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Paper Citation Record · LEDGER

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

As of 17 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:07.184209Z digest=sha256:494cad773b07adb964dac23b8cfdd4f0c9e59407fd893e7a1d7056aeed9b331a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:07.254610Z digest=sha256:16ac10311065124d474f5005184a26ef7c09d6471d6efcbc1ffdfb9b58b8810c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:07.346393Z digest=sha256:4b68d24df9462560d97e2b6fdc83c91d6052b0942b4299ce84a9a16b42be4b69

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:07.429374Z digest=sha256:6fad0093596b7a27d009f795d8c501f23e64961cf8230ef5aa8ebfe6a0641d9a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:07.536951Z digest=sha256:c413945de56a806543bac31c5236606b218bd269c6c838ea21e397e722acc7f1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:07.600896Z digest=sha256:9bebf251f44f8e033e6a5af6248a7111c4af724420e54fd4ce2eb307012c476d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:07.666414Z digest=sha256:9625f38e4fb1b211a5b4f00e4327b0b99b2f800cc840d0305b2588b19a97a7b4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:07.754362Z digest=sha256:fc46013db0a2f2f0451ff647f9534b59fdca94eed50e6d27e58c11b0434827b7

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:07.815067Z digest=sha256:d5b22932583822a92b8551c6091aae0f375b48d7d777c36184688e64eeac18ce

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:07.935533Z digest=sha256:942147eb0019d3fce3a2327619d0a883c635159da46660729234000d6090c75a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:08.010299Z digest=sha256:56c1da1e43e6dcc2dc2dcd58222f88f2f8bc76b0a8e0a180030d2e6950e71757

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:08.092227Z digest=sha256:083d4ba3c7c083bed86a9ed8b9ef57394fafcaa66a05dff8bb1fc793788986ea

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:08.180402Z digest=sha256:8e92d7aaee56fdf3bc9f3a6e113e042b34ca065bbf9c8a3e96438e4b5ab86cc7

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:08.229874Z digest=sha256:eba1d14a2e824a81b6185456dedd47a35cab3b847e24e388893e94b8d4191214

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:08.309189Z digest=sha256:58ed3c683b6d38778c92c226beb61eaa769c0a828e041cd6db72827ded1f8bd2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:08.419172Z digest=sha256:fec8a7c2cae84f4d1be0123306c956394517e2bc8442a74db89449c56e93caef

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T12:58:08.486886Z digest=sha256:1ec3dff796b366551317edee0a818a9b9ce3d53a0f98227d6999c0a4e7913cb4

Pith citing papers

No inbound Pith citation observations are available.