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Paper Citation Record · LEDGER

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models

As of 8 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2607.22646.

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pith.paper-citation-record.v1
2607.22646 v1

Coverage vector

measured 53 of 53 reference resolution

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measured 53 of 53 standing notices

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

53 of 53 outbound references displayed

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Outbound references

Observation 7f631c19-d856-43db-a864-e262afe4c9ba · outbound

This paper cites Fine-grained analysis of sentence embeddings using auxiliary prediction tasks.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Fine-grained analysis of sentence embeddings using auxiliary prediction tasks

Reference 1

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Observation 7284c72d-5aad-4231-951d-fd0fbcbb0875 · outbound

This paper cites Transformers as implicit state estimators: In-context learning in dynamical systems.Transactions on Machine Learning Research, 2026.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Transformers as implicit state estimators: In-context learning in dynamical systems.Transactions on Machine Learning Research, 2026

Reference 2

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This paper cites What learning algorithm is in-context learning? investigations with linear models.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models What learning algorithm is in-context learning? investigations with linear models

Reference 3

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Observation 055a8db7-e6d6-4642-abc2-b40e32ebbf21 · outbound

This paper cites Understanding intermediate layers using linear classifier probes, 2017.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Understanding intermediate layers using linear classifier probes, 2017

Reference 4

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Observation 7ce2e015-b49d-4509-9b31-fe5c0caf6246 · outbound

This paper cites Transformers as statisticians: Provable in-context learning with in-context algorithm selection.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Transformers as statisticians: Provable in-context learning with in-context algorithm selection

Reference 5

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Observation 5d38cc5d-6ee0-474d-b2df-38f0b04d22c4 · outbound

This paper cites A maximization technique occurring in the statistical analysis of probabilistic functions of markov chains.The annals of mathematical statistics, 41(1):164–171, 1970.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models A maximization technique occurring in the statistical analysis of probabilistic functions of markov chains.The annals of mathematical statistics, 41(1):164–171, 1970

Reference 6

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Observation 5bc0ff0e-cdc1-48f9-9298-0873790dd731 · outbound

This paper cites Probing classifiers: Promises, shortcomings, and advances.Computational Linguistics, 48(1):207–219, 2022.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Probing classifiers: Promises, shortcomings, and advances.Computational Linguistics, 48(1):207–219, 2022

Reference 7

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Observation fe2fc961-b621-48d0-b238-f6157fe99718 · outbound

This paper cites What you can cram into a single $&!#* vector: Probing sentence embeddings for linguistic properties.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models What you can cram into a single $&!#* vector: Probing sentence embeddings for linguistic properties

Reference 8

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Cover and Joy A

Reference 9

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Unresolved cited work

Reference 10

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This paper cites Transformers learn latent mixture models in-context via mirror descent.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Transformers learn latent mixture models in-context via mirror descent

Reference 11

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This paper cites Edelman, eran malach, and Surbhi Goel.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Edelman, eran malach, and Surbhi Goel

Reference 12

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Observation 0592f36f-0d82-470e-8f85-35694a46e638 · outbound

This paper cites What one cannot, two can: Two-layer trans- formers provably represent induction heads on any-order markov chains.arXiv preprint arXiv:2508.07208, 2025.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models What one cannot, two can: Two-layer trans- formers provably represent induction heads on any-order markov chains.arXiv preprint arXiv:2508.07208, 2025

Reference 13

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This paper cites A mathematical framework for transformer circuits.Transformer Circuits Thread,.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models A mathematical framework for transformer circuits.Transformer Circuits Thread,

Reference 14

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Bayesian bandwidth estimation and semi-metric selection for a functional partial linear model with unknown error density

Reference 15

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Observation 30ab98ac-3857-4609-932a-ed6a75d9d89c · outbound

This paper cites What can transformers learn in-context? a case study of simple function classes.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models What can transformers learn in-context? a case study of simple function classes

Reference 16

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This paper cites Causal abstractions of neural networks.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Causal abstractions of neural networks

Reference 17

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This paper cites Finding alignments between interpretable causal variables and distributed neural representations.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Finding alignments between interpretable causal variables and distributed neural representations

Reference 18

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This paper cites Hidden markov models: Pitfalls and opportunities in ecology.Methods in Ecology and Evolution, 14(1):43–56, 2023.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Hidden markov models: Pitfalls and opportunities in ecology.Methods in Ecology and Evolution, 14(1):43–56, 2023

Reference 19

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Transformers as Multi-task Learners: Decoupling Features in Hidden Markov Models

Reference 20

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This paper cites A spectral algorithm for learning hidden markov models.Journal of Computer and System Sciences, 78(5):1460–1480, 2012.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models A spectral algorithm for learning hidden markov models.Journal of Computer and System Sciences, 78(5):1460–1480, 2012

Reference 21

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models On Limitation of Transformer for Learning HMMs

Reference 22

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This paper cites Visualisation and ’diagnostic classifiers’ reveal how recurrent and recursive neural networks process hierarchical structure (extended abstract).

