Paper Citation Record · LEDGER

On the local character of the extension of traces for Sobolev mappings

As of 14 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2412.12713.

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

pith.paper-citation-record.v1
2412.12713 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:57:31.230897Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

36 of 36 outbound references displayed

verified exact9
verified fuzzy3
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3888fe2a-51a0-4369-9ff8-28217685c3e2 · outbound

This paper cites Abbondandolo,On the homotopy type of VMO, Topol.

On the local character of the extension of traces for Sobolev mappings Abbondandolo,On the homotopy type of VMO, Topol

Reference 1

Resolution: verified exact; doi, observed 2026-08-11T13:57:31.560533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation acd2d233-af68-4f71-b3ec-955f435fe440 · outbound

This paper cites an unresolved cited work.

On the local character of the extension of traces for Sobolev mappings Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:57:32.165320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation da3fedb1-2270-47dc-903e-148e6f9e8386 · outbound

This paper cites Bethuel,The approximation problem for Sobolev maps between two manifolds, Acta Math.167 (1991), no.

On the local character of the extension of traces for Sobolev mappings Bethuel,The approximation problem for Sobolev maps between two manifolds, Acta Math.167 (1991), no

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.077138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6aba424-2995-45ed-871f-7135380239d9 · outbound

This paper cites Fixed Point Theory Appl.15 (2014), no.

On the local character of the extension of traces for Sobolev mappings Fixed Point Theory Appl.15 (2014), no

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.082540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2912c412-b9b4-45d0-8a53-6d33f9e730d3 · outbound

This paper cites Bethuel and D.

On the local character of the extension of traces for Sobolev mappings Bethuel and D

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.087094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38e2cf8b-0885-4278-9727-c7a42ca3d395 · outbound

This paper cites Bethuel and F.

On the local character of the extension of traces for Sobolev mappings Bethuel and F

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.091518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae3568d6-61c8-4a97-908f-a9b54d162a67 · outbound

This paper cites Bourgain, H.

On the local character of the extension of traces for Sobolev mappings Bourgain, H

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.096720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0dccb5c4-6fdd-44f5-a14a-7ad73004c09f · outbound

This paper cites an unresolved cited work.

On the local character of the extension of traces for Sobolev mappings Unresolved cited work

Reference 8

Resolution: verified exact; doi, observed 2026-08-11T13:57:31.498540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e52900d3-77e2-48f3-82f1-628607f56d54 · outbound

This paper cites Bousquet, A.

On the local character of the extension of traces for Sobolev mappings Bousquet, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:57:32.149729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 94971618-2246-4600-bf01-ba13c60ef19b · outbound

This paper cites Brezis and Y.

On the local character of the extension of traces for Sobolev mappings Brezis and Y

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.110645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecd7a26f-b9a4-411e-8aad-4ee44e9dcc5c · outbound

This paper cites Brezis, Y.

On the local character of the extension of traces for Sobolev mappings Brezis, Y

Reference 11

Resolution: verified exact; doi, observed 2026-08-11T13:57:31.483876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 04edd01d-f1ac-40a1-ac39-3727d8da6ddf · outbound

This paper cites Brezis and P.

On the local character of the extension of traces for Sobolev mappings Brezis and P

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:57:32.133409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6d8de2b6-dc1b-4905-bdea-0215214bd15d · outbound

This paper cites 96, Birkhäuser/Springer, New York, 2021, doi:10.1007/978-1-0716-1512-6.↑4.

On the local character of the extension of traces for Sobolev mappings 96, Birkhäuser/Springer, New York, 2021, doi:10.1007/978-1-0716-1512-6.↑4

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.124664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7c1c7b5-0a2e-4946-b776-8ddb6dd9227e · outbound

This paper cites Brezis and L.

On the local character of the extension of traces for Sobolev mappings Brezis and L

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.129391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0288e7b-3e60-44dd-89a4-7a79cab06834 · outbound

This paper cites II:Compact manifolds with boundaries, Selecta Math.

On the local character of the extension of traces for Sobolev mappings II:Compact manifolds with boundaries, Selecta Math

Reference 15

Resolution: verified exact; doi, observed 2026-08-11T13:57:31.449214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f7b599fa-7b4d-4a91-8910-1515afb50604 · outbound

This paper cites Eells and L.

On the local character of the extension of traces for Sobolev mappings Eells and L

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.138570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a415995a-9561-45c0-86c1-dca26846358b · outbound

This paper cites an unresolved cited work.

On the local character of the extension of traces for Sobolev mappings Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.143212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f17c876e-ab19-44a2-a497-67e9812cc841 · outbound

This paper cites Ferry and S.

On the local character of the extension of traces for Sobolev mappings Ferry and S

Reference 18

Resolution: verified exact; doi, observed 2026-08-11T13:57:31.414742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0ddfbaf5-026e-477c-9fcc-846d387552fe · outbound

This paper cites Fuglede, Extremal length and functional completion , Acta Math.

