Paper Citation Record · LEDGER

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator

As of 18 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.09279.

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

pith.paper-citation-record.v1
2607.09279 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T04:11:56.715045Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

22 of 22 outbound references displayed

verified exact0
verified fuzzy0
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8228fb96-aa3f-4a15-90c6-c8fd82a3b71b · outbound

This paper cites Quantifying Attention Flow in Transformers.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Quantifying Attention Flow in Transformers

Reference 1

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 fa8403b7-3512-4c11-be80-f7b94e8d43b3 · outbound

This paper cites Pseudospectral Bounds for Transient Amplification in Coupled Gradient Descent.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Pseudospectral Bounds for Transient Amplification in Coupled Gradient Descent

Reference 2

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 73b51d3b-085e-4fac-995c-b1a33fed7b9a · outbound

This paper cites Attention is Not All You Need: Pure Attention Loses Rank Doubly Exponentially with Depth.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Attention is Not All You Need: Pure Attention Loses Rank Doubly Exponentially with Depth

Reference 3

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 fda9d335-c749-4063-957c-23973e4d9701 · outbound

This paper cites Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology.

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 a8bdc18e-82e1-4dea-8bcf-16e471f040f5 · outbound

This paper cites The Pile: An 800GB Dataset of Diverse Text for Language Modeling.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator The Pile: An 800GB Dataset of Diverse Text for Language Modeling

Reference 5

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 dd5dc8fa-2ea4-41cf-a126-93be4b8626d2 · outbound

This paper cites The emergence of clusters in self-attention dynamics.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator The emergence of clusters in self-attention dynamics

Reference 6

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 d19b041d-009f-479d-bf55-acae72f635f7 · outbound

This paper cites A mathematical perspective on Transformers.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator A mathematical perspective on Transformers

Reference 7

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 80ee8655-8a5f-4c46-88e6-a26a8dde526c · outbound

This paper cites Non-normal spectral signatures of instability in neural network training dynamics.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Non-normal spectral signatures of instability in neural network training dynamics

Reference 8

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 13ce2b2a-1844-4900-a6e3-63f6f537fe4b · outbound

This paper cites an unresolved cited work.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Unresolved cited work

Reference 9

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 83b1ceb5-6bf7-4b45-ba5d-f73b57365079 · outbound

This paper cites When attention sink emerges in language models: an empirical view.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator When attention sink emerges in language models: an empirical view

Reference 10

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 9287b400-0bff-45c3-a0b1-dd767d87781e · outbound

This paper cites Jordan, and Song Mei.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Jordan, and Song Mei

Reference 11

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 d73e86c8-c098-40bf-a88b-ba8e6f6d2948 · outbound

This paper cites Non-normalrecurrentneuralnetwork(nnRNN):learning long time dependencies while improving expressivity with transient dynamics.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Non-normalrecurrentneuralnetwork(nnRNN):learning long time dependencies while improving expressivity with transient dynamics

Reference 12

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 67adae7d-f95d-4d12-ab0d-ca5aa3276493 · outbound

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

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention

Reference 13

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 b3b13ad7-f357-4d0d-b015-8ff68c098aa4 · outbound

This paper cites Computing the Kreiss Constant of a Matrix.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Computing the Kreiss Constant of a Matrix

Reference 14

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 00a91903-2dbc-4dc7-b45b-7f37314fa336 · outbound

This paper cites Murphy and Kenneth D.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Murphy and Kenneth D

Reference 15

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 1bedab8a-a52a-4f91-903b-f8c7a9e362ce · outbound

This paper cites Mind the Gap: a Spectral Analysis of Rank Collapse and Signal Propagation in Attention Layers.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Mind the Gap: a Spectral Analysis of Rank Collapse and Signal Propagation in Attention Layers

Reference 16

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 80924305-9f81-4d4c-9096-0e95f69b478e · outbound

This paper cites Attention sinks and compression valleys in LLMs are two sides of the same coin, 2025.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Attention sinks and compression valleys in LLMs are two sides of the same coin, 2025

Reference 17

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 70a0c0dc-55c0-4f0d-b0c4-7fe95e173d1c · outbound

This paper cites Massive Activations in Large Language Models.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Massive Activations in Large Language Models

Reference 18

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 971843c4-26a1-4e29-913b-bf1e1973cd58 · outbound

This paper cites Trefethen.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Trefethen

Reference 19

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 48011775-e9f4-4977-b125-fd105dd4c022 · outbound

This paper cites Trefethen and Mark Embree.Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Trefethen and Mark Embree.Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators

Reference 20

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 95fce11d-af80-4974-b126-af816f06fcd2 · outbound

This paper cites Efficient Streaming Language Models with Attention Sinks.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Efficient Streaming Language Models with Attention Sinks

Reference 21

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 eaf02bda-c024-4591-bb88-ded3964c4f14 · outbound

This paper cites an unresolved cited work.

Transient Reserves, Sink Dampers, and the Failure of Eigenvalue Reasoning in the Attention Propagator Unresolved cited work

Reference 22

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.