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Paper Citation Record · LEDGER

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

As of 22 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:06.825237Z digest=sha256:a3496b0efd1ee4d07700fdacae68e8fff6156a3100a5ef075b924fb4cd6b6188

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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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=sha256:4cc8c6ad33cdccdcb90c6fa973cf8bbd9cbd4877db61f199d1cdedb8fa47abd7

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:07.087639Z digest=sha256:c90f182bc9e20f05a414a5c81d05730bc80e10be623e9f82aff6e133f10cb17d

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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unresolved
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:a3edcc3f2b068c469efd05d2e09b8e3b5e95dccdcb8ced449a65cf59f032ed76

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=sha256:826e41e64eec6801ed5d359f7b9d70651ceea982af9ebf4bdf22ad53cbd67d28

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:cbae72c3fdb9f6efee03eca14066d6ab5870c6d2464358f68bb42702b7d7c81c

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:07.686171Z digest=sha256:a26addf4733d4ae3cdd5bd2c9e67c5e6f30b9403b2da29994ef5733370456dfb

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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no resolver link, observed 2026-08-07T05:44:07.811580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:07.811580Z digest=sha256:a3916b43cbe8131778c66374bd1074d04e0d212d7b5ce6ec9a0216e97e7b3ca4

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:b3d704b1d17ba7f90ee1adcffc0bdee60b462cb49a01f62fd22ae6c7863515f9

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=sha256:9be8ff98662a56b45957f718054da47ecfe4e1625c7b937e68055e53cc5e4ca2

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:08.258372Z digest=sha256:68695f54311d7f09c24a11de04feacb7780302dcc840a85dfde5e98eae0f81d4

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

Resolution
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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:08.392493Z digest=sha256:c029ee2fd91abf73f261efaa97ed5f9f88ab0cbaedbdfe3a19019c58aca8ca7f

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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unresolved
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=sha256:8b09cdcb3974dc60260a5d3625f61df0d50bbf57fb141f4ee1ad643fa86ef81e

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:08.687970Z digest=sha256:12736799261b949bdefa7f42f5fb700519acced1c70f35d008a7bc791609c0ef

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:c50817cb964976333efc4e911c527ae107f068edd2ef485040302dd8111d32b7

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=sha256:3a4097330062d359fca6d795e941ac36a2c4af66956ae66c8a3fb35688d4b354

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:f42323e6b5b7d0ef2aa1135f559dfaee02e29cf8469e01b2800452fdf791297f

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:09.267608Z digest=sha256:c5dc966673be76eac61a00ebd8eff450efeebc596c07572a18bf4d9d701d8389

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:09.403687Z digest=sha256:8db49dbc0398e4e462d917816ed4f7df8082e95258d20d4a0d975aacc21d8af9

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:b6715c3b09253a31261b6945a8e51b522039f22e1570fc4a1b7c4c676344a1a2

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=sha256:390410c0a24a7a39d81e626243ddf0924a9897e7b9ae8070482d4bc2202c5dd0

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:09.801274Z digest=sha256:e53ef4ab6cb1ba9280399f098aff7b1ea0847d18656a9e3b23861a0359470d44

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:09.923083Z digest=sha256:737c09ca3ce2450e989191cc799241340684fd0be9e5f3cdd15d710f5c0d0bb3

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=sha256:7f68428f3f3e97e8a8e41fb8848c74186e21bb8d1380e37672611924e945f20d

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:10.272158Z digest=sha256:0b7fd7ad8532e2469823249b71254489ae6c73a7dc580ab9e0ca45ba5bf927af

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:10.399573Z digest=sha256:81fe8766f6c10bce6a8b67672fdf3073c390d1194b443966d7c8b836eb66e4e9

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=sha256:7a28fdf949ef77aef477bcdce408e6df51de7524f3c030bfeb2150845587f978

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:10.682282Z digest=sha256:996c341933e70ec2390358af4f254b8c394fa8101872b643c104c22d31a2e0dc

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:10.787742Z digest=sha256:fa06b2ec17a6eb354470b17b69c186c18a8a30e6ac5afc0c4ca33315bd3690e6

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

Resolution
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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:10.933098Z digest=sha256:1009cf5f389a299dba2afe42f91fe11d79c0ff3a1755df881fa8da6b7f718ce6

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T05:44:11.064471Z digest=sha256:b1fec84eb7a6aa3984c1ec26dbe6aa76f2ea011adbe8eb290be730dd33c2f29e

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

Resolution
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:ab57612b77e5c52c0853a69380cae94b957206fc7fed254c015d99d53a2aa165

Pith citing papers

No inbound Pith citation observations are available.