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Paper Citation Record · LEDGER

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation

As of 7 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2506.04912.

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

pith.paper-citation-record.v1
2506.04912 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:35:16.460418Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T19:16:27.636276Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy6
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 04177ece-5534-417c-840d-935de10d66a7 · outbound

This paper cites Hierarchical Neural Cellular Automata , volume ALIFE 2023: Ghost in the Machine: Proceedings of the 2023 Artificial Life Conference of Artificial Life Conference Proceedings.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Hierarchical Neural Cellular Automata , volume ALIFE 2023: Ghost in the Machine: Proceedings of the 2023 Artificial Life Conference of Artificial Life Conference Proceedings

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:35:16.684653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.123795Z digest=sha256:0124f23928fcc6428b38b200bb50a7bca69bd84af1da47804b38735bbcb118be

Observation f68519a2-c826-4a02-ae8f-6478263c99c5 · outbound

This paper cites H., Cannon, D.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation H., Cannon, D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:35:16.676161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.196737Z digest=sha256:081978b130cf496ac436a68dc2be84cdecd0b662159cc52f3a6f6e4c1e2d22e8

Observation 5335925c-ac05-46d0-b42f-338ffd474dda · outbound

This paper cites an unresolved cited work.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:35:16.667882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.359027Z digest=sha256:206d87b4b87fd53fb505a776b30db528f24acc99ee9dc5bd56c90db9a280ae2d

Observation 9b748cca-7ec6-4425-80c0-d143b8684089 · outbound

This paper cites an unresolved cited work.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:35:16.659119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.362215Z digest=sha256:d90ec88802c30ea749319fd876ac9fd2de3628f28f309bbed4ac51e3e187a208

Observation c66440bb-ce60-483a-bd1a-33fe52b38525 · outbound

This paper cites and Schmidhuber, J.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation and Schmidhuber, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:35:16.649917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.382042Z digest=sha256:e8a455b97dfbf917becee9cfaed4d71e7e94e8ed7fea51547a938b19418cd606

Observation 4183b014-9b62-4857-a3b7-a1a5609c52b7 · outbound

This paper cites an unresolved cited work.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:35:16.641360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.412312Z digest=sha256:7449d5aa73a0d92631c51f5a1294156e2807a6297ca2c2a9d86a1b1e02123e9e

Observation c4ec581c-98ce-403d-b482-df48d97d0442 · outbound

This paper cites an unresolved cited work.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:35:16.632548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.417181Z digest=sha256:06d8550c418553bab9848ffacb773397bb20b808a74b8d60a8d316a6b767c359

Observation 3bc4f8f6-8397-425b-8246-741a32544e48 · outbound

This paper cites an unresolved cited work.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:35:16.623415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.420405Z digest=sha256:f79681fccafe00d01f24948c013d25a705f11b3174d4c0883762c1cd41db04ab

Observation 491c6393-66bb-4c7a-9182-8c803739d712 · outbound

This paper cites CAM-8: A Computer Architecture Based on Cellular Automata.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation CAM-8: A Computer Architecture Based on Cellular Automata

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:35:16.526514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.423397Z digest=sha256:c4d100535d51b946a43d84b0462d25aafe90ecbf54f5730a9ce862eeff2a5eb1

Observation f3ed725a-4f9a-4982-8e6d-b2c60dbe523c · outbound

This paper cites Differentiable cellular automata.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Differentiable cellular automata

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:35:16.512251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.426584Z digest=sha256:03c2e7a53a1e7f07a91f39747912d017cfef27d137a64471fa6137afaac67944

Observation 2f35a0d5-2aec-4c09-bc43-695aae16bd35 · outbound

This paper cites P., and Hraber, P.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation P., and Hraber, P

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:35:16.614677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.429572Z digest=sha256:8c0e4d5b8c79bb59c6f29dbc764a7990d286e1b858f1a7fba0d73a28694d6efe

