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Paper Citation Record · LEDGER

Tiles and weak tiles in $\mathbb{Z}_{pq}$

As of 7 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.02149.

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

pith.paper-citation-record.v1
2607.02149 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T08:23:31.835786Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 635515c1-44df-49bd-a143-4c53cbcbe984 · outbound

This paper cites Coven and A.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Coven and A

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:140c00c9dbb40b30861e1ff1425788c48bb427ac2510d9ef81d288a43482faaa

Observation a286ea57-2ca4-4c10-a416-7d1dd6ec103c · outbound

This paper cites Farkas, M.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Farkas, M

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:f9e8be9886b7ebd23b63f24c31113fcdf2c403fd492891ac5f308d4c81baf901

Observation 529ba84a-c501-4e68-9231-a254000522cc · outbound

This paper cites an unresolved cited work.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:07ac2868629267f0e31dcb90ec5ba7144cf73ad16b546b3b46230268cba9d24a

Observation ad4d397c-1287-4f77-afe3-de25342f9ff6 · outbound

This paper cites Greenfeld and N.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Greenfeld and N

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:983d89220ba1771ed2a678bd441b30ecdf9ad1163b606374a4ddd9676b72cf00

Observation 90c9592c-eedb-42c1-8c4f-24eecc38f80e · outbound

This paper cites Iosevich, N.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Iosevich, N

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:465801ee03043709de098153dbdc4359f9a79a59b4fce7c8533bcb6e0d22298c

Observation f6b4f010-a871-45e3-9a71-b7d33316afa1 · outbound

This paper cites an unresolved cited work.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:463356512ab9c1898b287efcd1fd5f3fe970e4ab9c431dc79ab80383673d525e

Observation 7ae3d808-2c17-448f-97eb-cb7b52bb5495 · outbound

This paper cites an unresolved cited work.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:9a9733d3a3eb418b2614ca11fd8100816a7d31c367f1f14ecfa9fb2324dd546a

Observation f3227ced-148b-4cfd-9f23-4895a1988df7 · outbound

This paper cites an unresolved cited work.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:5ef611f3897bae8e1e567bfe87666b08e12fd1167f14174bca59b8211c8c02fc

Observation 32fd135f-2a8e-4f06-b73c-1394ed325c2f · outbound

This paper cites Kolountzakis and M.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Kolountzakis and M

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:4c22bd109e20c6a7f36a6fdff5c93be93abc73e160c0d6a28b2a63a0aea75d82

Observation 2954d6a4-563f-4c96-9c11-59a3ba7ddce9 · outbound

This paper cites Kolountzakis and M.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Kolountzakis and M

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:cbc79c855daad8f5b48ff91a6a76638533e2aedf7c3c1e82f491c809aca20503

Observation e4e84763-9e0d-466b-8717-b614605aa833 · outbound

This paper cites an unresolved cited work.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:9047ecf2fc5c54daf9df571b647ce82f29d5e85ebbd8c364eb352e0ab88362f9

Observation 506a4450-0a8d-4775-a08b-c29cf3b1801f · outbound

This paper cites Lev and M.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Lev and M

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:db45dbade859e6ccf0cabecdac5f76eaf9931c66124237753d4611af7bd368b4

Observation 8eead1f3-b0dd-467b-9c2f-ad4b919c8bd6 · outbound

This paper cites Malikiosis.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Malikiosis

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:bccd3a45af44ab16873fb83658fe8bf9eb1bffce0b2f4a95e2ff752379f3f894

Observation 0a76035a-0050-4726-a24a-2781c6024ae9 · outbound

This paper cites Malikiosis and M.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Malikiosis and M

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:248dd3ac2f57169f745dac051300ee1c12d8c331c9875ef07d8758e58b503be6

Observation 2e82d9f7-1352-479d-ba68-ee9ca5e063ee · outbound

This paper cites Matolcsi.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Matolcsi

Reference 15

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:12c5db772360eb89b0494865866323bc2cc786c567db24b17a1dbe18dbca6d3c

Observation 28c4dfa9-7c07-432f-b0a3-9789f873a585 · outbound

This paper cites an unresolved cited work.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:942e037491ed6ec8eea9cb24104559461d9b544b45277485dabd515d1439df83

Observation 5455d399-49ad-4fa8-be75-79240d039150 · outbound

This paper cites an unresolved cited work.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:2d0ad341957c2e3404cc60f74352d7560d557b4da83e4b9c973843e7d3dbe46c

Observation 0181c81e-8244-407a-9fed-aed9df186de6 · outbound

This paper cites an unresolved cited work.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:ef9aa5bc3f3c1b5570a2cbdad7c05103d26f58749d48914e558c941601fa3ae0

Observation 949553ee-3af3-4217-8dfe-edb2d3af9598 · outbound

This paper cites an unresolved cited work.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:2653a2efdc760a5ffbfd03a818766a21c10cc4506e13c51497bd5fc0366ee752

Observation 23dd100b-2e77-4e9c-a866-b6703649f758 · outbound

This paper cites an unresolved cited work.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:7dbdfdd67956a0187636cc0f419f8beadba6d465aaa8ca07c07b365c7e5b697b

Observation 666e9518-7d1c-45bb-a853-263b96076952 · outbound

This paper cites an unresolved cited work.

Tiles and weak tiles in $\mathbb{Z}_{pq}$ Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-07-12T08:23:31.835786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T08:23:31.835786Z digest=sha256:1ee649caea6b3ef9996e68e30b5036692c4bdd2aee254e90a09e7ce5649b80aa

Pith citing papers

No inbound Pith citation observations are available.