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Paper Citation Record · LEDGER

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs

As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.07571.

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

pith.paper-citation-record.v1
2506.07571 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:44:11.207176Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

32 of 32 outbound references displayed

  • verified exact10
  • verified fuzzy2
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 84fa77a8-aa0a-4c5b-bd14-6d565dd17cc6 · outbound

This paper cites Agarwal, Matthew J.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Agarwal, Matthew J

Reference 1

Resolution
verified exact
doi, observed 2026-08-07T05:44:13.803065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:06.825237Z digest=sha256:2ab3447a11a7cda2f9fe16faec65e7febdc19cd94de5039719814527ef05be0a

Observation f91b5fd4-e03a-4fab-a131-2f49d4bdd6c3 · outbound

This paper cites Improved bounds for the union of locally fat objects in the plane.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Improved bounds for the union of locally fat objects in the plane

Reference 2

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unresolved
no resolver link, observed 2026-08-07T05:44:06.968449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:06.968449Z digest=sha256:8a4f878f1160e42b9ac3e86c63b801645d51331e59c936f6904e134cb2116f64

Observation 7c8601b9-4e42-40e9-ad32-08bbd2034d3f · outbound

This paper cites an unresolved cited work.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Unresolved cited work

Reference 3

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T05:44:15.819959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:07.087639Z digest=sha256:7bf3eb1272e5217900780780fb088cdc340306ca3a0ac4011fdd10cb05f343ab

Observation 8c0f48d1-dfa8-4663-887b-0a7ebae90ce0 · outbound

This paper cites Shortest paths in intersection graphs of unit disks.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Shortest paths in intersection graphs of unit disks

Reference 4

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no resolver link, observed 2026-08-07T05:44:07.228243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:07.228243Z digest=sha256:b140c31438b4805629c7dfa973c48d7aa636b4f78fd91f7bf516f8f78cde5eee

Observation 1fbf9f47-3112-4ccc-aded-dbe101e7e506 · outbound

This paper cites an unresolved cited work.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Unresolved cited work

Reference 5

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no resolver link, observed 2026-08-07T05:44:07.404092Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:07.404092Z digest=sha256:0bc4456a16fc23d14dfa24da1af0ba470462c853f3f66501c1547fb29fdc8751

Observation bd3ea6ed-fc92-4085-8cec-b31e9ba38dfb · outbound

This paper cites an unresolved cited work.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T05:44:07.565406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:07.565406Z digest=sha256:92e4f4b3366d1164958cec4753ee114f77ca411d2c1385b850683db72ba0bb21

Observation a2625332-c3b1-4e3f-849f-b1b821ee661d · outbound

This paper cites an unresolved cited work.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Unresolved cited work

Reference 7

Resolution
verified exact
doi, observed 2026-08-07T05:44:13.556036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:07.686171Z digest=sha256:9faa68ecb2d21e2cd26ee7ee6156a9c917f0870d8622da3d2fabf748d95df492

Observation 50ab4bfe-faa9-4ed9-8089-032a1aba7c82 · outbound

This paper cites Chan and Zhengcheng Huang.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Chan and Zhengcheng Huang

Reference 8

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:07.811580Z digest=sha256:d28c9b08646811debb29ae8709181e26fbcea945db26cf223c5c70f510f19673

Observation 08e84b1e-261b-4387-8ebd-a0fc927eda9e · outbound

This paper cites Chan and Dimitrios Skrepetos.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Chan and Dimitrios Skrepetos

Reference 9

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no resolver link, observed 2026-08-07T05:44:07.952589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:07.952589Z digest=sha256:162802f9543b6da1209616503562eb72693c19d4c349368e049ebdb9aebbfabc

Observation 183c29d9-3fc8-46d7-a717-82daa1b295da · outbound

This paper cites Chan and Dimitrios Skrepetos.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Chan and Dimitrios Skrepetos

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T05:44:08.100197Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:08.100197Z digest=sha256:e299ade2e99400798899fd35f93f8f80181cb866963f489930194cca66f4a31e

Observation 07adc9bd-a4a6-4aed-8da1-cd7e8109ad68 · outbound

This paper cites An optimal algorithm for intersecting three-dimensional convex polyhedra.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs An optimal algorithm for intersecting three-dimensional convex polyhedra

Reference 11

Resolution
verified exact
doi, observed 2026-08-07T05:44:13.256858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:08.258372Z digest=sha256:2b95253ae01f51c9afa6371445ea661f190c3796c57ded8dcc958623ae5cb5c0

