Paper Citation Record · LEDGER

Chaos on a High-Dimensional Torus

As of 19 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:1908.06617.

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

pith.paper-citation-record.v1
1908.06617 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:45:33.994703Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:45:33.719208Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T12:45:34.046867Z

Reference resolution

48 of 48 outbound references displayed

verified exact1
verified fuzzy28
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 92e49bb4-2e81-4f70-9f52-b2f60628bbc0 · outbound

This paper cites Berge, Y.

Chaos on a High-Dimensional Torus Berge, Y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.899196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0ef07892-34e6-4ea6-85a5-7af0aa48dedf · outbound

This paper cites Ott, Chaos in dynamical systems (Cambridge univer- sity press, Cambridge, 2002).

Chaos on a High-Dimensional Torus Ott, Chaos in dynamical systems (Cambridge univer- sity press, Cambridge, 2002)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.885909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f2af638e-e99d-49f2-95de-2f32536850d7 · outbound

This paper cites Cencini, F.

Chaos on a High-Dimensional Torus Cencini, F

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.871869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 884e0331-5590-4bc4-86b6-099f3cf97ea7 · outbound

This paper cites Kaneko, Collapse of Tori and Genesis of Chaos in Dissipative Systems (World Scientiﬁc, Singapore, 1986).

Chaos on a High-Dimensional Torus Kaneko, Collapse of Tori and Genesis of Chaos in Dissipative Systems (World Scientiﬁc, Singapore, 1986)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.858105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 50802ae5-eb3d-4982-a143-66ad6e0e8182 · outbound

This paper cites Kuramoto, Chemical Oscillations, Waves, and Turbu- lence (Springer, Berlin, 1984).

Chaos on a High-Dimensional Torus Kuramoto, Chemical Oscillations, Waves, and Turbu- lence (Springer, Berlin, 1984)

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T12:45:33.756313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 911850b3-1721-4cd4-b5b7-e06ab58da6b7 · outbound

This paper cites Stavans, Experimental study of quasiperiodicity in a hydrodynamical system, Phys.

Chaos on a High-Dimensional Torus Stavans, Experimental study of quasiperiodicity in a hydrodynamical system, Phys

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.825787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1dcf89ea-705f-40f2-95ed-2d9f9221f410 · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.806911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b6857fc5-d723-4f5e-bf34-924c5ae10aa4 · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.787353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e48348b0-2ee5-4628-a7ab-46802eaedb65 · outbound

This paper cites Cumming and P.

Chaos on a High-Dimensional Torus Cumming and P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.773025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2631d35f-1ffc-4dab-9077-02d787e4d74f · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.757903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8edeee38-e0aa-40d9-970b-2690cabcd6e9 · outbound

This paper cites Glass and M.

Chaos on a High-Dimensional Torus Glass and M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.740872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d08afeb0-2cd0-478b-af14-55efae1161d6 · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.722047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 347fb54e-81c1-42b8-8292-9f388ad0d889 · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.707411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ace2e3a3-7685-4cb0-a25c-0f41561ad00b · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.684962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f9d87a67-7e38-4d52-8109-ceef85984a51 · outbound

This paper cites Pomeau and P.

Chaos on a High-Dimensional Torus Pomeau and P

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.667805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 21e9d510-06da-437f-bd5f-a6c68afe62c3 · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.650115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6bce02d2-d323-4ac5-92bf-eb31939d5b77 · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.631765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9c2a3696-b4fc-4ddf-9ae6-b301b2fbfab3 · outbound

This paper cites A.Glazier and A.

Chaos on a High-Dimensional Torus A.Glazier and A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.611788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ecd7fa37-7b3f-44f5-84ad-94dda02e6593 · outbound

This paper cites Chaos on a High-Dimensional Torus.

Chaos on a High-Dimensional Torus Chaos on a High-Dimensional Torus

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:45:34.054626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 71b7c9a7-6a6d-48ec-96f0-95a841d28e5f · outbound

This paper cites Kaneko, On the Period-Adding Phenomena at the Fre- quency Locking in a One-Dimensional Mapping, Prog.

Chaos on a High-Dimensional Torus Kaneko, On the Period-Adding Phenomena at the Fre- quency Locking in a One-Dimensional Mapping, Prog

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.595002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9c4846dd-3183-4f1e-9e14-88a8ac1ccbc7 · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.575707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ef9e50e9-a6d6-44ce-bc02-b8ef1580dd16 · outbound

This paper cites On the nature of turbulence,.

Chaos on a High-Dimensional Torus On the nature of turbulence,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.558045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b1022502-3d23-413c-8e76-87df2c751e25 · outbound

This paper cites Newhouse, D.

Chaos on a High-Dimensional Torus Newhouse, D

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.541892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4391d737-9799-4c59-bb4e-ba188bcc1e05 · outbound

This paper cites Turaev, Maps Close to Identity and Universal Maps in the Newhouse Domain, Commun.

Chaos on a High-Dimensional Torus Turaev, Maps Close to Identity and Universal Maps in the Newhouse Domain, Commun

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.527557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8df3d06d-c7f5-469d-a0b7-d30acf8adfb7 · outbound

This paper cites Grebogi, E.

