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Paper Citation Record · LEDGER

Rough differential equations and planarly branched universal limit theorem

As of 19 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2412.16479.

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

pith.paper-citation-record.v1
2412.16479 v3

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:41:06.136577Z

measured 33 of 33 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 2026-08-10T17:58:04.984810Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T17:58:05.129656Z

Reference resolution

32 of 32 outbound references displayed

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  • verified fuzzy24
  • unresolved8
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a91fba84-eb34-4913-9cfe-b1bb28018a66 · outbound

This paper cites Aida, Weak Poincare inequalities on domains defined by Brownian rough paths, The Annals of Probability, 32(4) (2004), 3116-3137.

Rough differential equations and planarly branched universal limit theorem Aida, Weak Poincare inequalities on domains defined by Brownian rough paths, The Annals of Probability, 32(4) (2004), 3116-3137

Reference 1

Resolution
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raw_fallback, observed 2026-08-11T10:41:06.778718Z

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.

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Observation dc373c8c-0bf7-441d-8022-c68d5a992c3b · outbound

This paper cites an unresolved cited work.

Rough differential equations and planarly branched universal limit theorem Unresolved cited work

Reference 2

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

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Observation 00885f7c-56fc-4b6f-bab7-daa23e9203c5 · outbound

This paper cites Bruned, M.

Rough differential equations and planarly branched universal limit theorem Bruned, M

Reference 3

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no resolver link, observed 2026-08-11T10:41:05.968606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d78085b6-a9ec-4165-8411-f63859a23771 · outbound

This paper cites Bruned and Y.

Rough differential equations and planarly branched universal limit theorem Bruned and Y

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:41:06.736669Z

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.

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Observation 892dd898-a6bc-4386-bb74-13847fae34c9 · outbound

This paper cites Curry, K.

Rough differential equations and planarly branched universal limit theorem Curry, K

Reference 5

Resolution
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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.

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Observation 5cb0d387-0938-42d6-8f53-5d6e864f2627 · outbound

This paper cites an unresolved cited work.

Rough differential equations and planarly branched universal limit theorem Unresolved cited work

Reference 6

Resolution
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raw_fallback, observed 2026-08-11T10:41:06.706967Z

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.

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Observation 69d5b2d1-aa4a-4363-a78f-5c2a6f9b1631 · outbound

This paper cites Feyel and A.

Rough differential equations and planarly branched universal limit theorem Feyel and A

Reference 7

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

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Observation 80f1a9ff-b98c-49e9-9b5c-6555ac9f7670 · outbound

This paper cites an unresolved cited work.

Rough differential equations and planarly branched universal limit theorem Unresolved cited work

Reference 8

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

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Observation 590b4163-9dd9-484c-a54f-4108d10095ff · outbound

This paper cites an unresolved cited work.

Rough differential equations and planarly branched universal limit theorem Unresolved cited work

Reference 9

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

source=pdf_text observed=2026-08-11T10:41:06.001393Z digest=sha256:d8cdb07ddeda4185a33aebad4def8c76488ff88517db23d4c851879bc8fb518b

Observation 607f9400-0af4-4b88-a543-6239610a8658 · outbound

This paper cites an unresolved cited work.

Rough differential equations and planarly branched universal limit theorem Unresolved cited work

Reference 10

Resolution
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raw_fallback, observed 2026-08-11T10:41:06.625883Z

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.

source=pdf_text observed=2026-08-11T10:41:06.007203Z digest=sha256:0303ac1b05259ea230030e9edfb69bf279e2b9e26930657c6f41199531f68967

Observation ab2dcd5b-d309-4dbd-8e5b-740b8e80eb0c · outbound

This paper cites Gubinelli, Controlling rough paths, Journal of Functional Analysis, 216(1) (2004), 86-140.

Rough differential equations and planarly branched universal limit theorem Gubinelli, Controlling rough paths, Journal of Functional Analysis, 216(1) (2004), 86-140

Reference 11

Resolution
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raw_fallback, observed 2026-08-11T10:41:06.610078Z

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.

source=pdf_text observed=2026-08-11T10:41:06.018505Z digest=sha256:6e5af41472f823902105d1068e1e0adf474b3e5968b4b3e4b1a8268d8af69ba7

Observation b79869bb-b182-480f-bf65-4b476f686491 · outbound

This paper cites Gubinelli, Ramification of rough paths, Journal of Di fferential Equations, 248(4) (2010), 693-721.

Rough differential equations and planarly branched universal limit theorem Gubinelli, Ramification of rough paths, Journal of Di fferential Equations, 248(4) (2010), 693-721

Reference 12

Resolution
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raw_fallback, observed 2026-08-11T10:41:06.595616Z

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.

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Observation 2c2fa186-1889-429b-955b-64faaf038e60 · outbound

This paper cites Geng, An Introduction to the Theory of Rough Paths, https: //researchers.ms.unimelb.edu.au/∼xgge@ unimelb/Files/Notes/Rough Path Theory.pdf 2, 3, 7, 8.

