Paper Citation Record · LEDGER

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity

As of 20 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2506.11891.

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

pith.paper-citation-record.v1
2506.11891 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:18:54.697608Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T04:45:43.948266Z

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

32 of 32 outbound references displayed

verified exact5
verified fuzzy19
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 707e414a-0c76-46b9-946b-1f90ce68815d · outbound

This paper cites Zoology: Measuring and Improving Recall in Efficient Language Models.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Zoology: Measuring and Improving Recall in Efficient Language Models

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:19:01.303622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7bbc21c9-7119-43b7-abb3-f438eb7510ed · outbound

This paper cites Simple Linear Attention Language Models Balance the Recall-Throughput Tradeoff.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Simple Linear Attention Language Models Balance the Recall-Throughput Tradeoff

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:19:01.073511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0b3719ce-f0b6-4eaf-a2af-62643e6e89ee · outbound

This paper cites Birth of a Transformer: A Memory Viewpoint.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Birth of a Transformer: A Memory Viewpoint

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:19:00.769228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c7ad6197-2c7d-4432-9d5b-2249cf7b5a9e · outbound

This paper cites Theoretical limitations of multi-layer Transformer.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Theoretical limitations of multi-layer Transformer

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T01:18:51.437766Z

Source-reported events for the cited work

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Observation 4b5481cb-1738-4eed-b226-e5e51b35f33a · outbound

This paper cites and Cholak, P.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity and Cholak, P

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T01:18:51.488460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5256c5a-76b2-4c46-9c11-2ead426ea0a3 · outbound

This paper cites M., Orvieto, A., Walker, B., Salvi, C., and Lyons, T.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity M., Orvieto, A., Walker, B., Salvi, C., and Lyons, T

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:19:00.579600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8123b028-75aa-47b6-9345-aeb23bdab025 · outbound

This paper cites A., and Verghese, G.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity A., and Verghese, G

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:19:00.254421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1bf41d3e-4781-40e5-b191-6ce2dd27d672 · outbound

This paper cites and Gu, A.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity and Gu, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:59.902637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 297efbdf-4f60-46b4-aec8-501bbf09b376 · outbound

This paper cites an unresolved cited work.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-08-07T01:18:55.484251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a2739399-629b-4728-9f42-bf0d7a5f3329 · outbound

This paper cites and Inglese, G.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity and Inglese, G

Reference 10

Resolution: verified exact; doi, observed 2026-08-07T01:18:55.278780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5fd7a85a-bfcd-4b0d-acf6-d928af7f4be4 · outbound

This paper cites K., Zela, A., Hutter, F., and Pontil, M.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity K., Zela, A., Hutter, F., and Pontil, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:59.614876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 29a4dee8-019a-4e9d-8d54-4c04f71579c0 · outbound

This paper cites Mamba: Linear-Time Sequence Modeling with Selective State Spaces.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Mamba: Linear-Time Sequence Modeling with Selective State Spaces

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T01:18:52.210178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73232ade-f7a8-4e1a-8161-fc1cd4422213 · outbound

This paper cites HiPPO: Recurrent Memory with Optimal Polynomial Projections.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity HiPPO: Recurrent Memory with Optimal Polynomial Projections

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:59.391872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cb05c93e-adab-4d25-973a-0a274508b216 · outbound

This paper cites On the Parameterization and Initialization of Diagonal State Space Models.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity On the Parameterization and Initialization of Diagonal State Space Models

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:59.059969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fa047d8a-0195-4537-a2b6-3c6c731beea2 · outbound

This paper cites Efficiently Modeling Long Sequences with Structured State Spaces.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Efficiently Modeling Long Sequences with Structured State Spaces

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:58.714298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4229ad21-c131-4360-986a-0429a03145be · outbound

This paper cites Needle In A Haystack - Pressure Testing LLMs.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Needle In A Haystack - Pressure Testing LLMs

