Paper Citation Record · LEDGER

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization

As of 12 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.20486.

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

pith.paper-citation-record.v1
2506.20486 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:53:59.056424Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

30 of 30 outbound references displayed

verified exact1
verified fuzzy23
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a14ef811-18df-4dad-9732-71a70c41b6a0 · outbound

This paper cites Cellular automata models for vegetation dynamics.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Cellular automata models for vegetation dynamics

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:05.812802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5ffaa002-f18b-4ee1-abf8-d4d14eb63bc9 · outbound

This paper cites Cell fate specification and differentiation in the adult mammalian intestine.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Cell fate specification and differentiation in the adult mammalian intestine

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:05.515185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b0c2b2e1-a455-41e4-a24a-31ad596901ce · outbound

This paper cites Calibrating agent-based models to tumor images using representation learning.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Calibrating agent-based models to tumor images using representation learning

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:05.303569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0a88e4c4-d5ef-4c23-9f3b-87e5ce7e15ce · outbound

This paper cites Cellular automata approaches to biological modeling.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Cellular automata approaches to biological modeling

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:04.997360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation da67e04f-026a-46b5-ace8-56c5b8e745cc · outbound

This paper cites Cellular automata as convolutional neural networks.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Cellular automata as convolutional neural networks

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:04.773690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e27fff2f-3216-4d48-a284-e9d4617a84ff · outbound

This paper cites Learning graph cellular automata.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Learning graph cellular automata

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:04.493489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 16e1a560-1496-4cbf-89b4-c88b8f76d5d0 · outbound

This paper cites Neural cellular automata manifold.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Neural cellular automata manifold

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:04.175597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6e6db1c5-5b2f-4d8f-8ff5-eb83ca2074fc · outbound

This paper cites Categorical Reparameterization with Gumbel-Softmax.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Categorical Reparameterization with Gumbel-Softmax

Reference 8

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Source-reported events for the cited work

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Observation 883904bc-9df0-439f-90e5-9cb7508890c7 · outbound

This paper cites Parameter-efficient diffusion with neural cellular automata.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Parameter-efficient diffusion with neural cellular automata

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:03.895162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 57e84c19-bfb5-4bcb-aa58-cd8d845e6267 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Adam: A Method for Stochastic Optimization

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T22:53:56.931840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a4fb9db-e5a3-4c5a-8591-4cc39f5f2259 · outbound

This paper cites Computational framework for simulating fluorescence microscope images with cell populations.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Computational framework for simulating fluorescence microscope images with cell populations

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:03.664308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4d743c7f-0b1c-4fd5-9c3e-9b7023cae17d · outbound

This paper cites State-dependent evolutionary models reveal modes of solid tumour growth.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization State-dependent evolutionary models reveal modes of solid tumour growth

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:03.375501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c9285315-4c6b-4d6d-b74b-4c61bc9a11da · outbound

This paper cites Annotated high-throughput microscopy image sets for validation.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Annotated high-throughput microscopy image sets for validation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:03.115550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c5f7f7f2-cc26-481f-b7ad-0abb421db355 · outbound

This paper cites Latent Neural Cellular Automata for Resource-Efficient Image Restoration.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Latent Neural Cellular Automata for Resource-Efficient Image Restoration

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:53:59.269138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5413c4dd-4b2e-4846-857c-141d96c19190 · outbound

This paper cites Spectral Normalization for Generative Adversarial Networks.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Spectral Normalization for Generative Adversarial Networks

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T22:53:57.399095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff0f13cc-e7de-4c0b-927e-62af33a2ffb9 · outbound

This paper cites Growing neural cellular automata.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Growing neural cellular automata

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:02.875146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8bca3dda-2425-4f03-b201-640d0b2ceaa5 · outbound

This paper cites Spatial structure governs the mode of tumour evolution.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Spatial structure governs the mode of tumour evolution

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:02.610499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 01763ccf-3bfd-41e8-89ba-d5e490d4e77d · outbound

This paper cites Variational Neural Cellular Automata.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Variational Neural Cellular Automata

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T22:53:57.664451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5c27fe7-d43a-4c5f-8c40-ac815aed3dc6 · outbound

This paper cites Advanced cell classifier: user-friendly machine-learning-based software for discovering phenotypes in high-content imaging data.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Advanced cell classifier: user-friendly machine-learning-based software for discovering phenotypes in high-content imaging data

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:02.301685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a9ca31eb-e2f6-4f8a-9762-4465497f6470 · outbound

This paper cites Self-classifying mnist digits.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Self-classifying mnist digits

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:02.004554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b835acfd-3a0d-4bb0-a57e-881f8163cbf2 · outbound

This paper cites Learning spatio-temporal patterns with neural cellular automata.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Learning spatio-temporal patterns with neural cellular automata

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:01.354385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation aa8d9ce7-12da-4d4c-905d-1d4929174424 · outbound

This paper cites Morphogen gradients: from generation to interpretation.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Morphogen gradients: from generation to interpretation

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:01.073326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation abb7c71b-f0a4-4f84-b10e-62f5a1f7f11d · outbound

This paper cites Spatial biology of cancer evolution.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Spatial biology of cancer evolution

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:00.832662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9a24f31b-8cea-4e73-8e9e-cb3e43152072 · outbound

This paper cites Cancer stem cell tumor model reveals invasive morphology and increased phenotypical heterogeneity.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Cancer stem cell tumor model reveals invasive morphology and increased phenotypical heterogeneity

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:00.482944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e38265d9-1b89-4511-bca5-1ed8b229843f · outbound

This paper cites Quantification of spatial subclonal interactions enhancing the invasive phenotype of pediatric glioma.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Quantification of spatial subclonal interactions enhancing the invasive phenotype of pediatric glioma

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:00.238609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0537586c-0b39-4191-be27-7dc35b26c713 · outbound

This paper cites Attention-based neural cellular automata.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Attention-based neural cellular automata

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:53:59.957054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c824c2c6-0feb-45e7-b982-0c974121f9cc · outbound

This paper cites Theory of self-reproducing automata.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Theory of self-reproducing automata

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:53:59.690811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ad41b189-bc99-47ff-9726-673509873f12 · outbound

This paper cites Learning to Generate 3D Shapes with Generative Cellular Automata.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Learning to Generate 3D Shapes with Generative Cellular Automata

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T22:53:58.766694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 866f95f3-ce2e-4652-b906-7d5a3085c54a · outbound

This paper cites Outdoor scene extrapolation with hierarchical generative cellular automata.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization Outdoor scene extrapolation with hierarchical generative cellular automata

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:53:59.500626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 17a81ece-a83c-44e2-897d-6487fa3818fe · outbound

This paper cites write newline.

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization write newline

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T22:53:59.056424Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.