024, Proceedings, Part LXXVII, pp.\ 444–461, Berlin, Heidelberg, 2024. Springer-Verlag. ISBN 978-3-031-72979-...
-
[33]
Exploring explainability in video action recognition
Avinab Saha, Shashank Gupta, Sravan Kumar Ankireddy, Karl Chahine, and Joydeep Ghosh. Exploring explainability in video action recognition. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops, pp.\ 8176--8181, June 2024
work page 2024
-
[34]
Concept bottleneck model with additional unsupervised concepts
Yoshihide Sawada and Keigo Nakamura. Concept bottleneck model with additional unsupervised concepts. IEEE Access, 10: 0 41758--41765, 2022
work page 2022
-
[35]
S. Schrodi, J. Schur, M. Argus, and T. Brox. Selective concept bottleneck models without predefined concepts. Transactions on Machine Learning Research (TMLR), May 2025. URL http://lmb.informatik.uni-freiburg.de/Publications/2025/SAB25
work page 2025
-
[36]
A dataset of 101 human action classes from videos in the wild
Khurram Soomro, Amir Roshan Zamir, and Mubarak Shah. A dataset of 101 human action classes from videos in the wild. Center for Research in Computer Vision, 2 0 (11): 0 1--7, 2012
work page 2012
-
[37]
Concept bottleneck large language models
Chung-En Sun, Tuomas Oikarinen, Berk Ustun, and Tsui-Wei Weng. Concept bottleneck large language models. In The Thirteenth International Conference on Learning Representations, 2025. URL https://openreview.net/forum?id=RC5FPYVQaH
work page 2025
-
[38]
Videomae: Masked autoencoders are data-efficient learners for self-supervised video pre-training
Zhan Tong, Yibing Song, Jue Wang, and Limin Wang. Videomae: Masked autoencoders are data-efficient learners for self-supervised video pre-training. Advances in neural information processing systems, 35: 0 10078--10093, 2022
work page 2022
-
[39]
Learning spatiotemporal features with 3d convolutional networks
Du Tran, Lubomir Bourdev, Rob Fergus, Lorenzo Torresani, and Manohar Paluri. Learning spatiotemporal features with 3d convolutional networks. In Proceedings of the IEEE international conference on computer vision, pp.\ 4489--4497, 2015
work page 2015
-
[40]
Ashish Vaswani, Noam Shazeer, Niki Parmar, Jakob Uszkoreit, Llion Jones, Aidan N Gomez, ukasz Kaiser, and Illia Polosukhin. Attention is all you need. Advances in neural information processing systems, 30, 2017
work page 2017
-
[41]
Cmf-transformer: cross-modal fusion transformer for human action recognition
Jun Wang, Limin Xia, and Xin Wen. Cmf-transformer: cross-modal fusion transformer for human action recognition. Mach. Vision Appl., 35 0 (5), August 2024 a . ISSN 0932-8092. doi:10.1007/s00138-024-01598-0. URL https://doi.org/10.1007/s00138-024-01598-0
-
[42]
Videomae v2: Scaling video masked autoencoders with dual masking
Limin Wang, Bingkun Huang, Zhiyu Zhao, Zhan Tong, Yinan He, Yi Wang, Yali Wang, and Yu Qiao. Videomae v2: Scaling video masked autoencoders with dual masking. In Proceedings of the IEEE/CVF conference on computer vision and pattern recognition, pp.\ 14549--14560, 2023
work page 2023
-
[43]
Revisiting multiple instance neural networks
Xinggang Wang, Yongluan Yan, Peng Tang, Xiang Bai, and Wenyu Liu. Revisiting multiple instance neural networks. Pattern recognition, 74: 0 15--24, 2018
work page 2018
-
[44]
Internvideo2: Scaling foundation models for multimodal video understanding
Yi Wang, Kunchang Li, Xinhao Li, Jiashuo Yu, Yinan He, Guo Chen, Baoqi Pei, Rongkun Zheng, Zun Wang, Yansong Shi, et al. Internvideo2: Scaling foundation models for multimodal video understanding. In European Conference on Computer Vision, pp.\ 396--416. Springer, 2024 b
work page 2024
-
[45]
Learning optimal summaries of clinical time-series with concept bottleneck models
Carissa Wu, Sonali Parbhoo, Marton Havasi, and Finale Doshi-Velez. Learning optimal summaries of clinical time-series with concept bottleneck models. In Zachary Lipton, Rajesh Ranganath, Mark Sendak, Michael Sjoding, and Serena Yeung (eds.), Proceedings of the 7th Machine Learning for Healthcare Conference, volume 182 of Proceedings of Machine Learning Re...
work page 2022
-
[46]
Yue Yang, Artemis Panagopoulou, Shenghao Zhou, Daniel Jin, Chris Callison-Burch, and Mark Yatskar. Language in a bottle: Language model guided concept bottlenecks for interpretable image classification. In Proceedings of the IEEE/CVF conference on computer vision and pattern recognition, pp.\ 19187--19197, 2023
work page 2023
-
[47]
Sigmoid loss for language image pre-training
Xiaohua Zhai, Basil Mustafa, Alexander Kolesnikov, and Lucas Beyer. Sigmoid loss for language image pre-training. In Proceedings of the IEEE/CVF International Conference on Computer Vision (ICCV), pp.\ 11975--11986, October 2023
work page 2023
-
[48]
Invertible concept-based explanations for cnn models with non-negative concept activation vectors
Ruihan Zhang, Prashan Madumal, Tim Miller, Krista A Ehinger, and Benjamin IP Rubinstein. Invertible concept-based explanations for cnn models with non-negative concept activation vectors. In Proceedings of the AAAI Conference on Artificial Intelligence, volume 35, pp.\ 11682--11690, 2021
work page 2021
-
[49]
\@ifxundefined[1] #1\@undefined \@firstoftwo \@secondoftwo \@ifnum[1] #1 \@firstoftwo \@secondoftwo \@ifx[1] #1 \@firstoftwo \@secondoftwo [2] @ #1 \@temptokena #2 #1 @ \@temptokena \@ifclassloaded agu2001 natbib The agu2001 class already includes natbib coding, so you should not add it explicitly Type <Return> for now, but then later remove the command n...
-
[50]
\@lbibitem[] @bibitem@first@sw\@secondoftwo \@lbibitem[#1]#2 \@extra@b@citeb \@ifundefined br@#2\@extra@b@citeb \@namedef br@#2 \@nameuse br@#2\@extra@b@citeb \@ifundefined b@#2\@extra@b@citeb @num @parse #2 @tmp #1 NAT@b@open@#2 NAT@b@shut@#2 \@ifnum @merge>\@ne @bibitem@first@sw \@firstoftwo \@ifundefined NAT@b*@#2 \@firstoftwo @num @NAT@ctr \@secondoft...
-
[51]
@open @close @open @close and [1] URL: #1 \@ifundefined chapter * \@mkboth \@ifxundefined @sectionbib * \@mkboth * \@mkboth\@gobbletwo \@ifclassloaded amsart * \@ifclassloaded amsbook * \@ifxundefined @heading @heading NAT@ctr thebibliography [1] @ \@biblabel @NAT@ctr \@bibsetup #1 @NAT@ctr @ @openbib .11em \@plus.33em \@minus.07em 4000 4000 `\.\@m @bibit...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.