Paper Citation Record · LEDGER

Neural Field Turing Machine: A Differentiable Spatial Computer

As of 17 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2509.03370.

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

pith.paper-citation-record.v1
2509.03370 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:52:20.084801Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T18:08:42.533804Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-29T18:13:48.691619Z

Reference resolution

38 of 38 outbound references displayed

verified exact3
verified fuzzy15
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7209f01c-b5d7-44f0-8170-270812a2a7e7 · outbound

This paper cites Battaglia, Jessica B.

Neural Field Turing Machine: A Differentiable Spatial Computer Battaglia, Jessica B

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:19.914515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50da46c6-152d-48da-9989-308a8d10416e · outbound

This paper cites Scheduled sampling for sequence prediction with recurrent neural networks.

Neural Field Turing Machine: A Differentiable Spatial Computer Scheduled sampling for sequence prediction with recurrent neural networks

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.571196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7b151be5-1cca-446b-bf45-2b1a2e5077e0 · outbound

This paper cites On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines.

Neural Field Turing Machine: A Differentiable Spatial Computer On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.559576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5b755931-bdd2-4402-a45a-bc18994ecbfb · outbound

This paper cites Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges.

Neural Field Turing Machine: A Differentiable Spatial Computer Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:19.929348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36870748-dcce-4264-87d7-f703265128b9 · outbound

This paper cites A Path to Universal Neural Cellular Automata.

Neural Field Turing Machine: A Differentiable Spatial Computer A Path to Universal Neural Cellular Automata

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:52:20.266086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1c6484e4-7d91-445a-8dde-19e4688f33de · outbound

This paper cites an unresolved cited work.

Neural Field Turing Machine: A Differentiable Spatial Computer Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:52:20.548855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d196971a-ce20-47b1-ba07-bddfb0011ab5 · outbound

This paper cites Cohen and Max Welling.

Neural Field Turing Machine: A Differentiable Spatial Computer Cohen and Max Welling

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.538197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 47f2663f-c177-45ce-8f84-361b92d562c8 · outbound

This paper cites Universality in elementary cellular automata.

Neural Field Turing Machine: A Differentiable Spatial Computer Universality in elementary cellular automata

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.527229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cd81eca6-e9f0-474e-bf6a-760106403da5 · outbound

This paper cites Generalizing convolutional neural networks for equivariance to lie groups.

Neural Field Turing Machine: A Differentiable Spatial Computer Generalizing convolutional neural networks for equivariance to lie groups

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.514345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6fff4db9-7291-4bde-bca2-de40bd252f97 · outbound

This paper cites Adaptive Computation Time for Recurrent Neural Networks.

Neural Field Turing Machine: A Differentiable Spatial Computer Adaptive Computation Time for Recurrent Neural Networks

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:19.955363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e921f4a-b595-490f-a7d9-3b75efca9280 · outbound

This paper cites Neural Turing Machines.

Neural Field Turing Machine: A Differentiable Spatial Computer Neural Turing Machines

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:19.959810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3d79c37-d0c1-4b0f-9fb1-e51f6d9a4e85 · outbound

This paper cites Hybrid computing using a neural network with dynamic external memory.

Neural Field Turing Machine: A Differentiable Spatial Computer Hybrid computing using a neural network with dynamic external memory

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:19.964102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d99fe928-3761-4a1e-8e06-111e27481211 · outbound

This paper cites Hamiltonian neural networks.

Neural Field Turing Machine: A Differentiable Spatial Computer Hamiltonian neural networks

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.501247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4dcb4b67-0725-4e13-aa78-4275b1240eef · outbound

This paper cites Denoising Diffusion Probabilistic Models.

Neural Field Turing Machine: A Differentiable Spatial Computer Denoising Diffusion Probabilistic Models

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:19.971868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30707546-f564-48fb-9e4d-8f57cd24b457 · outbound

This paper cites an unresolved cited work.

Neural Field Turing Machine: A Differentiable Spatial Computer Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:52:20.488909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 89387295-0d20-4808-b6b0-32a7bfe569f8 · outbound

This paper cites Kingma and Prafulla Dhariwal.

Neural Field Turing Machine: A Differentiable Spatial Computer Kingma and Prafulla Dhariwal

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.471529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c52b995c-e221-4867-876a-8f037dbc2f2e · outbound

This paper cites Control-NeRF: Editable Feature Volumes for Scene Rendering and Manipulation.

Neural Field Turing Machine: A Differentiable Spatial Computer Control-NeRF: Editable Feature Volumes for Scene Rendering and Manipulation

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:52:20.214452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 253bed7a-b32e-490c-b6c7-2e8de4c51500 · outbound

This paper cites an unresolved cited work.

Neural Field Turing Machine: A Differentiable Spatial Computer Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:52:20.458406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4a76a7f6-e318-4c68-b40b-c6db5376f320 · outbound

This paper cites Latent ODEs for irregularly-sampled time series.

