Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T22:50:40.559655Z
Paper Citation Record · LEDGER
Some variants of the periodic tiling conjecture
As of 22 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2505.06757.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
32 of 32 outbound references displayed
- verified exact0
- verified fuzzy20
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 72851889-1fac-40cd-b392-db854931beae · outbound
This paper cites Austin, Private communication, 2023.
Some variants of the periodic tiling conjecture Austin, Private communication, 2023
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:41.053103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c73f8c1d-df92-440a-bf76-2268f94bb05e · outbound
This paper cites Beauquier, M.
Some variants of the periodic tiling conjecture Beauquier, M
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:41.038946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ba322650-f06f-49c0-8a60-b0a2feb8fd78 · outbound
This paper cites Bhattacharya, Periodicity and Decidability of Tilings of ^2 , Amer.
Some variants of the periodic tiling conjecture Bhattacharya, Periodicity and Decidability of Tilings of ^2 , Amer
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:41.024947Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 03450089-7073-4085-987c-07a9e6bce7f8 · outbound
This paper cites an unresolved cited work.
Some variants of the periodic tiling conjecture Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:50:41.010420Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9721903a-b66c-4498-8bdf-9e47e518a822 · outbound
This paper cites an unresolved cited work.
Some variants of the periodic tiling conjecture Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:50:40.996493Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a28a3554-8b79-415d-8da6-ffd3922f36c9 · outbound
This paper cites de Dios, J.
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.982386Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7a5df5c8-da62-4618-aa67-7e94b48e2725 · outbound
This paper cites Girault-Beauquier, M.
Some variants of the periodic tiling conjecture Girault-Beauquier, M
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.968455Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a2a30db7-670c-40b8-ad6a-10bb1ae5bb56 · outbound
This paper cites Greb\'ik, R.
Some variants of the periodic tiling conjecture Greb\'ik, R
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.953693Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f0e1b920-4cf9-4165-839e-705e1a3fa9eb · outbound
This paper cites Greenfeld, M.
Some variants of the periodic tiling conjecture Greenfeld, M
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.939454Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b96cccb9-096f-47c7-9a5e-7a5282d601d8 · outbound
This paper cites Greenfeld, T.
Some variants of the periodic tiling conjecture Greenfeld, T
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.925234Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 07d9f486-f066-42a1-9b92-ff6ad69a6e39 · outbound
This paper cites Greenfeld, T.
Some variants of the periodic tiling conjecture Greenfeld, T
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.911207Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9a1f27db-b44d-4981-9996-89cef1c0e61e · outbound
This paper cites Greenfeld, T.
Some variants of the periodic tiling conjecture Greenfeld, T
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.897546Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 576d02ac-026d-450e-9874-0e3201086d23 · outbound
This paper cites Undecidability of translational monotilings.
Some variants of the periodic tiling conjecture Undecidability of translational monotilings
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:50:40.474074Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd908dad-4d2a-46ca-883a-a0b67ba78b21 · outbound
This paper cites an unresolved cited work.
Some variants of the periodic tiling conjecture Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:50:40.883765Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 32de1747-6a0d-459c-8297-bc3425b137c5 · outbound
This paper cites an unresolved cited work.
Some variants of the periodic tiling conjecture Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:50:40.869180Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2e42b1d3-f46e-40c4-9389-73819011d525 · outbound
This paper cites Kenyon, Rigidity of planar tilings, Invent.
Some variants of the periodic tiling conjecture Kenyon, Rigidity of planar tilings, Invent
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.854106Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1cd47495-ccf6-4fd3-9832-5025db080c1f · outbound
This paper cites Kenyon, Erratum: ``Rigidity of planar tilings'', Invent.
Some variants of the periodic tiling conjecture Kenyon, Erratum: ``Rigidity of planar tilings'', Invent
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.840080Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 237cd34d-f86d-4895-a178-3402c97242a9 · outbound
This paper cites an unresolved cited work.
Some variants of the periodic tiling conjecture Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:50:40.824513Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 04a0f55d-5fcb-44b5-8a6d-5278a191b846 · outbound
This paper cites an unresolved cited work.
Some variants of the periodic tiling conjecture Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:50:40.810336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a057edf8-2517-45f8-82a5-4bbfcc9b7465 · outbound
This paper cites Leptin, D.
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.795855Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dbec5350-6c67-4fae-a228-66e58e1b02f4 · outbound
This paper cites an unresolved cited work.
Some variants of the periodic tiling conjecture Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:50:40.781568Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ce441da3-28e6-48bf-a1a5-27087525bfec · outbound
This paper cites McMullen, Convex bodies which tile space by translations, Mathematika 27 (1980), 113--121.
Some variants of the periodic tiling conjecture McMullen, Convex bodies which tile space by translations, Mathematika 27 (1980), 113--121
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.765526Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2e955ccd-f4f7-46f2-afe2-ee269a844059 · outbound
This paper cites Meyerovitch, S.
Some variants of the periodic tiling conjecture Meyerovitch, S
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.750965Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 62bebab8-b634-4ab6-baa2-dfd1b976f2b4 · outbound
This paper cites an unresolved cited work.
Some variants of the periodic tiling conjecture Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:50:40.737012Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9a92b24a-75da-4c38-a97f-89ad7fc2da83 · outbound
This paper cites Nivat, Invited talk at the International Colloquium on Automata, Languages and Programming (ICALP), Bologna, 1997.
Some variants of the periodic tiling conjecture Nivat, Invited talk at the International Colloquium on Automata, Languages and Programming (ICALP), Bologna, 1997
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.722407Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 587c504f-2079-4293-9578-d45380eb77ce · outbound
This paper cites Poonen, M.
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.707710Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation db06c1b9-6201-45ff-a4c4-3045728e1619 · outbound
This paper cites an unresolved cited work.
Some variants of the periodic tiling conjecture Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:50:40.692306Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3ad8130c-93b2-437e-96b5-deb2fffb8a42 · outbound
This paper cites an unresolved cited work.
Some variants of the periodic tiling conjecture Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:50:40.675474Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d39e3e3f-a02f-4bb6-8206-3c905e7003a3 · outbound
This paper cites Szmielew, Elementary properties of Abelian groups, Fund Math, 41 (1955), 203--271.
Some variants of the periodic tiling conjecture Szmielew, Elementary properties of Abelian groups, Fund Math, 41 (1955), 203--271
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.660706Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a57e60f3-6d2f-40cb-a853-5ea8bbca9eea · outbound
This paper cites Tijdeman, Decomposition of the integers as a direct sum of two subsets, Number theory (Paris, 1992--1993), 261--276, London Math.
Some variants of the periodic tiling conjecture Tijdeman, Decomposition of the integers as a direct sum of two subsets, Number theory (Paris, 1992--1993), 261--276, London Math
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.645677Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e263671d-adb4-4270-870a-f104f9be303a · outbound
This paper cites an unresolved cited work.
Some variants of the periodic tiling conjecture Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:50:40.630452Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e1e2506f-7284-4baa-bce1-40b34f006e18 · outbound
This paper cites Wang, Dominoes and the case of the decision problem, Mathematical Theory of Automata pp.
Some variants of the periodic tiling conjecture Wang, Dominoes and the case of the decision problem, Mathematical Theory of Automata pp
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:50:40.613812Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
No inbound Pith citation observations are available.