Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-18T12:24:43.780611Z
Paper Citation Record · LEDGER
Deep Thinking by Markov Chain of Continuous Thoughts
As of 5 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 5 inbound Pith citation observations for arXiv:2509.25020.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-13T15:50:49.083652Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-06-29T08:03:13.910868Z
Reference resolution
16 of 16 outbound references displayed
- verified exact12
- verified fuzzy3
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d4218d0d-a941-4870-b49a-f882f4be3fa5 · outbound
This paper cites Training Verifiers to Solve Math Word Problems.
Deep Thinking by Markov Chain of Continuous Thoughts Training Verifiers to Solve Math Word Problems
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-05-18T12:26:22.198053Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c8b36047-d65b-4744-ad3e-dd19c0ab51d6 · outbound
This paper cites Sparse Autoencoders Find Highly Interpretable Features in Language Models.
Deep Thinking by Markov Chain of Continuous Thoughts Sparse Autoencoders Find Highly Interpretable Features in Language Models
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-05-18T12:26:22.191532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation fc5713b5-68b7-4cdd-bc49-5a3eae9da7fa · outbound
This paper cites Implicit Chain of Thought Reasoning via Knowledge Distillation.
Deep Thinking by Markov Chain of Continuous Thoughts Implicit Chain of Thought Reasoning via Knowledge Distillation
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T12:26:22.273178Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0338c000-c97a-41e1-98f2-fe16c8746c56 · outbound
This paper cites From Explicit CoT to Implicit CoT: Learning to Internalize CoT Step by Step.
Deep Thinking by Markov Chain of Continuous Thoughts From Explicit CoT to Implicit CoT: Learning to Internalize CoT Step by Step
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-05-18T12:26:22.242493Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f363c52d-716b-4b1f-8d5f-8ada4991e04f · outbound
This paper cites Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approach.
Deep Thinking by Markov Chain of Continuous Thoughts Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approach
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-05-18T12:26:22.214437Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation aad71119-6148-4d74-8bca-e1562b618e7b · outbound
This paper cites Training Large Language Models to Reason in a Continuous Latent Space.
Deep Thinking by Markov Chain of Continuous Thoughts Training Large Language Models to Reason in a Continuous Latent Space
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-05-18T12:26:22.221780Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation cfec7f2f-f46e-42af-8140-991f11250563 · outbound
This paper cites Auto-Encoding Variational Bayes.
Deep Thinking by Markov Chain of Continuous Thoughts Auto-Encoding Variational Bayes
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-05-18T12:26:22.263623Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6100034c-b546-4f5a-be15-541fd8c7f259 · outbound
This paper cites Mawps: A math word problem repository.
Deep Thinking by Markov Chain of Continuous Thoughts Mawps: A math word problem repository
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T12:26:23.312684Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f7acafc3-e7b8-4789-8e56-56aa1b3cdf73 · outbound
This paper cites A Survey on Diffusion Language Models.
Deep Thinking by Markov Chain of Continuous Thoughts A Survey on Diffusion Language Models
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-06-05T02:16:19.040077Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d874540f-529c-4655-81ed-48e5e323e64a · outbound
This paper cites an unresolved cited work.
Deep Thinking by Markov Chain of Continuous Thoughts Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T12:26:23.309601Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c97523b9-b70f-44f3-aca6-e45631a69e86 · outbound
This paper cites Solving general arithmetic word problems.
Deep Thinking by Markov Chain of Continuous Thoughts Solving general arithmetic word problems
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T12:26:23.306207Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f6242436-7e0f-4783-b00b-a02a83103571 · outbound
This paper cites CODI: Compressing Chain-of-Thought into Continuous Space via Self-Distillation.
Deep Thinking by Markov Chain of Continuous Thoughts CODI: Compressing Chain-of-Thought into Continuous Space via Self-Distillation
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-05-18T12:26:22.228188Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c3cca5f7-e66f-425d-8c3a-61dcc0c5c649 · outbound
This paper cites arXiv preprint arXiv:2505.16552 (2025).
Deep Thinking by Markov Chain of Continuous Thoughts arXiv preprint arXiv:2505.16552 (2025)
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T12:26:22.205479Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8b03d6a4-258e-4867-b688-d9eaabdfb136 · outbound
This paper cites Qwen2 Technical Report.
Deep Thinking by Markov Chain of Continuous Thoughts Qwen2 Technical Report
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-05-18T12:26:22.256853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation bfdd1ecf-5861-4c29-81b0-83cb6f12f845 · outbound
This paper cites Towards Large Reasoning Models: A Survey of Reinforced Reasoning with Large Language Models.
Deep Thinking by Markov Chain of Continuous Thoughts Towards Large Reasoning Models: A Survey of Reinforced Reasoning with Large Language Models
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-05-18T12:26:22.249453Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c7b18d4c-1b1f-4a91-a09d-56f7d30c2c6c · outbound
This paper cites The training batch size is 256, and both training phases run for 10 epochs.
Deep Thinking by Markov Chain of Continuous Thoughts The training batch size is 256, and both training phases run for 10 epochs
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T12:26:23.303032Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Pith citing papers
Observation 48978d8c-67a6-4dfa-a33e-6164cc545e65 · inbound
The Latent Space: Foundation, Evolution, Mechanism, Ability, and Outlook cites this paper.
The Latent Space: Foundation, Evolution, Mechanism, Ability, and Outlook Deep Thinking by Markov Chain of Continuous Thoughts
Reference 121
- Resolution
- unresolved
- no resolver link, observed 2026-07-13T14:03:01.974171Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 75954b26-a491-4bda-8439-fde0adff98cb · inbound
Internalized Reasoning for Long-Context Visual Document Understanding cites this paper.
Internalized Reasoning for Long-Context Visual Document Understanding Deep Thinking by Markov Chain of Continuous Thoughts
Reference 29
- Resolution
- verified exact
- local_arxiv, observed 2026-05-13T23:53:28.023593Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 79909a3c-f7ca-4669-80c5-7d0ed1b06491 · inbound
Internalized Reasoning for Long-Context Visual Document Understanding cites this paper.
Internalized Reasoning for Long-Context Visual Document Understanding Deep Thinking by Markov Chain of Continuous Thoughts
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-07-13T15:50:49.083652Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4eba192-7046-489e-b751-c6ef968db16b · inbound
RuPLaR : Efficient Latent Compression of LLM Reasoning Chains with Rule-Based Priors From Multi-Step to One-Step cites this paper.
RuPLaR : Efficient Latent Compression of LLM Reasoning Chains with Rule-Based Priors From Multi-Step to One-Step Deep Thinking by Markov Chain of Continuous Thoughts
Reference 9
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-05-12T06:31:27.162103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 40dd24f1-38bf-4777-9f01-043f2610249e · inbound
Unlocking the Working Memory of Large Language Models for Latent Reasoning cites this paper.
Unlocking the Working Memory of Large Language Models for Latent Reasoning Deep Thinking by Markov Chain of Continuous Thoughts
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-06-29T08:03:13.913064Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.