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Paper Citation Record · LEDGER

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2507.14060.

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

pith.paper-citation-record.v1
2507.14060 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:23:30.617105Z

measured 23 of 23 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

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 99f3d122-1160-47c9-9c41-2a3410948dd6 · outbound

This paper cites Raykar, Kirankumar Shiragur, and Haike Xu.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Raykar, Kirankumar Shiragur, and Haike Xu

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:33.858879Z

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.

source=arxiv_source observed=2026-08-06T16:23:28.645852Z digest=sha256:d507934aa8b45c87a6429fa57ca4173861f7a4573661e9d4b0c20f279058342b

Observation 1dd9da83-726d-4af4-813c-b8918cdd2a73 · outbound

This paper cites Distance Adaptive Beam Search for Provably Accurate Graph-Based Nearest Neighbor Search.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Distance Adaptive Beam Search for Provably Accurate Graph-Based Nearest Neighbor Search

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T16:23:28.808922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:23:28.808922Z digest=sha256:085a2013b7f60a38e6f7dc580e7de5e1db102f62e9a75a9e616f8a630b459fe9

Observation 085de39c-927a-4cb2-bd6f-90bd7dfbd56b · outbound

This paper cites Cover trees for nearest neighbor.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Cover trees for nearest neighbor

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T16:23:28.923821Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:23:28.923821Z digest=sha256:195ac28728ee7f9b10f89846c8803652d0b0e234754fc4ac7d2dbfed415b3ae0

Observation 5be74378-1d57-4ceb-97d5-9465635ff85d · outbound

This paper cites Efficiently constructing sparse navigable graphs, 2025.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Efficiently constructing sparse navigable graphs, 2025

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:33.752665Z

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.

source=arxiv_source observed=2026-08-06T16:23:28.993190Z digest=sha256:f5a8a05db9199d65d416d086db888f87a930270e82465386fce61483027ea956

Observation 96bd0df0-e7f9-4cab-95ee-9c05e221cc94 · outbound

This paper cites Clarkson.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Clarkson

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:33.590758Z

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.

source=arxiv_source observed=2026-08-06T16:23:29.087532Z digest=sha256:894d8985cfe7700acdfeeab4fdd0d774adf10ecbc467149988b0699aa8242e71

Observation 3dab7f35-fdb0-4c87-879c-5e07b59cba92 · outbound

This paper cites Navigable graphs for high-dimensional nearest neighbor search: Constructions and limits.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Navigable graphs for high-dimensional nearest neighbor search: Constructions and limits

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:33.440796Z

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.

source=arxiv_source observed=2026-08-06T16:23:29.153078Z digest=sha256:f6921025d649717fdb1c024207c4e6dd759fee9e774494b1b6df3547874ea04c

Observation 6b927733-6639-4381-8e3c-b2ff9a592385 · outbound

This paper cites Beyond the Worst-Case Analysis of Algorithms , chapter Nearest Neighbor Classification and Search.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Beyond the Worst-Case Analysis of Algorithms , chapter Nearest Neighbor Classification and Search

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:33.273115Z

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.

source=arxiv_source observed=2026-08-06T16:23:29.214632Z digest=sha256:a350ea5f9372678d01f184ef76862f304875800424d04838e1856e920a7fccc6

Observation a9a723aa-1371-4945-8904-b24ab588dd44 · outbound

This paper cites Analytical approach to parallel repetition.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Analytical approach to parallel repetition

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:33.144507Z

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.

source=arxiv_source observed=2026-08-06T16:23:29.293481Z digest=sha256:171691d4e3dba0cbea4eadcb0fb7712e461c5efe7e8564b3ebbbc5df1a856567

Observation 6af91fb4-c8c9-47bc-8824-02d8177020ae · outbound

This paper cites Fast approximate nearest neighbor search with the navigating spreading-out graph.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Fast approximate nearest neighbor search with the navigating spreading-out graph

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:33.007146Z

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.

source=arxiv_source observed=2026-08-06T16:23:29.373562Z digest=sha256:ea4d81758af8d1df3dabceeb0be9a01a9d3f80929be30912e32395d251e6d084

Observation 5bd037a6-6398-42ef-8ea2-7ad416cb6bdd · outbound

This paper cites Gupta, R.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Gupta, R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:32.810373Z

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.

source=arxiv_source observed=2026-08-06T16:23:29.420760Z digest=sha256:45258188de4cc985253b21b1a99abdcae26270152170e65eb7d679df51044e55

Observation 818a9545-aabd-4cd0-acab-f7f3f14b61d3 · outbound

This paper cites Sort before you prune: Improved worst-case guarantees of the disk ANN family of graphs.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Sort before you prune: Improved worst-case guarantees of the disk ANN family of graphs

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:32.617942Z

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.

source=arxiv_source observed=2026-08-06T16:23:29.536048Z digest=sha256:0d008fedc7fdd3799bdfc2a35f35776d3dca252860f30e81c6215a62e998cd82

Observation 7da4fcbe-ab94-4ca6-b027-cc944df89c66 · outbound

This paper cites Set Cover in Sub-linear Time.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Set Cover in Sub-linear Time

