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Paper Citation Record · LEDGER

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness

As of 8 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 2026-08-08T06:32:00.761636+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

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:28.645852Z digest=sha256:5b257791044e115ffc037e25d1eff175b2029da3f447fbc2dddce77c6a0b284e

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=sha256:36e86288f40e200895c2b3da1ea5702d0dbdd2a3518e4739beaba193b31010b7

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=sha256:28a05fcaec8eff4e29daa0f2adb83e8bbc2b83fb64f9430f1bb2d6434f5f92e7

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:28.993190Z digest=sha256:02a6d86c4bcac693198da4de6da37430ca0538cc53093057484ef66f5c6e73b7

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.087532Z digest=sha256:15555ce43bddb7961a11069048ccf93e3ee970d0af77ccbb2c1eaf0876347f96

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.153078Z digest=sha256:ea5342d766bca218a17d043f091a499bc9336c7fcdc3af562718c98d4bf36ebe

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.214632Z digest=sha256:5512536d5683d228a5cd47f4b585eb18bb7c098a690eaefa2a96bfece24a3173

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.293481Z digest=sha256:20d16bb16224d237315d664029474f84ecc9877f4a810a4a8e1296f8fc790436

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.373562Z digest=sha256:4f15d30b0553114453ce0b91da3974ff0d521be9dac7dc47e7cddea531d9f4c4

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.420760Z digest=sha256:49587594a865d1ae4ffb2ed2873d4fe2ca3e8fd0533f76a73da448664f10a4e0

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.536048Z digest=sha256:3080e47a02df57622f19ffb0bb5699782231797a03ad384f769baaf6cc884e7d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.644618Z digest=sha256:0f22f0263f81e24330f2c3d2994e4de345b9e59da4c6e2722c8ee3deb71729a7

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.786099Z digest=sha256:33e72476e03254e1f94b89fd694126598280ae41b57cc50f881d71796fe0a1d3

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.844574Z digest=sha256:b507c91de6d4d2b9dcd77f817580d73cdc1a4fd939e1beedba991362e7af0f09

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.896659Z digest=sha256:c6a66e629a104aaa00cfcf9a93472f9b700dc86b20bc6c9f16124e5ca48d05f6

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.965129Z digest=sha256:bc9c55401387edb6caffa8ab1d4ac9d3b8b107d8b6abf23d92d042945da31a61

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:30.021838Z digest=sha256:88673e2f86d7fa3e49843404e812abf001d2630e4ce4100f6349e0969ec68002

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:30.122173Z digest=sha256:c89945ae04f80b3851dcf26f31a922a5ef7100d30c7b6c19e2a975b6213e8b92

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:30.258257Z digest=sha256:ef914cba7a95919d8ce6d25c3840c7c02e3b32831d5d556c316c466c199a9352

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:30.355803Z digest=sha256:31bf3a00ef64e72b9ddcd66bd879dc8b94660a5f0de02ff4294b0ca8296afd8b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:30.423625Z digest=sha256:16f659cdb6e4c7a544d6f20f092fda20b98827cc4ee88492f6e9dfeefd250b72

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:23:30.512969Z digest=sha256:c218f8064366c73ec7689f76e2edb942289a0b775fa47597d83b35fa50fea11c

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=sha256:14737b6eb3c9b9caf18f941e828e0f91a95c450ea6bf73d96ff719add7791c90

Pith citing papers

No inbound Pith citation observations are available.