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Paper Citation Record · LEDGER

Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre

As of 21 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2607.15326.

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

pith.paper-citation-record.v1
2607.15326 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:38:16.992849Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 87fb4353-1224-407f-b240-fe0a3e3cbbf9 · outbound

This paper cites The Penrose Tiling is a Quantum Error-Correcting Code.

Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre The Penrose Tiling is a Quantum Error-Correcting Code

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T00:38:16.523743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:38:16.523743Z digest=sha256:cd2cbd4b8b6ba9e1609a735ca77459456f84cb0b8a59a73716b197fccb22e40f

Observation a5d9e27e-1ba6-4864-bacb-c7c3ebc98855 · outbound

This paper cites An aperiodic monotile.

Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre An aperiodic monotile

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T00:38:16.554875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:38:16.554875Z digest=sha256:17e87fd00d945610005ab5dd3d713a79ca23034365f4c21f11f34357ad9e11e5

Observation 06f5f45d-2b2e-48fe-9c7a-49c3e4347aa1 · outbound

This paper cites A chiral aperiodic monotile.

Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre A chiral aperiodic monotile

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T00:38:16.624114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:38:16.624114Z digest=sha256:f0f542393d24c760ee26162ba48be32c507c63f359a50275238d6ac4cd4e5725

Observation f1352b6b-bae7-4030-a7fd-74ca9f046ab3 · outbound

This paper cites 270(1) (2025), 449–485; doi:10.1007/s11856-025- 2780-8; arXiv:2305.05639.

Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre 270(1) (2025), 449–485; doi:10.1007/s11856-025- 2780-8; arXiv:2305.05639

Reference 4

Resolution
malformed identifier
no resolver link, observed 2026-08-02T00:38:16.679336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:38:16.679336Z digest=sha256:72f95deb56f8e20d1443dcd1a5efc190459b5879378de8065f73f6bec058521a

Observation 8cd2860d-a93c-4956-9a8c-5186c919e0aa · outbound

This paper cites On the long-range order of the Spectre tilings.

Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre On the long-range order of the Spectre tilings

Reference 5

Resolution
malformed identifier
no resolver link, observed 2026-08-02T00:38:16.705406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:38:16.705406Z digest=sha256:922b4d2a1b07ed838575493ee193cfa7945bb73d0b089f4d912a00146fa4241b

Observation 2aaced77-48d9-4120-ace1-f93d15e46ae3 · outbound

This paper cites Baake, F.

Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre Baake, F

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T00:38:16.747235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:38:16.747235Z digest=sha256:ee67a334e8ab95410d1bf914bda37733fd1ab83007c6161773d824d8e6f60688

Observation 49e66bd0-1d53-4578-8b91-2eac54fd36a0 · outbound

This paper cites Schlottmann,Generalized model sets and dy- namical systems, inDirections in Mathematical Quasicrystals, eds.

Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre Schlottmann,Generalized model sets and dy- namical systems, inDirections in Mathematical Quasicrystals, eds

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T00:38:16.810719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:38:16.810719Z digest=sha256:7ebd2d68d7d6b0976fdd4447997e353575fdf45a931197b3834d86d800a7226e

Observation 2b045a1a-abd4-4b36-beb3-98c09b798e6c · outbound

This paper cites an unresolved cited work.

Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T00:38:16.883920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:38:16.883920Z digest=sha256:56f4aee7dc0fcf8bf0340c42e4aa6fe5c13152b1d85c1dcb217dd992966e7034

Observation 241ce328-9048-46c4-8d78-7853915071fe · outbound

This paper cites Solomyak,Nonperiodicity implies unique com- position for self-similar translationally finite tilings, Discrete Comput.

Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre Solomyak,Nonperiodicity implies unique com- position for self-similar translationally finite tilings, Discrete Comput

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T00:38:16.899646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:38:16.899646Z digest=sha256:8cd4756c8a805193b5aacc66800a6aa0dbc45dae0a2dbd279300e0b33fb966bb

Observation 95296787-65cb-46a6-9125-54d62d41a4b0 · outbound

This paper cites Solomyak,Dynamics of self-similar tilings, Ergodic Theory Dynam.

Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre Solomyak,Dynamics of self-similar tilings, Ergodic Theory Dynam

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T00:38:16.928436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:38:16.928436Z digest=sha256:950837e3aef2ce85ecf72a18c7fbc700989bf81551bdf860f29dba8f02522315

Observation 9351212f-5cda-4879-a650-24dd846c7ac0 · outbound

This paper cites Baake and U.

Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre Baake and U

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T00:38:16.957504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:38:16.957504Z digest=sha256:a641f1bcff8285ec852772b10db5d9d471704010eaa44a855f38adfe74b9fb4d

Observation 623c0714-e3b4-4ecd-b480-3c30198beaf7 · outbound

This paper cites Queffélec,Substitution Dynamical Systems — Spectral Analysis, 2nd ed., Lecture Notes in Math- ematics 1294, Springer (2010).

Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre Queffélec,Substitution Dynamical Systems — Spectral Analysis, 2nd ed., Lecture Notes in Math- ematics 1294, Springer (2010)

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T00:38:16.992849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T00:38:16.992849Z digest=sha256:c1725f7fd2d666553d5850408332bcf60615a946485c8eee139c25a45460aeef

Pith citing papers

No inbound Pith citation observations are available.