Paper Citation Record · LEDGER

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology

As of 20 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 5 inbound Pith citation observations for arXiv:2605.14258.

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

pith.paper-citation-record.v1
2605.14258 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-15T02:37:19.354739Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:18:55.814750Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-11T01:27:45.602554Z

Reference resolution

36 of 36 outbound references displayed

verified exact9
verified fuzzy16
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch10

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 24f7d7c3-ffd6-4350-a9c4-2431d2df040c · outbound

This paper cites an unresolved cited work.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-05-15T04:20:04.252925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4f6ccaef-6153-47b7-9199-95dc7043c1fb · outbound

This paper cites Olmo 3.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Olmo 3

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-05-15T02:38:35.849725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 19f30333-8bc3-4a84-b652-174e40b750bd · outbound

This paper cites International Conference on Learning Representations (ICLR) , year =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology International Conference on Learning Representations (ICLR) , year =

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.015442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation db4db5c4-71f3-4673-b9e2-52ecb1f47a97 · outbound

This paper cites and Waltman, Ludo and van Eck, Nees Jan , journal =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology and Waltman, Ludo and van Eck, Nees Jan , journal =

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.285845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c00d2853-f47e-4fcd-8edb-32128967dab7 · outbound

This paper cites Advances in Neural Information Processing Systems (NeurIPS) , volume =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Advances in Neural Information Processing Systems (NeurIPS) , volume =

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.096857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c1e07b31-949e-42d7-a967-eecf7ff5f57e · outbound

This paper cites International Conference on Learning Representations (ICLR) , year =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology International Conference on Learning Representations (ICLR) , year =

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.079437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b134574d-aaa2-4116-98a0-722b2106135b · outbound

This paper cites Advances in Neural Information Processing Systems (NeurIPS) , volume =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Advances in Neural Information Processing Systems (NeurIPS) , volume =

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.196908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0ccd4f1e-f131-401a-b831-c4b9f37067a5 · outbound

This paper cites Proceedings of the 22nd International Conference on Artificial Intelligence and Statistics (AISTATS) , pages =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Proceedings of the 22nd International Conference on Artificial Intelligence and Statistics (AISTATS) , pages =

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.039021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 97beb3fc-f6a7-4fa8-99fe-cefc7f0bcc9a · outbound

This paper cites journal =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology journal =

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.118555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bf345bdb-4f85-4903-931f-72aff6408e7a · outbound

This paper cites arXiv preprint arXiv:2505.24293 , year =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology arXiv preprint arXiv:2505.24293 , year =

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-15T02:38:35.884061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7b8bafb5-0ee8-49be-8354-4a6959e307fa · outbound

This paper cites Transformer Block Coupling and its Correlation with Generalization in.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Transformer Block Coupling and its Correlation with Generalization in

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.365259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 11e1dabb-461f-4a18-8e64-53f8673ac1a9 · outbound

This paper cites International Conference on Learning Representations (ICLR) , year =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology International Conference on Learning Representations (ICLR) , year =

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.289871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8f3be9d9-ca4c-442f-a575-a98015aa23aa · outbound

This paper cites Extended critical regimes of deep neural networks.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Extended critical regimes of deep neural networks

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-15T02:38:35.863885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d544c048-c8c1-448e-88a0-19c63458f53a · outbound

This paper cites Ruthotto and E.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Ruthotto and E

Reference 14

Resolution: metadata mismatch; doi, observed 2026-05-15T02:38:32.556878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 241f6fc4-54c1-4470-94d6-79971255188b · outbound

This paper cites Understanding and Improving Transformer From a Multi-Particle Dynamic System Point of View.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Understanding and Improving Transformer From a Multi-Particle Dynamic System Point of View

Reference 15

Resolution: metadata mismatch; local_arxiv, observed 2026-05-15T02:38:35.870149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b895db42-1663-4b7b-9a4d-62b3220cec01 · outbound

This paper cites Large language models implicitly learn to straighten neural sentence trajectories to construct a predictive representation of natural language.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Large language models implicitly learn to straighten neural sentence trajectories to construct a predictive representation of natural language

Reference 16

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T02:38:35.890218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8529bf3e-1f76-4a19-bbbb-a94935b00bea · outbound

This paper cites Finite-Time.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Finite-Time

Reference 17

Resolution: verified exact; doi, observed 2026-05-15T02:38:32.561105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4010fc4f-14ec-402b-84fb-bc7078944731 · outbound

This paper cites Gradient Flossing: Improving Gradient Descent through Dynamic Control of.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Gradient Flossing: Improving Gradient Descent through Dynamic Control of

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.585387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3e3832ba-c229-4e83-82bc-b33ef43a6455 · outbound

This paper cites A mathematical perspective on Transformers.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology A mathematical perspective on Transformers

Reference 19

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T02:38:35.946193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 31021dcd-0f58-417b-94b5-67cd5d237e40 · outbound

This paper cites Residual Stream Analysis with Multi-Layer.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Residual Stream Analysis with Multi-Layer