Rough differential equations and planarly branched universal limit theorem Geng, An Introduction to the Theory of Rough Paths, https: //researchers.ms.unimelb.edu.au/∼xgge@ unimelb/Files/Notes/Rough Path Theory.pdf 2, 3, 7, 8

Reference 13

Resolution
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Observation d6965783-761e-4441-8aab-88c6250031ab · outbound

This paper cites Hairer, A theory of regularity structures, Invent.

Rough differential equations and planarly branched universal limit theorem Hairer, A theory of regularity structures, Invent

Reference 14

Resolution
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raw_fallback, observed 2026-08-11T10:41:06.565881Z

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

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Observation 4c233c8c-c4d3-4774-9cbb-42945e444ba8 · outbound

This paper cites Kelly, It ˆo corrections in stochastic equations, Ph.D.

Rough differential equations and planarly branched universal limit theorem Kelly, It ˆo corrections in stochastic equations, Ph.D

Reference 15

Resolution
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raw_fallback, observed 2026-08-11T10:41:06.547246Z

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

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Observation c0a7139d-cfa1-431f-bdaf-e02c43bb98c8 · outbound

This paper cites Flow techniques for non-geometric RDEs on manifolds.

Rough differential equations and planarly branched universal limit theorem Flow techniques for non-geometric RDEs on manifolds

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-11T10:41:06.047346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T10:41:06.047346Z digest=sha256:54c70948f3e85a7bb6887ee6d3f70d1d46c588ef9c9b7d45e3b60a88b0b85a68

Observation 4ba500af-f7a5-41d1-a0a3-51cba9758325 · outbound

This paper cites Ebrahimi-Fard and L.

Rough differential equations and planarly branched universal limit theorem Ebrahimi-Fard and L

Reference 17

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

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Observation 08b6edc9-5140-4930-8e4a-88a9f411da73 · outbound

This paper cites Linares, F.

Rough differential equations and planarly branched universal limit theorem Linares, F

Reference 18

Resolution
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raw_fallback, observed 2026-08-11T10:41:06.510710Z

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.

source=pdf_text observed=2026-08-11T10:41:06.057623Z digest=sha256:8d5d43104fcf5c198f4ea0e0451b2f4065017b7d408d146007d58ae7291a3170

Observation 911640af-48e1-49e3-980d-926b0f9ea921 · outbound

This paper cites Linares, F.

Rough differential equations and planarly branched universal limit theorem Linares, F

Reference 19

Resolution
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raw_fallback, observed 2026-08-11T10:41:06.486328Z

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.

source=pdf_text observed=2026-08-11T10:41:06.068542Z digest=sha256:6d0db6b14d969a1e4c0de7d315d4230e3e72d23470dd088afa23a5a41510c912

Observation e4a9bd74-3651-4f91-8feb-207e189e2d9e · outbound

This paper cites Lyons and Q.

Rough differential equations and planarly branched universal limit theorem Lyons and Q

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:41:06.470731Z

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.

source=pdf_text observed=2026-08-11T10:41:06.072928Z digest=sha256:d07685c4104a240855f1544d5fafec8a35d0586f485a771cee0055a0293a4835

Observation 3fb3cd99-c401-4642-b3a2-1ae308412ee5 · outbound

This paper cites Lyons and Q.

Rough differential equations and planarly branched universal limit theorem Lyons and Q

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:41:06.454830Z

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.

source=pdf_text observed=2026-08-11T10:41:06.076872Z digest=sha256:57a363974c023d7cfc67d641833daafc5b87a0b07b88345f577e4bffabdc0e65

Observation a30258ae-3ef5-4775-8853-e7f193c3b073 · outbound

This paper cites Lyons, Differential equations driven by rough signals, Rev.

Rough differential equations and planarly branched universal limit theorem Lyons, Differential equations driven by rough signals, Rev

Reference 22

Resolution
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raw_fallback, observed 2026-08-11T10:41:06.435216Z

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.

source=pdf_text observed=2026-08-11T10:41:06.081239Z digest=sha256:0cd06052a79317bd63f31fa68364d0613c307148ae43bce17f4ec0674fd47c48

Observation 16ea067f-e8f9-4753-970a-b9fe930693b5 · outbound

This paper cites Lyons and N.

Rough differential equations and planarly branched universal limit theorem Lyons and N

Reference 23

Resolution
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raw_fallback, observed 2026-08-11T10:41:06.414130Z

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.

source=pdf_text observed=2026-08-11T10:41:06.085449Z digest=sha256:19df984d704f1f5b2c249a43f35aba56871cc267f3fce7fc851e66c44a5c0b24

Observation 13bffbb3-c111-44ee-a47f-9d500b3d5b75 · outbound

This paper cites Manchon, Rough paths and Hopf algebras, Journal of Computational Dynamics 12(1) (2025), 160-177.

