Paper Citation Record · LEDGER

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions

As of 7 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2511.15688.

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

pith.paper-citation-record.v1
2511.15688 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T21:27:49.059127Z

measured 19 of 19 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T10:28:49.539211Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

verified exact0
verified fuzzy0
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a6bd4fa2-6b8c-434c-8484-eb9ff9af8ee1 · outbound

This paper cites Majhi, M.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Majhi, M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:47.835798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62f01317-35c7-4166-94cf-0cbf19274901 · outbound

This paper cites an unresolved cited work.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:47.919073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c46d44b1-de6f-4628-81ab-b49c541ea23d · outbound

This paper cites Ferraz de Arruda, A.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Ferraz de Arruda, A

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:47.985962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 586ce911-daaa-4f4a-9be5-5246276f13a8 · outbound

This paper cites Defining and classifying models of groups: The social ontology of higher-order networks.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Defining and classifying models of groups: The social ontology of higher-order networks

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.036927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa44bb9f-be4d-4f41-aed0-8989200f7616 · outbound

This paper cites Iacopini, G.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Iacopini, G

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.117570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67f6841f-0a0b-4cf7-a1e1-bcc3ae4cf6cf · outbound

This paper cites Battiston, C.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Battiston, C

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.179230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd43ad09-0e2d-48b9-a38c-0e8aac1f4f55 · outbound

This paper cites Battiston, E.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Battiston, E

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.246770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 172e2301-74c7-4204-b945-9d923bd7a335 · outbound

This paper cites St-Onge, I.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions St-Onge, I

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.299073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b1a0bda-7d1f-433e-80be-b71214d89b09 · outbound

This paper cites Bret´ on-Fuertes, C.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Bret´ on-Fuertes, C

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.378313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5405e836-20b1-4929-a186-9bae68be8393 · outbound

This paper cites Malizia, S.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Malizia, S

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.498149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c206aa37-6939-4132-9267-75c3aaa72cba · outbound

This paper cites Lamata-Ot ´ ın, F.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Lamata-Ot ´ ın, F

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.566771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e957a8b8-b46a-4314-989d-f41c29122198 · outbound

This paper cites an unresolved cited work.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.643626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1ba66d5-85b1-44d0-9c29-521253e80912 · outbound

This paper cites an unresolved cited work.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.711201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20fe093c-3e6b-43e5-8f43-5771e6fc635f · outbound

This paper cites an unresolved cited work.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.771140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6639edc-e851-454f-aa7f-c47bc4aa2be1 · outbound

This paper cites an unresolved cited work.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.813839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 058bf08d-e937-42ee-b4c4-53fc9152daf9 · outbound

This paper cites an unresolved cited work.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.912779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6af515aa-58b8-4dae-ab1b-ddcafd22525d · outbound

This paper cites Kenah and J.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Kenah and J

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:48.988416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6739ef28-7a81-48e1-b97d-f744e98d727a · outbound

This paper cites an unresolved cited work.

Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T21:27:49.059127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 74b2f0ca-9d63-4537-adb2-f5d2ef587cd2 · inbound

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior cites this paper.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:49.539211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.