Paper Citation Record · LEDGER

Numerical Estimation of Spatial Distributions under Differential Privacy

As of 15 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2412.06541.

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pith.paper-citation-record.v1
2412.06541 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:40:22.994983Z

measured 37 of 37 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 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

37 of 37 outbound references displayed

verified exact0
verified fuzzy33
unresolved3
parse uncertain1
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f730b17b-0098-4229-9296-5267285ce3d6 · outbound

This paper cites Differential privacy,.

Numerical Estimation of Spatial Distributions under Differential Privacy Differential privacy,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.578047Z

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 732a0c7f-9fd6-4fb1-84d6-6c136007a666 · outbound

This paper cites Local, private, efficient protocols for succinct histograms,.

Numerical Estimation of Spatial Distributions under Differential Privacy Local, private, efficient protocols for succinct histograms,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.549413Z

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 bf0312c9-19a6-4c0b-8090-79eb01f365da · outbound

This paper cites Locally differentially private protocols for frequency estimation,.

Numerical Estimation of Spatial Distributions under Differential Privacy Locally differentially private protocols for frequency estimation,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.534752Z

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 3f70ed38-3ca3-46ec-8d90-b4ddc673c899 · outbound

This paper cites Minimax Optimal Procedures for Locally Private Estimation.

Numerical Estimation of Spatial Distributions under Differential Privacy Minimax Optimal Procedures for Locally Private Estimation

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T19:40:22.845971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f75e390-6f7f-4578-82c4-d3178e8bec74 · outbound

This paper cites Privtrie: Effective frequent term discovery under local differential privacy,.

Numerical Estimation of Spatial Distributions under Differential Privacy Privtrie: Effective frequent term discovery under local differential privacy,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.520367Z

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 6d2b2aa8-1594-4b16-9a51-492cb15e36e3 · outbound

This paper cites Estimating numerical distributions under local differential privacy,.

Numerical Estimation of Spatial Distributions under Differential Privacy Estimating numerical distributions under local differential privacy,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.505304Z

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 265b9e64-adf2-412c-a3d1-86163dd6f0aa · outbound

This paper cites Frequency estimation under local differential privacy,.

Numerical Estimation of Spatial Distributions under Differential Privacy Frequency estimation under local differential privacy,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.490192Z

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 2abb1fa3-3812-4d41-92c3-3ac6d4bcda16 · outbound

This paper cites AHEAD: adaptive hierarchical decomposition for range query under local differential privacy,.

Numerical Estimation of Spatial Distributions under Differential Privacy AHEAD: adaptive hierarchical decomposition for range query under local differential privacy,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.475125Z

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 3d3cddb9-6ad9-40c5-8756-d79b34ac5507 · outbound

This paper cites Answering multi-dimensional analytical queries under local differen- tial privacy,.

Numerical Estimation of Spatial Distributions under Differential Privacy Answering multi-dimensional analytical queries under local differen- tial privacy,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.460929Z

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 10755bea-6e69-4a17-bb11-0f2d1397e140 · outbound

This paper cites Answering multi- dimensional range queries under local differential privacy,.

Numerical Estimation of Spatial Distributions under Differential Privacy Answering multi- dimensional range queries under local differential privacy,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.446627Z

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 76aec36e-3e07-4dd5-898e-0476af5fae00 · outbound

This paper cites Privnud: Effective range query processing under local differential privacy,.

Numerical Estimation of Spatial Distributions under Differential Privacy Privnud: Effective range query processing under local differential privacy,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.432273Z

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 6c9f6301-71eb-44a8-855e-85a2363694b4 · outbound

This paper cites Local private ordinal data distribution estimation,.

Numerical Estimation of Spatial Distributions under Differential Privacy Local private ordinal data distribution estimation,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.417892Z

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 4009ce71-c0c2-494f-877a-e6983557f431 · outbound

This paper cites an unresolved cited work.

Numerical Estimation of Spatial Distributions under Differential Privacy Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:40:23.403446Z

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 3e55d5d4-1783-42e7-939b-7aec9b7a8a74 · outbound

This paper cites Statistical aspects of wasserstein distances,.

Numerical Estimation of Spatial Distributions under Differential Privacy Statistical aspects of wasserstein distances,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.388845Z

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 47b04a79-255c-4b9e-a6fb-e1462b3bf129 · outbound

This paper cites Helgason and S.

Numerical Estimation of Spatial Distributions under Differential Privacy Helgason and S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.373984Z

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 2a35994e-00c1-468c-be66-7955b3c435cf · outbound

This paper cites Gen- eralized sliced wasserstein distances,.

Numerical Estimation of Spatial Distributions under Differential Privacy Gen- eralized sliced wasserstein distances,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.358796Z

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 b3cdb227-c923-41db-8da2-f49a1bc61983 · outbound

This paper cites Protecting location privacy: optimal strategy against localiza- tion attacks,.

Numerical Estimation of Spatial Distributions under Differential Privacy Protecting location privacy: optimal strategy against localiza- tion attacks,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.344525Z

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 bd48d546-1ba2-45ce-8c70-2e8126bd6f05 · outbound

This paper cites Differentially private location protection for worker datasets in spatial crowdsourcing,.

Numerical Estimation of Spatial Distributions under Differential Privacy Differentially private location protection for worker datasets in spatial crowdsourcing,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.330127Z

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 dbb85f01-a4f5-4adb-a823-a3b8bf9c0e28 · outbound

This paper cites Providing input-discriminative protection for local differential privacy,.

