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Paper Citation Record · LEDGER

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks

As of 17 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2505.11948.

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

pith.paper-citation-record.v1
2505.11948 v2

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:58:30.477394Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

52 of 52 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 58659fe8-266d-4b89-8181-fdf30cf16fa9 · outbound

This paper cites Random- matrix physics: spectrum and strength fluctuations.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Random- matrix physics: spectrum and strength fluctuations

Reference 1

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Observation 510d8483-adea-4ebf-b040-5d13e83246b8 · outbound

This paper cites Random matrices, volume 142.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Random matrices, volume 142

Reference 2

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This paper cites Topics in random matrix theory , volume.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Topics in random matrix theory , volume

Reference 3

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This paper cites This yields the Green’s function as G(ω ) = τ β − Eω ∗ σE + 1 − τ2.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks This yields the Green’s function as G(ω ) = τ β − Eω ∗ σE + 1 − τ2

Reference 4

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This paper cites DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MA- TRICES.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MA- TRICES

Reference 5

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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This paper cites Circular law.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Circular law

Reference 6

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This paper cites an unresolved cited work.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work

Reference 7

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Observation 72b6fd9c-6347-43be-bb9e-599379d18e9e · outbound

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Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work

Reference 8

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Observation f9462e79-a039-4e51-ab1d-f31e1e95d0bd · outbound

This paper cites elliptic law.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks elliptic law

Reference 9

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Observation a7ae5f8c-29ab-412f-adbb-de59ebd8d336 · outbound

This paper cites Elliptic law.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Elliptic law

Reference 10

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Observation 261dde02-b156-4309-9692-72fb4247e1f7 · outbound

This paper cites Nonlinear ran- dom matrix theory for deep learning.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Nonlinear ran- dom matrix theory for deep learning

Reference 11

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Observation 17a03074-8842-4bf3-9687-8d8261a5fe25 · outbound

This paper cites High-dimensional statistics: A non-asymptotic viewpoint , volume 48.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks High-dimensional statistics: A non-asymptotic viewpoint , volume 48

Reference 12

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Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work

Reference 13

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This paper cites Sompolinsky, A.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Sompolinsky, A

Reference 14

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Observation 286f5cf4-6867-4a70-86b5-6387ae08e148 · outbound

This paper cites A random matrix perspective on mixtures of nonlinear- ities in high dimensions.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks A random matrix perspective on mixtures of nonlinear- ities in high dimensions

Reference 15

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Source-reported events for the cited work

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Observation cfb86e21-77ed-47b2-a9c9-055364b6fb81 · outbound

This paper cites Characteristics of random nets of ana - log neuron-like elements.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Characteristics of random nets of ana - log neuron-like elements

Reference 16

Resolution
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Source-reported events for the cited work

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Observation f6815bb9-d421-4651-b56b-a6e9203e08d4 · outbound

This paper cites The spectrum of covari- ance matrices of randomly connected recurrent neuronal networks with linear dynamics.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks The spectrum of covari- ance matrices of randomly connected recurrent neuronal networks with linear dynamics

Reference 17

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Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work

Reference 18

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Observation a429d367-850d-47e7-8625-2a3849c2db37 · outbound

This paper cites Baron and Tobias Galla.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Baron and Tobias Galla

Reference 19

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Observation 821f8a1a-363d-44d9-96ec-a0a2b65b2cbd · outbound

This paper cites an unresolved cited work.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work

Reference 20

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Observation 51f89074-6223-4f6b-88bf-82dcbda649f7 · outbound

This paper cites Breakdown of random-matrix uni- versality in persistent lotka-volterra communities.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Breakdown of random-matrix uni- versality in persistent lotka-volterra communities

Reference 21

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This paper cites Correlation Matrix Memories.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Correlation Matrix Memories

Reference 22

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This paper cites Sequential as- sociative memory with nonuniformity of the layer sizes.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Sequential as- sociative memory with nonuniformity of the layer sizes

Reference 23

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Source-reported events for the cited work

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Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Neural networks and physical systems with emergent collective computational abilities

Reference 24

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Observation bd94774b-1776-4ccb-93f4-3bec4b27e1ba · outbound

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Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Temporal association in asymmetric neural networks

