Paper Citation Record · LEDGER

Probabilistic Tiny Recursive Model

As of 19 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 4 inbound Pith citation observations for arXiv:2605.19943.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2605.19943 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-20T05:39:38.909349Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:11:26.307804Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T00:11:27.738186Z

Reference resolution

24 of 24 outbound references displayed

verified exact15
verified fuzzy8
unresolved0
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bbd1a800-040a-4eea-a640-7c34d9b88cfc · outbound

This paper cites Less is More: Recursive Reasoning with Tiny Networks.

Probabilistic Tiny Recursive Model Less is More: Recursive Reasoning with Tiny Networks

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-05-20T05:43:05.964022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 829c4e6b-20a7-4219-a607-60a37c21c068 · outbound

This paper cites Hierarchical Reasoning Model.

Probabilistic Tiny Recursive Model Hierarchical Reasoning Model

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-05-20T05:43:05.888016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5590fb07-34b8-4146-8f7a-239e13d57da5 · outbound

This paper cites On the Measure of Intelligence.

Probabilistic Tiny Recursive Model On the Measure of Intelligence

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-05-20T05:43:05.990908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 79d332cd-a55e-4c8b-b000-42acd7683492 · outbound

This paper cites ARC-AGI-2: A New Challenge for Frontier AI Reasoning Systems.

Probabilistic Tiny Recursive Model ARC-AGI-2: A New Challenge for Frontier AI Reasoning Systems

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-05-20T05:43:05.983478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1550fded-7222-48d1-bdba-4ce9ad27e22a · outbound

This paper cites Are your reasoning models reasoning or guessing? a mechanistic analysis of hierarchical reasoning models.

Probabilistic Tiny Recursive Model Are your reasoning models reasoning or guessing? a mechanistic analysis of hierarchical reasoning models

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-20T05:43:05.935148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4c34525e-8a27-493d-bdd2-71e63aed45c6 · outbound

This paper cites Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters.

Probabilistic Tiny Recursive Model Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-05-20T05:43:05.921983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 23d21152-da43-4980-9d46-b66b6c8e223d · outbound

This paper cites Adaptive Computation Time for Recurrent Neural Networks.

Probabilistic Tiny Recursive Model Adaptive Computation Time for Recurrent Neural Networks

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-05-20T05:43:05.928902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d545bad8-4d08-4f89-8c85-fd021f22b142 · outbound

This paper cites Pencil puzzle bench: A benchmark for multi-step verifiable reasoning.

Probabilistic Tiny Recursive Model Pencil puzzle bench: A benchmark for multi-step verifiable reasoning

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-20T05:43:05.977229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3e5aa5c7-6be5-4ec5-a1c0-c956ad3cc44a · outbound

This paper cites Rent h100 pcie gpus on vast.ai.https://vast.ai/pricing/gpu/H100-PCIE.

Probabilistic Tiny Recursive Model Rent h100 pcie gpus on vast.ai.https://vast.ai/pricing/gpu/H100-PCIE

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T05:43:24.234491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 584dc326-7136-4771-a6ca-ee79409c9484 · outbound

This paper cites Universal Transformers.

Probabilistic Tiny Recursive Model Universal Transformers

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-05-20T05:43:05.957770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7322113c-ad00-450b-9bc0-0ad23af889d1 · outbound

This paper cites Mixture-of-recursions: Learning dynamic recur- sive depths for adaptive token-level computation.arXiv preprint arXiv:2507.10524.

Probabilistic Tiny Recursive Model Mixture-of-recursions: Learning dynamic recur- sive depths for adaptive token-level computation.arXiv preprint arXiv:2507.10524

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-20T05:43:05.949956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 11ffcd95-bd20-4546-a258-65a3656af75b · outbound

This paper cites Can you learn an algorithm? generalizing from easy to hard problems with recurrent networks.Advances in Neural Information Processing Systems, 34:6695–6706.

Probabilistic Tiny Recursive Model Can you learn an algorithm? generalizing from easy to hard problems with recurrent networks.Advances in Neural Information Processing Systems, 34:6695–6706

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T05:43:24.230205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9cb46333-1476-4beb-96dc-788318417030 · outbound

This paper cites End-to-end algorithm synthesis with recurrent networks: Extrapolation without overthinking.Advances in Neural Information Processing Systems, 35:20232–20242.

Probabilistic Tiny Recursive Model End-to-end algorithm synthesis with recurrent networks: Extrapolation without overthinking.Advances in Neural Information Processing Systems, 35:20232–20242

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T05:43:24.237995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 041ff2a6-c4d8-475a-b12d-0940b65aabb3 · outbound

This paper cites Rethinking deep thinking: Stable learning of algorithms using lipschitz constraints.Advances in Neural Information Processing Systems, 37:97027–97052.

