Paper Citation Record · LEDGER

Cascades on Networks with Functional Structure

As of 9 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2505.24631.

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

pith.paper-citation-record.v1
2505.24631 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:28:23.873635Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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 exact12
verified fuzzy3
unresolved11
parse uncertain0
malformed identifier6
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 74e57131-d5ee-479d-8e0f-72c5e8c59486 · outbound

This paper cites Error and attack tolerance of complex networks.

Cascades on Networks with Functional Structure Error and attack tolerance of complex networks

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T12:28:20.786784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5d87dfd-1d42-4a65-ae73-211df46ee5e2 · outbound

This paper cites Athreya and Peter E.

Cascades on Networks with Functional Structure Athreya and Peter E

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:28:27.656310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 12208a78-1dc2-4242-b794-4683b65bc586 · outbound

This paper cites The new chal- lenges of multiplex networks: Measures and models.

Cascades on Networks with Functional Structure The new chal- lenges of multiplex networks: Measures and models

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:28:27.455476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 12951929-ed31-4f2b-b630-7c6122d07360 · outbound

This paper cites Financial networks and stress testing: Challenges and new research avenues for systemic risk analysis and financial stability implications.

Cascades on Networks with Functional Structure Financial networks and stress testing: Challenges and new research avenues for systemic risk analysis and financial stability implications

Reference 4

Resolution: verified exact; doi, observed 2026-08-07T12:28:26.061723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f24a0d2c-b3f5-40b3-b977-bdda89b57b9e · outbound

This paper cites The structure and dynamics of multilayer networks.

Cascades on Networks with Functional Structure The structure and dynamics of multilayer networks

Reference 5

Resolution: malformed identifier; no resolver link, observed 2026-08-07T12:28:21.212817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 396b61a6-cb4a-413c-b8e4-10291fa694a4 · outbound

This paper cites Multiplexity-facilitated cascades in networks.

Cascades on Networks with Functional Structure Multiplexity-facilitated cascades in networks

Reference 6

Resolution: verified exact; doi, observed 2026-08-07T12:28:25.920331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 419f9b25-18e8-42ce-86ae-72a96f1c6722 · outbound

This paper cites The Spread of Behavior in an Online Social Network Experiment.

Cascades on Networks with Functional Structure The Spread of Behavior in an Online Social Network Experiment

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:28:27.288669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 18267b12-a241-4275-a982-1bc04907b168 · outbound

This paper cites Zero-temperature hysteresis in the random-field Ising model on a Bethe lattice.

Cascades on Networks with Functional Structure Zero-temperature hysteresis in the random-field Ising model on a Bethe lattice

Reference 8

Resolution: verified exact; doi, observed 2026-08-07T12:28:25.770338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f9e50f6c-2c34-4762-848a-a4dbeedd656c · outbound

This paper cites Quantifying firm-level economic systemic risk from nation-wide supply networks.

Cascades on Networks with Functional Structure Quantifying firm-level economic systemic risk from nation-wide supply networks

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T12:28:21.557767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 444abed6-ac16-459f-b160-65ac83fc4ac0 · outbound

This paper cites Cascades on correlated and modular random net- works.

Cascades on Networks with Functional Structure Cascades on correlated and modular random net- works

Reference 10

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T12:28:27.116233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 58f7e1ba-b16f-420a-953f-8c89bef2fbf2 · outbound

This paper cites Mean size of avalanches on directed random networks with arbitrary degree distributions.

Cascades on Networks with Functional Structure Mean size of avalanches on directed random networks with arbitrary degree distributions

Reference 11

Resolution: verified exact; doi, observed 2026-08-07T12:28:25.517114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bf4b2511-8a96-4c3e-9a98-e8622fb60207 · outbound

This paper cites Seed size strongly affects cascades on random networks.

Cascades on Networks with Functional Structure Seed size strongly affects cascades on random networks

Reference 12

Resolution: verified exact; doi, observed 2026-08-07T12:28:25.240831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 72fdf5e1-943c-4210-ae1e-4389b8fff5d9 · outbound

This paper cites an unresolved cited work.

Cascades on Networks with Functional Structure Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:28:26.942199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a7fc256d-abf8-41b7-809a-93c356381830 · outbound

This paper cites Firm-level propagation of shocks through supply-chain networks.

Cascades on Networks with Functional Structure Firm-level propagation of shocks through supply-chain networks

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T12:28:22.052170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8163dbc8-5d0a-4b72-a62a-d598f8479412 · outbound

This paper cites How Structured Is the Entangled Bank? The Surprisingly Simple Organization of Multiplex Ecological Networks Leads to Increased Persistence and Resilience.

Cascades on Networks with Functional Structure How Structured Is the Entangled Bank? The Surprisingly Simple Organization of Multiplex Ecological Networks Leads to Increased Persistence and Resilience

Reference 15

Resolution: verified exact; doi, observed 2026-08-07T12:28:24.984616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6d5f21ee-a94f-47a7-ab5c-a42e5ba66aa2 · outbound

This paper cites A universal route to explosive phe- nomena.

