Paper Citation Record · LEDGER

Pure point measures with sparse support and sparse Fourier--Bohr support

As of 16 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:1908.00579.

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

pith.paper-citation-record.v1
1908.00579 v2

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:58:19.065464Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-25T02:32:28.149746Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-25T02:35:14.622781Z

Reference resolution

47 of 47 outbound references displayed

verified exact15
verified fuzzy24
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7dbaea15-edee-4a2d-a55c-e9a81f457f4e · outbound

This paper cites Argabright and J.

Pure point measures with sparse support and sparse Fourier--Bohr support Argabright and J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.411162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9bde9085-dbbb-47cb-a395-938a56f61c09 · outbound

This paper cites Baake and U.

Pure point measures with sparse support and sparse Fourier--Bohr support Baake and U

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.393748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2a8a0e18-fc55-41e9-a71e-36851d1b8d2e · outbound

This paper cites Baake and U.

Pure point measures with sparse support and sparse Fourier--Bohr support Baake and U

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.378157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a8a77f5f-7dbf-4d29-bbd5-c9efa658c946 · outbound

This paper cites On weak model sets of extremal density.

Pure point measures with sparse support and sparse Fourier--Bohr support On weak model sets of extremal density

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:58:20.094575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 45ed6a2c-568e-42ea-9901-0fcf080a3155 · outbound

This paper cites Characterizations of model sets by dynamical systems.

Pure point measures with sparse support and sparse Fourier--Bohr support Characterizations of model sets by dynamical systems

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T15:58:18.532000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c12b33c7-cc81-4502-83dc-8eb6516246cb · outbound

This paper cites Baake and R.V.

Pure point measures with sparse support and sparse Fourier--Bohr support Baake and R.V

Reference 6

Resolution: verified exact; raw_fallback, observed 2026-08-14T15:58:20.064744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 89b449dc-2c61-4037-abbc-50d420c5b8b5 · outbound

This paper cites Berg and G.

Pure point measures with sparse support and sparse Fourier--Bohr support Berg and G

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.365037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 26e6ed01-0011-460a-ad19-2dd5b97c7326 · outbound

This paper cites C´ ordoba, Dirac combs, Lett.

Pure point measures with sparse support and sparse Fourier--Bohr support C´ ordoba, Dirac combs, Lett

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.352240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b4da236b-d3d5-4230-b0c6-c1001eed935a · outbound

This paper cites Tilings of amenable groups.

Pure point measures with sparse support and sparse Fourier--Bohr support Tilings of amenable groups

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:58:19.979981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 48e33f07-e97c-4464-a2df-331a8435b74c · outbound

This paper cites Tempered distributions with discrete support and spectrum.

Pure point measures with sparse support and sparse Fourier--Bohr support Tempered distributions with discrete support and spectrum

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:58:19.958696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 005afc77-c0b9-43f8-9d27-a3d1365f133b · outbound

This paper cites Gel’fand and G.E.

Pure point measures with sparse support and sparse Fourier--Bohr support Gel’fand and G.E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.340739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a32ef2a5-2bb7-40e7-b76f-1a4cd059f153 · outbound

This paper cites Gil de Lamadrid and L.N.

Pure point measures with sparse support and sparse Fourier--Bohr support Gil de Lamadrid and L.N

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.329028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7f9eda11-c925-4414-b27a-828133181774 · outbound

This paper cites Hewitt and K.A.

Pure point measures with sparse support and sparse Fourier--Bohr support Hewitt and K.A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.316521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 911a9974-d450-407e-b8d1-6f2ffa3d5be8 · outbound

This paper cites Hogan, A qualitative uncertainty principle for locally compact Abelian groups, in Minicon- ference on Harmonic Analysis and Operator Algebras , eds.

Pure point measures with sparse support and sparse Fourier--Bohr support Hogan, A qualitative uncertainty principle for locally compact Abelian groups, in Minicon- ference on Harmonic Analysis and Operator Algebras , eds

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.304620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a5fb709b-d869-485a-a054-ef9ff1d8cadb · outbound

This paper cites On pattern entropy of weak model sets.

Pure point measures with sparse support and sparse Fourier--Bohr support On pattern entropy of weak model sets

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:58:19.937531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation aa9edca3-dd0e-4d4e-ba1a-877e0ede8f40 · outbound

This paper cites Equicontinuous delone dynamical systems.

Pure point measures with sparse support and sparse Fourier--Bohr support Equicontinuous delone dynamical systems

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:58:19.897140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4f4abd7f-2492-43a7-9570-29b99c2acb5a · outbound

This paper cites Periods and factors of weak model sets.

Pure point measures with sparse support and sparse Fourier--Bohr support Periods and factors of weak model sets

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:58:19.865559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 86837e0c-ca40-487b-9613-85de8a099390 · outbound

This paper cites Dynamics on the graph of the torus parametrisation.

