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Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+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

30 of 30 outbound references displayed

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  • verified fuzzy23
  • unresolved6
  • parse uncertain0
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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:56.383198Z digest=sha256:3fef4f8bc99127347d651ffdb7489b7b4cfa9a7de8b5405ca63bccafae135d53

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:56.500208Z digest=sha256:1ce84631f22a66252d6f8a68a35c238e98c642bd7afce9fa204b80e68b3d8a09

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:56.664109Z digest=sha256:6215bee7773c51229733a01e4938b4ce7aab11c9e893b00ca4bec3bf3a3b025c

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

Resolution
unresolved
no resolver link, observed 2026-08-06T22:53:56.761053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:53:56.761053Z digest=sha256:fb2727f88f0a15e32b9bf62af06cb0be1089319c03d81aa9e3e3c88c3791eca3

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:53:56.931840Z digest=sha256:e82c7deb21e9ff0ce2555f2f623e2d6e6ffe25f2022e807631ef65b571035628

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:57.098218Z digest=sha256:6b6741581e98fc6793b8ebd689b5e3227807a5795e28ce3589dc59d5cba5f697

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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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

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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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:57.285198Z digest=sha256:b4c5096b18774c7c94f2c010bc44ff4113ee8d708b117fc4293a51d4b9f54d1e

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.

source=arxiv_source observed=2026-08-06T22:53:57.399095Z digest=sha256:b3e457c8e6ac34d83467dc498b5dd823c8f21da5ec2b92261926fad52f6f0575

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:57.465889Z digest=sha256:141a85f8cf5b71c1674a8115fdeca808b5ee5a897bcb859740d270598f8e3665

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:57.541018Z digest=sha256:32449642ac007c7edef0184f35b12145aafbc94087d65224b6b2203a74e09497

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.

source=arxiv_source observed=2026-08-06T22:53:57.664451Z digest=sha256:14d1b0547ad12e77a4cff6ddd735f5de48ec32c2b5cc237cdf9cd06c482bfc8c

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:57.833274Z digest=sha256:a3752d4635dfa94e0402ba01ba3ddd98e9dc2b9d4579eb29faaf55f1de8f1ecd

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:58.004231Z digest=sha256:d2e0a1abf039d339cbc120d9d8ccfc0fb7581a1a5ae2b529e633bd5827d66f26

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:58.256688Z digest=sha256:f7470b853f8f30bd191b0238c9f5d4f241c626a27806bb19d54106518296fb3d

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:58.376535Z digest=sha256:6ffbf06d5082088f40615d2b0705511f7132693aa8b105258bcc1133c4234bd2

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:58.522501Z digest=sha256:aadd54c61aa9fab9f5160a10109abf04ad661f1baf5846698d629ecb29eb9b4d

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:58.627891Z digest=sha256:2c2e3ced28fa5f4a96e009914668dbb5b15e73a2088e69eb9a8f6bb4bd4a1667

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.

source=arxiv_source observed=2026-08-06T22:53:58.766694Z digest=sha256:58785364f6ddf5d3ab908d8b7dc5ad1baee790527cb5eed1d1c7cbef844d2403

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:53:58.893498Z digest=sha256:6442aa5a5886d49d67f611bd7ed6e1b9f0416db7ee12077f413831a3aee4fae8

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:53:59.056424Z digest=sha256:eb86591f7e6cc61d58845782d6368802f1be48d9e2e1e36a5c64c56ea48bf46d

Pith citing papers

No inbound Pith citation observations are available.