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Visualisation and ’diagnostic classifiers’ reveal how recurrent and recursive neural networks process hierarchical structure (extended abstract)

Reference 23

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models On the origins of linear representations in large language models

Reference 24

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This paper cites Emergent world models and latent variable estimation in chess-playing lan- guage models.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Emergent world models and latent variable estimation in chess-playing lan- guage models

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Li, Zifan Carl Guo, and Jacob Andreas

Reference 26

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Emergent world representations: Exploring a sequence model trained on a synthetic task

Reference 27

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This paper cites From kepler to newton: Inductive biases guide learned world models in transformers, 2026.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models From kepler to newton: Inductive biases guide learned world models in transformers, 2026

Reference 28

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This paper cites Bridging the Usability Gap: Theoretical and Methodological Advances for Spectral Learning of Hidden Markov Models.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Bridging the Usability Gap: Theoretical and Methodological Advances for Spectral Learning of Hidden Markov Models

Reference 29

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Attention with markov: A curious case of single-layer transformers

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This paper cites Uncovering ecological state dynamics with hidden markov models.Ecology letters, 23(12):1878–1903, 2020.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Uncovering ecological state dynamics with hidden markov models.Ecology letters, 23(12):1878–1903, 2020

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Progress mea- sures for grokking via mechanistic interpretability

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Emergent linear representations in world models of self-supervised sequence models

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Riechers, Daniel Filan, and Adam Shai

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Transformers on markov data: Constant depth suffices

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This paper cites Finite sample identification of partially observed bilinear dynamical systems.arXiv preprint arXiv:2501.07652, 2025.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Finite sample identification of partially observed bilinear dynamical systems.arXiv preprint arXiv:2501.07652, 2025

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Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Unresolved cited work

Reference 37

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Observation 19a35616-e9f5-4e7f-beae-5702a56bcc74 · outbound

This paper cites Chang, Ashesh Rambachan, and Sendhil Mullainathan.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Chang, Ashesh Rambachan, and Sendhil Mullainathan

Reference 38

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Observation 60b03b04-346f-49ce-85f2-3a1766e2527b · outbound

This paper cites Learning In-context n-grams with Transformers: Sub-n-grams Are Near-stationary Points.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Learning In-context n-grams with Transformers: Sub-n-grams Are Near-stationary Points

Reference 39

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Observation 7af41a46-775e-400a-8893-099be0bba0aa · outbound

This paper cites Interpreting the Repeated Token Phenomenon in Large Language Models.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Interpreting the Repeated Token Phenomenon in Large Language Models

Reference 40

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source=pdf_text observed=2026-08-02T10:12:29.133133Z digest=sha256:1bf23f47f313297d1c97397298050ec846e704a0789d325b2506d9b048da9ef8

Observation ce94cf0b-5000-4cf0-9822-420b1ce793b7 · outbound

This paper cites Riechers, Lucas Teixeira, Alexander Gietelink Oldenziel, and Sarah Marzen.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Riechers, Lucas Teixeira, Alexander Gietelink Oldenziel, and Sarah Marzen

Reference 41

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source=pdf_text observed=2026-08-02T10:12:29.123812Z digest=sha256:91a9215e0082e07104b90840b039dd4c8fb8cb51007b39178c72edd3371738c1

Observation 2760ea5d-4201-4457-9296-929f52203e48 · outbound

This paper cites A hidden markov model for space-time precipitation.Water Resources Research, 27(8):1917–1923, 1991.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models A hidden markov model for space-time precipitation.Water Resources Research, 27(8):1917–1923, 1991

Reference 42

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source=pdf_text observed=2026-08-02T10:12:29.139406Z digest=sha256:0e60e1c6a5698e7ee7a5bc916cd9a5e8b08870d82f9a08ec67e6092db7804c94

