Paper Citation Record · LEDGER

Improved 2-Approximate Shortest Paths for close vertex pairs

As of 10 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2507.19859.

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

pith.paper-citation-record.v1
2507.19859 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:10:36.916250Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

28 of 28 outbound references displayed

verified exact1
verified fuzzy26
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8c0b8585-25ae-4c16-8aef-ad788ca09767 · outbound

This paper cites Fast estimation of diameter and shortest paths (without matrix multiplication).

Improved 2-Approximate Shortest Paths for close vertex pairs Fast estimation of diameter and shortest paths (without matrix multiplication)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.198293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation aeae4b03-0f6b-4db0-ace9-c6535e1404f0 · outbound

This paper cites An almost 2-approximation for all-pairs of shortest paths in subquadratic time.

Improved 2-Approximate Shortest Paths for close vertex pairs An almost 2-approximation for all-pairs of shortest paths in subquadratic time

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.189581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b57f531c-4d43-4446-997e-2e6f2c6ee611 · outbound

This paper cites A refined laser method and faster matrix multiplication.

Improved 2-Approximate Shortest Paths for close vertex pairs A refined laser method and faster matrix multiplication

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.180973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d0f5e962-1a46-4f7c-9e8d-3e98b9f7111d · outbound

This paper cites Faster algorithms for approximate distance oracles and all-pairs small stretch paths.

Improved 2-Approximate Shortest Paths for close vertex pairs Faster algorithms for approximate distance oracles and all-pairs small stretch paths

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.171695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 91e7b514-2346-4c7d-b0db-51c8a785c166 · outbound

This paper cites Faster approximation of distances in graphs.

Improved 2-Approximate Shortest Paths for close vertex pairs Faster approximation of distances in graphs

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.163216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cbdfab59-6b2a-4e81-8cb6-82c4d47f6a94 · outbound

This paper cites Approximate distance oracles with constant query time.

Improved 2-Approximate Shortest Paths for close vertex pairs Approximate distance oracles with constant query time

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.154384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6fe2e68f-77a1-4068-898f-8093806167c7 · outbound

This paper cites Approximate distance oracles with improved bounds.

Improved 2-Approximate Shortest Paths for close vertex pairs Approximate distance oracles with improved bounds

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.144835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2f096c24-ca56-4ba8-806a-a47c7a209d41 · outbound

This paper cites All-pairs small-stretch paths.

Improved 2-Approximate Shortest Paths for close vertex pairs All-pairs small-stretch paths

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.135372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 74ef797f-0ddb-46dc-880d-508dd9cb1624 · outbound

This paper cites Nearly 2-approximate distance oracles in subquadratic time.

Improved 2-Approximate Shortest Paths for close vertex pairs Nearly 2-approximate distance oracles in subquadratic time

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.126428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d6bbcc4a-ab43-44d9-9a7d-f1243098301b · outbound

This paper cites Fast 2-approximate all-pairs shortest paths.

Improved 2-Approximate Shortest Paths for close vertex pairs Fast 2-approximate all-pairs shortest paths

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.117840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6ccd1a83-5ce2-49c8-824f-156e4eda1b29 · outbound

This paper cites All-pairs almost shortest paths.

Improved 2-Approximate Shortest Paths for close vertex pairs All-pairs almost shortest paths

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.109116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3bc62de0-e941-48f2-b092-d1affa7d5ead · outbound

This paper cites New additive approximations for shortest paths and cycles.

Improved 2-Approximate Shortest Paths for close vertex pairs New additive approximations for shortest paths and cycles

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.100079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation add7c66b-7569-4a33-8411-4c79df5b9fe2 · outbound

This paper cites Improved bounds for rectangular monotone min-plus product and applications.

Improved 2-Approximate Shortest Paths for close vertex pairs Improved bounds for rectangular monotone min-plus product and applications

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.090740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2559195e-50df-422d-bab9-4177342009cf · outbound

This paper cites Faster matrix multiplication via asymmetric hashing.

