Pith. sign in

Paper Citation Record · LEDGER

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2505.23682.

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

pith.paper-citation-record.v1
2505.23682 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:58:08.486886Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved8
  • parse uncertain2
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a11722e3-68f2-454d-b262-112dbc83bbe3 · outbound

This paper cites an unresolved cited work.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:58:11.613105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:07.184209Z digest=sha256:02d08274b3b9896b8586efc189a64dfea6ec35319004ce92621a1f616aa8f00e

Observation c23f88a1-c3dc-474a-9863-d856becf9e93 · outbound

This paper cites Lemma 5 (Chernoff Bound of Gaussian Random Variable).

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model Lemma 5 (Chernoff Bound of Gaussian Random Variable)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:58:11.474129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:07.254610Z digest=sha256:be682807c1ab65affb2643d7a22066aca94ffdca79d350608384bd2d48abacf2

Observation 41615e35-98a8-465b-ab2a-f777cbcd4415 · outbound

This paper cites an unresolved cited work.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model Unresolved cited work

Reference 3

Resolution
parse uncertain
raw_fallback, observed 2026-08-07T12:58:11.312667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:07.346393Z digest=sha256:b8e7fd6fb7daecc3740cdf777bb7f8fc5e9739e691417c60a5e49f43d5bcc841

Observation 2c5f7fe5-3335-406f-8e2e-4900618e35e7 · outbound

This paper cites an unresolved cited work.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:58:11.117385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:07.429374Z digest=sha256:5fbc5841f4156fcaaf0e2dfa32f3ba92c2e67a1af102427f6609ae0533ac9d76

Observation 95bcdfa3-2e24-4144-9f74-aead1f2d492c · outbound

This paper cites 25 B Additional details on KSET We describe the TESTSINGLETON data structure (Algorithm 6) which is a building block of the KSET data structure in more detail.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model 25 B Additional details on KSET We describe the TESTSINGLETON data structure (Algorithm 6) which is a building block of the KSET data structure in more detail

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:58:10.936612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:07.536951Z digest=sha256:15517cf199f9fe436911f04b4d6f3993ded02f6cbc144ad285575b711cfee4b7

Observation 5927cd7f-07ec-494c-bae2-acc28a193045 · outbound

This paper cites an unresolved cited work.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:58:10.701656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:07.600896Z digest=sha256:eac69f2f17cabf8b1280855caa8b9b710710952e4695546233682ae46d6c0400

Observation e9525440-045f-4254-877a-f527bab49227 · outbound

This paper cites an unresolved cited work.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:58:10.474304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:07.666414Z digest=sha256:c450796d7081c1d4071adb6f9d7842f551bdb131b685216e34339bad1db6f0f9

Observation ed2d2ac2-9a0d-4826-bb4d-f61944da60da · outbound

This paper cites an unresolved cited work.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model Unresolved cited work

Reference 8

Resolution
parse uncertain
raw_fallback, observed 2026-08-07T12:58:10.289814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:07.754362Z digest=sha256:c1e91ef2e31d3747dfe59146fdf27672173c3f57c7b1f4517513b2120a8a5669

Observation c07bfdb8-bf28-422d-8809-34034df8c36a · outbound

This paper cites an unresolved cited work.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:58:10.163945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:07.815067Z digest=sha256:9ea8d05ed258fdb1da66c1e65194beca8a2fb81318998384c576a9a9730fe426

Observation 0da5abcb-c209-4189-9a8a-1e268393cdbe · outbound

This paper cites That is, for all i ∈ [L], we have |Fi(t) − ˆsi(t)| ≤γ = q 4(W +1)(log T +1)3 log(10(log T +1)/β) ρ with probability 1 − β/5.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model That is, for all i ∈ [L], we have |Fi(t) − ˆsi(t)| ≤γ = q 4(W +1)(log T +1)3 log(10(log T +1)/β) ρ with probability 1 − β/5

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:58:09.784406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:07.935533Z digest=sha256:9a70c5b55b65f7fe6912ad5f6be365dff58aabc5f0c9dd118ba7b0ce60383756

Observation c24233e4-d0eb-4aea-89a6-844369707f80 · outbound

This paper cites Plug- ging in β/5L into Lemma 6 yields that if Fi(t) ≤ 16 max{γ/η, 32λ/η2}, then COUNTING- DICTi will not output TOO-HIGH, i.e.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model Plug- ging in β/5L into Lemma 6 yields that if Fi(t) ≤ 16 max{γ/η, 32λ/η2}, then COUNTING- DICTi will not output TOO-HIGH, i.e

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:58:09.564221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:08.010299Z digest=sha256:3a6732232e360cb19a47b7d2854ef8f29ce2d54b1969320873a44d5de46ae80b

Observation 43c090e2-f674-4396-b8a7-3dc3668ce80c · outbound

This paper cites an unresolved cited work.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:58:09.976613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:08.092227Z digest=sha256:46be8c19a96e752f2c003b4d43ea4095b523037017e1c412017ad8b386b6c7ab

Observation 777fe027-068d-4734-96f3-e009819eaaa6 · outbound

This paper cites That is, for all i ∈ [L], we have |Fi(t) − ˆsi(t)| ≤γ = q 4(W +1)(log T +1)3 log(10(log T +1)/β) ρ with probability at least 1 − β/5.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model That is, for all i ∈ [L], we have |Fi(t) − ˆsi(t)| ≤γ = q 4(W +1)(log T +1)3 log(10(log T +1)/β) ρ with probability at least 1 − β/5

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:58:09.371606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:08.180402Z digest=sha256:307d2d65643f1fb46c7e4db1c620de302c68a9ffff1d68476cbc9612c92ddb55

Observation b2b7b83e-59d9-4a2b-9b6c-4964c21a3b20 · outbound

This paper cites We plug β/5L into Lemma 6 to obtain that, if Fi(t) ≤ 16 max{γ/η, 32λ/η2}, then COUNTING- DICTi will not output TOO-HIGH, i.e.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model We plug β/5L into Lemma 6 to obtain that, if Fi(t) ≤ 16 max{γ/η, 32λ/η2}, then COUNTING- DICTi will not output TOO-HIGH, i.e

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:58:09.180532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:08.229874Z digest=sha256:05cce3bd88fa8b6de2be46352ee00dba6060385dfc73d2392a7020101d82dfd3

Observation 8a6fcf2c-b66f-45a0-8cfe-257722b492d4 · outbound

This paper cites With probability at least 1 − β/5, the size of the blocklist is bounded by 3 T 1/3 log(T 1/3⌈log T ⌉/β).

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model With probability at least 1 − β/5, the size of the blocklist is bounded by 3 T 1/3 log(T 1/3⌈log T ⌉/β)

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:58:08.967436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:08.309189Z digest=sha256:b14d13a06e33a286e1acef95cb37681d7dd436530a035f557745ca59eaaf0c1f

Observation 7c3ff5bd-3002-484c-897e-5c7aed53be9b · outbound

This paper cites an unresolved cited work.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:58:08.801142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:08.419172Z digest=sha256:838c1b06cf7fb6d29bb84b1a94815e87a98df5c6e79d787ef6a68f5c7a79231d

Observation 3e2e897b-6da5-4122-844a-68e67cc6ef81 · outbound

This paper cites an unresolved cited work.

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:58:08.651397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:58:08.486886Z digest=sha256:8e86b026dfe05fae1828a0da6b7450962b9483d8964a5d500d55ae3c8eacd2bd

Pith citing papers

No inbound Pith citation observations are available.