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Paper Citation Record · LEDGER

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian

As of 17 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.11147.

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

pith.paper-citation-record.v1
1908.11147 v3

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:40:49.073366Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

24 of 24 outbound references displayed

  • verified exact2
  • verified fuzzy18
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 666d5cd2-c6e2-4ba6-bb9e-043845706ac8 · outbound

This paper cites Aichinger, C.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Aichinger, C

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.497710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:48.953610Z digest=sha256:44eb05219cb36282d7fae842a8bfb4b3964ceb37cd7c4c7bb7d4ad018af96927

Observation b310ed94-fffe-48d1-b878-47bb4c5eb442 · outbound

This paper cites Aisleitner, T.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Aisleitner, T

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.481553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation cfb05a2e-c6d1-4dae-99d5-ada30c037db5 · outbound

This paper cites Dick and F.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Dick and F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.466881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation a2b0c08b-89c0-4930-9c97-178b133c5e70 · outbound

This paper cites Faure and S.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Faure and S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.451831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:48.969466Z digest=sha256:b2102d715cfe504cc11b2c1ba15dbfd075104a064422c5e5b35caf423279aab6

Observation 981d7785-1d81-4fd3-8a4c-cbe0a2f14a4d · outbound

This paper cites Grepstad and G.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Grepstad and G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.436620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:48.974748Z digest=sha256:77d19530a4b7b07e3827cda5642a2b86d3e66103932c16bc8deacf2e97c266d9

Observation 13e2811e-11b4-4da2-a17b-4b00f2373c61 · outbound

This paper cites an unresolved cited work.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:40:49.419753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:48.979552Z digest=sha256:cc3757687f62c31a5297cabc102f799de88397065d2c1a7ff7f4affab1761b07

Observation c79ed96e-cfdf-4ad3-8442-a207e8007e61 · outbound

This paper cites Hinrichs, L.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Hinrichs, L

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.401460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:48.985036Z digest=sha256:ce4a32f4b2e47eab96d9ea8aa1832cd54d7afb250ad06b39de385239b2cd19db

Observation afc7ed68-0dda-4a44-a06a-1aee7f167f28 · outbound

This paper cites Hofer, A construction of low-discrepancy sequences i nvolving finite-row digital (t, s )-sequences, Monatshefte für Mathematik , 171(1):77-89, 2013.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Hofer, A construction of low-discrepancy sequences i nvolving finite-row digital (t, s )-sequences, Monatshefte für Mathematik , 171(1):77-89, 2013

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.383810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:48.991634Z digest=sha256:7ee222238527754e0a3ff46dd7bac72c5aa9a14d319b7da08d18645678df5dbd

Observation 157662f5-f18d-45f9-aa5b-f52fe0731a29 · outbound

This paper cites Hofer and H.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Hofer and H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.367300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:48.996470Z digest=sha256:ab9c61882f09025aaebdc49745f5e7a0fb9b5b1d15033e4a2db1d0a57d0f0653

Observation aea1efe1-96b1-48e8-8301-c358b4e199f1 · outbound

This paper cites Hofer and G.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Hofer and G

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.352526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation a84ec41d-f892-481f-8f21-5194b748d65a · outbound

This paper cites On Pair Correlation of Sequences.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian On Pair Correlation of Sequences

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:40:49.144657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 62f9c3d7-f962-48e1-a3e9-9e9d30cf87f2 · outbound

This paper cites Some negative results related to Poissonian pair correlation problems.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Some negative results related to Poissonian pair correlation problems

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:40:49.120501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:49.013438Z digest=sha256:4433df8db3eeb5b78a710d4281c10e4165694b35da01300bf0c744291becabf9

Observation f2850aa2-480a-4eb5-8d5c-671f1d141aae · outbound

This paper cites an unresolved cited work.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:40:49.336551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:49.019179Z digest=sha256:7364321aa24705f2936e308de5b82330a9435d1ede665bde031b8f67c1216848

Observation aa885d9b-459b-47e9-ba68-f5fa37a6d67e · outbound

This paper cites Minkowski, Geometrie der Zahlen , Chelsea Publishing Company, reprint 1953.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Minkowski, Geometrie der Zahlen , Chelsea Publishing Company, reprint 1953

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.320206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:49.024240Z digest=sha256:dce86a1539f4a83246794a2740198b5ed9fc0030aee9801b630c606651bb9687