On the local character of the extension of traces for Sobolev mappings Fuglede, Extremal length and functional completion , Acta Math

Reference 19

Resolution: verified exact; doi, observed 2026-08-11T13:57:31.398401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cb245b21-fdc3-4446-9951-55242a352caa · outbound

This paper cites Gagliardo,Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni inn variabili, Rend.

On the local character of the extension of traces for Sobolev mappings Gagliardo,Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni inn variabili, Rend

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:57:32.117958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3eb3a6c3-74e2-481b-8c54-dc5eca6dd558 · outbound

This paper cites Hang and F.

On the local character of the extension of traces for Sobolev mappings Hang and F

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.162663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10cc7fd5-34ce-4940-9ce9-05817987fb5f · outbound

This paper cites Hardt and F.-H.

On the local character of the extension of traces for Sobolev mappings Hardt and F.-H

Reference 22

Resolution: verified exact; doi, observed 2026-08-11T13:57:31.374021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 20a8ad84-474f-4ff6-b2ce-364574d66b4a · outbound

This paper cites Hélein and J.

On the local character of the extension of traces for Sobolev mappings Hélein and J

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.171742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81be0362-7263-41df-8878-32335c8fae2e · outbound

This paper cites Huang, Y.

On the local character of the extension of traces for Sobolev mappings Huang, Y

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.176343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c288757-9b93-4c09-915c-5d6faa15022f · outbound

This paper cites Isobe, Obstructions to the extension problem of Sobolev mappings, Topol.

On the local character of the extension of traces for Sobolev mappings Isobe, Obstructions to the extension problem of Sobolev mappings, Topol

Reference 25

Resolution: verified exact; doi, observed 2026-08-11T13:57:31.349706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 15568e5f-e97c-4fb9-86b0-b63463fa419b · outbound

This paper cites Leoni, A first course in Sobolev spaces, 2nd ed., Graduate Studies in Mathematics, vol.

On the local character of the extension of traces for Sobolev mappings Leoni, A first course in Sobolev spaces, 2nd ed., Graduate Studies in Mathematics, vol

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.185351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c88acb7d-8aea-41ab-b112-318215895b81 · outbound

This paper cites Mazowiecka and J.

On the local character of the extension of traces for Sobolev mappings Mazowiecka and J

Reference 27

Resolution: verified exact; doi, observed 2026-08-11T13:57:31.325890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation df52789c-340d-4072-aa34-ef878731d9a6 · outbound

This paper cites an unresolved cited work.

On the local character of the extension of traces for Sobolev mappings Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.194318Z

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Unavailable: canonical work link unavailable.

Observation 9b425ecf-f650-4e53-aae1-02d0a9ea8752 · outbound

This paper cites Mironescu and J.

On the local character of the extension of traces for Sobolev mappings Mironescu and J

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.198726Z

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Unavailable: canonical work link unavailable.

Observation 48465ffa-0537-4645-af62-a06b7c5c0747 · outbound

This paper cites an unresolved cited work.

On the local character of the extension of traces for Sobolev mappings Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.203075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 143d9b28-d604-4a29-9db8-5cd0476a179b · outbound

This paper cites Monteil and J.

On the local character of the extension of traces for Sobolev mappings Monteil and J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.207285Z

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Unavailable: canonical work link unavailable.

Observation efbcb092-3a7f-4056-8353-9b2a7294ee87 · outbound

This paper cites Nash,The imbedding problem for Riemannian manifolds, Ann.

On the local character of the extension of traces for Sobolev mappings Nash,The imbedding problem for Riemannian manifolds, Ann

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.212169Z

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Unavailable: canonical work link unavailable.

Observation a59ca622-f7f9-4416-a68a-e2ddd8fdc3e8 · outbound

This paper cites Schoen and K.

On the local character of the extension of traces for Sobolev mappings Schoen and K

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.216804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41ba6960-0743-4a92-b645-48d7c12679d4 · outbound

This paper cites Differential Geom.18 (1983), no.

On the local character of the extension of traces for Sobolev mappings Differential Geom.18 (1983), no

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.221169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc1e57f7-34e8-4870-8fde-9344a65e8855 · outbound

This paper cites The extension of traces for Sobolev mappings between manifolds.

On the local character of the extension of traces for Sobolev mappings The extension of traces for Sobolev mappings between manifolds

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.225773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 908b0eaf-7184-4f20-8b8c-8b084af47876 · outbound

This paper cites White,Homotopy classes in Sobolev spaces and the existence of energy minimizing maps, Acta Math.

On the local character of the extension of traces for Sobolev mappings White,Homotopy classes in Sobolev spaces and the existence of energy minimizing maps, Acta Math

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T13:57:31.230897Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.