Paper Citation Record · LEDGER

Understanding Transformer Reasoning Capabilities via Graph Algorithms

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2405.18512.

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

pith.paper-citation-record.v1
2405.18512 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:17:22.425093Z

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

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

5
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 11a81b94-a9f9-48ce-b1fe-5b0ca5479d32 · inbound

Graph-Aware Isomorphic Attention for Adaptive Dynamics in Transformers cites this paper.

Graph-Aware Isomorphic Attention for Adaptive Dynamics in Transformers Understanding Transformer Reasoning Capabilities via Graph Algorithms

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-10T22:17:22.425093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2669e4e7-1f0e-4ab0-8527-94308893de45 · inbound

Metastable Dynamics of Chain-of-Thought Reasoning: Provable Benefits of Search, RL and Distillation cites this paper.

Metastable Dynamics of Chain-of-Thought Reasoning: Provable Benefits of Search, RL and Distillation Understanding Transformer Reasoning Capabilities via Graph Algorithms

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-09T17:37:40.747108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8097cbb-e197-4a3b-b5ea-cb4eb9dceede · inbound

Learning Compositional Functions with Transformers from Easy-to-Hard Data cites this paper.

Learning Compositional Functions with Transformers from Easy-to-Hard Data Understanding Transformer Reasoning Capabilities via Graph Algorithms

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-07T12:46:39.144554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b6ac47f-512a-4b02-841d-ee48babac68c · inbound

Are Large Language Models Good Temporal Graph Learners? cites this paper.

Are Large Language Models Good Temporal Graph Learners? Understanding Transformer Reasoning Capabilities via Graph Algorithms

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-07T11:09:43.915219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a300933b-2284-4661-ac6d-eda5f5ba9374 · inbound

Deep sequence models tend to memorize geometrically; it is unclear why cites this paper.

Deep sequence models tend to memorize geometrically; it is unclear why Understanding Transformer Reasoning Capabilities via Graph Algorithms

Reference 154

Resolution: metadata mismatch; arxiv_id, observed 2026-05-21T20:40:36.252006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d260e0e3-32b2-4357-83f6-63c8eb036388 · inbound

Evaluating LLMs on Large-Scale Graph Property Estimation via Random Walks cites this paper.

Evaluating LLMs on Large-Scale Graph Property Estimation via Random Walks Understanding Transformer Reasoning Capabilities via Graph Algorithms

Reference 75

Resolution: verified exact; arxiv_id, observed 2026-05-09T22:13:57.702159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4a2bfd8d-50cd-4132-ab88-89aa984edea7 · inbound

Lost in Tokenization: Fundamental Trade-offs in Graph Tokenization for Transformers cites this paper.

Lost in Tokenization: Fundamental Trade-offs in Graph Tokenization for Transformers Understanding Transformer Reasoning Capabilities via Graph Algorithms

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-22T07:04:41.439587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.