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Paper Citation Record · LEDGER

Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles

As of 20 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 2026-08-20T06:33:59.587034+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:bd0296fbcef84465c40d0055badaa3b2d4e408757fd45fd0291f61bea1b6e3ce

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:b457d48e5d1409dcbfa32ebc88290a2f5c63d2c1ca0916331aed5b6ca3dde66b

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:24143de103d1c4fbb6ba05e404dad95820d2ca2deb5901f17ee7ecef5dcdfeef

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:243ef318adbb879357d99329346c8beb5472224d2260ce9e73d074184e738acc

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:c1bfa5815c54f219197c44c61b5d1574a0d4f03d5ce13cd68a8769b63679128c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:c3754bf18f1e610af881b33bb433e70a6a6736994efed829aba08847d7a45a9b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:11ece8a1609349fcd989c264c1622d8441e976eb5fc34ea8d103312d0fea216c

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:a647c19d43eb87b69b171463265f9e6e09cce5b09eb627cf609ff4a1bc3e73c0

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:e685798a699585545a60a5c912bce777e23260ae6d73ae7f29ce6dbb8e661a9d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:c5a700a5efd6b9b0319cf4f52fda7a094c59e3bbd745f666b890c9cab51af7e8

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:ab5dbe9ccd0098219fdd0690a30d4a7412641525d268ffa20a2ab96a78b19a70

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:852769a877231bf732cc957e167904018008568a76077d6f7cdc8bcaef22fd8c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:1c081fec9ade964603d9c9eab28b430293a93e3a73bdb5c96d323374d4454f6b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:733851f25a7a97e6d80e496dbdda1103cff4c7477e6dba08dd19d1c71fef77d9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:87ce4671a405f3fa4333a4ba2c84b66a2ef925387af95e1e9847fab6e381e829

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:51cefb5f5928d450ec341c627dfcc92bd8c1c3ac42257e03fa1ef411dca016f5

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:36ef0585a91ac24c969f7592e373132c683490e81e7c4ea40522eb70460758d2

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T10:24:32.505114Z digest=sha256:9e89bf0dca9f5929efdbe0825c4afd34d61e33928901cd5b344b64e4bacb217c

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 2026-08-20T06:33:59.587034+00:00.

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Pith citing papers

No inbound Pith citation observations are available.