Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:48:43.180719Z
Paper Citation Record · LEDGER
From Propagator to Oscillator: The Dual Role of Symmetric Differential Equations in Neural Systems
As of 7 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2507.22916.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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
Reference resolution
6 of 6 outbound references displayed
- verified exact1
- verified fuzzy3
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 25f751e6-fba6-4d90-9082-3f6b04ab6cda · outbound
This paper cites an unresolved cited work.
From Propagator to Oscillator: The Dual Role of Symmetric Differential Equations in Neural Systems Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:48:44.327253Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ec66eb1e-3780-4b2c-8593-cf3e9505c3bb · outbound
This paper cites However, classical mode ls such as the Hodgkin-Huxley (HH) system[12], despite their biological fidelity, are often too complex to be deployed at scale.
From Propagator to Oscillator: The Dual Role of Symmetric Differential Equations in Neural Systems However, classical mode ls such as the Hodgkin-Huxley (HH) system[12], despite their biological fidelity, are often too complex to be deployed at scale
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:48:44.102292Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5fa83d65-9bc9-4ef2-9f73-54506b407d49 · outbound
This paper cites Fixed points provide an intuitive geometric interpretation of equilibrium or steady-state solutions of differential equations.
From Propagator to Oscillator: The Dual Role of Symmetric Differential Equations in Neural Systems Fixed points provide an intuitive geometric interpretation of equilibrium or steady-state solutions of differential equations
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:48:43.866011Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 03cf8f14-5850-42a9-8a80-750efbc79e01 · outbound
This paper cites On -road Energy.
From Propagator to Oscillator: The Dual Role of Symmetric Differential Equations in Neural Systems On -road Energy
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:48:43.611308Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d88ea417-a9ee-420b-83fd-832e7eb26fff · outbound
This paper cites The Computational Limits of Deep Learning.
From Propagator to Oscillator: The Dual Role of Symmetric Differential Equations in Neural Systems The Computational Limits of Deep Learning
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:48:43.070761Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89aa14dc-9ab7-47ab-b944-a8d2fe57e408 · outbound
This paper cites A Neural Network Training Method Based on Neuron Connection Coefficient Adjustments.
From Propagator to Oscillator: The Dual Role of Symmetric Differential Equations in Neural Systems A Neural Network Training Method Based on Neuron Connection Coefficient Adjustments
Reference 2025
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T15:48:43.405180Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.