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Paper Citation Record · LEDGER

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links

As of 23 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2604.21528.

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

pith.paper-citation-record.v1
2604.21528 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T13:43:12.374248Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

31 of 31 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ca13fda2-aa0e-4eb9-8440-ef54993ac563 · outbound

This paper cites Spatial networks.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Spatial networks

Reference 1

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Observation f0ee7eda-f555-4fc6-a6a3-8f532cfc5b0a · outbound

This paper cites Recognition and vulnerability analysis of key nodes in power grid based on complex network centrality.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Recognition and vulnerability analysis of key nodes in power grid based on complex network centrality

Reference 2

Resolution
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Source-reported events for the cited work

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Observation 72a3ffe8-f56f-4c36-91fc-219c3b30a9a9 · outbound

This paper cites Graph vulnerability and robustness: A survey.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Graph vulnerability and robustness: A survey

Reference 3

Resolution
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Observation bf6b5444-0bff-4595-95bf-4cae379d81df · outbound

This paper cites Robustness assessment of public transport networks in various graph representations: Systematic review, decision support, and case study.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Robustness assessment of public transport networks in various graph representations: Systematic review, decision support, and case study

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 603ae337-496b-4dea-9c32-9c6923a39c1a · outbound

This paper cites Ranking the spreading influence in complex networks.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Ranking the spreading influence in complex networks

Reference 5

Resolution
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Source-reported events for the cited work

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Observation 47ce9ddc-a20a-4150-83ab-f052f6d5bc05 · outbound

This paper cites Spreading dynamics in complex networks.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Spreading dynamics in complex networks

Reference 6

Resolution
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Source-reported events for the cited work

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Observation b54c9991-ac4b-4cb2-9f00-d3102f86e54c · outbound

This paper cites Using node centrality and optimal control to maximize information diffusion in social networks.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Using node centrality and optimal control to maximize information diffusion in social networks

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 42049705-4ef8-4c35-9776-85e86985b044 · outbound

This paper cites Can passenger flow distribution be estimated solely based on network properties in public transport systems?.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Can passenger flow distribution be estimated solely based on network properties in public transport systems?

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation abf02905-930e-4dfa-995d-ef80f9fb8248 · outbound

This paper cites Node importance corresponds to passenger demand in public transport networks.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Node importance corresponds to passenger demand in public transport networks

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 6e0435ef-a7b3-4b90-933a-37e3278f6d1a · outbound

This paper cites Node centrality in weighted networks: Generalizing degree and shortest paths.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Node centrality in weighted networks: Generalizing degree and shortest paths

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation f90d981b-33a5-4b25-832a-4c067e4fb7ce · outbound

This paper cites Consistency and dif- ferences between centrality measures across distinct classes of networks.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Consistency and dif- ferences between centrality measures across distinct classes of networks

Reference 11

Resolution
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Source-reported events for the cited work

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Observation 9603e0c1-08d7-4703-bfab-a990804530ae · outbound

This paper cites The effects of spatial constraints on the evolution of weighted complex networks.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links The effects of spatial constraints on the evolution of weighted complex networks

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation d8ec38df-7884-4a1c-9d22-9f7ab9dd9f08 · outbound

This paper cites Shortest paths along urban road network peripheries.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Shortest paths along urban road network peripheries

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation d9b2e6dd-f28f-40cd-b6a2-06eba99861ff · outbound

This paper cites Evolution of the periphery of a self-organized road network.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Evolution of the periphery of a self-organized road network

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation b5bfcbfa-a28e-4b09-9b00-44636e5a2f3c · outbound

This paper cites Public transport networks: empirical analysis and modeling.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Public transport networks: empirical analysis and modeling

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 554ee834-7643-48eb-ab90-571aa773a2c3 · outbound

This paper cites Networks containing negative ties.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Networks containing negative ties

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 8033a600-267e-424b-bfe1-0539642bbf3e · outbound

This paper cites Transport network design problem under uncertainty: a review and new developments.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Transport network design problem under uncertainty: a review and new developments

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation a14b3f8b-3dff-4e43-b6e3-d455bc7a3442 · outbound

This paper cites Line planning in public transportation: models and methods.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Line planning in public transportation: models and methods

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 14cd9fee-3ab9-4f77-b950-34a1757d6fff · outbound

This paper cites 50 years of operations research in public transport.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links 50 years of operations research in public transport

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation d4f4c38a-e674-4651-ae5b-98bd816d4ecb · outbound

This paper cites Origin-destination demand prediction of public transit using graph convolutional neural network.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Origin-destination demand prediction of public transit using graph convolutional neural network

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 7a217b0b-0c6e-4367-be6a-35da5ba8bc4a · outbound

This paper cites Modeling the public transport networks: A study of their efficiency.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Modeling the public transport networks: A study of their efficiency

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation a9b327ab-a6f8-44fa-b10c-6c4645f7f693 · outbound

This paper cites Efficient behavior of small-world networks.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Efficient behavior of small-world networks

Reference 22

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 03a50cad-8bd0-4612-a121-21be620b10a3 · outbound

This paper cites Network accessibility as the emergence of cliques.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Network accessibility as the emergence of cliques

Reference 23

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 04c1739f-1e81-4eb9-b497-3fb0d0b5d82c · outbound

This paper cites The complexity and robustness of metro networks.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links The complexity and robustness of metro networks

Reference 24

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation cde392af-14b5-412e-965d-9a160c0b3097 · outbound

This paper cites Metropolitan rail network robustness.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Metropolitan rail network robustness

Reference 25

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 0c0b5108-f884-4433-ba09-f673f16a1530 · outbound

This paper cites A curated data set of l-space representations for 51 metro networks worldwide.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links A curated data set of l-space representations for 51 metro networks worldwide

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation c04639f9-9f75-45c8-bd09-52a584ba9e51 · outbound

This paper cites A curated data set of p-space representations for 51 metro networks worldwide.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links A curated data set of p-space representations for 51 metro networks worldwide

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 7172bb09-32d7-4365-bece-6de937b8d0ca · outbound

This paper cites Faster greedy optimization of resistance-based graph ro- bustness.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Faster greedy optimization of resistance-based graph ro- bustness

Reference 28

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation da66504d-c723-43b2-8f43-9bbf1e0e31f2 · outbound

This paper cites Efficient algorithms for minimizing the kirchhoff index via adding edges.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Efficient algorithms for minimizing the kirchhoff index via adding edges

Reference 29

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 403e5ae8-8d98-437f-9b8c-82d3f8c572fa · outbound

This paper cites Specificity and stability in topology of protein networks.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Specificity and stability in topology of protein networks

Reference 30

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation d9e179dc-001c-4605-8633-c5b0155c48f0 · outbound

This paper cites Constrained randomization of weighted networks.

Weighted complement graphs of spatial networks with functional connections reveal nodes with high potential for new links Constrained randomization of weighted networks

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T12:12:17.330958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Pith citing papers

No inbound Pith citation observations are available.