Paper Citation Record · LEDGER

Topological singular set of manifold-valued maps weakly approximable by smooth maps

As of 19 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2605.28622.

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

pith.paper-citation-record.v1
2605.28622 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T09:45:31.272703Z

measured 52 of 52 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 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

52 of 52 outbound references displayed

verified exact4
verified fuzzy0
unresolved48
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation fbc5df56-1442-4360-a0e6-991a533e4e75 · outbound

This paper cites Alberti, S.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Alberti, S

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 460a4642-6594-4dcb-86ce-9bbf0ee223e4 · outbound

This paper cites Alberti, S.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Alberti, S

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation cbf32df1-47c4-4a32-af54-7ffac7572e02 · outbound

This paper cites AcharacterizationofmapsinH 1(B3,S 2)whichcanbeapproximatedbysmooth maps.Annales de l’Institut Henri Poincaré.

Topological singular set of manifold-valued maps weakly approximable by smooth maps AcharacterizationofmapsinH 1(B3,S 2)whichcanbeapproximatedbysmooth maps.Annales de l’Institut Henri Poincaré

Reference 3

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Observation a4e2b897-4518-45ac-9531-fe13d2dc3185 · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation c998d607-67e0-472f-9db4-cde8dcf8ea56 · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 9ee33b2b-36da-4ccd-9d4e-680343959e8b · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation bba9718b-0da7-4bcb-8e3b-de01db8efc5f · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 44301aba-645e-427d-8852-88b67cb0f583 · outbound

This paper cites Bethuel and D.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Bethuel and D

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 272f72bd-9437-4017-8449-3e5b1453d6b2 · outbound

This paper cites Bethuel, J.-M.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Bethuel, J.-M

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 0a20ea0f-d544-4702-a777-bed930137793 · outbound

This paper cites Bethuel and F.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Bethuel and F

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation b4227212-e713-4631-ae7b-0560d928401e · outbound

This paper cites Bethuel and X.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Bethuel and X

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 8a2d9e19-08b9-49bb-b0d3-97b7e9b22e18 · outbound

This paper cites Bourgain, H.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Bourgain, H

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 9c034caa-ab70-4440-a97f-9682127c7da0 · outbound

This paper cites Bousquet.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Bousquet

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 4399c56f-39a6-4680-9a0a-a451a3ed36bd · outbound

This paper cites Bousquet, A.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Bousquet, A

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation f992e1f8-22dc-48b4-82df-d172d493f994 · outbound

This paper cites Bousquet, A.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Bousquet, A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation a00e1088-7951-4efa-b209-f9ae75156a05 · outbound

This paper cites Bousquet, A.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Bousquet, A

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 6084adc0-3187-4b80-9b2f-3ea28bf5f0f0 · outbound

This paper cites Generic topological screening and approximation of Sobolev maps.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Generic topological screening and approximation of Sobolev maps

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-06-29T09:53:17.566665Z

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

Observation 422d9b01-3b3a-441a-bd0d-6387d7b79aba · outbound

This paper cites Brezis and P.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Brezis and P

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 9423588a-68a0-4efe-b987-ce0624c3ba78 · outbound

This paper cites Brezis and L.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Brezis and L

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 2f568615-4228-4780-b7ad-818c45a45000 · outbound

This paper cites Brezis and L.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Brezis and L

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 3d529469-a8fb-42af-9e72-dee2065d6d96 · outbound

This paper cites $\Gamma$-convergence of the $p$-Dirichlet energy for manifold-valued maps.

Topological singular set of manifold-valued maps weakly approximable by smooth maps $\Gamma$-convergence of the $p$-Dirichlet energy for manifold-valued maps

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-06-29T09:53:17.563721Z

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

Observation 561ad848-3918-4979-ad26-8218ef95d819 · outbound

This paper cites Canevari and G.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Canevari and G

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 81f5a7de-6306-4b54-a7a3-d1abcb130230 · outbound

This paper cites Canevari and G.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Canevari and G

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 769a081a-20fd-49ad-b648-a63fba28c124 · outbound

This paper cites Coercivity and Gamma-convergence of the $p$-energy of sphere-valued Sobolev maps.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Coercivity and Gamma-convergence of the $p$-energy of sphere-valued Sobolev maps

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-06-29T09:53:17.566504Z

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

Observation 94b7a40b-20bf-44fe-bd7f-cca6863e71be · outbound

This paper cites Chemin, F.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Chemin, F

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 4b29e681-2e66-4a9c-9f37-9375a2459c9c · outbound

This paper cites De Pauw and R.

