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Paper Citation Record · LEDGER

A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity

As of 7 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 1 inbound Pith citation observation for arXiv:2506.07638.

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

pith.paper-citation-record.v1
2506.07638 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:39:47.369144Z

measured 7 of 7 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 2026-08-03T09:01:55.216899Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

6 of 6 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6db1ed5b-ddc4-4f04-bd50-56a3210e991a · outbound

This paper cites an unresolved cited work.

A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:39:47.441226Z

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=pdf_text observed=2026-08-07T05:39:47.352183Z digest=sha256:30f2d1ca5e16ea11c8d176b3a47e77d7e7469df27c0c6ae9c7ebef922807f87d

Observation d4aa5986-6b14-40a3-927c-c31a3ccfc239 · outbound

This paper cites Pentaplexity: A class of non-periodic tilings of the plane.The Mathe- matical Intelligencer, 2:32–37, 1979.

A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity Pentaplexity: A class of non-periodic tilings of the plane.The Mathe- matical Intelligencer, 2:32–37, 1979

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:39:47.432916Z

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=pdf_text observed=2026-08-07T05:39:47.356128Z digest=sha256:d4ca04fdd05e3b1d6fcab537a860afbb81a3c229024661616e433616ad3b110b

Observation ab04fcbb-6a02-4ad1-96d7-e4f9b65a175b · outbound

This paper cites Kaplan, and Chaim Goodman-Strauss.

A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity Kaplan, and Chaim Goodman-Strauss

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:39:47.424766Z

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=pdf_text observed=2026-08-07T05:39:47.359350Z digest=sha256:d691e8800e5c73614e76cc05d791c26716b212138170e7f9b83109c6e621fff5

Observation 1b538424-e238-4c6a-858b-e44c5a56b181 · outbound

This paper cites Kaplan, and Chaim Goodman-Strauss.

A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity Kaplan, and Chaim Goodman-Strauss

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:39:47.416793Z

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=pdf_text observed=2026-08-07T05:39:47.362451Z digest=sha256:f947bd8df483b5bdf0b431527f8611a71c5e18ca9509b9b8f3a15ed7abec89a4

Observation 09832199-d94e-4a43-9af9-44261464dd48 · outbound

This paper cites Zur Zerlegung der Umgebung eines ebenen Bereiches in kongruente.

A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity Zur Zerlegung der Umgebung eines ebenen Bereiches in kongruente

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:39:47.406699Z

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=pdf_text observed=2026-08-07T05:39:47.365555Z digest=sha256:d5604cc986cb74b683f5a86fa12ca934e4fd96fbc012797769f92637f46ae257

Observation 2adae106-81cb-4405-a3cc-500db8a59cdf · outbound

This paper cites Spiral tilings.

A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity Spiral tilings

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:39:47.396051Z

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=pdf_text observed=2026-08-07T05:39:47.369144Z digest=sha256:e7d03f4c6058b50b390bacd6da188df44e9b1470432d739e8ad457b76bff32f7

Pith citing papers

Observation acefc58c-933e-44e8-b93f-68daf19cdbd0 · inbound

Role of (periodic as well as aperiodic) tessellations in contemporary composition. The cases of Tesselles sonores and Le Chapeau \`a douze cornes by Marisa Acu\~na cites this paper.

Role of (periodic as well as aperiodic) tessellations in contemporary composition. The cases of Tesselles sonores and Le Chapeau \`a douze cornes by Marisa Acu\~na A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T09:01:55.216899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T09:01:55.216899Z digest=sha256:a21ee563d098eefaecce69e5deb1086149f3c18ec4ec4574e7e8c9984adad756