Paper Citation Record · LEDGER

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$

As of 17 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 4 inbound Pith citation observations for arXiv:2505.03609.

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

pith.paper-citation-record.v1
2505.03609 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:55:37.272262Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:27:44.875857Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T15:28:34.802828Z

Reference resolution

40 of 40 outbound references displayed

verified exact2
verified fuzzy32
unresolved6
parse uncertain0
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External citation measurements

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Outbound references

Observation c12b0ffd-a109-4ea1-82a8-3c2e481c4b9c · outbound

This paper cites Colliander, www.math.toronto.edu/colliand/notes.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Colliander, www.math.toronto.edu/colliand/notes

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:38.010464Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7398bf3a-76f8-4acc-af2c-30243891996e · outbound

This paper cites Colliande, M.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Colliande, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.994761Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0491d670-aac4-440f-ac94-d7c910b1e3ae · outbound

This paper cites Colliander, M.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Colliander, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.980804Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c5810678-8d19-41c3-9cf8-ea33c16871d2 · outbound

This paper cites Da Rios, On the motion of an unbounded fluid with a vortex filament of anyshape, Rend.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Da Rios, On the motion of an unbounded fluid with a vortex filament of anyshape, Rend

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.966602Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 01a7547f-4d73-47d9-b08d-15d6345b33ed · outbound

This paper cites Ding and Y.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Ding and Y

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.951594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 683ff1d8-9fbf-4c1d-ab7e-2b45ca4e4782 · outbound

This paper cites Ding, On the Schr¨ odinger flows, in Proc.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Ding, On the Schr¨ odinger flows, in Proc

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.937547Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7a216e70-5b4d-414b-944b-95befd27028c · outbound

This paper cites Gomez, Binormal motion of curves and surfaces in a manifold, Ph.D.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Gomez, Binormal motion of curves and surfaces in a manifold, Ph.D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.923343Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 306c1fe2-143e-480f-8857-742958829296 · outbound

This paper cites Non-linear Grassmannians as coadjoint orbits.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Non-linear Grassmannians as coadjoint orbits

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:55:37.552729Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 12b3f439-ad11-4966-a211-29d1b4e27fdf · outbound

This paper cites Hasimoto, A soliton on a vortex filament, J.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Hasimoto, A soliton on a vortex filament, J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.909572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9e329720-26b9-4640-962a-f4c71f7431c5 · outbound

This paper cites Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II).

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II)

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T23:55:37.140187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 005512e0-9caa-4059-abd4-c0204adb7089 · outbound

This paper cites Huang, Z.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Huang, Z

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.895538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c1b9fe96-ea43-47a5-a9ec-e213af8af46d · outbound

This paper cites Huang and D.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Huang and D

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.881310Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3dadc077-606f-4155-9d34-c134c2247b07 · outbound

This paper cites Huang and D.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Huang and D

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.867158Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 05753dff-80e7-4ab7-b079-590d62137ab6 · outbound

This paper cites Jerrard, Vortex filament dynamics for Gross-Pitaevsky type equations, Ann.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Jerrard, Vortex filament dynamics for Gross-Pitaevsky type equations, Ann

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.852769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 21cc84c3-933e-41db-8dc0-1396cb014393 · outbound

This paper cites Global solutions for cubic quasilinear Schroedinger flows in two and higher dimensions.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Global solutions for cubic quasilinear Schroedinger flows in two and higher dimensions

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T23:55:37.162066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87e18e07-3fe6-4a47-b30b-8217e9497457 · outbound

This paper cites Khesin, Symplectic structures and dynamics on vortex membranes, Mosc.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Khesin, Symplectic structures and dynamics on vortex membranes, Mosc

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.838310Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 32efa1e2-0c58-42ce-bad3-e21e121a8257 · outbound

This paper cites Kheshin and C.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Kheshin and C

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.824585Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7aaed8c3-2849-4462-9250-092bbcdc2c5f · outbound

This paper cites Lai and Y.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Lai and Y

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.810373Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 159053d7-64e8-459b-98d2-aa0b304fff45 · outbound

This paper cites Li, Global transversal stability of Euclidean planes under skew mean curvature flow evolutions.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Li, Global transversal stability of Euclidean planes under skew mean curvature flow evolutions

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.796227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ceaab7ac-8ac9-49fd-ad12-5e5d69d92727 · outbound

This paper cites Li, Global and local theory of skew mean curvature flows.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Li, Global and local theory of skew mean curvature flows

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.782356Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 04821244-a3c7-4c3c-879d-6bfb56b0fb0d · outbound

This paper cites Lin, Complex Ginzburg-Landau equations and dynamics of vortices, filaments, and codimension-2 submanifolds.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Lin, Complex Ginzburg-Landau equations and dynamics of vortices, filaments, and codimension-2 submanifolds

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.768106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d2393191-28eb-4227-b21d-ccd842035bd7 · outbound

This paper cites Lin, Topological vorticity and geometric conserved motion, Lecture presented at Workshop on Geometric Partial Differential Equations, Institute for Advanced Study, Princeton, 2009.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Lin, Topological vorticity and geometric conserved motion, Lecture presented at Workshop on Geometric Partial Differential Equations, Institute for Advanced Study, Princeton, 2009