Topological singular set of manifold-valued maps weakly approximable by smooth maps De Pauw and R

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 430f60c9-b6d0-42de-bf69-be70324fba95 · outbound

This paper cites Detaille.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Detaille

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation aece2c29-9744-4107-bb2d-de85c7a77a6e · outbound

This paper cites Analytical obstructions to the weak approximation of Sobolev mappings into manifolds.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Analytical obstructions to the weak approximation of Sobolev mappings into manifolds

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-06-29T09:53:17.561023Z

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

Observation 7ba4041e-38c2-415f-8d0b-5d25c5f588c2 · outbound

This paper cites Eells and L.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Eells and L

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation e687d21a-f757-444e-b49e-bf896ccecb9a · outbound

This paper cites Federer.Geometric measure theory.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Federer.Geometric measure theory

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 2a421424-b4a9-4639-a951-5c2df632f082 · outbound

This paper cites Federer and W.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Federer and W

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation c7b4d9c6-081b-4f8a-91af-293b8e382a93 · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation bffa7fae-2650-43c3-bca2-fa19bf73d6c0 · outbound

This paper cites Giaquinta, G.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Giaquinta, G

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation fb2e43d1-2922-439c-8d5d-1c5ce6cb4973 · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation b68a3d32-765e-45b3-8405-e9b424463c1b · outbound

This paper cites Hang and F.-H.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Hang and F.-H

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation a2af9bc7-819f-4bc3-b2b2-3ec8dad8d52a · outbound

This paper cites Hardt, D.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Hardt, D

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation d4954db4-0878-4ca3-944e-b52b6c87b53a · outbound

This paper cites Hardt and T.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Hardt and T

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 2f7c8676-7099-490e-9bfa-3ac3199abe87 · outbound

This paper cites Hélein and J.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Hélein and J

Reference 38

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Observation 5712a7d1-0630-469f-9656-6f2710d640ad · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 1af876b6-b5f8-4dd9-b69f-a59497b5059a · outbound

This paper cites Luckhaus.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Luckhaus

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 1c82e112-86da-40fb-bcb4-4cc152baa120 · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 9a206e96-5728-4819-96e3-294f0ededcc7 · outbound

This paper cites Mironescu and J.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Mironescu and J

Reference 42

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Observation 139acf2e-2da7-4dec-ad06-58354fe4b736 · outbound

This paper cites Mironescu and J.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Mironescu and J

Reference 43

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 75ca3e11-f214-46d1-80c1-a8dae197582d · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 0216aa84-e7be-4d2f-90ec-1241f50da020 · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 2b389b8c-429e-4149-8905-64ecf73255d1 · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation e71cb234-008d-45d0-a3f8-504d1bcffb9c · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 47

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 433d457d-b9ea-477c-b60c-fdf94bce3887 · outbound

This paper cites Schoen and K.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Schoen and K

Reference 48

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation a7f98d73-d5a1-48b6-aed7-1de2c2f6896e · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 49

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation b8d63311-921b-47d9-b05a-0efaa3c166d9 · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 50

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation 1fa296f1-a6dd-4fc4-bc29-f4c1e9a8feb4 · outbound

This paper cites an unresolved cited work.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Unresolved cited work

Reference 51

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Observation c6a9425a-efd2-41a1-a305-423bd3f4c3dd · outbound

This paper cites Whitney.Geometric integration theory.

Topological singular set of manifold-valued maps weakly approximable by smooth maps Whitney.Geometric integration theory

Reference 52

Resolution: unresolved; no resolver link, observed 2026-06-29T09:45:31.272703Z

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Pith citing papers

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