Observation 9cdc083f-b44a-4ebb-a513-a3eef8b70b0d · outbound

This paper cites an unresolved cited work.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T10:35:16.432235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:35:16.432235Z digest=sha256:d5d110caf2c7185f9c756db436f934d8e71a33b1867459a4320f305338a396ae

Observation 87ee02a4-dc97-4189-a297-3f2a9b5993f3 · outbound

This paper cites an unresolved cited work.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:35:16.599867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.435238Z digest=sha256:a7c14b807278c5ad4f5680d23b8e718c7aafa506acdd880b62e6b28918ae8086

Observation a62a58af-1d16-4b0b-8d81-98260ad1a921 · outbound

This paper cites an unresolved cited work.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:35:16.591254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.437853Z digest=sha256:f5cc2a34d5988a74abb8227c66806501f36bfdd1fc2d9008703b03af62b68a5b

Observation 2dfe9406-8714-4b00-8df9-a41e19fefbc3 · outbound

This paper cites an unresolved cited work.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:35:16.583169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.440914Z digest=sha256:330ba2fba5be59d1fe08ac0c490afbf9cffc3be2f668ee94425b3ba78e9af334

Observation cb629c12-1559-4ba7-a2c7-caa374276cc1 · outbound

This paper cites Convolutional Differentiable Logic Gate Networks.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Convolutional Differentiable Logic Gate Networks

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T10:35:16.443897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:35:16.443897Z digest=sha256:c4c33905f4bf2d2d5b48ea1ceaef0db541c5f1b6ef69f0f4869883d23ca401c2

Observation f8aaf2c5-154a-4f68-a800-6747bf81f6a9 · outbound

This paper cites an unresolved cited work.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:35:16.574408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.446629Z digest=sha256:08862b3d5e8ab870100aa209bae23589167594bc6c059e84600b9e1f3ea7cd22

Observation 8e365c75-0cec-4aa7-8812-b46a2db890fc · outbound

This paper cites Image segmentation via Cellular Automata.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Image segmentation via Cellular Automata

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T10:35:16.449165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:35:16.449165Z digest=sha256:77ea14e934c0bf62ca765e66cf7e0c1ab2a7b131740d9f583ef718402f1452e7

Observation 34c02d27-5a02-4629-a628-0a995dd3127e · outbound

This paper cites an unresolved cited work.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:35:16.564603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.451892Z digest=sha256:28eb25d2f894ad68b74639669a245229e50dbcfb5ca4dce03bea809fadec58b7

Observation 481c08d1-35d0-488d-af1f-1e029c5cbdf9 · outbound

This paper cites and Margolus, N.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation and Margolus, N

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:35:16.555307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.454505Z digest=sha256:53751ff555950852cc5c49f5f0f8c704d74655e5246ecba9e7ad3f89528cc326

Observation 1d0cd812-9ea1-4457-93b1-f9a44f684b0f · outbound

This paper cites B., Moreno, R., Faina, A., Stoy, K., and Risi, S.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation B., Moreno, R., Faina, A., Stoy, K., and Risi, S

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:35:16.545690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.457347Z digest=sha256:da93ef6c1b6ce11cb3151b24f1fabb02e0f171433c5740d94edf23aabad63a15

Observation 4884de0c-034f-44a1-a1ff-f482657886dd · outbound

This paper cites an unresolved cited work.

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:35:16.536264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.460418Z digest=sha256:a9b81ba8c84811cc75d1800d265d4f9069853a5a87eb8f3025d7aa74462dc02d

Pith citing papers

Observation 75e0045a-7830-432d-afea-bc4cae6c797f · inbound

Differentiable Weightless Controllers: Learning Logic Circuits for Continuous Control cites this paper.

Differentiable Weightless Controllers: Learning Logic Circuits for Continuous Control Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T19:16:27.636276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T19:16:27.636276Z digest=sha256:c48852ecb98c8e7de9a02cd7d1d52335f5bcfae4c49c222383689b7486d1a198