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.754257Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5d7f18fc-087d-4d4d-93d4-d09a3c0c23bb · outbound

This paper cites Lin, Rigorous and generalized derivation of vortex line dynamics in superfluids and superconductors, SIAM J.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Lin, Rigorous and generalized derivation of vortex line dynamics in superfluids and superconductors, SIAM J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.740113Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 27b5b5a2-132c-4fce-8305-b18b9623809c · outbound

This paper cites Planchon and L.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Planchon and L

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.725619Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6b1462cc-07dc-422d-acb1-e7cc62a5cd6c · outbound

This paper cites Shao and Y.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Shao and Y

Reference 25

Resolution: verified exact; raw_fallback, observed 2026-08-15T23:55:37.501472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 565bb46b-f3e6-4bf8-9dfe-03d81c6492eb · outbound

This paper cites Shashikanth, Vortex dynamics in R4, J.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Shashikanth, Vortex dynamics in R4, J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.712189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 66e2a857-1b9c-483d-92c2-3fd9b4ce3304 · outbound

This paper cites Song and J.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Song and J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.698095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 541f12e3-dd69-40e0-88ae-58dbafbb832f · outbound

This paper cites Song, Local existence and uniqueness of skew mean curvature flow.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Song, Local existence and uniqueness of skew mean curvature flow

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.683699Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 51f7a4d3-8191-4401-9a51-39f7f2280bca · outbound

This paper cites Staffilani, The theory of nonlinear Schr¨ odinger equations, www.claymath.org.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Staffilani, The theory of nonlinear Schr¨ odinger equations, www.claymath.org

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.668714Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f018120b-4775-4e39-bd20-4d743d9ad329 · outbound

This paper cites Tao, Global regularity of wave maps I.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Tao, Global regularity of wave maps I

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.653973Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a4f35536-81c6-4adf-bd01-119a9c787d82 · outbound

This paper cites Terng, Dispersive geometric curve flows, in Surveys in Differential Geometry 2014.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Terng, Dispersive geometric curve flows, in Surveys in Differential Geometry 2014

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.639566Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 995b294a-0f78-487c-aa28-84b01c667480 · outbound

This paper cites Terng and K.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Terng and K

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.624771Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ef15642e-866b-47e3-b5fe-453eca1fa298 · outbound

This paper cites Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations.

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T23:55:37.240660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a068cf40-6456-48bb-bb05-f0438679386a · outbound

This paper cites Global well-posedness for radial extremal hypersurface equation in $\left(1+3 \right)$-dimensional Minkowski space-time in critical Sobolev space.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Global well-posedness for radial extremal hypersurface equation in $\left(1+3 \right)$-dimensional Minkowski space-time in critical Sobolev space

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-15T23:55:37.245497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6af702d-21c0-463a-ae3f-fcbbe364c169 · outbound

This paper cites Periodic Schr\"odinger map flow on K\"ahler manifolds.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Periodic Schr\"odinger map flow on K\"ahler manifolds

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-15T23:55:37.250110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c57926ed-1281-446d-a5aa-93458617ddea · outbound

This paper cites Wang and Y.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Wang and Y

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.610304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c798a0d6-360d-4ff6-8826-3fc80088d2ff · outbound

This paper cites Vega, The dynamics of vortex flaments with corners.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Vega, The dynamics of vortex flaments with corners

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.596252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a67b5ad8-0fff-49ab-8f56-94378da5f8ac · outbound

This paper cites Visan, The defocusing energy-critical nonlinear Schr¨ odinger equation in higher dimensions, Duke Math.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Visan, The defocusing energy-critical nonlinear Schr¨ odinger equation in higher dimensions, Duke Math

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.581568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c91cc215-c095-431f-9b05-4d87776662ad · outbound

This paper cites Visan and X.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ Visan and X

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:55:37.566915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d70ec9a0-71c6-4121-bbbc-08b5bc9fa384 · outbound

This paper cites 1+2 dimensional radially symmetric wave maps revisit.

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$ 1+2 dimensional radially symmetric wave maps revisit

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-15T23:55:37.272262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation adeac14b-e082-41b4-aa5c-0a3eeaa1ee5b · inbound

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) cites this paper.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T21:07:46.889450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa1b73a4-005f-4184-9359-8e8e7043ae66 · inbound

On Global-in-time Solutions of Incompressible MHD Equations with Small Alfv\'en Numbers cites this paper.

On Global-in-time Solutions of Incompressible MHD Equations with Small Alfv\'en Numbers Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:26:17.902625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a05136d4-baa3-4a79-a626-a5cfe3e99ebf · inbound

Low-regularity Schr\"odinger map flow on high-dimensional periodic domains cites this paper.

Low-regularity Schr\"odinger map flow on high-dimensional periodic domains Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-07-03T15:28:34.804026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6eec1063-b347-42c6-a6d1-2e2c562bc20b · inbound

Spinorial Div-Curl Structure and Bilinear Null-Form Estimates for Dirac Equations cites this paper.

Spinorial Div-Curl Structure and Bilinear Null-Form Estimates for Dirac Equations Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T15:27:44.875857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.