Observation 1838a3f1-57cb-4a80-9089-4123aeb28da6 · outbound

This paper cites An optimal algorithm for intersecting line segments in the plane.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs An optimal algorithm for intersecting line segments in the plane

Reference 12

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metadata mismatch
raw_fallback, observed 2026-08-07T05:44:15.419898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:08.392493Z digest=sha256:2ac3a876bfc795d576eb443ca17eabf96ec04f4a7d5477f001e234dd88ebf2c4

Observation 5415914f-a661-4e55-ac2e-50916ac0eeab · outbound

This paper cites an unresolved cited work.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Unresolved cited work

Reference 13

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no resolver link, observed 2026-08-07T05:44:08.526032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:08.526032Z digest=sha256:8110dbc01afcb90b6b9e1725bb1fd45c54ef9f0f786f9643088b1c44659f3d35

Observation 61f9b01e-1a76-463e-8c6e-3ee55e517eef · outbound

This paper cites Cormen, Charles E.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Cormen, Charles E

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:16.392239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:08.687970Z digest=sha256:c0b1b01bb88022b598925b49b29b2227d3b0ddb857b59a3bec312293fb7141a9

Observation fa07d1b5-bf5c-4765-8da4-055a82c69a01 · outbound

This paper cites van Kreveld, and Mark H.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs van Kreveld, and Mark H

Reference 15

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unresolved
no resolver link, observed 2026-08-07T05:44:08.835613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:08.835613Z digest=sha256:a946bd5bb5676ef51964ff51b71fc3938ab3539d312ec05a841a9afb70393d65

Observation 068b2e24-2de6-4c3a-921b-fb5a7f659eef · outbound

This paper cites Algorithms in Combinatorial Geometry , volume 10 of EATCS Monographs on Theoretical Computer Science.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Algorithms in Combinatorial Geometry , volume 10 of EATCS Monographs on Theoretical Computer Science

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T05:44:08.988182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:08.988182Z digest=sha256:d733988fa4a37b78c6cee42b9d0d019b4c78c08f32399529c3b1b70e48dca942

Observation 242f80b2-6a9c-4dbe-91ef-618415f3971b · outbound

This paper cites Guibas, and Jorge Stolfi.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Guibas, and Jorge Stolfi

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T05:44:09.149680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:09.149680Z digest=sha256:cd7f62165e23efe622a7ad7b0a283e3e084c96e798b2e22fb5beb9ccaa5c5dc2

Observation d7897ecb-4296-4bb6-9ddd-0669d4561aba · outbound

This paper cites an unresolved cited work.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Unresolved cited work

Reference 18

Resolution
verified exact
doi, observed 2026-08-07T05:44:12.935379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:09.267608Z digest=sha256:35125eb802093293c8af6ffaeda4c65814acbfa83862559a22b67405f3c7e2fa

Observation 4368f696-99ee-4229-b511-93b1db0dabc3 · outbound

This paper cites Goodrich, and Jonathan Z.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Goodrich, and Jonathan Z

Reference 19

Resolution
verified exact
doi, observed 2026-08-07T05:44:12.664874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:09.403687Z digest=sha256:b2abdf249a2986ccf7871f942fdc31d0a5df7051cda1a77fa57e9404268ed514

Observation 36ae5a55-d2a7-481d-8857-b4354d9d9013 · outbound

This paper cites New lower bounds for H opcroft's problem.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs New lower bounds for H opcroft's problem

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T05:44:09.550357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:09.550357Z digest=sha256:51f3e7ddc0d2a37b7b40a48a0c2646a8c0b81ef3c390093e20b9d885f94b9815

Observation b1748580-c080-433c-954d-c2bba35e2596 · outbound

This paper cites A sweepline algorithm for V oronoi diagrams.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs A sweepline algorithm for V oronoi diagrams

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T05:44:09.658298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:09.658298Z digest=sha256:f1a04c29cf89d85bb561b4c8a0f02274a9d53ad953b99a0a5d73178a46ba3a0e

Observation 45b80c4b-b1a8-4f4f-b354-57ae910b7ee3 · outbound

This paper cites Algorithms for Fat Objects: Decompositions and Applications.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Algorithms for Fat Objects: Decompositions and Applications

Reference 22

Resolution
verified exact
raw_fallback, observed 2026-08-07T05:44:15.058061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:09.801274Z digest=sha256:46fc882100e6ed41cc5324bf3226ac3aec8817e7271222827afdf310e105b424