Probabilistic Tiny Recursive Model Rethinking deep thinking: Stable learning of algorithms using lipschitz constraints.Advances in Neural Information Processing Systems, 37:97027–97052

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T05:43:24.242478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2bf308c6-4a28-4a1d-9e32-7e2cfededcb2 · outbound

This paper cites Form follows function: Recursive stem model.

Probabilistic Tiny Recursive Model Form follows function: Recursive stem model

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-20T05:43:05.895066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 729ba00e-b2db-4dcf-933f-9829dcd58519 · outbound

This paper cites Learning multi-step reasoning via persistent latent state propagation.

Probabilistic Tiny Recursive Model Learning multi-step reasoning via persistent latent state propagation

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T05:43:24.218348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f4a5b635-650c-4609-afe1-868107cbdc67 · outbound

This paper cites Training Large Language Models to Reason in a Continuous Latent Space.

Probabilistic Tiny Recursive Model Training Large Language Models to Reason in a Continuous Latent Space

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-05-20T05:43:05.882378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c783708a-a08c-4799-b1cc-db117c3b26f0 · outbound

This paper cites Chain-of-thought prompting elicits reasoning in large language models.

Probabilistic Tiny Recursive Model Chain-of-thought prompting elicits reasoning in large language models

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T05:43:24.222826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a022c526-8f05-4d5a-960e-fb6a844ba9cd · outbound

This paper cites Reasoning by superposition: A theoretical perspective on chain of continuous thought.CoRR, abs/2505.12514.

Probabilistic Tiny Recursive Model Reasoning by superposition: A theoretical perspective on chain of continuous thought.CoRR, abs/2505.12514

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-20T05:43:05.914419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a38f8d6f-7206-4c3b-9e7a-33a480131a0a · outbound

This paper cites Measuring Faithfulness in Chain-of-Thought Reasoning.

Probabilistic Tiny Recursive Model Measuring Faithfulness in Chain-of-Thought Reasoning

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-05-20T05:43:05.900954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5de14b6c-8e1f-4937-b5c3-9ee0e0899c22 · outbound

This paper cites Reasoning Models Don't Always Say What They Think.

Probabilistic Tiny Recursive Model Reasoning Models Don't Always Say What They Think

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-05-20T05:43:05.907422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 14f5aa1a-8fff-4fa2-8a7b-9aea145ffa3f · outbound

This paper cites Generative recursive reasoning models.ICLR 2026 Workshop on AI with Recursive Self-Improvement.

Probabilistic Tiny Recursive Model Generative recursive reasoning models.ICLR 2026 Workshop on AI with Recursive Self-Improvement

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T05:43:24.226550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a240f028-d6f8-4347-a3a5-ef4214c956cd · outbound

This paper cites Recursive reasoning as attractor landscape search: Mechanistic dynamics of the tiny recursive model.Workshop on Latent & Implicit Think- ing – Going Beyond CoT Reasoning.

Probabilistic Tiny Recursive Model Recursive reasoning as attractor landscape search: Mechanistic dynamics of the tiny recursive model.Workshop on Latent & Implicit Think- ing – Going Beyond CoT Reasoning

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T05:43:24.249338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 90e1b76d-7303-47c6-892d-5078c41f0b45 · outbound

This paper cites an unresolved cited work.

Probabilistic Tiny Recursive Model Unresolved cited work

Reference 24

Resolution: malformed identifier; raw_fallback, observed 2026-05-20T05:43:24.214250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation ddb2652f-d714-43f8-8d56-7cc403ef60b9 · inbound

Energy-guided Recursive Model cites this paper.

Energy-guided Recursive Model Probabilistic Tiny Recursive Model

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-14T14:06:00.410527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62d0a3ea-585d-4c54-bd28-a3f8e50e16f6 · inbound

Energy-guided Recursive Model cites this paper.

Energy-guided Recursive Model Probabilistic Tiny Recursive Model

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T07:25:08.780440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e664831-5642-4d49-b59b-3d9d1f4502dd · inbound

Reassessing Muon for Matrix Factorization cites this paper.

Reassessing Muon for Matrix Factorization Probabilistic Tiny Recursive Model

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T04:22:54.948927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e91b9e6-d531-4936-bd7f-b9a8727341ff · inbound

Recursive Vision Language Models for General Symbolic Reasoning cites this paper.

Recursive Vision Language Models for General Symbolic Reasoning Probabilistic Tiny Recursive Model

Reference 27

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T00:11:27.815663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.