Paper Citation Record · LEDGER

Reinforcement Learning in hyperbolic space for multi-step reasoning

As of 14 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2507.16864.

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

pith.paper-citation-record.v1
2507.16864 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:24:27.883078Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-09T23:51:47.724033Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

30 of 30 outbound references displayed

verified exact0
verified fuzzy1
unresolved29
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 9f291b92-9ff4-42fc-892d-ecaf5592c824 · outbound

This paper cites Advancing Reasoning in Large Language Models: Promising Methods and Approaches.

Reinforcement Learning in hyperbolic space for multi-step reasoning Advancing Reasoning in Large Language Models: Promising Methods and Approaches

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:25.191374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e791a1a2-9549-4505-a103-4353d0e036f4 · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:30.736509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 413e08c6-4fc0-45ed-8c58-1983936e23ed · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:30.656103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 03a384d6-6603-4d12-a5ca-d098dad036e3 · outbound

This paper cites Multi-step reinforcement learning: A unifying algorithm.

Reinforcement Learning in hyperbolic space for multi-step reasoning Multi-step reinforcement learning: A unifying algorithm

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:24:30.474757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6da6aa9e-b692-4407-a50d-263863717101 · outbound

This paper cites DeepSeek-V2: A Strong, Economical, and Efficient Mixture-of-Experts Language Model.

Reinforcement Learning in hyperbolic space for multi-step reasoning DeepSeek-V2: A Strong, Economical, and Efficient Mixture-of-Experts Language Model

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:25.721846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aaffbf05-6329-479d-bf10-f10098639611 · outbound

This paper cites Process-Supervised Reinforcement Learning for Code Generation.

Reinforcement Learning in hyperbolic space for multi-step reasoning Process-Supervised Reinforcement Learning for Code Generation

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:25.819837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c9a4a8c-d07e-4988-a050-86cb06ce2e57 · outbound

This paper cites System 2 Reasoning for Human-AI Alignment: Generality and Adaptivity via ARC-AGI.

Reinforcement Learning in hyperbolic space for multi-step reasoning System 2 Reasoning for Human-AI Alignment: Generality and Adaptivity via ARC-AGI

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:25.874748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47f297f6-ad03-4245-9655-2cd4e3090e17 · outbound

This paper cites Mechanistic Interpretability for AI Safety -- A Review.

Reinforcement Learning in hyperbolic space for multi-step reasoning Mechanistic Interpretability for AI Safety -- A Review

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:25.984891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0356ed62-c5dd-4f6b-91f6-952dee763cc6 · outbound

This paper cites Transformers in Reinforcement Learning: A Survey.

Reinforcement Learning in hyperbolic space for multi-step reasoning Transformers in Reinforcement Learning: A Survey

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:26.050901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5700f723-f5e9-4840-b5d7-8340f3c30fef · outbound

This paper cites A Survey on Transformers in Reinforcement Learning.

Reinforcement Learning in hyperbolic space for multi-step reasoning A Survey on Transformers in Reinforcement Learning

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:26.139099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fbb0660-e539-4f30-93da-fcf734f3e99a · outbound

This paper cites Deep Transformer Q-Networks for Partially Observable Reinforcement Learning.

Reinforcement Learning in hyperbolic space for multi-step reasoning Deep Transformer Q-Networks for Partially Observable Reinforcement Learning

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:26.214913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae8e3e84-d7d0-42fe-886a-3e73e6e824f5 · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:30.322606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3febb1cf-f523-4cb9-8de8-7d08acdfd19c · outbound

This paper cites TransDreamer: Reinforcement Learning with Transformer World Models.

Reinforcement Learning in hyperbolic space for multi-step reasoning TransDreamer: Reinforcement Learning with Transformer World Models

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:26.376531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f2d7c5d-0f5e-4bcf-94f6-8b4c9700e7ec · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:30.170128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3a5f4cac-de24-471d-8db3-3581bef3df7d · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:30.007428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a906c0a1-69e0-4378-930d-5c71a3242d7a · outbound

This paper cites Understanding the Language Model to Solve the Symbolic Multi-Step Reasoning Problem from the Perspective of Buffer Mechanism.

Reinforcement Learning in hyperbolic space for multi-step reasoning Understanding the Language Model to Solve the Symbolic Multi-Step Reasoning Problem from the Perspective of Buffer Mechanism

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:26.585807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b41e75c3-aeea-4c77-91fd-e1d67ff4f3eb · outbound

This paper cites Enhancing Multi-Step Reasoning Abilities of Language Models through Direct Q-Function Optimization.

Reinforcement Learning in hyperbolic space for multi-step reasoning Enhancing Multi-Step Reasoning Abilities of Language Models through Direct Q-Function Optimization

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:26.666597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de208ac0-a99d-4c4e-9d92-bd2b09d0416c · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:29.852764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f0e5f976-146d-40fe-9e6a-ced587c64e51 · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:29.689007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation efb3d764-7090-4e84-8a54-65a4ec6c0b1c · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:29.547578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8cc50101-0e0b-45a8-81f1-4a2740de302c · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:29.386796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ee9628fd-abe5-4c13-92e9-51b449639072 · outbound

This paper cites Poincar\'e GloVe: Hyperbolic Word Embeddings.

Reinforcement Learning in hyperbolic space for multi-step reasoning Poincar\'e GloVe: Hyperbolic Word Embeddings

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:27.151997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86128f63-7e99-4d89-b410-f9c31ad43f95 · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:29.249154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 19b80823-8346-4964-95f5-fd171b1c823b · outbound

This paper cites TransMLA: Multi-Head Latent Attention Is All You Need.

Reinforcement Learning in hyperbolic space for multi-step reasoning TransMLA: Multi-Head Latent Attention Is All You Need

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:27.310795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c910248f-3e95-48f7-b327-122eeb0e90bb · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:29.068005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0fd0795c-86f6-41e1-b087-1f98c1a8ac92 · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:28.881615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cf8a0260-50bd-43bf-a72c-03e63185ed2c · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:28.715723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7e0152b2-7e3e-4348-be31-8bd04f407e02 · outbound

This paper cites Offline Reinforcement Learning for LLM Multi-Step Reasoning.

Reinforcement Learning in hyperbolic space for multi-step reasoning Offline Reinforcement Learning for LLM Multi-Step Reasoning

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:27.704354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3495c8fb-34ed-46ca-86e3-adfeb0792238 · outbound

This paper cites Transformers in Reinforcement Learning: A Survey.

Reinforcement Learning in hyperbolic space for multi-step reasoning Transformers in Reinforcement Learning: A Survey

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T15:24:27.790125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e63b8d5-7ed3-4a55-99b9-9c3cde6264ca · outbound

This paper cites an unresolved cited work.

Reinforcement Learning in hyperbolic space for multi-step reasoning Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:24:28.562546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation d5b84770-5e8f-45f9-bf6d-9cdc8a10a36d · inbound

HypEHR: Hyperbolic Modeling of Electronic Health Records for Efficient Question Answering cites this paper.

HypEHR: Hyperbolic Modeling of Electronic Health Records for Efficient Question Answering Reinforcement Learning in hyperbolic space for multi-step reasoning

Reference 118

Resolution: verified exact; arxiv_id, observed 2026-05-09T23:54:45.604319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.