Reference 25

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Observation 591f3463-d586-4fc4-9c52-091f2c6bf6e3 · outbound

This paper cites Long sequence hopfield memory.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Long sequence hopfield memory

Reference 26

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Observation f14447f9-c711-4105-ba6d-e399ebd8aa03 · outbound

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Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Sequential state generation by model neural networks

Reference 27

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Source-reported events for the cited work

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This paper cites Robust retrieval of dynamic sequences through interaction mod- ulation.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Robust retrieval of dynamic sequences through interaction mod- ulation

Reference 28

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation d2a855a9-b231-40d8-ad15-ab40e660e956 · outbound

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Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Generalized hetero-associative neural networks

Reference 29

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Source-reported events for the cited work

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Observation 8f1fc2e3-5a3d-46dd-9567-3229c7179fe2 · outbound

This paper cites Dynamic control of sequential retrieval speed in networks with heterogeneous learning rules.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Dynamic control of sequential retrieval speed in networks with heterogeneous learning rules

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation fd5c627d-6261-4167-bbdd-27b0b30ed627 · outbound

This paper cites Recall tempo of hebbian sequences depends on the interplay of hebbian kernel with tutor signal timing.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Recall tempo of hebbian sequences depends on the interplay of hebbian kernel with tutor signal timing

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 81c556b9-c96d-4494-9ea5-1254ed60d1dd · outbound

This paper cites Coherent chaos in a recurrent neural network with structured con- nectivity.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Coherent chaos in a recurrent neural network with structured con- nectivity

Reference 32

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation e6a66011-e578-402a-ac53-ab5f4d51234f · outbound

This paper cites Multiple- timescale neural networks: generation of history- dependent sequences and inference through autonomous bifurcations.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Multiple- timescale neural networks: generation of history- dependent sequences and inference through autonomous bifurcations

Reference 33

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 20e02497-f2b8-4710-a7cb-a31a6630e357 · outbound

This paper cites Sta- tistical mechanics of temporal association in neural net- works with transmission delays.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Sta- tistical mechanics of temporal association in neural net- works with transmission delays

Reference 34

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation e3bea487-cfd2-46c2-a557-387558cd2633 · outbound

This paper cites Birth of a transformer: A memory viewpoint.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Birth of a transformer: A memory viewpoint

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.719598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 675d0ad7-c794-4ae9-ae19-8e0c87ba5a0b · outbound

This paper cites Processing of temporal sequences in neural networks.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Processing of temporal sequences in neural networks

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.746345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.405741Z digest=sha256:d0be126aded30c654153ae3c0b2ee7eefc55ad7bf051fca1f38fe275490ac1f9

Observation 069755c0-8ea4-4c27-a693-34fb519d102e · outbound

This paper cites Attention is all you need.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Attention is all you need

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.735042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.415731Z digest=sha256:205bcd4ecfc09dfaf6c436dffcd183f40d0619f245951fdc841a98f1e70b342f

Observation b733ca36-aab7-4976-9458-a5dce8ab9a2e · outbound

This paper cites Statistics of complex lev- els of random matrices for decaying systems.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Statistics of complex lev- els of random matrices for decaying systems

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.670400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.430971Z digest=sha256:754ec3918b49cd6102f6e13191c46d5c6a8a82991c396004e9cd325a4b526ca6

Observation a877b475-c66b-41fe-bf6b-9d9b47df3326 · outbound

This paper cites Transient Dynamics ver- sus Fixed Points in Odor Representations by Locust An- tennal Lobe Projection Neurons.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Transient Dynamics ver- sus Fixed Points in Odor Representations by Locust An- tennal Lobe Projection Neurons

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.696581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.423313Z digest=sha256:59642d7ca37f5c0aa006f24253e637efc3efdf44b34e07c8013870b80cfc94f3

Observation 75901095-6918-449a-9999-726f7d002f3d · outbound

This paper cites in preparation.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks in preparation

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.683730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.427536Z digest=sha256:718035e13eaaf0e3d36c1cc3344a962e46a9eda2679ab024d8f1dabc19ee9018

Observation 7682f76a-8421-4979-af5b-c8531b6d9eac · outbound

This paper cites Eigenvalues of random matrices with generalized correlations: A path integral approach.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Eigenvalues of random matrices with generalized correlations: A path integral approach

