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Paper Citation Record · LEDGER

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

As of 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.123795Z digest=sha256:f26a5caf8e23d407468c03a1dffbc9876802e0933d96ab6f772c3df8fa2317c0

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.196737Z digest=sha256:e6b2cd647201e79287713b2ccec270b1b53d45bc08398a9214cc194c66997f72

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.359027Z digest=sha256:601d40f98acdcfe63987b4d66d9ee0c383a7a9476230a16c58f50889b9238bc3

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.362215Z digest=sha256:d4c013f10d4f18581c07b9079ecfb89692136507d889fe5c95a11b76546351f4

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.382042Z digest=sha256:c9466ffe03399337fa7b763240047ee0be1ba4d0cae09982ad457b94f4fd71ea

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.412312Z digest=sha256:521059d319db72f4983ac4341028b6cc7d8b74b9b213eaadc9c76e54a05a0349

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.417181Z digest=sha256:00889c2dbc7da55985b852159b5863fcfd6f55d1c98421b7c2476ae3a7da21f7

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.420405Z digest=sha256:02e6afd4759f5be2c620d73f2650fb5bef2e227d168e89bd72a32e4465c232b9

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.423397Z digest=sha256:de80be31346e3fe9d559f736a78fb9380d23dae3b85cce8b59bdf0eeac6d9b80

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.426584Z digest=sha256:60e4c5370c7a2452c65d3449c1b9ec89c9a3e017d2c84b23ebd74811eb82d45d

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.429572Z digest=sha256:fe881b712fee11d8382c7a1ea234a317a1e2290c583ee930ae6a5b02af4ded7c

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:ed16191fe6db86cf2ef5450889af5d270d452dc167d596265dfaab9bffcb14b2

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.435238Z digest=sha256:91eabe859bfc536fa4217f15f9c80449c724909e6e679dd2a3efdda69b836316

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.437853Z digest=sha256:16772c8d17d1cff66134aa84332a1283b50a757f698f85af7060d09e32c4347a

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.440914Z digest=sha256:7d932e7cdc686c94ba885c0fd5377bf8c2f0a3b968884ca8833a42c7cbf32877

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:dcf616d77c6ef878fbe17f0abfa1bb37b18200cff3bc1d3077176c988d6a5e69

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.446629Z digest=sha256:5b1f8aefcd586579edfec4a1e4447c5360f0ebf65079f0177fa6cf1bf5fef4c6

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=sha256:8776051c8d85278ce76a56d676d36d91bb628c0136e0d1af27f3b6b2e31fdf4c

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.451892Z digest=sha256:6ad88e1a0f32a6c323f78c295dc258b6e98985baa0af94659b425d8fae81f21b

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.454505Z digest=sha256:a35c219e7e685054179d04d9065934b2b618f38c20d99fb3c295e328f754de99

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.457347Z digest=sha256:53a0387210e7d4d526f64ce32de7cb3b8778f9d397cca0bf87dd5d0a2dc7ff39

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:35:16.460418Z digest=sha256:8bbfc096be453a0d818012c062b211da5f3018d03824aaa1fec008ed7781bc62

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=sha256:02db809b7737689c3a6a7540f28a4ec9d354dc3ca56a69c64714727d668b41c6