Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:58:30.477394Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:58:30.477394Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
52 of 52 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 58659fe8-266d-4b89-8181-fdf30cf16fa9 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Random- matrix physics: spectrum and strength fluctuations
Reference 1
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.
Observation 510d8483-adea-4ebf-b040-5d13e83246b8 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Random matrices, volume 142
Reference 2
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.
Observation 97c91b28-28c4-45b9-976e-dc964311e7ea · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Topics in random matrix theory , volume
Reference 3
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.
Observation 775b4d8a-7434-4ea3-89ab-aeb5b95fb74d · outbound
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
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.
Observation de8eebc9-3c4a-44fb-a9fd-72038cd91927 · outbound
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
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.
Observation 3b2a216d-7404-41ee-bddf-82c2129028fb · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Circular law
Reference 6
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.
Observation 6fa1f698-f3db-4b25-b5cf-bc426ce50a7d · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work
Reference 7
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.
Observation 72b6fd9c-6347-43be-bb9e-599379d18e9e · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work
Reference 8
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.
Observation f9462e79-a039-4e51-ab1d-f31e1e95d0bd · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks elliptic law
Reference 9
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.
Observation a7ae5f8c-29ab-412f-adbb-de59ebd8d336 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Elliptic law
Reference 10
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.
Observation 261dde02-b156-4309-9692-72fb4247e1f7 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Nonlinear ran- dom matrix theory for deep learning
Reference 11
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.
Observation 17a03074-8842-4bf3-9687-8d8261a5fe25 · outbound
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
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.
Observation 49f757ee-851a-48b2-ab31-9ebbf3a0a3b9 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work
Reference 13
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.
Observation de6b37b1-2afc-4b26-9d5d-460c6a862e56 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Sompolinsky, A
Reference 14
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.
Observation 286f5cf4-6867-4a70-86b5-6387ae08e148 · outbound
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
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.
Observation cfb86e21-77ed-47b2-a9c9-055364b6fb81 · outbound
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
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.
Observation f6815bb9-d421-4651-b56b-a6e9203e08d4 · outbound
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
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.
Observation f9390af9-af80-46e7-8a72-d5dc894ef1f8 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work
Reference 18
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.
Observation a429d367-850d-47e7-8625-2a3849c2db37 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Baron and Tobias Galla
Reference 19
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.
Observation 821f8a1a-363d-44d9-96ec-a0a2b65b2cbd · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work
Reference 20
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.
Observation 51f89074-6223-4f6b-88bf-82dcbda649f7 · outbound
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
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.
Observation d44a4f7a-cab0-4c15-804b-a8e46184ae5e · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Correlation Matrix Memories
Reference 22
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.
Observation 5b47ab22-d8b1-4f41-911c-24d93d1bd6e7 · outbound
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
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.
Observation 6b2d9bb3-2882-457d-8df9-f3a3789a4e59 · outbound
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
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.
Observation bd94774b-1776-4ccb-93f4-3bec4b27e1ba · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Temporal association in asymmetric neural networks
Reference 25
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.
Observation 591f3463-d586-4fc4-9c52-091f2c6bf6e3 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Long sequence hopfield memory
Reference 26
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.
Observation f14447f9-c711-4105-ba6d-e399ebd8aa03 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Sequential state generation by model neural networks
Reference 27
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.
Observation bec99c7e-999e-4634-82b5-d42ed79cb477 · outbound
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
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.
Observation d2a855a9-b231-40d8-ad15-ab40e660e956 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Generalized hetero-associative neural networks
Reference 29
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.
Observation 8f1fc2e3-5a3d-46dd-9567-3229c7179fe2 · outbound
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
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.
Observation fd5c627d-6261-4167-bbdd-27b0b30ed627 · outbound
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
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.
Observation 81c556b9-c96d-4494-9ea5-1254ed60d1dd · outbound
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
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.
Observation e6a66011-e578-402a-ac53-ab5f4d51234f · outbound
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
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.
Observation 20e02497-f2b8-4710-a7cb-a31a6630e357 · outbound
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
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.
Observation e3bea487-cfd2-46c2-a557-387558cd2633 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Birth of a transformer: A memory viewpoint
Reference 35
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.
Observation 675d0ad7-c794-4ae9-ae19-8e0c87ba5a0b · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Processing of temporal sequences in neural networks
Reference 36
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.
Observation 069755c0-8ea4-4c27-a693-34fb519d102e · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Attention is all you need
Reference 37
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.
Observation b733ca36-aab7-4976-9458-a5dce8ab9a2e · outbound
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
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.
Observation a877b475-c66b-41fe-bf6b-9d9b47df3326 · outbound
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
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.
Observation 75901095-6918-449a-9999-726f7d002f3d · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks in preparation
Reference 40
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.
Observation 7682f76a-8421-4979-af5b-c8531b6d9eac · outbound
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
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.
Observation dffd1996-a141-47e0-b1f9-278173116ed0 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Eigenvalue spectra of large correlated random matrices
Reference 42
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.
Observation 68c60d48-e82b-4895-a9d4-325f48052b75 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work
Reference 43
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.
Observation b7c8494e-b449-45ce-95a2-074c7b36f964 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Non-reciprocal phase transitions
Reference 44
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.
Observation 34ad2298-87e7-4774-a74b-fe955a3df25c · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work
Reference 45
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.
Observation b4e1bb0e-1df0-4f1f-8488-27bf2a84defb · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f05380cb-9c90-4adc-a6fe-7b5a5e80d392 · outbound
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
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.
Observation 7f51f996-163e-48f2-b6ca-288d939f5e66 · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Nonreciprocal ising model
Reference 49
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.
Observation f190139e-4cc5-4c0e-82ba-66a2a5e0c3a7 · outbound
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
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.
Observation 41580010-228c-46c8-b181-5db0f840ff19 · outbound
Reference 51
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.
Observation f0208559-b9be-4f43-aa83-d0784e4dce2c · outbound
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
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.
Observation a56e3b1c-d81f-41f6-8aa8-4fb0d46d15cb · outbound
Spectral density of correlated random matrices and nonmonotonic stability in hetero-associative memory networks Unresolved cited work
Reference 132
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.