Numerical Estimation of Spatial Distributions under Differential Privacy Providing input-discriminative protection for local differential privacy,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.315207Z

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 0ca3c4bc-8769-411e-9f3a-a13237ef6ebc · outbound

This paper cites Geo-indistinguishability: differential privacy for location-based sys- tems,.

Numerical Estimation of Spatial Distributions under Differential Privacy Geo-indistinguishability: differential privacy for location-based sys- tems,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.300349Z

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 2fa59c78-28e5-4753-ab86-bcb35d21f38d · outbound

This paper cites Dif- ferentially private spatial decompositions,.

Numerical Estimation of Spatial Distributions under Differential Privacy Dif- ferentially private spatial decompositions,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.284657Z

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 65ff7c3d-f9a0-4706-9f65-c7714d1be01c · outbound

This paper cites Priview: practical differentially private release of marginal contingency tables,.

Numerical Estimation of Spatial Distributions under Differential Privacy Priview: practical differentially private release of marginal contingency tables,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.270333Z

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 025f1a18-3c0f-455f-bc85-fc8da40d2e92 · outbound

This paper cites What can we learn privately?.

Numerical Estimation of Spatial Distributions under Differential Privacy What can we learn privately?

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.255859Z

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 7def5fb5-4971-40eb-aec3-adf63ff4b91e · outbound

This paper cites Local privacy and statistical minimax rates,.

Numerical Estimation of Spatial Distributions under Differential Privacy Local privacy and statistical minimax rates,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.241319Z

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 5de634cb-0b11-45af-9d82-a8d82cb034c5 · outbound

This paper cites Coordinates and coordinate systems,.

Numerical Estimation of Spatial Distributions under Differential Privacy Coordinates and coordinate systems,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.226181Z

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 1cc30579-dd8a-4e08-be40-eaba2707aaab · outbound

This paper cites Locally differentially private frequency estimation with consistency,.

Numerical Estimation of Spatial Distributions under Differential Privacy Locally differentially private frequency estimation with consistency,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.212188Z

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 a4cfa2fc-0f4c-496c-9688-d57b65d0c957 · outbound

This paper cites [online] Chicago Crimes 2022,.

Numerical Estimation of Spatial Distributions under Differential Privacy [online] Chicago Crimes 2022,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.196414Z

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 841027e8-ff23-4c6b-8a0c-2fcf8bd3bda5 · outbound

This paper cites [online] NYC Green Taxi Trip 2016,.

Numerical Estimation of Spatial Distributions under Differential Privacy [online] NYC Green Taxi Trip 2016,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.181638Z

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 a5881cd2-0b47-4014-a16c-32a6bbc178e8 · outbound

This paper cites Ldptrace: Locally differentially private trajectory synthesis,.

Numerical Estimation of Spatial Distributions under Differential Privacy Ldptrace: Locally differentially private trajectory synthesis,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.165809Z

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 c194c7fd-97bd-45b6-9ec5-69aa31e472da · outbound

This paper cites Trajectory data collection with local differential privacy,.

Numerical Estimation of Spatial Distributions under Differential Privacy Trajectory data collection with local differential privacy,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.149463Z

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 0228f568-250e-4378-9628-f62fd0d66ee0 · outbound

This paper cites Sinkhorn distances: Lightspeed computation of optimal transport,.

Numerical Estimation of Spatial Distributions under Differential Privacy Sinkhorn distances: Lightspeed computation of optimal transport,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.132518Z

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 c38f2b2f-0a77-4c1c-8547-fa3e7dcd6edf · outbound

This paper cites Let S ˆD be the area size of ˆD.

Numerical Estimation of Spatial Distributions under Differential Privacy Let S ˆD be the area size of ˆD

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.098771Z

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 66cdefb8-9b63-4712-8c18-79e9824c55dc · outbound

This paper cites Notice that given any an positive integer ˆb, each horizontal line in Sˆb,(0, π 4 ) contains and only contains one cell in SO ˆb.

Numerical Estimation of Spatial Distributions under Differential Privacy Notice that given any an positive integer ˆb, each horizontal line in Sˆb,(0, π 4 ) contains and only contains one cell in SO ˆb

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.083255Z

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 4fd4f2a2-130b-47a6-ba5a-8b469909c874 · outbound

This paper cites When ˆb < r, the high probability circle border will intersect the bottom boundary of V , and Hˆb,(0, π 4 ) = Hˆb, π 4 − 1.

Numerical Estimation of Spatial Distributions under Differential Privacy When ˆb < r, the high probability circle border will intersect the bottom boundary of V , and Hˆb,(0, π 4 ) = Hˆb, π 4 − 1

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.066825Z

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 0ec26ab1-3a66-43a0-8f33-03aa588b8c7c · outbound

This paper cites According to the definition of Sˆb,(0, π 4 ), SI ˆb and SO ˆb , we have |SI ˆb | = |Sˆb,(0, π 4 )| − |SO ˆb |.

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:40:23.049970Z

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 88f75590-84f9-4518-8cce-29a086a608a6 · outbound

This paper cites an unresolved cited work.

Numerical Estimation of Spatial Distributions under Differential Privacy Unresolved cited work

Reference 2013

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:40:23.114117Z

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 45053ede-329b-4a58-95dd-9680646d5c16 · outbound

This paper cites an unresolved cited work.

Numerical Estimation of Spatial Distributions under Differential Privacy Unresolved cited work

Reference 4052

Resolution: parse uncertain; raw_fallback, observed 2026-08-11T19:40:23.564050Z

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.

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