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:58.432116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e6944d5b-9532-436e-b258-34c5f15c2c30 · outbound

This paper cites Transformers are RNNs: Fast Autoregressive Transformers with Linear Attention.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Transformers are RNNs: Fast Autoregressive Transformers with Linear Attention

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:58.188913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 062f2e3d-b563-4b15-990c-5fcdceaf06ea · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Adam: A Method for Stochastic Optimization

Reference 18

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Source-reported events for the cited work

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Observation 8f60cd69-7437-43db-aede-fb865bde057c · outbound

This paper cites On the Power of Convolution Augmented Transformer.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity On the Power of Convolution Augmented Transformer

Reference 19

Resolution: verified exact; doi, observed 2026-08-07T01:18:55.100291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7151d90d-a523-4948-853e-ca844d525f2b · outbound

This paper cites Approximation and Optimization Theory for Linear Continuous-Time Recurrent Neural Networks.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Approximation and Optimization Theory for Linear Continuous-Time Recurrent Neural Networks

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:57.927896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5555acb1-56fd-42b7-a003-7ae26b13118f · outbound

This paper cites Group Invariant Scattering.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Group Invariant Scattering

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T01:18:53.543767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be6024fe-6e53-4250-a1dd-8f0e343d7cba · outbound

This paper cites The Illusion of State in State-Space Models.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity The Illusion of State in State-Space Models

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:57.649798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 81ac0e6a-df74-4434-a818-e74778b9998f · outbound

This paper cites In-context Learning and Induction Heads.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity In-context Learning and Induction Heads

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:57.412416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6744fd59-1db4-4320-8ed8-a2102befb7c2 · outbound

This paper cites an unresolved cited work.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:18:57.164024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f011c0d9-d48e-48eb-ad30-906f59def822 · outbound

This paper cites One-layer transformers fail to solve the induction heads task.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity One-layer transformers fail to solve the induction heads task

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-07T01:18:55.752708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3f5d5969-8196-4baa-8b4f-8bcf7000cc61 · outbound

This paper cites Transformers, Parallel Computation, and Logarithmic Depth.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Transformers, Parallel Computation, and Logarithmic Depth

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:56.909919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c0220d9f-1a40-4a10-8370-1331583aa12b · outbound

This paper cites The Expressive Capacity of State Space Models: A Formal Language Perspective.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity The Expressive Capacity of State Space Models: A Formal Language Perspective

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:56.596279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3822dc92-25cd-477c-8a86-2f4182562099 · outbound

This paper cites Crucial Aspects of Zero-Order Hold LPV State-Space System Discretization.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Crucial Aspects of Zero-Order Hold LPV State-Space System Discretization

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:56.295051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ea9c3a74-b52f-443a-ae52-132abb21d5bf · outbound

This paper cites High-Dimensional Probability: An Introduction with Applications in Data Science.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity High-Dimensional Probability: An Introduction with Applications in Data Science

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T01:18:54.327843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c63fab1-3e47-41ac-9e2f-fbe63b2ade47 · outbound

This paper cites Wavelets, Approximation, and Compression.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Wavelets, Approximation, and Compression

Reference 30

Resolution: verified exact; doi, observed 2026-08-07T01:18:54.894304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c8982e59-c5e1-4e65-ae60-5be53633e4d8 · outbound

This paper cites Inverse Approximation Theory for Nonlinear Recurrent Neural Networks.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Inverse Approximation Theory for Nonlinear Recurrent Neural Networks

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:18:56.019086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b039b66e-ad36-411e-b43a-790e91d05300 · outbound

This paper cites Pointer Value Retrieval: A new benchmark for understanding the limits of neural network generalization.

Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity Pointer Value Retrieval: A new benchmark for understanding the limits of neural network generalization

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T01:18:54.697608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 51399198-7a80-4a43-acc2-639c9826d179 · inbound

Sessa: Selective State Space Attention cites this paper.

Sessa: Selective State Space Attention Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-10T04:50:23.002455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.