Improved 2-Approximate Shortest Paths for close vertex pairs Faster matrix multiplication via asymmetric hashing

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.080877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cd1642c6-b482-447e-b2d3-f02b6ab0e296 · outbound

This paper cites Faster algorithms for all-pairs small stretch distances in weighted graphs.

Improved 2-Approximate Shortest Paths for close vertex pairs Faster algorithms for all-pairs small stretch distances in weighted graphs

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.069730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a0d363f6-9b8b-484c-9dac-49215b990d68 · outbound

This paper cites Additive Spanners and Distance Oracles in Quadratic Time.

Improved 2-Approximate Shortest Paths for close vertex pairs Additive Spanners and Distance Oracles in Quadratic Time

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:10:36.948563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7e9d35e6-0b45-407d-a7fa-8cf1510d9153 · outbound

This paper cites Powers of tensors and fast matrix multiplication.

Improved 2-Approximate Shortest Paths for close vertex pairs Powers of tensors and fast matrix multiplication

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.058611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 73335ed0-3712-4605-a560-28a6a10267de · outbound

This paper cites Distance oracles beyond the thorup-zwick bound.

Improved 2-Approximate Shortest Paths for close vertex pairs Distance oracles beyond the thorup-zwick bound

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.049767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 599e138d-ab84-46c1-a3d1-052f7a66c5f6 · outbound

This paper cites New algorithms for all pairs approximate shortest paths.

Improved 2-Approximate Shortest Paths for close vertex pairs New algorithms for all pairs approximate shortest paths

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.041012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 80015f5c-fb10-456f-87e5-fbb638fb6b86 · outbound

This paper cites On the all-pairs-shortest-path problem in unweighted undirected graphs.

Improved 2-Approximate Shortest Paths for close vertex pairs On the all-pairs-shortest-path problem in unweighted undirected graphs

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.032227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 09a333e0-696d-4c1f-977b-5a5c10ee22d6 · outbound

This paper cites All-pairs approximate shortest paths and distance oracle preprocessing.

Improved 2-Approximate Shortest Paths for close vertex pairs All-pairs approximate shortest paths and distance oracle preprocessing

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.023063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1690fea3-508f-4176-adf7-ed8484fa941c · outbound

This paper cites On the complexity of matrix multiplication.

Improved 2-Approximate Shortest Paths for close vertex pairs On the complexity of matrix multiplication

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T14:10:36.897413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7a8d903-bd5a-4149-9b2a-7087dff31f7d · outbound

This paper cites Faster approximate all pairs shortest paths.

Improved 2-Approximate Shortest Paths for close vertex pairs Faster approximate all pairs shortest paths

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:37.007570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ea7a5b30-d51e-40cc-81a2-c854edce9b4c · outbound

This paper cites Compact routing schemes.

Improved 2-Approximate Shortest Paths for close vertex pairs Compact routing schemes

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:36.998304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 23fe4096-6437-4df5-a6ed-487b7f6865e4 · outbound

This paper cites Multiplying matrices faster than coppersmith-winograd.

Improved 2-Approximate Shortest Paths for close vertex pairs Multiplying matrices faster than coppersmith-winograd

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:36.989197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ad6c5c3d-45cc-4c27-8e82-618ed297edbf · outbound

This paper cites Approximate distance oracles with improved preprocessing time.

Improved 2-Approximate Shortest Paths for close vertex pairs Approximate distance oracles with improved preprocessing time

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:36.980144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3b6df51a-3d5c-4035-9cdd-83eeef49198e · outbound

This paper cites Approximate distance oracles with improved query time.

Improved 2-Approximate Shortest Paths for close vertex pairs Approximate distance oracles with improved query time

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:36.969151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 61d2aff9-85fe-4e24-a8db-2d48403a2ead · outbound

This paper cites New bounds for matrix multiplication: from alpha to omega.

Improved 2-Approximate Shortest Paths for close vertex pairs New bounds for matrix multiplication: from alpha to omega

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:10:36.959228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.