Paper Citation Record · LEDGER

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem

As of 17 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2412.04967.

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

pith.paper-citation-record.v1
2412.04967 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:17:37.231134Z

measured 29 of 29 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

29 of 29 outbound references displayed

verified exact2
verified fuzzy26
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ff0d6d0c-2a17-4bf9-b415-47d772a54c60 · outbound

This paper cites Speeding up discrete log and factoring based schemes via precomputat ions.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Speeding up discrete log and factoring based schemes via precomputat ions

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:38.904768Z

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.

Observation 19d0c186-ccb9-4f15-a10b-77e208d75b0d · outbound

This paper cites Nonneg- ative integral subset representations of integer sets.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Nonneg- ative integral subset representations of integer sets

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:38.804756Z

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.

Observation 31060852-2607-43e0-8526-27fbee858ba1 · outbound

This paper cites On the privacy of federated clu stering: A cryp- tographic view.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem On the privacy of federated clu stering: A cryp- tographic view

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:38.753417Z

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.

Observation 26c7caa6-a3f1-47c2-9c4f-2c93003b237c · outbound

This paper cites Perfect Gradient Inversion in Federated Learning: A New Paradigm from the Hidden Subset Sum Problem.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Perfect Gradient Inversion in Federated Learning: A New Paradigm from the Hidden Subset Sum Problem

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-11T21:17:37.337279Z

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.

Observation 4a878ef7-aec9-4c8c-9efc-532d87557b9e · outbound

This paper cites Chan nel allocation revisited through 1-extendability of graphs.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Chan nel allocation revisited through 1-extendability of graphs

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:38.644755Z

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.

Observation 3a8bb2de-00e0-403c-89d9-0794749974ba · outbound

This paper cites Is the multiset of n integers uniquely det ermined by the multiset of its s-sums? The American Mathematical Monthly , 126(5):400– 417, 2019.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Is the multiset of n integers uniquely det ermined by the multiset of its s-sums? The American Mathematical Monthly , 126(5):400– 417, 2019

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:38.597418Z

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.

Observation 58c71307-6882-4db1-be93-e8802cff584c · outbound

This paper cites Multiset theory.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Multiset theory

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:38.524756Z

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.

Observation b5f0bc98-1b99-45d2-a6d7-9330fdb345eb · outbound

This paper cites an unresolved cited work.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:17:38.449599Z

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.

Observation 3729e5a4-7a88-436a-831b-90346d769697 · outbound

This paper cites Unsolved problems in number theory, volume 1.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Unsolved problems in number theory, volume 1

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:38.376575Z

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.

Observation e93207c0-fe3a-4829-aacc-37b7739d08c3 · outbound

This paper cites On the determinatio n of numbers by their sums of a ﬁxed order.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem On the determinatio n of numbers by their sums of a ﬁxed order

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:38.323158Z

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.

Observation 037db1f0-717d-4ec4-845d-8d541394fe28 · outbound

This paper cites On the determination of sets by the sets of sums of a certain order.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem On the determination of sets by the sets of sums of a certain order

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:38.290785Z

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.

Observation db982222-f430-49ae-a969-46234373f9b2 · outbound

This paper cites On the determination of sets by sets of sums of ﬁxed order.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem On the determination of sets by sets of sums of ﬁxed order

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:38.264756Z

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.

Observation b8fa9ddb-b138-4f48-9c8b-7173573f1f1d · outbound

This paper cites Collections of mult iple sums.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Collections of mult iple sums

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:38.100520Z

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.

Observation 18578e9c-dac9-42aa-a354-a0cb7d33047a · outbound

This paper cites Examples of non-uniquen ess for the com- binatorial radon transform modulo the symmetric group.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Examples of non-uniquen ess for the com- binatorial radon transform modulo the symmetric group

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:38.064842Z

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.

Observation 4d722a9d-51af-453e-b8d5-bade6fe65431 · outbound

This paper cites A set of 12 n umbers is not determined by the set of its 4-sums.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem A set of 12 n umbers is not determined by the set of its 4-sums

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.929146Z

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.

Observation 7d43ed4e-c4df-48be-94fb-9772b0e8cf60 · outbound

This paper cites On The Determination of Sets By Their Subset Sums.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem On The Determination of Sets By Their Subset Sums

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-11T21:17:37.296364Z

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.

Observation e45e81ed-970a-48f1-9a3e-789e4fec1464 · outbound

This paper cites A genetic algorithm for the minimum generating set problem.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem A genetic algorithm for the minimum generating set problem

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.836371Z

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.

Observation 290a75b7-83e3-430f-a1c6-e90116ede4b0 · outbound

This paper cites The hardness of the hidd en subset sum problem and its cryptographic implications.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem The hardness of the hidd en subset sum problem and its cryptographic implications

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.786073Z

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.

Observation 3a5930cb-64bd-4993-9f2c-de6fc2edce11 · outbound

This paper cites A polynomial-t ime algorithm for solving the hidden subset sum problem.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem A polynomial-t ime algorithm for solving the hidden subset sum problem

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.730393Z

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.

Observation fe6e343d-6688-4ee7-87c7-6371596146ab · outbound

This paper cites Provably solvi ng the hidden subset sum problem via statistical learning.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Provably solvi ng the hidden subset sum problem via statistical learning

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.695714Z

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.

Observation 328e0462-4d68-45d3-bebb-639d41659e08 · outbound

This paper cites On the hardness of the hidden subset sum problem: algebraic a nd statistical attacks.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem On the hardness of the hidden subset sum problem: algebraic a nd statistical attacks

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.631896Z

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.

Observation 8597dbe4-0bdb-4d49-9f30-3022f408dd3a · outbound

This paper cites A comprehensiv e survey of privacy-preserving federated learning: A taxonomy, revie w, and future di- rections.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem A comprehensiv e survey of privacy-preserving federated learning: A taxonomy, revie w, and future di- rections

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.600722Z

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.

Observation f239aac2-7869-4e61-9ec2-ecc2c9a88e8e · outbound

This paper cites Algebra, volume 211.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Algebra, volume 211

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.566685Z

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.

Observation c143a0ad-8e47-4723-8100-2e910b988b3d · outbound

This paper cites Integer partitions.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Integer partitions

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.487247Z

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.

Observation ea3252ff-0dd7-44b0-8a61-566145bba815 · outbound

This paper cites Enumerative Combinatorics Volume 1 second edition.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Enumerative Combinatorics Volume 1 second edition

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.466878Z

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.

Observation 00b1efda-788b-4c1e-92b5-4ec06da5f627 · outbound

This paper cites Numerical Linear Algebra.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Numerical Linear Algebra

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.443392Z

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.

Observation 2b8c464d-93a8-462c-a1d8-20e493cdf2a6 · outbound

This paper cites Introduction to algorithms , volume 3.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Introduction to algorithms , volume 3

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.419368Z

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.

Observation cb8dc746-23cc-4735-ad9d-6f6a3658dbae · outbound

This paper cites Polynomial roots fr om companion matrix eigenvalues.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Polynomial roots fr om companion matrix eigenvalues

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.400825Z

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.

Observation e529840d-e218-4e59-b3ad-749e284d9c50 · outbound

This paper cites Asymptotic fo rmulaæ in combi- natory analysis.

Deterministic Algorithms to Solve the $(n,k)$-Complete Hidden Subset Sum Problem Asymptotic fo rmulaæ in combi- natory analysis

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:17:37.378347Z

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.

Pith citing papers

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