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.600156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ea05e89e-b151-429f-9d66-b63a7a389be6 · outbound

This paper cites arXiv preprint arXiv:2603.07162 , year =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology arXiv preprint arXiv:2603.07162 , year =

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-15T02:38:35.939973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f772c912-397b-4839-bad6-bd511c448e5f · outbound

This paper cites Parcae: Scaling Laws For Stable Looped Language Models.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Parcae: Scaling Laws For Stable Looped Language Models

Reference 22

Resolution: metadata mismatch; local_arxiv, observed 2026-05-15T02:38:35.932755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fb78265a-43fb-43c9-a7b5-fe655c3fd66d · outbound

This paper cites 2026 , annote =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology 2026 , annote =

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.415836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 75da8591-c3a8-48c3-ac16-7d60b628ab91 · outbound

This paper cites Transformer Circuits Thread , year =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Transformer Circuits Thread , year =

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.471350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2ceea792-212c-455b-875c-1c4f9f791ccb · outbound

This paper cites arXiv preprint arXiv:2604.01978 , year =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology arXiv preprint arXiv:2604.01978 , year =

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-15T02:38:35.926788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d830cc11-0fe7-420e-a79f-5a7989ba51ef · outbound

This paper cites Distill , volume =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Distill , volume =

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.609408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e4eb79a3-b3d9-4dda-8f49-6f94059a13e4 · outbound

This paper cites Transformer Circuits Thread , year =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Transformer Circuits Thread , year =

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.546488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5dc7153d-9628-46c3-9fcc-80b6823f5580 · outbound

This paper cites In-context Learning and Induction Heads.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology In-context Learning and Induction Heads

Reference 28

Resolution: metadata mismatch; local_arxiv, observed 2026-05-15T02:38:35.914767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8fdcee4f-12e5-4230-a12f-c6b7a4255f10 · outbound

This paper cites Sparse Autoencoders Find Highly Interpretable Features in Language Models.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Sparse Autoencoders Find Highly Interpretable Features in Language Models

Reference 29

Resolution: metadata mismatch; local_arxiv, observed 2026-05-15T02:38:35.920566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bb974417-6fa9-4a95-96ba-3c566faef7a8 · outbound

This paper cites Transformer Circuits Thread , year =.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Transformer Circuits Thread , year =

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T04:20:04.617505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5ff19292-ad99-4fea-be59-3a2b859ae454 · outbound

This paper cites Understanding intermediate layers using linear classifier probes.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Understanding intermediate layers using linear classifier probes

Reference 31

Resolution: metadata mismatch; local_arxiv, observed 2026-05-15T02:38:35.843330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 98808d9c-dc01-481a-92fa-423a3909ddb3 · outbound

This paper cites Eliciting Latent Predictions from Transformers with the Tuned Lens.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Eliciting Latent Predictions from Transformers with the Tuned Lens

Reference 32

Resolution: metadata mismatch; local_arxiv, observed 2026-05-15T02:38:35.856402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cd15ccd1-ded0-419b-9989-bc888f0a4a33 · outbound

This paper cites Transformer Dynamics: A neuroscientific approach to interpretability of large language models.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Transformer Dynamics: A neuroscientific approach to interpretability of large language models

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-15T02:38:35.903497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6cf4c07a-12a5-43e3-90bf-9c53d24f62eb · outbound

This paper cites Clusterability in Neural Networks.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Clusterability in Neural Networks

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-15T02:38:35.876716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 32190061-5d12-4d67-91f2-129add1b7c4b · outbound

This paper cites Understanding Community Structure in Layered Neural Networks.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Understanding Community Structure in Layered Neural Networks

Reference 35

Resolution: metadata mismatch; local_arxiv, observed 2026-05-15T02:38:35.909955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 424855d3-ec35-4e56-b722-399dec2f5d45 · outbound

This paper cites Narrow scope for resolution-limit-free community detection.

Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology Narrow scope for resolution-limit-free community detection

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-05-15T02:38:35.895749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation eb04e6b5-0e6c-4caa-b1a7-d48cfe8c69fd · inbound

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention cites this paper.

Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-07-11T01:27:45.626195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fda9d335-c749-4063-957c-23973e4d9701 · inbound

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator cites this paper.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T04:11:56.715045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25e62a79-f800-413d-9fe2-de5f70c48f63 · inbound

Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention cites this paper.

Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T23:28:03.496351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84d4e358-5955-4093-999b-e43e3ef39571 · inbound

Chaos in reason: How chain-of-thought LLMs can look for an answer cites this paper.

Chaos in reason: How chain-of-thought LLMs can look for an answer Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T01:11:34.878853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40b765d8-9a37-4950-a3f1-1967c1c4fd8d · inbound

Off-Axis, On Purpose: Where a Transformer Computes Concepts and Why it Does So cites this paper.

Off-Axis, On Purpose: Where a Transformer Computes Concepts and Why it Does So Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T04:18:55.814750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.