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Paper Citation Record · LEDGER

Two Tiling is Undecidable

As of 14 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2506.11628.

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

pith.paper-citation-record.v1
2506.11628 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:13:16.082298Z

measured 13 of 13 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T20:09:22.327963Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T20:09:23.157867Z

Reference resolution

12 of 12 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1ac4d63a-90ab-45ca-ae56-4897f5739109 · outbound

This paper cites The undecidability of the domino problem.

Two Tiling is Undecidable The undecidability of the domino problem

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:16.336105Z

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=pdf_text observed=2026-08-07T04:13:16.026336Z digest=sha256:22d627dd6ec2a46e63da21e7350ae5c1941ff43682615beb78b8b35cd8272db7

Observation aaa610b3-5962-4f3b-9300-232c1a4d78cc · outbound

This paper cites Tiling with Three Polygons is Undecidable.

Two Tiling is Undecidable Tiling with Three Polygons is Undecidable

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T04:13:16.031744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:13:16.031744Z digest=sha256:7a61d2691e773e1d50a55e25a29978a0a8f98037a7823ee7076b1f89add1dc67

Observation 90f471a9-9c12-416d-8835-303f6ec06396 · outbound

This paper cites Girault-Beauquier and M.

Two Tiling is Undecidable Girault-Beauquier and M

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T04:13:16.036727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:13:16.036727Z digest=sha256:2c548095f427896ff98dcd0b0e16599c3cd31e5a5e448f9e8c708864acc8e042

Observation f5e12d69-0043-447d-8ac3-e9c203a83723 · outbound

This paper cites an unresolved cited work.

Two Tiling is Undecidable Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-07T04:13:16.157799Z

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=pdf_text observed=2026-08-07T04:13:16.041491Z digest=sha256:8b0ff40d7ea8d5f0b2b3883c857b25d0db1d7e8224b117695dca9d2b4746e663

Observation 1f27e734-1fd4-44c1-bd1f-096c0e751366 · outbound

This paper cites Open questions in tiling.

Two Tiling is Undecidable Open questions in tiling

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:16.320762Z

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=pdf_text observed=2026-08-07T04:13:16.046950Z digest=sha256:e156b83b85ee283ab60534a1ca5638b301a2d5d26cb89c3a05372d4f705bde19

Observation 8d3e6ef9-46bb-42f2-b32f-492a640577d2 · outbound

This paper cites On the undecidability of the tiling problem.

Two Tiling is Undecidable On the undecidability of the tiling problem

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:16.305949Z

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=pdf_text observed=2026-08-07T04:13:16.051797Z digest=sha256:577546e72f01abf275625c5386d0cb62c84b1d260f6a5599442b1f9479bd4453

Observation f2fdfc22-9baa-48e8-afbe-6681d0b47a32 · outbound

This paper cites Two-by-two substitution systems and the undecidability of the domino prob- lem.

Two Tiling is Undecidable Two-by-two substitution systems and the undecidability of the domino prob- lem

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:16.290444Z

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=pdf_text observed=2026-08-07T04:13:16.057289Z digest=sha256:57e88ebb16ef11259a104f6c7def2c69f5537098d753edc95468199cb3dca83f

Observation 0f98304f-5f63-4caf-b839-b1b11fa5a06c · outbound

This paper cites Tiling the plane with a fixed number of polyominoes.

Two Tiling is Undecidable Tiling the plane with a fixed number of polyominoes

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:16.273509Z

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=pdf_text observed=2026-08-07T04:13:16.061709Z digest=sha256:db9cea48fd21e51dcc11360978a7e3598c67726ebbb1698374da12d8ee5f764f

Observation ef590c57-f20e-492e-aaa6-3ca8c0eef978 · outbound

This paper cites Robinson.

Two Tiling is Undecidable Robinson

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T04:13:16.066391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:13:16.066391Z digest=sha256:83e40ba4dfb4b5c145c7e6917c62fba861349efa77c7cfd8507406f4f9b6101d

Observation 4f45d607-2f6c-4b41-9436-fc4e033ebbaf · outbound

This paper cites Kaplan, and Chaim Goodman-Strauss.

Two Tiling is Undecidable Kaplan, and Chaim Goodman-Strauss

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T04:13:16.071877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:13:16.071877Z digest=sha256:a44b9b024fcd3b5aef292565e8f588363381cfe1a681795451325a1b22a10fed

Observation 5cfbcc0c-b29a-410f-b5e5-59f7a5b36aca · outbound

This paper cites Kaplan, and Chaim Goodman-Strauss.

Two Tiling is Undecidable Kaplan, and Chaim Goodman-Strauss

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T04:13:16.076878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:13:16.076878Z digest=sha256:9d3b6e6213b1636122c76c6c4278dc0e64cc436010975fccfd7301f3dc080fc3

Observation bee43a3b-eeda-482f-a685-73192dfb40d6 · outbound

This paper cites Translational tiling with 8 polyominoes is undecidable.

Two Tiling is Undecidable Translational tiling with 8 polyominoes is undecidable

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T04:13:16.082298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:13:16.082298Z digest=sha256:c9e597e20cedf2da7c490d7b41174479abcebac21cab1b3cb32d266587e13c42

Pith citing papers

Observation 54883615-0c8c-408f-9d34-ab6c84e101d2 · inbound

Undecidability of Translational Tiling with 2 Polycubes cites this paper.

Undecidability of Translational Tiling with 2 Polycubes Two Tiling is Undecidable

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-05T20:09:23.212885Z

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=pdf_text observed=2026-08-05T20:09:22.327963Z digest=sha256:dd96b1404e0f811424f2e381f3b117daa1415f659ae9ff69801d87e6d492d87f