Observation 0f55125f-0262-4b58-886b-bfa5fdf1302f · outbound

This paper cites Guibas and Jorge Stolfi.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Guibas and Jorge Stolfi

Reference 23

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T05:44:14.752645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:09.923083Z digest=sha256:ca619faa36b5576607edd807ef44f8a015afa3dc936d6a7ed86f8516a486fe10

Observation b6f89802-98d7-4215-afa6-49bbc9030e86 · outbound

This paper cites Geometric approximation algorithms , volume 173 of Mathematical Surveys and Monographs.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Geometric approximation algorithms , volume 173 of Mathematical Surveys and Monographs

Reference 24

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unresolved
no resolver link, observed 2026-08-07T05:44:10.032920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:10.032920Z digest=sha256:28a562a7256c6046f1d5d13047e8690e816d6dbb64a8a618e53f3f744e76c79b

Observation 442d95de-335f-4814-af6b-edca75d458c1 · outbound

This paper cites Dynamic planar V oronoi diagrams for general distance functions and their algorithmic applications.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Dynamic planar V oronoi diagrams for general distance functions and their algorithmic applications

Reference 25

Resolution
verified exact
doi, observed 2026-08-07T05:44:12.386310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:10.272158Z digest=sha256:27f5af8673e28d15a2920d92093c22650a09b7ad0ce56bffdb8b9283f1cf646b

Observation 619d5d8a-7bcf-4719-8939-6f21dae69f95 · outbound

This paper cites Kirkpatrick.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Kirkpatrick

Reference 26

Resolution
verified exact
doi, observed 2026-08-07T05:44:12.083674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:10.399573Z digest=sha256:034ed07bb764064589a9236181887b55d8a51c63b8db0e644d73a3eed12081f3

Observation 8417575b-c0eb-4e3c-903c-59519335ee2d · outbound

This paper cites An algorithmic framework for the single source shortest path problem with applications to disk graphs.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs An algorithmic framework for the single source shortest path problem with applications to disk graphs

Reference 27

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unresolved
no resolver link, observed 2026-08-07T05:44:10.561189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:10.561189Z digest=sha256:cf6fe3ce471943cd9ededcac7046af413c69d37e8c0a8869fe10230d7ce24736

Observation 4bdf2cbf-dd00-412b-9a83-4293236c7110 · outbound

This paper cites Nearly optimal planar k nearest neighbors queries under general distance functions.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Nearly optimal planar k nearest neighbors queries under general distance functions

Reference 28

Resolution
verified exact
doi, observed 2026-08-07T05:44:11.772249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:10.682282Z digest=sha256:3e958f96bf60fe98f150621af195da1e1478ee5d2665e456ede6f967413dfed1

Observation d9d1b702-816c-4539-9353-931554448aaf · outbound

This paper cites Lectures on Discrete Geometry , volume 212 of Graduate Texts in Mathematics.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Lectures on Discrete Geometry , volume 212 of Graduate Texts in Mathematics

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:16.110673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:10.787742Z digest=sha256:1d753f75f704f484d0fd4632d79728a2b54c11bc3fd461741eddb5d51dfb089a

Observation 45fac9b7-4e6e-4045-a7fd-595fa0f9d5fe · outbound

This paper cites A fast planar partition algorithm, II.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs A fast planar partition algorithm, II

Reference 30

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metadata mismatch
raw_fallback, observed 2026-08-07T05:44:14.278358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:10.933098Z digest=sha256:e501f696a7bfda6f1242cb5a0f7acce953e11af4aa362e8c63a95ae38d02c288

Observation 06c90625-3aa6-47c6-8899-9c8605d92357 · outbound

This paper cites On bounded leg shortest paths problems.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs On bounded leg shortest paths problems

Reference 31

Resolution
verified exact
doi, observed 2026-08-07T05:44:11.498819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T05:44:11.064471Z digest=sha256:012afa36744bbed2aff3835acdd87c6e7c550031b12e4ed4e2ff761e3be8c160

Observation 39a418fe-eba0-4e6d-bd1b-6042eaf224f9 · outbound

This paper cites Willard and George S.

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs Willard and George S

Reference 32

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unresolved
no resolver link, observed 2026-08-07T05:44:11.207176Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:11.207176Z digest=sha256:b52989b9374195eaa489808e9c6a8b63e67ab15e71dd44d4cecece1fb637bceb

Pith citing papers

No inbound Pith citation observations are available.