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.626424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.442256Z digest=sha256:d60d2426efee69cf2893140044fb7a3b74aff8f02ffd3ab6ee3b6585d2ffd672

Observation dffd1996-a141-47e0-b1f9-278173116ed0 · outbound

This paper cites Eigenvalue spectra of large correlated random matrices.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Eigenvalue spectra of large correlated random matrices

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.656794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.434435Z digest=sha256:6d8213b3b10aba65590f4ab0a1598b44a535ccb2afecd5e7893d563346c1b1d6

Observation 68c60d48-e82b-4895-a9d4-325f48052b75 · outbound

This paper cites an unresolved cited work.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:58:30.644764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.438669Z digest=sha256:13659f31e1b764f90e25e15b7bf014579838a823d9c57702fe266f03a3b88fde

Observation b7c8494e-b449-45ce-95a2-074c7b36f964 · outbound

This paper cites Non-reciprocal phase transitions.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Non-reciprocal phase transitions

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.596182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.454083Z digest=sha256:ca64ac21d049128e48584a7ac994d759ccd433cbb824582de308cfa51ed33524

Observation 34ad2298-87e7-4774-a74b-fe955a3df25c · outbound

This paper cites an unresolved cited work.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:58:30.613832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.445684Z digest=sha256:c65d7f8a0496f5b23557d885c34a7dcca277d83c4593c6273fc8f0e46c4caed2

Observation b4e1bb0e-1df0-4f1f-8488-27bf2a84defb · outbound

This paper cites an unresolved cited work.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-15T20:58:30.449141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:58:30.449141Z digest=sha256:21c80a01389cac92eaa993d7376f658baafc7318a59876aed50af3ddac14e5ce

Observation f05380cb-9c90-4adc-a6fe-7b5a5e80d392 · outbound

This paper cites Phase transition to chaos in complex ecosystems with nonreciprocal species-resource interactions.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Phase transition to chaos in complex ecosystems with nonreciprocal species-resource interactions

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.584267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.457464Z digest=sha256:6f14d1bdb223b20b3d3d905f66f2fae1caf35ed390a9cce8718e246c2ce50382

Observation 7f51f996-163e-48f2-b6ca-288d939f5e66 · outbound

This paper cites Nonreciprocal ising model.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Nonreciprocal ising model

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.571853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.465965Z digest=sha256:e7f91452f581fce2292050ad107767d6611ae9d2a1e214b0ba84b58d976883ed

Observation f190139e-4cc5-4c0e-82ba-66a2a5e0c3a7 · outbound

This paper cites (4) in the main text) require s taking the ensemble average of a logarithmic function, which is generally difficult to compute.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks (4) in the main text) require s taking the ensemble average of a logarithmic function, which is generally difficult to compute

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.560573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.469758Z digest=sha256:9769c0720c96d76dc035f6c9edb9e7baa1016bc0e36385fa19a56dd67ec1039c

Observation 41580010-228c-46c8-b181-5db0f840ff19 · outbound

This paper cites ( 25) to Eq.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks ( 25) to Eq

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.550029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.473960Z digest=sha256:5ac61f5d0710facabb305ad46bba89dd78ced443ddbbba5fe4317e7f01958dc8

Observation f0208559-b9be-4f43-aa83-d0784e4dce2c · outbound

This paper cites ( 31) give the relation ˆD A = ˆC B = ˆB C = ˆA D , which allows us to eliminate the hat variables ˆX from the equations.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks ( 31) give the relation ˆD A = ˆC B = ˆB C = ˆA D , which allows us to eliminate the hat variables ˆX from the equations

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:58:30.532844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T20:58:30.477394Z digest=sha256:62b04da58401332c62356bd48c3faffee6519d13d42a6f71043da5a60ea47bb9

Observation a56e3b1c-d81f-41f6-8aa8-4fb0d46d15cb · outbound

This paper cites an unresolved cited work.

Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work

Reference 132

Resolution
unresolved
no resolver link, observed 2026-08-15T20:58:30.153226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:58:30.153226Z digest=sha256:b3efb56c1a8873a83bf5df5713f65003f18ef66bc5f7b20694c9ffc52777309e

Pith citing papers

No inbound Pith citation observations are available.