The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
An Introduction to the Ising Model
Abstract
(1987). An Introduction to the Ising Model. The American Mathematical Monthly: Vol. 94, No. 10, pp. 937-959.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Phase Transitions and Critical Phenomena
(2016) · Statistical and Thermal Physics · doi:10.1201/9781439850541-13 · Cited by 11,176
Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
Onsager, L. (1944) · Physical Review · doi:10.1103/physrev.65.117 · Cited by 6,510
Exactly Solved Models in Statistical Mechanics
Baxter, R. J. (1985) · Series on Advances in Statistical Mechanics · doi:10.1142/9789814415255_0002 · Cited by 5,611
Beitrag zur Theorie des Ferromagnetismus
Ising, E. (1925) · Zeitschrift für Physik · doi:10.1007/bf02980577 · Cited by 3,871
(2016) · Foundations of Physically Based Modeling and Animation · doi:10.1201/9781315373140-16 · Cited by 3,267
Liggett, T. M. (1985) · Grundlehren der mathematischen Wissenschaften · doi:10.1007/978-1-4613-8542-4 · Cited by 2,942
Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
Lee, T. D., & Yang, C. N. (1952) · Physical Review · doi:10.1103/physrev.87.410 · Cited by 2,228
An introduction to lattice gauge theory and spin systems
Kogut, J. B. (1979) · Reviews of Modern Physics · doi:10.1103/revmodphys.51.659 · Cited by 2,029
Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
Yang, C. N., & Lee, T. D. (1952) · Physical Review · doi:10.1103/physrev.87.404 · Cited by 1,941
Statistical Mechanics: Rigorous Results
Ruelle, D. P. (1969) · UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno · doi:10.1142/4090#t=toc · Cited by 1,897
Cited by
An Introduction to Symbolic Dynamics and Coding
Lind, D., & Marcus, B. (2021) · Cambridge University Press eBooks · doi:10.1017/9781108899727 · Cited by 2,696
Polynomial-Time Approximation Algorithms for the Ising Model
Jerrum, M., & Sinclair, A. (1993) · SIAM Journal on Computing · doi:10.1137/0222066 · Cited by 548
Multi-Scale Modeling of Tissues Using CompuCell3D
Swat, M. H., Thomas, G. L., Belmonte, J. M., Shirinifard, A., Hmeljak, D., & Glazier, J. A. (2012) · Methods in Cell Biology · doi:10.1016/b978-0-12-388403-9.00013-8 · Cited by 511
Being Critical of Criticality in the Brain
Beggs, J. M., & Timme, N. (2012) · Frontiers in Physiology · doi:10.3389/fphys.2012.00163 · Cited by 494
Bayesian Inverse Reinforcement Learning
(2025) · Partially Observed Markov Decision Processes · doi:10.1017/9781009449441.027 · Cited by 444
Metadata
- Authors
- Cipra, B. A.
- Venue
- The American Mathematical Monthly
- Publisher
- Informa UK Limited
- Published
- 1987-12
- Volume
- 94
- Issue
- 10
- Pages
- 937-959
- ISSN
- 0002-9890 (ISSN-L)
- 1930-0972
- OpenAlex
- W2075372638
- Cited by
- 419
- References
- 28
- FWCI
- 0.49
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: An Introduction to the Ising Model. https://app.cochat.ai/papers/10.1080/00029890.1987.12000742
- The paper
- Cipra, B. A. (1987). An Introduction to the Ising Model. The American Mathematical Monthly. https://doi.org/10.1080/00029890.1987.12000742
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.