Neural Field Turing Machine: A Differentiable Spatial Computer Latent ODEs for irregularly-sampled time series

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.445561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d2ee634d-e613-4bea-be47-7e75c1d85bed · outbound

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

Neural Field Turing Machine: A Differentiable Spatial Computer Fourier Neural Operator for Parametric Partial Differential Equations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:19.996608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4678ed0e-890d-46b2-99f0-bfe4edf3a5a3 · outbound

This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

Neural Field Turing Machine: A Differentiable Spatial Computer DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:20.003497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3da21bc6-f3a7-45bf-a2ac-934fb2084b82 · outbound

This paper cites Srinivasan, Matthew Tancik, Jonathan T.

Neural Field Turing Machine: A Differentiable Spatial Computer Srinivasan, Matthew Tancik, Jonathan T

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:20.014436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b36d4e02-a3a7-4452-ad05-299f2796673a · outbound

This paper cites Growing neural cellular automata.

Neural Field Turing Machine: A Differentiable Spatial Computer Growing neural cellular automata

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:20.019809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0353adf7-46d8-4bb0-9df0-ed87caafe1fe · outbound

This paper cites Neural Cellular Automata: From Cells to Pixels.

Neural Field Turing Machine: A Differentiable Spatial Computer Neural Cellular Automata: From Cells to Pixels

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:52:20.173780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cd3ca353-686c-4182-b0dd-1f85b1a94e40 · outbound

This paper cites Nerfies: Deformable Neural Radiance Fields.

Neural Field Turing Machine: A Differentiable Spatial Computer Nerfies: Deformable Neural Radiance Fields

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:20.033522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d68eced1-a189-48f1-8167-028b391b1bf9 · outbound

This paper cites Attention is turing complete.

Neural Field Turing Machine: A Differentiable Spatial Computer Attention is turing complete

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.423683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 85af7bed-898d-4a65-9f8b-614af09f2a9c · outbound

This paper cites D-nerf: Neural radiance fields for dynamic scenes.

Neural Field Turing Machine: A Differentiable Spatial Computer D-nerf: Neural radiance fields for dynamic scenes

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.406638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 16aa8e71-cae1-4edc-8fbc-78ba057fdf7f · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.

Neural Field Turing Machine: A Differentiable Spatial Computer Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:20.046087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5082a7f-4d23-41c6-8bed-06ae4f8989c2 · outbound

This paper cites Learning to Simulate Complex Physics with Graph Networks.

Neural Field Turing Machine: A Differentiable Spatial Computer Learning to Simulate Complex Physics with Graph Networks

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:20.050504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8eaaec03-e14a-45bd-baa0-0bfe619006ba · outbound

This paper cites an unresolved cited work.

Neural Field Turing Machine: A Differentiable Spatial Computer Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:52:20.381578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f4cf591c-95b8-49ae-b424-4fc131a5d05a · outbound

This paper cites Shepard and Jacqueline Metzler.

Neural Field Turing Machine: A Differentiable Spatial Computer Shepard and Jacqueline Metzler

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T16:52:20.058963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c559781-d3bb-490c-87c8-08c0e2b5971a · outbound

This paper cites Martel, Julien N.

Neural Field Turing Machine: A Differentiable Spatial Computer Martel, Julien N

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.369551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 87efbbcc-c55b-45f8-8602-c9024f8d0e24 · outbound

This paper cites Kingma, Abhishek Kumar, Stefano Ermon, and Ben Poole.

Neural Field Turing Machine: A Differentiable Spatial Computer Kingma, Abhishek Kumar, Stefano Ermon, and Ben Poole

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.356529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 986e0398-1e01-44e9-8612-2d7840362288 · outbound

This paper cites Srinivasan, Ben Mildenhall, Sara Fridovich-Keil, Nithin Raghavan, Utkarsh Singhal, Ravi Ramamoorthi, Jonathan T.

Neural Field Turing Machine: A Differentiable Spatial Computer Srinivasan, Ben Mildenhall, Sara Fridovich-Keil, Nithin Raghavan, Utkarsh Singhal, Ravi Ramamoorthi, Jonathan T

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.343578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fbb6f1bc-7dc1-4385-ab3f-698691f2df86 · outbound

This paper cites Gomez,Łukasz Kaiser, and Illia Polosukhin.

Neural Field Turing Machine: A Differentiable Spatial Computer Gomez,Łukasz Kaiser, and Illia Polosukhin

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.331306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2d078d90-6112-488b-bc45-260d78ff1581 · outbound

This paper cites an unresolved cited work.

Neural Field Turing Machine: A Differentiable Spatial Computer Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:52:20.317803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 62f6ec93-e588-4d38-bb4b-16fbb30144ed · outbound

This paper cites an unresolved cited work.

Neural Field Turing Machine: A Differentiable Spatial Computer Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:52:20.305491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 47eeed9b-49c6-450e-ba43-effada9d6cd7 · outbound

This paper cites For a neighborhood of fixed sizek, the read/write cost isO(kN ), while the controller addsO(NP ).

Neural Field Turing Machine: A Differentiable Spatial Computer For a neighborhood of fixed sizek, the read/write cost isO(kN ), while the controller addsO(NP )

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:52:20.290508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation 959126c1-3e54-4c63-8163-ab9ddcdacdae · inbound

Tensor Memory: Fixed-Size Recurrent State for Long-Horizon Transformers cites this paper.

Tensor Memory: Fixed-Size Recurrent State for Long-Horizon Transformers Neural Field Turing Machine: A Differentiable Spatial Computer

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-06-29T18:13:48.693199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.