Paper Citation Record · LEDGER

The sharp curl-Sobolev inequality

As of 9 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2607.23827.

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

pith.paper-citation-record.v1
2607.23827 v2

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T04:16:09.015411Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

45 of 45 outbound references displayed

verified exact1
verified fuzzy0
unresolved44
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4d228571-6f1e-48ea-aa97-d49b4c885df7 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.923552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69647ab3-0116-47ac-a46f-af634e9bdfb5 · outbound

This paper cites Aratyn, L.

The sharp curl-Sobolev inequality Aratyn, L

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.926718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 924404a5-68b8-450e-9782-e88890a10b34 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.929290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58566854-dfc0-4a81-b450-6920881b467d · outbound

This paper cites Higher order Weyl coefficients for the operator curl.

The sharp curl-Sobolev inequality Higher order Weyl coefficients for the operator curl

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.931680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 660ffaa7-90e7-4d0b-8c27-fcf6fd0414a2 · outbound

This paper cites Cantarella, D.

The sharp curl-Sobolev inequality Cantarella, D

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.934205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 465d8de0-adc5-4843-8b77-93f24fe9e700 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.936308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be6b80e0-d975-4aba-81b9-df530d8f4652 · outbound

This paper cites Colbois and A.

The sharp curl-Sobolev inequality Colbois and A

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.938611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7da48d0-a1a7-4b41-a2c8-b9b9f7be2574 · outbound

This paper cites Del Pino and J.

The sharp curl-Sobolev inequality Del Pino and J

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.940520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28a11623-072d-4730-b1df-58b2a77af4c9 · outbound

This paper cites El Soufi and S.

The sharp curl-Sobolev inequality El Soufi and S

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.942437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29fbf6ad-cb6d-4989-940a-f314889e136f · outbound

This paper cites Enciso, W.

The sharp curl-Sobolev inequality Enciso, W

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.944943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36f3c78c-2e74-4add-a230-2dc4e9b3b4f8 · outbound

This paper cites Enciso, W.

The sharp curl-Sobolev inequality Enciso, W

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.946932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffe8d785-6c6d-403c-bb91-bc51061d47b2 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.949507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91f60fec-1106-46f5-a3e1-b80dddf22442 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.951404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 940c19a7-388c-4b87-b81b-4b39b6ffac32 · outbound

This paper cites Figalli and Y.

The sharp curl-Sobolev inequality Figalli and Y

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.953448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67e72df3-de9e-42c8-b555-47b01df2ca0d · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.955948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20a42085-db38-4c81-b2bb-6a28605f92f6 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.957801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b778ee2-725e-43f9-85b5-eac4a8af160e · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.959702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8598901-6dbc-422d-9942-14a388f80e54 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.961527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a35c2345-3106-48fd-9aab-71d9f90789e1 · outbound

This paper cites Guerra, X.

The sharp curl-Sobolev inequality Guerra, X

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.963465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7968e14a-aecf-4d26-9735-a90eaa9bcfb6 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.965621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbfa0cbb-50bb-495b-bac9-75c089f33c29 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.967572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de73227e-f866-4d61-bbc5-2c7d4bf0f0df · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.969437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7023e904-69d2-4ba9-9648-666826f2dac1 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 23

Resolution: verified exact; doi, observed 2026-08-04T04:19:13.393273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1a4eb05f-2d68-422b-86a1-b275e3c9b509 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.973755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d338761-fc22-486a-ac14-c34d35137a6c · outbound

This paper cites Julio-Batalla.

The sharp curl-Sobolev inequality Julio-Batalla

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.975665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9818196-255c-49d5-8b5c-076d24dd11a9 · outbound

This paper cites Kundu and Y.

The sharp curl-Sobolev inequality Kundu and Y

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.977490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b5051af-9574-4552-8f95-1bd733a2d33d · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.979488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 200c83a2-8bdc-4ad1-b1ca-4363978fd009 · outbound

This paper cites Lin and Y.

The sharp curl-Sobolev inequality Lin and Y

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.981330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69c6abbc-7798-4935-90d8-e72af0f90328 · outbound

This paper cites Lin and Y.

The sharp curl-Sobolev inequality Lin and Y

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.983208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdcbc5ca-e78a-40b3-b118-e8eb29805468 · outbound

This paper cites Loss and H.

The sharp curl-Sobolev inequality Loss and H

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.985282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2af86cc-df0f-4350-a4ea-68b34ca27bbb · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.987183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1359b118-5fe9-416d-a2f3-9fec19cce29b · outbound

This paper cites Mederski and A.

The sharp curl-Sobolev inequality Mederski and A

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.989440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a7b5874-0b88-4f8c-bcce-3e25b8a74dbf · outbound

This paper cites The Isoperimetric Problem for the Curl Operator.

The sharp curl-Sobolev inequality The Isoperimetric Problem for the Curl Operator

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.991343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc884aa5-3e48-4ef6-9976-932f093a235e · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.993459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71dfd2d0-1d49-4f2c-a740-463bfd63435e · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.995608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f2b6958-232f-4e3c-850e-87d3cedf6972 · outbound

This paper cites Rivi` ere.

The sharp curl-Sobolev inequality Rivi` ere

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.997451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 372795c2-1159-447e-9d7d-d0c754d85379 · outbound

This paper cites Rivi` ere.

The sharp curl-Sobolev inequality Rivi` ere

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:08.999550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9092a11-f466-4bfc-a48b-57d696618437 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:09.001432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebf846cd-1db5-4659-ae80-4fec43f9de25 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:09.003282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa3542fd-d3e5-448b-bc2f-83de1bd23dd7 · outbound

This paper cites Sutcliffe.

The sharp curl-Sobolev inequality Sutcliffe

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:09.005374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc52d50e-9b69-4dec-8a4b-cd838ca3d72d · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:09.007387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5dde1328-01de-4961-b1ba-eb432b7315c2 · outbound

This paper cites Wang and M.

The sharp curl-Sobolev inequality Wang and M

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:09.009263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a40bb6a-3968-4cbb-a6a8-ded363ab30b7 · outbound

This paper cites On the sharp constants in curl-Sobolev inequalities on $\mathbb{S}^n$.

The sharp curl-Sobolev inequality On the sharp constants in curl-Sobolev inequalities on $\mathbb{S}^n$

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:09.011061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3733b9fb-749c-426d-b91a-1f868c487e06 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:09.013286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f8e4921-7c69-43ed-a0cb-5fc697b95775 · outbound

This paper cites an unresolved cited work.

The sharp curl-Sobolev inequality Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-04T04:16:09.015411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.