Cascades on Networks with Functional Structure A universal route to explosive phe- nomena

Reference 16

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T12:28:26.730219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ed637961-2941-45c3-b592-3329bd0e4fcb · outbound

This paper cites Kuznetsov.

Cascades on Networks with Functional Structure Kuznetsov

Reference 17

Resolution: malformed identifier; no resolver link, observed 2026-08-07T12:28:22.401054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16dff43f-96a7-4a68-84b8-19a4aef723ad · outbound

This paper cites Threshold cascades with response heterogeneity in multiplex networks.

Cascades on Networks with Functional Structure Threshold cascades with response heterogeneity in multiplex networks

Reference 18

Resolution: malformed identifier; no resolver link, observed 2026-08-07T12:28:22.492801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85205e01-06b3-4a3c-8a0b-a3a74556b57f · outbound

This paper cites Cascade-based attacks on com- plex networks.

Cascades on Networks with Functional Structure Cascade-based attacks on com- plex networks

Reference 19

Resolution: verified exact; doi, observed 2026-08-07T12:28:24.802112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0db24b61-0252-4ccd-b1f4-ffdc4c737b2d · outbound

This paper cites Message passing methods on complex networks.

Cascades on Networks with Functional Structure Message passing methods on complex networks

Reference 20

Resolution: verified exact; doi, observed 2026-08-07T12:28:24.597354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 28bf1b5f-8170-4ace-aced-8d55dbe5c63f · outbound

This paper cites Random graphs with arbitrary degree distributions and their applications.

Cascades on Networks with Functional Structure Random graphs with arbitrary degree distributions and their applications

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T12:28:22.811137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a1ecdf1-f1b8-41da-b37a-96bb92bd7f8b · outbound

This paper cites Measuring and modeling correlations in multiplex networks.

Cascades on Networks with Functional Structure Measuring and modeling correlations in multiplex networks

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T12:28:22.930551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24368b7d-dcbb-4977-b672-43f655658761 · outbound

This paper cites Epidemic Spread- ing in Scale-Free Networks.

Cascades on Networks with Functional Structure Epidemic Spread- ing in Scale-Free Networks

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T12:28:23.052798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4ad8d88-77d7-47f1-bf62-e2acf3345c8e · outbound

This paper cites an unresolved cited work.

Cascades on Networks with Functional Structure Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:28:26.585644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5751f6fe-4baa-4b83-a910-300f14e6e8e8 · outbound

This paper cites Message-passing approach for threshold models of behavior in networks.

Cascades on Networks with Functional Structure Message-passing approach for threshold models of behavior in networks

Reference 25

Resolution: verified exact; doi, observed 2026-08-07T12:28:24.361260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 21440df8-3a3a-4bdf-a53b-c4cbe4c2770b · outbound

This paper cites Properties of random graphs with hidden color.

Cascades on Networks with Functional Structure Properties of random graphs with hidden color

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T12:28:23.434963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2ced2cc-8dcb-49f9-b5c0-998c5845ed48 · outbound

This paper cites Reentrant phase transitions in threshold driven contagion on multiplex networks.

Cascades on Networks with Functional Structure Reentrant phase transitions in threshold driven contagion on multiplex networks

Reference 27

Resolution: verified exact; doi, observed 2026-08-07T12:28:24.190949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 55a74597-0c25-4eee-8740-ad9d34012317 · outbound

This paper cites A simple model of global cascades on random net- works.

Cascades on Networks with Functional Structure A simple model of global cascades on random net- works

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T12:28:23.656652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c358658-28e3-4bc4-b833-ecb7b5956b3b · outbound

This paper cites Analysis of complex contagions in ran- dom multiplex networks.

Cascades on Networks with Functional Structure Analysis of complex contagions in ran- dom multiplex networks

Reference 29

Resolution: verified exact; doi, observed 2026-08-07T12:28:24.038913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 07426601-2f87-4f52-a4a4-e1ba4cc56d15 · outbound

This paper cites Clustering determines the dynamics of complex contagions in multiplex networks.

Cascades on Networks with Functional Structure Clustering determines the dynamics of complex contagions in multiplex networks

Reference 30

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T12:28:26.413417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a1ff6213-05f1-41b8-983d-56aa0c85f2ae · outbound

This paper cites doi: 10.1007/0-387-32792-4.

Cascades on Networks with Functional Structure doi: 10.1007/0-387-32792-4

Reference 1981

Resolution: unresolved; no resolver link, observed 2026-08-07T12:28:23.226529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a2cdc0f-34c1-4c25-b2aa-c0ac96c110ca · outbound

This paper cites an unresolved cited work.

Cascades on Networks with Functional Structure Unresolved cited work

Reference 6401

Resolution: verified exact; doi, observed 2026-08-07T12:28:26.243822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.