Paper Citation Record · LEDGER

Spectral Journey: How Transformers Predict the Shortest Path

As of 10 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2502.08794.

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

pith.paper-citation-record.v1
2502.08794 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T23:44:10.870776Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T10:37:45.355872Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T10:39:38.100944Z

Reference resolution

20 of 20 outbound references displayed

verified exact1
verified fuzzy2
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 39b818a4-8f9d-403d-9f94-d21265c933b7 · outbound

This paper cites GPT-4 Technical Report.

Spectral Journey: How Transformers Predict the Shortest Path GPT-4 Technical Report

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.785688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b653afd-8e78-47c6-b0bd-70e36d2dc4a6 · outbound

This paper cites Grokking modular arithmetic.

Spectral Journey: How Transformers Predict the Shortest Path Grokking modular arithmetic

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.807361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c01f578c-b47d-4325-b64f-6cacf7e90fd0 · outbound

This paper cites A Implies B: Circuit Analysis in LLMs for Propositional Logical Reasoning.

Spectral Journey: How Transformers Predict the Shortest Path A Implies B: Circuit Analysis in LLMs for Propositional Logical Reasoning

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.815820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38d1109d-318d-4081-9145-4ad08567a585 · outbound

This paper cites LLMs Can't Plan, But Can Help Planning in LLM-Modulo Frameworks.

Spectral Journey: How Transformers Predict the Shortest Path LLMs Can't Plan, But Can Help Planning in LLM-Modulo Frameworks

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.819742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f0c4c2f-e15f-4ad8-9d4f-1d0d810c951d · outbound

This paper cites Towards an Understanding of Stepwise Inference in Transformers: A Synthetic Graph Navigation Model.

Spectral Journey: How Transformers Predict the Shortest Path Towards an Understanding of Stepwise Inference in Transformers: A Synthetic Graph Navigation Model

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.823420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61c7f312-da73-4548-b590-670f85b75f4f · outbound

This paper cites The CLRS-Text Algorithmic Reasoning Language Benchmark.

Spectral Journey: How Transformers Predict the Shortest Path The CLRS-Text Algorithmic Reasoning Language Benchmark

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.827066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c32f891-3e89-45c4-b64b-937f3bcb1067 · outbound

This paper cites Proving Test Set Contamination in Black Box Language Models.

Spectral Journey: How Transformers Predict the Shortest Path Proving Test Set Contamination in Black Box Language Models

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.838810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90a431ae-31c9-4481-9eea-6ea3fe575b05 · outbound

This paper cites Let Your Graph Do the Talking: Encoding Structured Data for LLMs.

Spectral Journey: How Transformers Predict the Shortest Path Let Your Graph Do the Talking: Encoding Structured Data for LLMs

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.842813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11426ca4-a69a-4e81-a4de-c65aa9cba6a6 · outbound

This paper cites RoFormer: Enhanced Transformer with Rotary Position Embedding.

Spectral Journey: How Transformers Predict the Shortest Path RoFormer: Enhanced Transformer with Rotary Position Embedding

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.850763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16a9aa5e-87c9-49b9-85b6-01fb81643e67 · outbound

This paper cites an unresolved cited work.

Spectral Journey: How Transformers Predict the Shortest Path Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.854904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f2a7915-6025-4754-a895-f664a103f902 · outbound

This paper cites Llama 2: Open Foundation and Fine-Tuned Chat Models.

Spectral Journey: How Transformers Predict the Shortest Path Llama 2: Open Foundation and Fine-Tuned Chat Models

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.858844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf5d09d6-6006-4a19-8c48-5ca51cf6d0ae · outbound

This paper cites Physics of Language Models: Part 2.1, Grade-School Math and the Hidden Reasoning Process.

Spectral Journey: How Transformers Predict the Shortest Path Physics of Language Models: Part 2.1, Grade-School Math and the Hidden Reasoning Process

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.867138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd0f5260-1c3a-4b45-90c3-a0ec2bbeca35 · outbound

This paper cites cc/paper_files/paper/2021/file/ f1c1592588411002af340cbaedd6fc33-Paper.

Spectral Journey: How Transformers Predict the Shortest Path cc/paper_files/paper/2021/file/ f1c1592588411002af340cbaedd6fc33-Paper

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:44:11.245194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 71d2985c-cba5-47f7-be01-7bf1f8428974 · outbound

This paper cites The Llama 3 Herd of Models.

Spectral Journey: How Transformers Predict the Shortest Path The Llama 3 Herd of Models

Reference 1959

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.799132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77658386-79e0-4a4b-81c7-bc44823357f1 · outbound

This paper cites Learning to grok: Emergence of in-context learning and skill composition in modular arithmetic tasks.

Spectral Journey: How Transformers Predict the Shortest Path Learning to grok: Emergence of in-context learning and skill composition in modular arithmetic tasks

Reference 1960

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.811457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 674e7acd-01ab-4158-b8a2-64d1d8ef5712 · outbound

This paper cites GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Models.

Spectral Journey: How Transformers Predict the Shortest Path GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Models

Reference 1983

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.830928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0004aee8-2574-4ec1-8848-41a6aa707a18 · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

Spectral Journey: How Transformers Predict the Shortest Path Training Verifiers to Solve Math Word Problems

Reference 1997

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.790628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35c981e8-e7d4-4d2b-87f2-e3819692bd87 · outbound

This paper cites Fatemi, B., Halcrow, J., and Perozzi, B.

Spectral Journey: How Transformers Predict the Shortest Path Fatemi, B., Halcrow, J., and Perozzi, B

Reference 2021

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:44:11.255601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 096930cc-88e8-41d1-8ee2-b3f090ea8a2c · outbound

This paper cites How Transformers Learn Causal Structure with Gradient Descent.

Spectral Journey: How Transformers Predict the Shortest Path How Transformers Learn Causal Structure with Gradient Descent

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-07T23:44:10.834946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f69633d-e71d-44bb-8ca2-09bc0aa8d7af · outbound

This paper cites Simulation of Graph Algorithms with Looped Transformers.

Spectral Journey: How Transformers Predict the Shortest Path Simulation of Graph Algorithms with Looped Transformers

Reference 2024

Resolution: verified exact; local_arxiv, observed 2026-08-07T23:44:11.214651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation b915e5a3-b5ea-4e27-8a5b-c70f9021a198 · inbound

Generalization in LLM Problem Solving: The Case of the Shortest Path cites this paper.

Generalization in LLM Problem Solving: The Case of the Shortest Path Spectral Journey: How Transformers Predict the Shortest Path

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-10T10:39:38.104026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.