Observation ecd2400c-15cb-4755-a237-a163fc4202e7 · outbound

This paper cites Niederreiter, Low-discrepancy and low-dispersion sequences, Journal of Num- ber Theory, 30(1):51-70, 1988.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Niederreiter, Low-discrepancy and low-dispersion sequences, Journal of Num- ber Theory, 30(1):51-70, 1988

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.303594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:49.029622Z digest=sha256:9ae841c8b5bd630c50f78c91aab9cd8cfe4fc397146b748736cb96b8e55d1d28

Observation a4c09911-4d54-4681-a58c-e9954757229c · outbound

This paper cites Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods , SIAM, Philadelphia, 1992.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods , SIAM, Philadelphia, 1992

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.287192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:49.035178Z digest=sha256:51797c308a92f5695191d77bb6fec7bd62443e7ddab9a99dcc4c433e5cd4531a

Observation 32301d98-ba3d-4ad2-a16a-7afd75a3792c · outbound

This paper cites Marklof, Pair correlations and equidistribution on manifolds, Monatshefte für Mathematik, 2019.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Marklof, Pair correlations and equidistribution on manifolds, Monatshefte für Mathematik, 2019

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.270893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:49.039667Z digest=sha256:c9216747411d2eb9e509ff86d77f273283e0769febc75271c662a82a75a33672

Observation 6d4b8715-aa4c-49b2-9d77-e525e25ad594 · outbound

This paper cites Pillichshammer, On the discrepancy of (0 , 1)-sequences, Journal of Number Theory, 104(2):301-314, 2004 17.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Pillichshammer, On the discrepancy of (0 , 1)-sequences, Journal of Number Theory, 104(2):301-314, 2004 17

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.256034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:49.044130Z digest=sha256:15583cf6dbb8140afc166f49751763c8e4072ea714a59f48f51b663339d59327

Observation cb24e0b1-cced-44cf-854d-ce5397878436 · outbound

This paper cites Steinerberger, Localized quantitative criteria fo r equidistribution, Acta Arith- metica, 180:183-199, 2017.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Steinerberger, Localized quantitative criteria fo r equidistribution, Acta Arith- metica, 180:183-199, 2017

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.240267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:49.048554Z digest=sha256:3f992570c0abe53a4b7e1007cbd88e34277b8c8ba1012c58816ccf25879992ca

Observation 1f8ccde0-a160-4fbb-b8f8-fd2cc665b21b · outbound

This paper cites Steinerberger, Poissonian pair correlation in high er dimensions, Journal of Number Theory, 2019.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Steinerberger, Poissonian pair correlation in high er dimensions, Journal of Number Theory, 2019

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.223766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:49.053434Z digest=sha256:ad020e365144962065b46c498ce838a3b3684d163f50add49a225df75f1bbb06

Observation 86611478-b484-4faf-9925-2dce6f0b8250 · outbound

This paper cites Tezuka, On the discrepancy of generalized Niederrei ter sequences, Journal of Complexity, 29(3):240-247, 2013.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Tezuka, On the discrepancy of generalized Niederrei ter sequences, Journal of Complexity, 29(3):240-247, 2013

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.207531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:49.058708Z digest=sha256:54a0161ad02448ec30db8c32bcc3e0205ed0e22950ff24d8a05e09e1b7c19226

Observation 1e46f193-52e3-4e95-93f9-27b282ee54a9 · outbound

This paper cites Tezuka, Polynomial Arithmetic Analogue of Halton Se quencesm ACM Trans- actions on Modeling and Computer Simulation , 3:99-107, 1993.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Tezuka, Polynomial Arithmetic Analogue of Halton Se quencesm ACM Trans- actions on Modeling and Computer Simulation , 3:99-107, 1993

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:40:49.191113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:49.063717Z digest=sha256:a6402eb8a05da6e91dd78c865eb5862b1f818c7855a4ed10e4df4f2ef5f09463

Observation 77ed6c76-a2df-4678-8e02-71a1bbad4628 · outbound

This paper cites an unresolved cited work.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:40:49.175663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:49.068618Z digest=sha256:fbceb843015c968520ddd53aa40ba4516376da17e30c06c5febfa9fb8ce6418d

Observation 12b24f5e-c813-4bab-9091-2aaf1efe988a · outbound

This paper cites an unresolved cited work.

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:40:49.160263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:40:49.073366Z digest=sha256:4c3a6d3a6207ecc024f1ba455f9931c99bda849453b0ba7ad5e9ff3c8a8c89ce

Pith citing papers

No inbound Pith citation observations are available.