Paper Citation Record · LEDGER

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics

As of 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2607.18829.

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

pith.paper-citation-record.v1
2607.18829 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T14:25:46.616039Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

15 of 15 outbound references displayed

verified exact0
verified fuzzy0
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb6c330c-315f-4b77-8370-91ef912036bd · outbound

This paper cites Counter-Current Learning: A Bio- logically Plausible Dual Network Approach for Deep Learning,.

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics Counter-Current Learning: A Bio- logically Plausible Dual Network Approach for Deep Learning,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:44.857487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39763dec-e174-4258-9b7f-8f9c09c8c488 · outbound

This paper cites Deep Equilibrium Models,.

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics Deep Equilibrium Models,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:44.934483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b7aebee-ef98-4cc3-80a7-86b3844b156b · outbound

This paper cites Monotone Operator Equilibrium Networks,.

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics Monotone Operator Equilibrium Networks,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:45.066203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c21e2b62-47fb-41cd-9b6b-6bfeae24f0bd · outbound

This paper cites Growing Neural Cellular Automata,.

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics Growing Neural Cellular Automata,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:45.223686Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2a89e6b-af02-4766-a2f7-3f440d981ce7 · outbound

This paper cites AntisymmetricRNN: A Dynamical System View on Recurrent Neural Networks,.

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics AntisymmetricRNN: A Dynamical System View on Recurrent Neural Networks,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:45.412935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3792f7eb-ec71-4e0a-a25e-68d950d8108e · outbound

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

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics Efficiently Modeling Long Sequences with Structured State Spaces,

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:45.515569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9d20fcb-c583-4c08-a351-e30924ef0650 · outbound

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

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics Mamba: Linear-Time Sequence Modeling with Selective State Spaces

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:45.686390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2626f180-34c8-4a01-a732-079420a95ce7 · outbound

This paper cites an unresolved cited work.

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:45.813650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9170176e-5cfb-4008-8ef5-ec239954fc84 · outbound

This paper cites Sembulingam and P.

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics Sembulingam and P

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:45.961127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb008e8a-4c40-4e97-9db3-897fefc9c9e1 · outbound

This paper cites The Chemical Basis of Morphogenesis,.

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics The Chemical Basis of Morphogenesis,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:46.153501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40efa84e-ba84-4a00-95f1-c4b9b0a67477 · outbound

This paper cites Equilibrium Propagation: Bridging the Gap Between Energy-Based Models and Backpropagation,.

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics Equilibrium Propagation: Bridging the Gap Between Energy-Based Models and Backpropagation,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:46.289859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6228b485-5ddf-4078-a080-c6e4213efb6f · outbound

This paper cites Long Short-Term Memory,.

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics Long Short-Term Memory,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:46.301727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e37e9b29-5886-4cce-8d5f-3ca72b9ea519 · outbound

This paper cites Adaptive Computation Time for Recurrent Neural Networks.

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics Adaptive Computation Time for Recurrent Neural Networks

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:46.401293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09db1336-3a36-4e9f-8468-4c262f9a2089 · outbound

This paper cites PonderNet: Learning to Ponder,.

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics PonderNet: Learning to Ponder,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:46.516590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 310b349b-e1bd-4e91-964d-52f16c03dd9d · outbound

This paper cites Concen- tration of Solutes in the Renal Inner Medulla: Interstitial Hyaluronan as a Mechano-Osmotic Transducer,.

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics Concen- tration of Solutes in the Renal Inner Medulla: Interstitial Hyaluronan as a Mechano-Osmotic Transducer,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T14:25:46.616039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.