Paper Citation Record · LEDGER

Adaptive Mamba Neural Operators

As of 21 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.18043.

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

pith.paper-citation-record.v1
2607.18043 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T16:25:01.101779Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

21 of 21 outbound references displayed

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verified fuzzy0
unresolved20
parse uncertain0
malformed identifier1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 876d58e0-3e51-4164-9799-994dc452baf6 · outbound

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

Adaptive Mamba Neural Operators Efficiently Modeling Long Sequences with Structured State Spaces

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T16:24:59.661626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65917b01-f130-400b-a886-79c45ef8d75e · outbound

This paper cites an unresolved cited work.

Adaptive Mamba Neural Operators Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.862073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55d8346f-82cc-403d-8027-78030ed16ea0 · outbound

This paper cites Transformer for Partial Differential Equations' Operator Learning.

Adaptive Mamba Neural Operators Transformer for Partial Differential Equations' Operator Learning

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.099140Z

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Observation 05725e52-0498-4c0f-89fd-c7ce5343a6e1 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Adaptive Mamba Neural Operators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.253566Z

Source-reported events for the cited work

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Observation a006ce17-a2e6-4855-919a-d383203233fa · outbound

This paper cites Beyond regular grids: Fourier-based neural operators on arbitrary do- mains.arXiv preprint arXiv:2305.19663,.

Adaptive Mamba Neural Operators Beyond regular grids: Fourier-based neural operators on arbitrary do- mains.arXiv preprint arXiv:2305.19663,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.371506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5afc2e5-09e7-42bb-8d87-d5abc4d14183 · outbound

This paper cites Decoupled Weight Decay Regularization.

Adaptive Mamba Neural Operators Decoupled Weight Decay Regularization

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.473706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87415c3d-8869-46c4-b8ef-7fd6e00b1261 · outbound

This paper cites Factorized Fourier Neural Operators.

Adaptive Mamba Neural Operators Factorized Fourier Neural Operators

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.636587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b30fc64-9520-4187-b555-eb0a18373f87 · outbound

This paper cites Solving High-Dimensional PDEs with Latent Spectral Models.

Adaptive Mamba Neural Operators Solving High-Dimensional PDEs with Latent Spectral Models

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.682706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59ebd0e4-41ff-4aae-8a2e-7147f9551414 · outbound

This paper cites Transolver: A Fast Transformer Solver for PDEs on General Geometries.

Adaptive Mamba Neural Operators Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.726499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98990f8a-e1a7-4730-8839-be089b79644c · outbound

This paper cites Coupled Multiwavelet Neural Operator Learning for Coupled Partial Differential Equations.

Adaptive Mamba Neural Operators Coupled Multiwavelet Neural Operator Learning for Coupled Partial Differential Equations

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.769542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4138121-89db-4aab-9752-5813cc76fb4b · outbound

This paper cites an unresolved cited work.

Adaptive Mamba Neural Operators Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.813432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2f81c35-2649-469a-9be7-fc5a6a017322 · outbound

This paper cites For 38, use the mean-value theorem onx7→ √1−xwithx=|a| 2,|b| 2 and||a| 2 − |b|2| ≤ |a−b|(|a|+|b|)≤2|a−b|.

Adaptive Mamba Neural Operators For 38, use the mean-value theorem onx7→ √1−xwithx=|a| 2,|b| 2 and||a| 2 − |b|2| ≤ |a−b|(|a|+|b|)≤2|a−b|

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:01.011608Z

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Unavailable: canonical work link unavailable.

Observation b9e57999-f83a-4127-8eaf-f254437ea238 · outbound

This paper cites Hence, by Lemma D.2, afterNblocks zN+1 = NX i=1 bci Bi,ˆu N,θ =Q(z N+1 ).(42) Proof.The coefficient claim follows from Lemma D.3 applied toz i in place ofs.

Adaptive Mamba Neural Operators Hence, by Lemma D.2, afterNblocks zN+1 = NX i=1 bci Bi,ˆu N,θ =Q(z N+1 ).(42) Proof.The coefficient claim follows from Lemma D.3 applied toz i in place ofs

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:01.101779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99f6229a-1c8a-4ec2-8f14-348ae8242514 · outbound

This paper cites Remark.No greedy or maximal selection is used.

Adaptive Mamba Neural Operators Remark.No greedy or maximal selection is used

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.902463Z

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Unavailable: canonical work link unavailable.

Observation 1d6302ac-7338-436f-b0cf-26ae69a7f49a · outbound

This paper cites Proof.Apply Theorem D.6 to bound the latentH-error.

Adaptive Mamba Neural Operators Proof.Apply Theorem D.6 to bound the latentH-error

Reference 35

Resolution: malformed identifier; no resolver link, observed 2026-08-01T16:25:00.956370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d8c0b5c-951a-4ba7-95dd-fc59e8dbaef6 · outbound

This paper cites U-NO: U-shaped Neural Operators.

Adaptive Mamba Neural Operators U-NO: U-shaped Neural Operators

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.587416Z

Source-reported events for the cited work

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Observation bd327440-03ad-401f-ac7d-fd2844d4107e · outbound

This paper cites Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers.

Adaptive Mamba Neural Operators Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-01T16:24:59.785190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5742dce-e943-4b0d-924d-51afaa81635a · outbound

This paper cites State-space models are accurate and efficient neural operators for dynamical systems.

Adaptive Mamba Neural Operators State-space models are accurate and efficient neural operators for dynamical systems

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-01T16:24:59.932629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60922707-cce6-41cf-95f0-3cd4cfd2dce3 · outbound

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

Adaptive Mamba Neural Operators Mamba: Linear-Time Sequence Modeling with Selective State Spaces

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-01T16:24:59.500595Z

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Unavailable: canonical work link unavailable.

Observation 7ba0bf35-aa5b-4782-9e5e-efec380dad00 · outbound

This paper cites Mamba neural operator: Who wins? transformers vs.

Adaptive Mamba Neural Operators Mamba neural operator: Who wins? transformers vs

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-01T16:24:59.365443Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0f2257a-6aab-45d0-872a-c044af71e12b · outbound

This paper cites Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries.

Adaptive Mamba Neural Operators Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.535135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.