Observation 3f951cf7-62b1-4548-8fd0-1878838111a6 · outbound

This paper cites Towards Best Practices of Activation Patching in Language Models: Metrics and Methods.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Towards Best Practices of Activation Patching in Language Models: Metrics and Methods

Reference 45

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Observation b7c012dc-495e-43fc-a351-836784248fe1 · outbound

This paper cites an unresolved cited work.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Unresolved cited work

Reference 47

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source=pdf_text observed=2026-08-02T10:12:29.143448Z digest=sha256:4ea50e9bff62a9798f2a6a3fd53f267a988b3beeaf36f88175799294b0ff0fc6

Observation a8356188-0210-4c27-896a-1e68775b1861 · outbound

This paper cites , t−1: • Set eb′ k =f tri(o1:t, ebk, ok).

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models , t−1: • Set eb′ k =f tri(o1:t, ebk, ok)

Reference 48

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source=pdf_text observed=2026-08-02T10:12:29.146396Z digest=sha256:2b675a260ba13b0a09b2be0b7723e2e2b4fd2dfcf2805a4814fdb24ffbb47dc2

Observation 8011ce58-e325-4411-aa32-3e539ab4463a · outbound

This paper cites • Setc o =f bi(o1:t, ebo t+1).

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models • Setc o =f bi(o1:t, ebo t+1)

Reference 49

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source=pdf_text observed=2026-08-02T10:12:29.149575Z digest=sha256:4e0b4c285234261c0e009ea6204d70ab08bfc18f435abf88619037777c125dc8

Observation ba06a9fb-d3d5-4c5d-9706-7cd5b280fe61 · outbound

This paper cites Normalize overo∈ O.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Normalize overo∈ O

Reference 50

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source=pdf_text observed=2026-08-02T10:12:29.152223Z digest=sha256:dfe1e6416ec4e0e1791940c189e4edc3ac48b6f35aa63f468ac9979865f5a637

Observation 7e289956-e5c3-4f70-8cdf-2d38e2257d3c · outbound

This paper cites We need at least (32, 128), and increasing beyond (64,256) does not lead to better performance.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models We need at least (32, 128), and increasing beyond (64,256) does not lead to better performance

Reference 51

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source=pdf_text observed=2026-08-02T10:12:29.155542Z digest=sha256:86e71b0a4242806b8fcfdfa0c9f0ffb05056bcca0319b76520a8580d01bb6abf

Observation bbe10af3-d4a6-45c8-b982-6d62737561be · outbound

This paper cites Guidelines: • The answer [N/A] means that the paper does not involve crowdsourcing nor research with human subjects.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Guidelines: • The answer [N/A] means that the paper does not involve crowdsourcing nor research with human subjects

Reference 53

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source=pdf_text observed=2026-08-02T10:12:29.164418Z digest=sha256:669ec71f5dcd828a9fe5fe4cd74e0966e64d770a3bec426e86aaa47bae632c63

Observation 9b5da672-25d9-4760-a1c1-8666c6a76e4b · outbound

This paper cites URL https://doi.org/10.24963/ijcai.2018/796.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models URL https://doi.org/10.24963/ijcai.2018/796

Reference 2018

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source=pdf_text observed=2026-08-02T10:12:29.076883Z digest=sha256:46dbc678725bd4135482e5c10048ed0054168bffba82d650dfa3ef9ab7c22afc

Observation 7270d7da-52f5-46b0-8700-400d3a22ec16 · outbound

This paper cites an unresolved cited work.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Unresolved cited work

Reference 2021

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source=pdf_text observed=2026-08-02T10:12:29.040580Z digest=sha256:3be9dfb460142565de24bbb5405d3c9603e8b0bb1e3edd5135ea7cd83bae859f

Observation ece68604-b140-463d-93f1-364d4b9cd282 · outbound

This paper cites an unresolved cited work.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models Unresolved cited work

Reference 2022

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source=pdf_text observed=2026-08-02T10:12:29.050520Z digest=sha256:912bf7fbedbc2655a0a366457f7d1c4884cf850fe691cf2d57f3c91dde5ef9cd

Observation 2ce97ef0-bd26-4f97-b437-bb68ea134657 · outbound

This paper cites AAAA.

Extracting Algorithms in Pre-trained LLMs: A Case on Hidden Markov Models AAAA

Reference 4096

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Pith citing papers

No inbound Pith citation observations are available.