Chaos on a High-Dimensional Torus Grebogi, E

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.510343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 24f46086-721b-4cde-a760-98de77617be8 · outbound

This paper cites Kaneko, Fates of Three-Torus I – Double Devil’s Stair- cases in Lockings, Prog.

Chaos on a High-Dimensional Torus Kaneko, Fates of Three-Torus I – Double Devil’s Stair- cases in Lockings, Prog

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.486569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bd7f2247-9af6-48b4-adf5-b902e4a5ce1b · outbound

This paper cites Baesens, J.

Chaos on a High-Dimensional Torus Baesens, J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.465508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ddf8eac1-2106-4bcb-9c3f-30f41dbebf38 · outbound

This paper cites (1) is regarded as 0 with N = 1.

Chaos on a High-Dimensional Torus (1) is regarded as 0 with N = 1

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.451713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a9dbfd7a-6fc5-4d98-b906-e9352543c584 · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.431756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 17271ee4-eae0-43b9-bab8-550913dc1554 · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.400966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 29d8633d-4003-4509-b214-851815aa430f · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.383314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1e1a31ce-9a7f-400a-b44d-7f67f2edb728 · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.361527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e527135b-b95b-4757-9ec7-334773bdfb19 · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.341668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c66ce71d-aa60-4df9-9316-0282c62a2c4b · outbound

This paper cites Accordingly, the decrease ofT N andT 0 can be ﬁtted byp≃ 0.36 for a = 0.7 and p≃ 0.49 for a = 0.8 [see also Supplemental Material [29], Fig.

Chaos on a High-Dimensional Torus Accordingly, the decrease ofT N andT 0 can be ﬁtted byp≃ 0.36 for a = 0.7 and p≃ 0.49 for a = 0.8 [see also Supplemental Material [29], Fig

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.316207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b3a526f0-ce0c-4fdf-bec9-d8d5fb7b0522 · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.297155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b9a81bee-f3a1-4ef2-b032-5f9de9e0bf8e · outbound

This paper cites Kaneko, Lyapunov Analysis and Information Flow in Coupled Map Lattices, Physica D 23, 436 (1986).

Chaos on a High-Dimensional Torus Kaneko, Lyapunov Analysis and Information Flow in Coupled Map Lattices, Physica D 23, 436 (1986)

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.279565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9ffaa9be-3de2-4258-a09d-01af60b1190d · outbound

This paper cites S2); note there exist ∼0.1N positive Lyapunov exponents, here.

Chaos on a High-Dimensional Torus S2); note there exist ∼0.1N positive Lyapunov exponents, here

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.256318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation deec9df7-7012-4a91-adc5-9c83634b918f · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.235549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f0e161ca-b455-451d-b8e4-46a1180b3aa0 · outbound

This paper cites Grebogi, E.

Chaos on a High-Dimensional Torus Grebogi, E

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.218458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ceb0f376-478a-4fd4-810b-682ec016dbea · outbound

This paper cites Feudel, S.

Chaos on a High-Dimensional Torus Feudel, S

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.202932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 024e27ea-cd0f-4932-a79b-95405e10c519 · outbound

This paper cites Kaneko, Fractalization of Torus, Prog.

Chaos on a High-Dimensional Torus Kaneko, Fractalization of Torus, Prog

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.186481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0ecc4df8-e111-4d71-823e-35b499749403 · outbound

This paper cites Kaneko and I.

Chaos on a High-Dimensional Torus Kaneko and I

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.169437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a5d67f83-d407-48e6-92d2-8936146d11fa · outbound

This paper cites Kaneko, Information cascade with marginal stabil- ity in network of chaotic elements, Physica D 77, 456, (1994).

Chaos on a High-Dimensional Torus Kaneko, Information cascade with marginal stabil- ity in network of chaotic elements, Physica D 77, 456, (1994)

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.153404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 80e0ac9d-be0b-45ca-8eb5-03bd553e323a · outbound

This paper cites Tsuda, Chaotic itinerancy as a dynamical basis of hermeneutics in brain and mind, World Futures 32, 167 (1991).

Chaos on a High-Dimensional Torus Tsuda, Chaotic itinerancy as a dynamical basis of hermeneutics in brain and mind, World Futures 32, 167 (1991)

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.136407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 918400e3-d30f-4eb0-b048-fb32ffccedac · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.118650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ba96d1c2-56ad-4d90-b172-570bfc8b1fb0 · outbound

This paper cites Kay, A challenge to chaotic itinerancy from brain dy- namics, Chaos 13, 1057 (2003).

Chaos on a High-Dimensional Torus Kay, A challenge to chaotic itinerancy from brain dy- namics, Chaos 13, 1057 (2003)

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.103894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d5bd3cd9-e927-42d3-b3f1-8068b1b68563 · outbound

This paper cites an unresolved cited work.

Chaos on a High-Dimensional Torus Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:34.087840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 813a2b9b-5983-4071-a081-20e050c18b49 · outbound

This paper cites Herrero, F.

Chaos on a High-Dimensional Torus Herrero, F

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:34.073135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation ecd7fa37-7b3f-44f5-84ad-94dda02e6593 · inbound