Paper Citation Record · LEDGER

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs

As of 9 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2506.08543.

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

pith.paper-citation-record.v1
2506.08543 v4

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:18:32.081506Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

verified exact1
verified fuzzy5
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9ca964d1-3ae0-4e92-848c-64dc6ccd3df7 · outbound

This paper cites Then, with probability at least1−2 exp(−t 2/2), η(l) ≤ τ2 d + B2 (t+ √ d)√ M·d.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Then, with probability at least1−2 exp(−t 2/2), η(l) ≤ τ2 d + B2 (t+ √ d)√ M·d

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:18:33.033582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6cc488f7-87cb-44a7-b6e1-af6a9e6bcf7e · outbound

This paper cites Evaluating Large Language Models Trained on Code.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Evaluating Large Language Models Trained on Code

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:29.081026Z

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Observation 6eb2c334-df9c-4102-a0ac-c1189336dc19 · outbound

This paper cites 19 Under review as a conference paper at COLM 2026 Figure 6: VLM response for power concept with U.S.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs 19 Under review as a conference paper at COLM 2026 Figure 6: VLM response for power concept with U.S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:18:32.739887Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ae477b81-fcb5-4a16-9393-722e49937a88 · outbound

This paper cites The Llama 3 Herd of Models.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs The Llama 3 Herd of Models

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:29.459977Z

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Observation b6bab8a0-4473-4f04-9df1-0185099711ed · outbound

This paper cites an unresolved cited work.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:18:34.037673Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eae13975-fe78-4afc-ba06-01077306ed50 · outbound

This paper cites Mistral 7B.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Mistral 7B

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:30.012097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2998c2a-9769-4de5-b683-b5abb38ca70f · outbound

This paper cites Does Circuit Analysis Interpretability Scale? Evidence from Multiple Choice Capabilities in Chinchilla.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Does Circuit Analysis Interpretability Scale? Evidence from Multiple Choice Capabilities in Chinchilla

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:30.103621Z

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Observation 6377fa61-6165-4e4d-8dcf-de6a3138a832 · outbound

This paper cites Microsoft coco: Common objects in context.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Microsoft coco: Common objects in context

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:18:33.636921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ec61e66d-925e-4c1d-a304-36fb0c470ebc · outbound

This paper cites DINOv2: Learning Robust Visual Features without Supervision.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs DINOv2: Learning Robust Visual Features without Supervision

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:30.777638Z

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Observation a06498c6-173e-4269-b152-c2b5b8a40e74 · outbound

This paper cites The Linear Representation Hypothesis and the Geometry of Large Language Models.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs The Linear Representation Hypothesis and the Geometry of Large Language Models

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:30.862403Z

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Observation 26123c9b-7a44-46f8-88f7-99b708be8a90 · outbound

This paper cites Unsupervised Representation Learning with Deep Convolutional Generative Adversarial Networks.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Unsupervised Representation Learning with Deep Convolutional Generative Adversarial Networks

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:30.952553Z

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Observation 75fe3fbc-062e-4e53-a1e3-bb30fefa02d7 · outbound

This paper cites Striving for Simplicity: The All Convolutional Net.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Striving for Simplicity: The All Convolutional Net

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:31.327333Z

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Observation 299a496d-dd30-44b1-b947-2b722fc5eaea · outbound

This paper cites Ethical and social risks of harm from Language Models.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Ethical and social risks of harm from Language Models

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:31.568017Z

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Observation 3f7b832d-b14b-41c2-b820-2a0da246a658 · outbound

This paper cites Representation Engineering: A Top-Down Approach to AI Transparency.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Representation Engineering: A Top-Down Approach to AI Transparency

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:31.670633Z

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Unavailable: canonical work link unavailable.

Observation d9248ace-109b-4eef-9f01-2065927d44ce · outbound

This paper cites signal” matrix D(l) ¯J(l)⊤ and a “perturbation.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs signal” matrix D(l) ¯J(l)⊤ and a “perturbation

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:18:33.386347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e41a07be-e189-45f1-bc37-d576af203959 · outbound

This paper cites SimCSE: Simple Contrastive Learning of Sentence Embeddings.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs SimCSE: Simple Contrastive Learning of Sentence Embeddings

Reference 1959

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:29.374638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f07afe15-3513-4348-a9d7-d030287b3901 · outbound

This paper cites TruthfulQA: Measuring How Models Mimic Human Falsehoods.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs TruthfulQA: Measuring How Models Mimic Human Falsehoods

Reference 1996

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:30.243714Z

Source-reported events for the cited work

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Observation 5b5e8603-719c-46ed-8431-955248007978 · outbound

This paper cites Progress measures for grokking via mechanistic interpretability.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Progress measures for grokking via mechanistic interpretability

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:30.500734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7ed31b8-7b1c-4cf3-941e-147189b51063 · outbound

This paper cites Intriguing properties of neural networks.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Intriguing properties of neural networks

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:31.407979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9af1b8e1-e234-4ac1-adad-c4786f2216b8 · outbound

This paper cites Qwen2.5-Coder Technical Report.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Qwen2.5-Coder Technical Report

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:29.790144Z

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Unavailable: canonical work link unavailable.

Observation 452cb83f-6498-4bb3-98e5-279e3ac8d63b · outbound

This paper cites BERT has a Moral Compass: Improvements of ethical and moral values of machines.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs BERT has a Moral Compass: Improvements of ethical and moral values of machines

Reference 2017

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:18:32.412798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c8251af8-2a95-4a99-ae5a-83905f462f54 · outbound

This paper cites Deep Inside Convolutional Networks: Visualising Image Classification Models and Saliency Maps.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Deep Inside Convolutional Networks: Visualising Image Classification Models and Saliency Maps

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:31.180269Z

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Unavailable: canonical work link unavailable.

Observation 77c2a1aa-fbef-4047-bbad-a4df96f0970b · outbound

This paper cites In-context Learning and Induction Heads.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs In-context Learning and Induction Heads

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:30.658144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35c77375-8a76-4304-8db5-4449fec52c29 · outbound

This paper cites Language models are few-shot learners.Advances in neural information processing systems, 33:1877–1901,.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Language models are few-shot learners.Advances in neural information processing systems, 33:1877–1901,

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:29.002343Z

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Unavailable: canonical work link unavailable.

Observation b43e6f72-05ba-4536-99c3-14f91f06be9d · outbound

This paper cites On the Opportunities and Risks of Foundation Models.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs On the Opportunities and Risks of Foundation Models

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:28.898579Z

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Unavailable: canonical work link unavailable.

Observation 611ecb9d-ebce-417d-9571-c03aa69d3cee · outbound

This paper cites Bert: Pre-training of deep bidirectional transformers for language understanding.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Bert: Pre-training of deep bidirectional transformers for language understanding

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:18:34.150724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ec3b3428-190f-4ede-8df4-b727a834e3d2 · outbound

This paper cites Language Models Represent Space and Time.

Spectral Principal Paths: A Spectral Perspective on Linear Representation Formation in LLMs Language Models Represent Space and Time

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:29.599765Z

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Pith citing papers

No inbound Pith citation observations are available.