Pure point measures with sparse support and sparse Fourier--Bohr support Dynamics on the graph of the torus parametrisation

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:58:19.845397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3af907b5-e2e6-4216-aff9-fce1bd8b8fb5 · outbound

This paper cites Lagarias, Meyer’s concept of quasicrystal and quasiregu lar sets, Commun.

Pure point measures with sparse support and sparse Fourier--Bohr support Lagarias, Meyer’s concept of quasicrystal and quasiregu lar sets, Commun

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.292348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d7da8b1d-e563-4247-a9fe-bb8adc3ace2f · outbound

This paper cites Lagarias, Geometric models for quasicrystals I.

Pure point measures with sparse support and sparse Fourier--Bohr support Lagarias, Geometric models for quasicrystals I

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.280159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a403ac1c-0029-4e6e-91ef-25e4774ca6e9 · outbound

This paper cites Lagarias, Mathematical quasicrystals and the problem of d iﬀraction, in Directions in Math- ematical Quasicrystals , eds.

Pure point measures with sparse support and sparse Fourier--Bohr support Lagarias, Mathematical quasicrystals and the problem of d iﬀraction, in Directions in Math- ematical Quasicrystals , eds

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.264907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2c64d4ce-8f22-4024-892f-21a9185b7246 · outbound

This paper cites Lenz and C.

Pure point measures with sparse support and sparse Fourier--Bohr support Lenz and C

Reference 22

Resolution: verified exact; raw_fallback, observed 2026-08-14T15:58:19.817248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 376924f6-9352-42d9-b98f-96ca3dedd4c7 · outbound

This paper cites Note on the set of Bragg peaks with high intensity.

Pure point measures with sparse support and sparse Fourier--Bohr support Note on the set of Bragg peaks with high intensity

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:58:19.699115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f07936cd-1683-43e1-9b74-a2ef65b6e167 · outbound

This paper cites On Weakly Almost Periodic Measures.

Pure point measures with sparse support and sparse Fourier--Bohr support On Weakly Almost Periodic Measures

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-14T15:58:18.731502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9ff6af9-8619-40c0-ba7a-ef50f5f63e85 · outbound

This paper cites Quasicrystals and Poisson's summation formula.

Pure point measures with sparse support and sparse Fourier--Bohr support Quasicrystals and Poisson's summation formula

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-14T15:58:18.744591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5479fa59-37e1-43f5-a409-acdb57aaffcc · outbound

This paper cites Fourier quasicrystals and discreteness of the diffraction spectrum.

Pure point measures with sparse support and sparse Fourier--Bohr support Fourier quasicrystals and discreteness of the diffraction spectrum

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T15:58:18.769731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1bee85f7-9cc6-4e3c-9fa0-aaab333ce805 · outbound

This paper cites Meyer, Algebraic Numbers and Harmonic Analysis , North Holland, Amsterdam (1972).

Pure point measures with sparse support and sparse Fourier--Bohr support Meyer, Algebraic Numbers and Harmonic Analysis , North Holland, Amsterdam (1972)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.252966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a3fad719-f66c-4e12-adc9-59883b2eebc1 · outbound

This paper cites Meyer, Quasicrystals, Diophantine approximation and algebr aic numbers, in Beyond Qua- sicrystals, eds.

Pure point measures with sparse support and sparse Fourier--Bohr support Meyer, Quasicrystals, Diophantine approximation and algebr aic numbers, in Beyond Qua- sicrystals, eds

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.242037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 606ce401-209e-4a00-a887-9fa83c337cff · outbound

This paper cites Meyer, Measures with locally ﬁnite support and spectrum, PNAS 113 (2016) 3152–3158.

Pure point measures with sparse support and sparse Fourier--Bohr support Meyer, Measures with locally ﬁnite support and spectrum, PNAS 113 (2016) 3152–3158

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.230434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation aaed466e-25a9-49ba-9bb8-87310b7a1098 · outbound

This paper cites The Zero Set of a Real Analytic Function.

Pure point measures with sparse support and sparse Fourier--Bohr support The Zero Set of a Real Analytic Function

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-14T15:58:18.832851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1be50050-79e9-4cdf-9f94-a042711b6c39 · outbound

This paper cites Moody, Meyer sets and their duals, in The Mathematics of Long-Range Aperiodic Order , ed.

Pure point measures with sparse support and sparse Fourier--Bohr support Moody, Meyer sets and their duals, in The Mathematics of Long-Range Aperiodic Order , ed

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.218246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f8e58f47-31c8-48ca-af83-10695494646f · outbound

This paper cites Model sets: a survey.

Pure point measures with sparse support and sparse Fourier--Bohr support Model sets: a survey

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:58:19.570443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 47717e3e-3c4c-404c-a089-3c364d795c9b · outbound

This paper cites Moody and N.

