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Paper Citation Record · LEDGER

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles

As of 4 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2603.27827.

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

pith.paper-citation-record.v1
2603.27827 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-21T10:24:32.505114Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+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

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy13
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 53bd0783-18e1-4e1c-b746-52594474683f · outbound

This paper cites 138, Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2019, pp.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles 138, Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2019, pp

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:25:00.119345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

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Observation 6a776ae6-1dd3-42a2-b11e-c63552d93cf2 · outbound

This paper cites an unresolved cited work.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-21T10:25:00.087004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:11a04d01e19e17a38d551b8d488097274f3bea1d9deab2823e4d857edefcd057

Observation a9a538db-07e6-4316-ad26-b83ecbe9c13e · outbound

This paper cites thesis, Harvard University.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles thesis, Harvard University

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:25:00.089340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:eccd57357192a09f27eae516c9bc264ed7800fe37f00cc73cd00ff688f83c096

Observation 442209bf-0ef7-4519-b1a0-545d09c82159 · outbound

This paper cites an unresolved cited work.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-21T10:25:00.096571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:9464ce9ccf64dba26bc3f9deb31f7a947da60df7f22b3c1d069b8b98ac5dd349

Observation fb69a7f8-38a6-4d99-833f-63d45268a76b · outbound

This paper cites 1, 138–187.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles 1, 138–187

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:25:00.099297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:f5e2a02ef349dcdc4963328a08fa48e1e802916c7487c410457a40a6b30d5709

Observation 4cd542f1-4a8a-4654-b755-b4d5fe533bae · outbound

This paper cites Geom.65(2021), no.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Geom.65(2021), no

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:25:00.091761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:44bef101dcbe6f8fcf02926ce852d7565002429eaced3dc10bb86852c029b678

Observation 3047752d-4a21-4969-9618-8a6a5eb6a808 · outbound

This paper cites Math.159(2005), no.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Math.159(2005), no

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:25:00.094057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:7c029364c0e91def0ecb9d90114650f9b34c92d0726af1fafafc64347c2659dc

Observation e8957265-7ea0-48e0-ab5e-af24f8e697e3 · outbound

This paper cites an unresolved cited work.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-21T10:25:00.081717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:972be88d2bcceaeddb4750f4feaedfa5d4b534c45c134cc8487721706338cad7

Observation 191dfc80-7546-4709-a379-a3613c767603 · outbound

This paper cites an unresolved cited work.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-21T10:25:00.126187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:e1de759f6aa68a5679e0eaade84394d47d9724c0d1f45cb09c362bb28cc5f5ad

Observation 94d6163a-e2d7-4266-b7c8-7f721242cc7c · outbound

This paper cites 44, 4010–4016.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles 44, 4010–4016

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:25:00.113781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:2b88681cedd6a0e420b8b75c69acebc12a59b27425d3f5213e1feb64d1e5ba26

Observation bb12e134-0e4a-46d0-a998-ef983db7feca · outbound

This paper cites 44, 4010–4016.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles 44, 4010–4016

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:25:00.123868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:754377cc72bc265ca01cf37694eb59581733dffb66663991a8dd70d3d2e13ec1

Observation 363988c2-026f-414f-a471-f6a1e10a8e2e · outbound

This paper cites Kari,The tiling problem revisited, Lect.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Kari,The tiling problem revisited, Lect

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:25:00.078846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:357dfe323264e4be2866f6043f496246ba063df7af872730263442358cdec3b0

Observation f3ef284a-c3e6-4eaa-8a50-43fb9aaedafd · outbound

This paper cites 7, 111911, 7.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles 7, 111911, 7

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:25:00.111436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:b09c1a38704c4598e62bf81679d49adeae9724483aae2e1f2ff97b0655907e26

Observation cbd7505d-9e33-467f-b234-38d2c4bfa0ad · outbound

This paper cites Maiti, Pseud-homogeneous tilings of the hyperbolic plane, arxiv:2302.05661 (2023).

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Maiti, Pseud-homogeneous tilings of the hyperbolic plane, arxiv:2302.05661 (2023)

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-21T10:25:00.025585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:72b8b3bdeb126a64605607f2b0d7a7e297c79ce32c977c3595e10c78e58d6d94

Observation 07cc9e9e-fcc8-4ebd-806d-4a310273aee2 · outbound

This paper cites 1, 29–84.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles 1, 29–84

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:25:00.109149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:55ae2dcd762597c7f310b7baaf2187433c95bf7fcea7ce1372709395b203918f

Observation db959d24-af0f-454a-96e6-0fe27c2f95ae · outbound

This paper cites an unresolved cited work.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-21T10:25:00.121825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:85924c3c9c24b8a970a1fa7dac55c582cb63900dc414c27d08902a5243ccf72a

Observation dd3bf641-1946-4319-965e-81494b8ff0f6 · outbound

This paper cites an unresolved cited work.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-21T10:25:00.084248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:ac92c232a1fac6be404fe2d237fca63857ced89b4b535eb2c458f15849815d30

Observation 70a02731-cfec-4a2e-9c79-f8b9c7de3aae · outbound

This paper cites Exhaustive search of convex pentagons which tile the plane.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Exhaustive search of convex pentagons which tile the plane

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-05-21T10:25:00.035498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:5cf710cdc6811543ac5cbb176db9c5dc47165d33f8f8dec4c430f4715de73e2d

Observation 7c2b05c6-4065-4b16-b5ff-447738625875 · outbound

This paper cites Renault,The uniform locally finite tilings of the plane, Journal of Combinatorial Theory, Series B98(2008), no.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Renault,The uniform locally finite tilings of the plane, Journal of Combinatorial Theory, Series B98(2008), no

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:25:00.104496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:221b0248e18e53cc56f19cef33b7304427b9ec701ffe0c34161f946b143ea16e

Observation 470905aa-2628-4421-a96c-98780ab97afe · outbound

This paper cites Tarasov,On the heesch number for the hyperbolic plane, Math Notes88(2010), 97–102.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Tarasov,On the heesch number for the hyperbolic plane, Math Notes88(2010), 97–102

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:25:00.116768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:dfaa669523661ea940168120b1f8fc5ebc3370880a950c12e3859bfc8f209a02

Observation fc9947e3-257c-4281-a623-d0c45b3fff27 · outbound

This paper cites com.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles com

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:25:00.101816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:348fd9f7cce6e75926f065eee8c63c574fde486045d10f65f337b1fe39ab914b

Observation 3fe3db8c-a9cd-4603-9947-40e028ad8edb · outbound

This paper cites an unresolved cited work.

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-21T10:25:00.107019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:c37a75716dc052479da2387b48f9518747a2c6c1859bc61728847f172ed1c444

Pith citing papers

No inbound Pith citation observations are available.