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:32.476817Z

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.

source=arxiv_source observed=2026-08-06T16:23:29.644618Z digest=sha256:19bb917f9280b6898837bb8f55745e54e1439a42087a4c4c109b237fa11f6fdc

Observation a3bfaf76-b0aa-45dd-ad01-e20c3ea00c6f · outbound

This paper cites Worst-case performance of popular approximate nearest neighbor search implementations: Guarantees and limitations.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Worst-case performance of popular approximate nearest neighbor search implementations: Guarantees and limitations

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:32.314898Z

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.

source=arxiv_source observed=2026-08-06T16:23:29.786099Z digest=sha256:3d332f32af4e9e3386552e4e32625a8537b9cac6cddcd8ae52f55a72bfb7c76f

Observation c0b7d52f-d8b3-4b94-aa56-c2c5bb8a441a · outbound

This paper cites an unresolved cited work.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:23:32.188556Z

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.

source=arxiv_source observed=2026-08-06T16:23:29.844574Z digest=sha256:e5d09f5e5e106a58cb06e2aec81b86ad9dc3da74e5bb2356d17aab5925eb87f3

Observation 367c4ac4-1f3b-4f4a-b417-eb6c66a2cb9c · outbound

This paper cites Diskann: Fast accurate billion-point nearest neighbor search on a single node.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Diskann: Fast accurate billion-point nearest neighbor search on a single node

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:32.033927Z

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.

source=arxiv_source observed=2026-08-06T16:23:29.896659Z digest=sha256:994c132feca469576862c6409d049156864f36f11d7488f5b746857b35416552

Observation 92862936-58c5-4284-9927-ecb5aaf6d266 · outbound

This paper cites an unresolved cited work.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:23:31.841068Z

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.

source=arxiv_source observed=2026-08-06T16:23:29.965129Z digest=sha256:3809da6bea08d25c9cec7dc3b2394066e223fc73ce2e31762e6a9fd053ca419e

Observation ac609635-d673-45ac-af68-72a309716974 · outbound

This paper cites an unresolved cited work.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:23:31.700281Z

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.

source=arxiv_source observed=2026-08-06T16:23:30.021838Z digest=sha256:d89cbf90ee93f3c66b8ae88ef5aae22d007b4c1b33eceb20af132f29a7f96735

Observation c69cd5fd-4e9d-4174-b3ef-12d3d979a378 · outbound

This paper cites Graph-based time-space trade-offs for approximate near neighbors.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Graph-based time-space trade-offs for approximate near neighbors

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:31.503757Z

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.

source=arxiv_source observed=2026-08-06T16:23:30.122173Z digest=sha256:07eb3e2105fa0f817470ab08b23b46279e2f15fba235129d48e1a64e45d541d0

Observation 9214f825-5596-447e-9b7b-34223786c64e · outbound

This paper cites Efficient and robust approximate nearest neighbor search using hierarchical navigable small world graphs.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Efficient and robust approximate nearest neighbor search using hierarchical navigable small world graphs

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:31.351836Z

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.

source=arxiv_source observed=2026-08-06T16:23:30.258257Z digest=sha256:07de04bfcd9d753157cf6dd3126085107e6e386f9cbd6de40f9c848c7e7c0b3b

Observation 34400c9c-2619-469c-bc92-6a3ea43ef561 · outbound

This paper cites Graph-based nearest neighbor search: From practice to theory.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Graph-based nearest neighbor search: From practice to theory

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:31.178624Z

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.

source=arxiv_source observed=2026-08-06T16:23:30.355803Z digest=sha256:b51dc78d93366a702895ca6ed5ccbc6516e6e50a125edd8789c0ac1d55f990cd

Observation 256c9ea2-c08d-4674-8737-9662dc47225b · outbound

This paper cites Results of the big ann: Neurips'23 competition, 2024.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Results of the big ann: Neurips'23 competition, 2024

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:31.032003Z

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.

source=arxiv_source observed=2026-08-06T16:23:30.423625Z digest=sha256:b8c6aec31c06c96c636268df62ba520cb5f93efd6afd48d14e75dcc3236d706d

Observation d062ba19-f5df-4403-b356-f4ffd9ad3bc9 · outbound

This paper cites Results of the NeurIPS'21 challenge on billion-scale approximate nearest neighbor search.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness Results of the NeurIPS'21 challenge on billion-scale approximate nearest neighbor search

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:23:30.817662Z

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.

source=arxiv_source observed=2026-08-06T16:23:30.512969Z digest=sha256:fbedf2ce8d847e9fbd5b68d88a8f31774994f3fc6f5c9089b885e6692c5fbf42

Observation b90574ad-1c11-436d-aa30-332d36d88d5c · outbound

This paper cites A Bi-metric Framework for Fast Similarity Search.

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness A Bi-metric Framework for Fast Similarity Search

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-06T16:23:30.617105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:23:30.617105Z digest=sha256:1013063f0917c2d67506d7838cd89e939dd80f904a772f24538e6b48b27d9d8f

Pith citing papers

No inbound Pith citation observations are available.