Pure point measures with sparse support and sparse Fourier--Bohr support Moody and N

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.207097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 17714f46-8c81-400e-bc64-82225a0b9aeb · outbound

This paper cites Osborne, On the Schwartz–Bruhat space and the Paley–W iener theorem for locally compact abelian groups, J.

Pure point measures with sparse support and sparse Fourier--Bohr support Osborne, On the Schwartz–Bruhat space and the Paley–W iener theorem for locally compact abelian groups, J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.194625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d3d181c3-5047-4e6d-a5e0-6539762a744f · outbound

This paper cites Reiter and J.D.

Pure point measures with sparse support and sparse Fourier--Bohr support Reiter and J.D

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.180915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e1f2ecf3-06f0-43dc-8209-f7e506436200 · outbound

This paper cites Dense Dirac combs in Euclidean space with pure point diffraction.

Pure point measures with sparse support and sparse Fourier--Bohr support Dense Dirac combs in Euclidean space with pure point diffraction

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-14T15:58:18.860330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0ebdf27-1163-4314-a174-994bf29810a8 · outbound

This paper cites Pure point diffraction and Poisson summation.

Pure point measures with sparse support and sparse Fourier--Bohr support Pure point diffraction and Poisson summation

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-14T15:58:18.869000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b857e8bf-27ae-4214-83d8-9c52474e1a6b · outbound

This paper cites Rudin, Fourier Analysis on Groups , Wiley, New York (1962).

Pure point measures with sparse support and sparse Fourier--Bohr support Rudin, Fourier Analysis on Groups , Wiley, New York (1962)

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.165939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 157c0bde-6e61-493f-8899-74d2a8b122b3 · outbound

This paper cites Schlottmann, Cut-and-project sets in locally compact Abelia n groups, in Quasicrystals and Discrete Geometry , ed.

Pure point measures with sparse support and sparse Fourier--Bohr support Schlottmann, Cut-and-project sets in locally compact Abelia n groups, in Quasicrystals and Discrete Geometry , ed

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.152481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b5c5fedc-de7e-417b-94a7-53686aaaa39a · outbound

This paper cites Schlottmann, Generalized model sets and dynamical system s, in Directions in Mathematical Quasicrystals, eds.

Pure point measures with sparse support and sparse Fourier--Bohr support Schlottmann, Generalized model sets and dynamical system s, in Directions in Mathematical Quasicrystals, eds

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.139492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8633bf2e-8407-4f5c-aa06-47e3b7fbea33 · outbound

This paper cites Schreiber, Approximations diophantiennes et probl` eme s additifs dans les groupes ab´ eliens localement compacts, Bull.

Pure point measures with sparse support and sparse Fourier--Bohr support Schreiber, Approximations diophantiennes et probl` eme s additifs dans les groupes ab´ eliens localement compacts, Bull

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.124638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 471b0253-c525-4802-aa96-fcf016690049 · outbound

This paper cites On Weighted Dirac Combs Supported Inside Model Sets.

Pure point measures with sparse support and sparse Fourier--Bohr support On Weighted Dirac Combs Supported Inside Model Sets

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:58:19.285744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 23bbaa92-f517-40bd-aa7b-8cacd8d437f4 · outbound

This paper cites Almost Periodic Measures and Meyer Sets.

Pure point measures with sparse support and sparse Fourier--Bohr support Almost Periodic Measures and Meyer Sets

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:58:19.226265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a66440bd-d44d-457c-8d07-fcaecdd82621 · outbound

This paper cites On the Fourier Transformability of Strongly Almost Periodic Measures.

Pure point measures with sparse support and sparse Fourier--Bohr support On the Fourier Transformability of Strongly Almost Periodic Measures

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:58:19.186274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5c58f456-1f57-485c-9978-cad5b9e702a3 · outbound

This paper cites On the Fourier Analysis of Measures with Meyer Set Support.

Pure point measures with sparse support and sparse Fourier--Bohr support On the Fourier Analysis of Measures with Meyer Set Support

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:58:19.146698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4e998e8f-c9eb-49c4-b5be-21ee274549b9 · outbound

This paper cites Diffraction theory and almost periodic distributions.

Pure point measures with sparse support and sparse Fourier--Bohr support Diffraction theory and almost periodic distributions

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-14T15:58:19.037934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55286b44-e8e5-4973-ac38-c4eb1fc61bec · outbound

This paper cites Yoshida, Functional Analysis, 6th ed., Springer, Berlin (1980).

Pure point measures with sparse support and sparse Fourier--Bohr support Yoshida, Functional Analysis, 6th ed., Springer, Berlin (1980)

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:58:20.108914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 8de8af43-9760-4038-ae86-6bf090c89ab2 · inbound

On almost periodicity in crystalline measures cites this paper.

On almost periodicity in crystalline measures Pure point measures with sparse support and sparse Fourier--Bohr support

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-25T02:35:14.625961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.