Paper Citation Record · LEDGER

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.18846.

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

pith.paper-citation-record.v1
2607.18846 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T14:13:39.822547Z

measured 16 of 16 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

16 of 16 outbound references displayed

verified exact0
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf62ca59-1274-47b1-b4d4-3f5f887ee2ca · outbound

This paper cites Differentially private hierarchical clustering with provable approx- imation guarantees.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers Differentially private hierarchical clustering with provable approx- imation guarantees

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:38.707328Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1d38088-6361-4b76-bf77-d009175c9be7 · outbound

This paper cites Graph sparsification by effective resis- tances.SIAM Journal on Computing, 40(6):1913–1926,.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers Graph sparsification by effective resis- tances.SIAM Journal on Computing, 40(6):1913–1926,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:39.529845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdc0eb18-f555-4ab6-a527-3044d5866f4d · outbound

This paper cites InHannaM.Wallach,HugoLarochelle,AlinaBeygelzimer, Florence d’Alché-Buc, Emily B.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers InHannaM.Wallach,HugoLarochelle,AlinaBeygelzimer, Florence d’Alché-Buc, Emily B

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:39.666334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5b91e1d-6688-4af2-813a-bc81eabeaaee · outbound

This paper cites On the priceofdifferentialprivacyforhierarchicalclustering.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers On the priceofdifferentialprivacyforhierarchicalclustering

Reference 1952

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:38.300650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6f2a6a0-d1de-4f62-a0e0-c1831ec4de71 · outbound

This paper cites Deterministic Weighted Expander Decomposition in Almost-linear Time.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers Deterministic Weighted Expander Decomposition in Almost-linear Time

Reference 1993

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:39.049278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42c5b634-4680-43a5-a79d-689afd61f420 · outbound

This paper cites Optimal bounds on private graph approximation.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers Optimal bounds on private graph approximation

Reference 2003

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:39.147778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8e95b9c-4e24-48d0-b533-6ac352415b92 · outbound

This paper cites Harmonizing semantic and collaborative in llms: Reasoning-basedembeddinggeneratorforsequentialrecommendation.arXivpreprint arXiv:2606.16703,.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers Harmonizing semantic and collaborative in llms: Reasoning-basedembeddinggeneratorforsequentialrecommendation.arXivpreprint arXiv:2606.16703,

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:38.554855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a473f4fe-2c0a-4162-91dd-7874e5b97b74 · outbound

This paper cites Differentiallyprivatesyntheticgraphspreservingtriangle- motif cuts.arXiv preprint arXiv:2507.14835,.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers Differentiallyprivatesyntheticgraphspreservingtriangle- motif cuts.arXiv preprint arXiv:2507.14835,

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:39.334097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50803aab-638e-4223-8d61-dca522d6edc0 · outbound

This paper cites Glove: Global vec- tors for word representation.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers Glove: Global vec- tors for word representation

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:39.224697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f344b3a2-05c6-47f1-9412-80f99c7b3dd0 · outbound

This paper cites Beyond Semantic Understanding: Preserving Collaborative Frequency Components in LLM-based Recommendation.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers Beyond Semantic Understanding: Preserving Collaborative Frequency Components in LLM-based Recommendation

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:39.822547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a8913ce-1887-47d2-b43b-b6b0dc495a1c · outbound

This paper cites The Johnson- Lindenstrauss transform itself preserves differential privacy.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers The Johnson- Lindenstrauss transform itself preserves differential privacy

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:37.875057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 938d7c5d-b0ba-485c-b38d-b1226e62dcf9 · outbound

This paper cites Potential-Function Proofs for First-Order Methods.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers Potential-Function Proofs for First-Order Methods

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:38.056328Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3661e958-621a-419d-8e90-711d9fb0bacd · outbound

This paper cites an unresolved cited work.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers Unresolved cited work

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:38.968448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81a0b3f0-d453-4f56-802b-e6b948df8202 · outbound

This paper cites Differentiallyprivatetrian- gle and 4-cycle counting in the shuffle model.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers Differentiallyprivatetrian- gle and 4-cycle counting in the shuffle model

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:38.815547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 539a7fad-54fc-4f87-9b38-719f880602b2 · outbound

This paper cites Local node differential privacy.arXiv preprint arXiv:2602.15802,.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers Local node differential privacy.arXiv preprint arXiv:2602.15802,

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:39.402354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebc82fc7-b302-40cb-a31e-ad23bef0972a · outbound

This paper cites Near-optimalcorrelationclus- tering with privacy.

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers Near-optimalcorrelationclus- tering with privacy

Reference 2026

Resolution: unresolved; no resolver link, observed 2026-08-01T14:13:38.210356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.