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Paper Citation Record · LEDGER

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map

As of 7 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2506.05060.

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

pith.paper-citation-record.v1
2506.05060 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:43:22.057447Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f6e0a108-d29c-4381-a8c0-8079dc29e21b · outbound

This paper cites Bott and L.

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map Bott and L

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:24.322409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:20.806359Z digest=sha256:d2b54953a5c9839da40388071087594cb6bedaedac38ce33786d751e5d7dd0f7

Observation f372e0bb-1b52-40a5-83bd-a14189dc5dd7 · outbound

This paper cites Haj lasz.

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map Haj lasz

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:24.104962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:20.855126Z digest=sha256:839c47841cedd70dc13ca0e406c3db5c43bc5019b6b47f219c944f7595a05d1c

Observation 35002963-4bdc-4548-971d-c992af5efff1 · outbound

This paper cites Hardt and T.

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map Hardt and T

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:23.854141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:20.968142Z digest=sha256:5a62331a13ee6531961f0015ee4eb78247883375f5effc2a6e13ea89070f50c4

Observation 5780644f-34f6-48be-8920-73252cc6689e · outbound

This paper cites Hatcher.Algebraic topology.

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map Hatcher.Algebraic topology

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:23.693776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:21.092842Z digest=sha256:29e5ee3b31be5f697430d0ad29a3de580da9f313d2e2f4d9042dc2fa039df31d

Observation 84725530-8672-42d6-bbee-63d607c2764e · outbound

This paper cites Mazowiecka and A.

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map Mazowiecka and A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:23.547429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:21.177031Z digest=sha256:d20bbb0da406abc4e1d5dcc8d58005d472b4df11ecabfcbcfe8e1d01deb4dbef

Observation 88beb196-6a98-4a90-9243-335dc912a8b7 · outbound

This paper cites Mazowiecka and A.

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map Mazowiecka and A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:23.400571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:21.283769Z digest=sha256:e094c54947da6f28c0e31e497b3c02904244d2502b14c4bf241148fd502588d4

Observation f2d921f5-8134-44c3-a9c7-57377c288cea · outbound

This paper cites Monteil and J.

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map Monteil and J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:23.249022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:21.408447Z digest=sha256:d46dce37e7a627cead788725287e40b5e05c95a402c49ff8fbb63c8b512a7c06

Observation dd8db94e-b4cb-407c-8c85-a5920a82a13f · outbound

This paper cites Park and A.

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map Park and A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:23.099993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:21.512681Z digest=sha256:3b3176258ddca67957bc49bd70700df2065a745f5814f2b59108b7e69f20dcf4

Observation 42c4f7dd-b7ce-4ee0-aec8-7ad64fa434cc · outbound

This paper cites Rivi` ere.

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map Rivi` ere

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:22.959447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:21.603559Z digest=sha256:5d188acf40fe9021ce661a239fdc1288fc42041174e0e67b2e7193394f0ff1a2

Observation 896fa833-fdb6-4dc4-a0b2-b40152331337 · outbound

This paper cites Sacks and K.

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map Sacks and K

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:22.796071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:21.703360Z digest=sha256:3db248a9953e6337217efd4074e34481d78bfef4ea51127cef1217afb21965d1

Observation c85b5693-35ec-4088-8e21-0ec8fd8deda2 · outbound

This paper cites Schikorra and J.

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map Schikorra and J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:22.640362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:21.804883Z digest=sha256:342448ae3adb99ebd98946e0ab67e6ba9f5a254acc369903a19e60c28823bc64

Observation a9987a5c-a97c-4b48-8799-9a552c495526 · outbound

This paper cites Van Schaftingen.

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map Van Schaftingen

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:22.489806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:21.906740Z digest=sha256:ab61df3202d7f870c18e4184272d17d90e617519e4b28496263da946d0d3d26f

Observation 3f9a7fd2-23c4-42a2-b52c-3680ecf39d3b · outbound

This paper cites an unresolved cited work.

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:43:22.293463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:22.057447Z digest=sha256:e0f77ddbcbe804f788e40b67b4f1c14e8edb5517ee8d4ca59c162392f5ff9c4d

Pith citing papers

No inbound Pith citation observations are available.