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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 10 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 2026-08-09T06:31:02.800959+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

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:43:20.806359Z digest=sha256:1f8d6e45c599687ef77d8a93d35b1f72d9b624f5eb000945158a042008e23216

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:43:20.855126Z digest=sha256:7bd4384a27db7f000facc3f6f879487c3bcc9f3170056f59b28832db0b9ab8ad

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:43:20.968142Z digest=sha256:58c95bdde411f0a576bdf35605dc6a08f11a2cab7d82486e55f5bd5f262820d1

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:43:21.092842Z digest=sha256:1fe570dcc9fed86f60979ad2e9101b97ad8b53255409d515c2aa084acd8afeb0

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:43:21.177031Z digest=sha256:85abcadcc77c31506c244f1b69541b78c9a5554d902f0d222513bf4cf2e2a27b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:43:21.283769Z digest=sha256:3c1a1221a23b8aa1462ab4e02cab5aa225ca53073b4fc653923646d2b79449c9

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:43:21.408447Z digest=sha256:6248ae3f55c00047591535cee5f114bcf352fca1bc1e173b041bb9722433873c

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:43:21.512681Z digest=sha256:b24c7cd5fa02cb2f2b6f7b616380463fd4cf251bf9f1f27d7a927f09fa592fb8

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:43:21.603559Z digest=sha256:0cb2e7867854fe33620ed38413ddeaadfc0f0a3278c80a5a28a8173ad3e943b3

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:43:21.703360Z digest=sha256:1a125d95f0746e1d747d0f9e8a64f578dc5452e35c218954691162e5eff507cd

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:43:21.804883Z digest=sha256:58bf6d9170dff7f0cda1babc45fab57f9521a9b8e83fd322ef22223eb6669e35

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:43:21.906740Z digest=sha256:e876a343a17ccb36c21f6c05a8d8fb1eaa123082be32cfebb2fdfd469b5a3a4c

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:43:22.057447Z digest=sha256:a006fd22d02d29e0ce1a5c56d4c2a1c594b7b0a6d5c906fb91e57bd7202b4500

Pith citing papers

No inbound Pith citation observations are available.