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Paper Citation Record · LEDGER

Sparse Navigable Graphs for Nearest Neighbor Search: Algorithms and Hardness

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:28.645852Z digest=sha256:cb4f4d0351f3485dcdaec0a0feeec072f2e8de461802b352b3dfea92cd9f6e8b

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:f28047a215507ab15ac61898b7f60ffacf5df37282aa49c6290e2569af2b487d

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=sha256:05a2e1c3aa24bd0852a5bf1c4f915b3a54f969e0ebbefe3207e7fcc26a08c40b

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:28.993190Z digest=sha256:de31919e448b0c340acde0ce22720f8dc60ebf0636b0fbc83511d65a3909cd14

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.087532Z digest=sha256:5b124e1ffd371053c06da60acc390e9e118f2c37ba8f9e176a9ff171269ad8d0

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.153078Z digest=sha256:9aa0b366161d9410d6ce3a4ae1d0c653f293c03a7515b4b8cc5f25fd43673cfb

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.214632Z digest=sha256:9edfda911c9322afb96e6268a5295b7e2c52db8c40f1c8b15e85e236fa0aa333

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.293481Z digest=sha256:73345572851206584c2434149dad98cb130bc8a32940de4cad7c26196b289681

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.373562Z digest=sha256:12880f12f85cc00a20b0cab6111400e648335b283a9084cd10a1b5454d9e60f6

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.420760Z digest=sha256:6bc1c039fd5d1e652e623fa161878e5334f921e3ed7a6fb2dd8c0e0ba7649143

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.536048Z digest=sha256:ac0c3b9377d43a4976c3eeec4a8f811a1ac06a943c4788613fb73e7cb6155a9f

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.644618Z digest=sha256:88806454fa8a4e45b40084e0a6059450483e1ac88634256598295e874172acac

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.786099Z digest=sha256:da162d5bdbd9afc318cff3251ab05cf24a5fb6d87c1522a4ca46634e9a32c8be

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.844574Z digest=sha256:f8ef0646ca1aab852ef69f7f620313c53bf8c9f68ab2f4f018f4fb1262ddcc40

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.896659Z digest=sha256:6b30a706d2c49025221da295b309eaca69f99ad0d1879c9841ebc8ec0ea4a470

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:29.965129Z digest=sha256:1efd184608e5d68cd9d1e3f278485cd8b645766b088c2020d0549164428c7270

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:30.021838Z digest=sha256:55e4335820c123bba87ec0e99bdfe8dd16d9ed3f350aafc75ace01c3c89eff50

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:30.122173Z digest=sha256:4f5540b126f635637ccc32a9c4bb52d7db081780b5b33d09382f3f67e17dd4d0

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:30.258257Z digest=sha256:5d8792b8b1f06ed2f8bbbc49ccffc070d43bb81ca80acd17a5c82997803992c5

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:30.355803Z digest=sha256:88b455d5ef45b3a4dd35433b0a57177d59a07c914f6c59503d3f9aa74dc3f35a

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:30.423625Z digest=sha256:1b46754f1552a75744120e222f1aafe08a4898520be052706c2d874b90763b37

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-06T16:23:30.512969Z digest=sha256:8c4e2fb82f3ee23611bfc93e19bc7c166fc085a8cbde7cc888bd4bf6871c0fd0

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=sha256:9ae9fd74d5b6857ec4b82b389d9a6f65f5bfb4f6d8fa62102ad8f3e286d1e574

Pith citing papers

No inbound Pith citation observations are available.