Paper Citation Record · LEDGER

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags

As of 13 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2507.07956.

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

pith.paper-citation-record.v1
2507.07956 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:39:02.149690Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

48 of 48 outbound references displayed

verified exact1
verified fuzzy24
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5adc52b5-1ef7-43bd-bfdf-ef38433dab72 · outbound

This paper cites For γ > 0, the communities exhibit seven diﬀerent possible dynamics: (i) The incoherent state with r1 =r2 = 0.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags For γ > 0, the communities exhibit seven diﬀerent possible dynamics: (i) The incoherent state with r1 =r2 = 0

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:15.618635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2e6618ac-b881-4462-8717-6ad02c8ad04a · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:15.431000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 36cf4af6-5217-47cb-842d-5a7656929373 · outbound

This paper cites This is not apparent in Fig.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags This is not apparent in Fig

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:15.206361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3d369f92-8739-4514-8f43-f9ffe760b95d · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:15.012799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8c46f0e8-8362-42d1-abc1-2ffacd77041e · outbound

This paper cites Petri, P.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Petri, P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:14.853453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 50363c9c-1b6b-4153-9950-84c14abaf7df · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:14.593415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2be22534-0c63-453c-81f2-20e524d31a6e · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:14.331201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8d770a7e-b9c1-49bc-9d86-b509e456e433 · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:14.085090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4579a66d-de0d-4849-a1e3-3f923768909f · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:13.847463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5e5a954a-a683-47c1-bcfb-542b21b575c6 · outbound

This paper cites Fujino, B.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Fujino, B

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:13.631859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 94d047d6-1193-48a4-84ce-dee3bf6fc269 · outbound

This paper cites Rohden, M.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Rohden, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:13.399377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 671c928a-0e37-4219-8012-ae7b40c8b87e · outbound

This paper cites Sarfati, J.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Sarfati, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:13.170883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3e91f473-f898-405b-acd8-019637de81b3 · outbound

This paper cites Buck and E.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Buck and E

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:12.973040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a05c8270-e7d0-4f37-a5b6-a1b4cc8c9b43 · outbound

This paper cites D¨ orﬂer, M.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags D¨ orﬂer, M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:12.720341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 11a84543-4970-46a6-972d-0897388997c2 · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:12.490245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 88d933f4-4d36-453f-9ea7-ef60b5ac34f2 · outbound

This paper cites Wiesenfeld, P.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Wiesenfeld, P

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:12.296215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ff6f0386-b975-46fe-99ed-91b7c9569fb2 · outbound

This paper cites Kuramoto, Self-entrainment of a population of coupled non-linear oscillators, in International sympo- sium on mathematical problems in theoretical physics (Springer, 1975) pp.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Kuramoto, Self-entrainment of a population of coupled non-linear oscillators, in International sympo- sium on mathematical problems in theoretical physics (Springer, 1975) pp

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:12.075759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 72fa9eb2-0296-4e3c-83d2-a26a0c0f46fa · outbound

This paper cites Sakaguchi and Y.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Sakaguchi and Y

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:11.890821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 31e70e0a-0526-417d-81a2-5413d32a6d76 · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:11.673198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5bac2f71-e964-459a-a979-d929671cda5f · outbound

This paper cites Gibbs, S.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Gibbs, S

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:11.479197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2df8b84e-575d-4722-bfe2-1124a56af127 · outbound

This paper cites Ashwin and A.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Ashwin and A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:11.284024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a57d2599-d03b-4873-85dd-bfbf545d0766 · outbound

This paper cites Le´ on and D.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Le´ on and D

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:11.059889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a2356c9f-4234-4d29-9321-a83e018c2563 · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:10.230214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f55bbb42-8a23-4455-87ee-2a138005001f · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:07.908955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 556d0fad-6436-4baf-8e38-ca9077da1c38 · outbound

This paper cites Adhikari, J.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Adhikari, J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:07.636193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5f4b7655-6895-42f6-ad22-000ebc0b5129 · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:07.371510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2f2dd5b2-1453-4e8f-a64f-3d0e46ef197e · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:07.132839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5fc04a39-9312-4cb7-ae9b-14eba639cb75 · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:06.880570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4f547dab-2a78-474b-b1ec-89863dccfa89 · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:06.641884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 85dd24f7-4bdc-4df8-ba6c-c99aaa5c732e · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:06.422525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 131885d4-6aa7-4e88-b686-def5ff45ffc8 · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:06.203313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4a838e8c-107b-483f-9006-b6961eaab590 · outbound

This paper cites Dutta, A.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Dutta, A

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:05.984552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d055477c-52e2-4858-be42-e9beeab91080 · outbound

This paper cites Effect of phase-lag on synchronization in adaptive multilayer networks with higher-order interactions.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Effect of phase-lag on synchronization in adaptive multilayer networks with higher-order interactions

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:39:02.404876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f5113672-8b6e-4a95-a095-e655e131aedd · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:05.737273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c963ee57-f7c7-4d4d-974a-116a62de6f59 · outbound

This paper cites Ott and T.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Ott and T

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:05.489717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a5a2ff7f-811e-489a-98fb-c5ccf711936c · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:05.209073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 85f343fb-8e1e-4cb4-a1c2-237196684906 · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:04.955295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7f2a61de-2ee9-4566-8b27-a436a6c943e4 · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:04.627039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 50dd2d7c-0c89-4df0-82db-d3967bb2a6b2 · outbound

This paper cites Geist, U.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Geist, U

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:04.379329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2d74eb13-dc73-442a-944a-6674091c59e3 · outbound

This paper cites Benettin, L.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Benettin, L

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:04.215834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2d742309-eec1-4708-966a-c77d4bb054cb · outbound

This paper cites Frederickson, J.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Frederickson, J

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:04.058122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ffb40c43-9092-48e0-ab4b-c319a5688aac · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:03.831819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8af76bd7-8424-4c11-8143-90caa6d98f54 · outbound

This paper cites Nishikawa and A.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Nishikawa and A

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:03.533384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9c3086a4-60e6-4f9a-9581-a6d748339365 · outbound

This paper cites Ott, Chaos in Dynamical Systems , 2nd ed.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Ott, Chaos in Dynamical Systems , 2nd ed

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T18:39:01.632273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 569e2217-33a1-44af-9cb9-285f9f01f6f6 · outbound

This paper cites an unresolved cited work.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:39:03.266711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6a83e3e0-32fb-43ad-8922-0add1dee9f9b · outbound

This paper cites Eichhorn, S.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Eichhorn, S

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:03.123051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d41c8f77-b2ca-451c-bf12-ee41b06c5570 · outbound

This paper cites Pikovsky and A.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Pikovsky and A

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:02.901026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 05e6075f-d0dd-4a16-ba8a-3c353c48b950 · outbound

This paper cites Wiesenfeld, P.

Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags Wiesenfeld, P

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:39:02.633595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.