Paper Citation Record · LEDGER

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes

As of 22 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2506.12726.

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

pith.paper-citation-record.v1
2506.12726 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:53:26.396592Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:44:02.496919Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T18:44:02.581043Z

Reference resolution

26 of 26 outbound references displayed

verified exact4
verified fuzzy15
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9756aa8f-adfe-4646-a071-97ce0e5ed0cf · outbound

This paper cites Beauquier, M.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Beauquier, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:30.674980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4b08d23b-6fb6-4ff0-bfb6-d87ee14b4cba · outbound

This paper cites Berger, The undecidability of the domino problem, Memoirs of the American Mathematical Society, 66(1966), 1-72.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Berger, The undecidability of the domino problem, Memoirs of the American Mathematical Society, 66(1966), 1-72

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:30.451364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 85981dc1-2a0b-4efc-a8c5-ae49b1ec03e7 · outbound

This paper cites Bhattacharya, Periodicity and decidability of tilings of Z2.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Bhattacharya, Periodicity and decidability of tilings of Z2

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:30.181431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2b62a2d3-f276-4bae-a4b5-b7beb4f162e7 · outbound

This paper cites de Dios, J.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes de Dios, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:30.011182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 23db36f3-3cea-4925-ac24-cbe230065bd7 · outbound

This paper cites an unresolved cited work.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:53:29.847036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6d1f400e-0988-4abf-8af8-2d799a590e0c · outbound

This paper cites Gonz´ alez-Aguilar, D.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Gonz´ alez-Aguilar, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:29.602932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 94dee6bf-5dec-46f4-8d8b-7a3fa3802305 · outbound

This paper cites Greenfeld, T.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Greenfeld, T

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:29.406106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d8536eb4-4123-48bb-8dbc-6c50575b43c4 · outbound

This paper cites Greenfeld, T.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Greenfeld, T

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:29.175700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bf66b108-de84-4881-b4bc-8898eac314a9 · outbound

This paper cites Undecidability of translational monotilings.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Undecidability of translational monotilings

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T00:53:24.502819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1e0d678-3f2f-4a4b-a78b-5868c52cfe38 · outbound

This paper cites Gr¨ unbaum, G.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Gr¨ unbaum, G

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:28.945918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 82a86193-cb2d-4a49-839d-b6a7f8202928 · outbound

This paper cites Kim, Undecidability of tiling the plane with a set of 5 polyominoes, (2025), a manuscript.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Kim, Undecidability of tiling the plane with a set of 5 polyominoes, (2025), a manuscript

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:28.734309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 164a041c-48b2-4b4c-9ddc-cf331a057267 · outbound

This paper cites an unresolved cited work.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:53:28.616029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f1059f0e-1440-4366-864e-2e3f9d88526b · outbound

This paper cites Ollinger, Tiling the plane with a fixed number of polyominoes, In: A.H.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Ollinger, Tiling the plane with a fixed number of polyominoes, In: A.H

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:28.479211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1cb07065-4403-4890-a419-ec0929edc838 · outbound

This paper cites Sidorenko, Periodicity of one-dimensional tilings.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Sidorenko, Periodicity of one-dimensional tilings

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:28.169725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6195c119-06c2-40f4-994a-1d22cd9fbce2 · outbound

This paper cites an unresolved cited work.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:53:28.041101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ae234401-3075-499e-a5c5-44e92d66dff3 · outbound

This paper cites Wang, Proving theorems by pattern recognition-II, Bell System Technical Journal, 40(1961) 1-41.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Wang, Proving theorems by pattern recognition-II, Bell System Technical Journal, 40(1961) 1-41

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:27.846650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fc09f82a-07fd-4304-a6d0-5d2cb927e2b3 · outbound

This paper cites Winslow, An optimal algorithm for tiling the plane with a translated polyomino, In: K.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Winslow, An optimal algorithm for tiling the plane with a translated polyomino, In: K

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:27.615929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation eb98ed6a-3549-4400-9f81-83045e323c45 · outbound

This paper cites Yang, Tiling the plane with a set of ten polyominoes, International Journal of Computational Geometry & Applications, 33(03n04)(2023), 55-64.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Yang, Tiling the plane with a set of ten polyominoes, International Journal of Computational Geometry & Applications, 33(03n04)(2023), 55-64

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:27.458504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 45210e9c-6945-4747-b5ae-6aa6b866c003 · outbound

This paper cites Yang, On the undecidability of tiling the plane with a set of 9 polyominoes (in Chinese), SCIENTIA SINICA Mathematica, (2024), https://doi.org/10.1360/SSM-2024-0035.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Yang, On the undecidability of tiling the plane with a set of 9 polyominoes (in Chinese), SCIENTIA SINICA Mathematica, (2024), https://doi.org/10.1360/SSM-2024-0035

Reference 19

Resolution: verified exact; doi, observed 2026-08-07T00:53:26.894369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a2aa337c-d237-4a4d-a6e1-4f3623108b0d · outbound

This paper cites an unresolved cited work.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-08-07T00:53:26.747077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1014eed6-4d15-4338-b038-d262eeceabcd · outbound

This paper cites Undecidability of Translational Tiling of the 3-dimensional Space with a Set of 6 Polycubes.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Undecidability of Translational Tiling of the 3-dimensional Space with a Set of 6 Polycubes

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:53:27.104278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8c21e9ad-a4a0-40e1-a085-6587d1d745f3 · outbound

This paper cites an unresolved cited work.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-08-07T00:53:26.570127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 765481b5-b631-4483-ae04-4653161d20e4 · outbound

This paper cites Undecidability of Translational Tiling with Three Tiles.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Undecidability of Translational Tiling with Three Tiles

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T00:53:26.193379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9425be89-a466-44f0-8183-223275fa307d · outbound

This paper cites Translational Aperiodic Sets of 7 Polyominoes.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Translational Aperiodic Sets of 7 Polyominoes

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T00:53:26.299552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 048a4c73-2b07-4570-8450-8a13b6c09219 · outbound

This paper cites Zong, Can you pave the plane with identical tiles? Notices of the American Mathematical Society, 67(5)(2020), 635-646.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Zong, Can you pave the plane with identical tiles? Notices of the American Mathematical Society, 67(5)(2020), 635-646

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:53:27.288547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ad7aacbe-9ebf-48e2-b813-afdaab0a8a81 · outbound

This paper cites an unresolved cited work.

Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes Unresolved cited work

Reference 5457

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:53:28.315297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation f43894c1-8520-421c-81d0-a71573e03228 · inbound

Undecidability of Translational Tiling of the Plane with Four Tiles cites this paper.

Undecidability of Translational Tiling of the Plane with Four Tiles Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:44:02.592670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.