Rough differential equations and planarly branched universal limit theorem Manchon, Rough paths and Hopf algebras, Journal of Computational Dynamics 12(1) (2025), 160-177

Reference 24

Resolution
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raw_fallback, observed 2026-08-11T10:41:06.397976Z

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

source=pdf_text observed=2026-08-11T10:41:06.090083Z digest=sha256:883d31ba9bebe3c15a954c46c2ea1fc279af818edc1f333a0e8a074864e0eda5

Observation 8db10cfb-3363-48eb-bf09-313079b6bea7 · outbound

This paper cites Malliavin, Stochastic Analysis, Grundlehren der Mathematischen Wissenschaften, 1997.

Rough differential equations and planarly branched universal limit theorem Malliavin, Stochastic Analysis, Grundlehren der Mathematischen Wissenschaften, 1997

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:41:06.376894Z

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.

source=pdf_text observed=2026-08-11T10:41:06.093934Z digest=sha256:97982e98eedd76beeef32678d30845fea747dbe33800b3d208248f49ec458724

Observation 30136b5e-e464-428e-9096-86ee03e5c9b7 · outbound

This paper cites Munthe-Kaas and W.M.

Rough differential equations and planarly branched universal limit theorem Munthe-Kaas and W.M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:41:06.354148Z

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

source=pdf_text observed=2026-08-11T10:41:06.098118Z digest=sha256:853bb1ae5cffa052e610a15a46965c3dfe2badcb26d2b24538350e55fcfaa391

Observation b632ae3a-b768-4b0b-ad60-0696f4699879 · outbound

This paper cites Priola, Davie’s type uniqueness for a class of SDEs with jumps, Annales de l’Institut Henri Poincar ´e, Probabilt´es et Statistiques, 54(2) (2018), 694-725.

Rough differential equations and planarly branched universal limit theorem Priola, Davie’s type uniqueness for a class of SDEs with jumps, Annales de l’Institut Henri Poincar ´e, Probabilt´es et Statistiques, 54(2) (2018), 694-725

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:41:06.331485Z

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.

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Observation 8139b1ff-0586-4c67-95dd-ff1aa63c606d · outbound

This paper cites Tapia and L.

Rough differential equations and planarly branched universal limit theorem Tapia and L

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:41:06.302461Z

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.

source=pdf_text observed=2026-08-11T10:41:06.110721Z digest=sha256:c06362adda40f9ce303728d37ae52130c11e76dd59ad69d30836430268ffd07e

Observation 100de970-d4cd-4e3d-a2a4-e37d4df9fd3c · outbound

This paper cites Wong and M.

Rough differential equations and planarly branched universal limit theorem Wong and M

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:41:06.279372Z

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.

source=pdf_text observed=2026-08-11T10:41:06.115757Z digest=sha256:c8a5b4754e5ac6224ddc8d97e7773977e1bb636beda2ee85869cabf9d7d266f6

Observation e502e981-7227-4950-8bb1-4f8520934625 · outbound

This paper cites Wong and M.

Rough differential equations and planarly branched universal limit theorem Wong and M

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:41:06.253792Z

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.

source=pdf_text observed=2026-08-11T10:41:06.123993Z digest=sha256:066ea07cfe18c32e2da2ff9958866f9aae64fefc9e19f96680355a8f0ce5778f

Observation d9f1be2d-aa10-4683-9ed2-1c1a5b0b7d43 · outbound

This paper cites Yang, A remainder estimate for branched rough di fferential equations, Electron.

Rough differential equations and planarly branched universal limit theorem Yang, A remainder estimate for branched rough di fferential equations, Electron

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:41:06.227630Z

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.

source=pdf_text observed=2026-08-11T10:41:06.131185Z digest=sha256:43afd13968b2de21d15c6040de762e59583d23137baaca5636bd4bd2bffceed7

Observation bcf751b2-ef78-458d-aa43-f34a5381e2b8 · outbound

This paper cites Free Novikov algebras and the Hopf algebra of decorated multi-indices.

Rough differential equations and planarly branched universal limit theorem Free Novikov algebras and the Hopf algebra of decorated multi-indices

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-11T10:41:06.136577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T10:41:06.136577Z digest=sha256:37503ec8a5790f599d7e92cea51c91dfd80986e3402978086912e358d2ef0705

Pith citing papers

Observation 679156e5-f649-4506-b942-958d47c5a3d8 · inbound

It\^o formula for planarly branched rough paths cites this paper.

It\^o formula for planarly branched rough paths Rough differential equations and planarly branched universal limit theorem

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-10T17:58:05.135312Z

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.

source=pdf_text observed=2026-08-10T17:58:04.984810Z digest=sha256:d1acdc9a95b7ec5fb74a7aeb72886b8442eafaee1e00f0ddf11d2d811747c51e