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Paper Citation Record · LEDGER

The $\sigma_k$-Yamabe problem revisited

As of 11 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2605.05414.

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

pith.paper-citation-record.v1
2605.05414 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-20T23:06:51.334165Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

34 of 34 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d470b0b1-a53f-4d68-ae5c-e1c168815cc4 · outbound

This paper cites an unresolved cited work.

The $\sigma_k$-Yamabe problem revisited Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-20T23:09:13.592745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation dd51ec5d-4856-43ce-a91d-53e5aea5baa0 · outbound

This paper cites Math.170(2007), no.

The $\sigma_k$-Yamabe problem revisited Math.170(2007), no

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.588234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:d3baa4808c62ae4c95c045a39530f39cb20253889e2d3c18094f5f36a3bbe63a

Observation a36b59b3-985d-4d48-934d-a4bb5119a2d8 · outbound

This paper cites Math.223(2010), no.

The $\sigma_k$-Yamabe problem revisited Math.223(2010), no

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.584048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:36fc2995c598b191e1b4421e120757d365370f0f2539519c60e8bfe26846d680

Observation 66aee008-e694-4ae3-b5a5-e6a4f414b678 · outbound

This paper cites Chang, Matthew Gursky, and Siyi Zhang,A conformally invariant gap theorem charac- terizingCP 2 via the Ricci flow, Math.

The $\sigma_k$-Yamabe problem revisited Chang, Matthew Gursky, and Siyi Zhang,A conformally invariant gap theorem charac- terizingCP 2 via the Ricci flow, Math

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.580136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:6b12f2f07cb2539fd6f3b9dee4e964790c8a48fd86a9a55ff81eb40d003d1479

Observation 5ebfd9cb-a5c2-4db8-8b05-0c347c323b5e · outbound

This paper cites Chang, Matthew J.

The $\sigma_k$-Yamabe problem revisited Chang, Matthew J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.575648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:2c832dc5fb6cc904b67385cf32c53e1c7ef8d3754347af6221ceaa9a1a828b81

Observation 08b3f2ff-8b4a-4e68-b406-24042a04e774 · outbound

This paper cites an unresolved cited work.

The $\sigma_k$-Yamabe problem revisited Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-20T23:09:13.571522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:67360da93ec9d78b4b3a0af15ccbca1ceee9cc2a4b4c562033c550d231edcef4

Observation c630f22c-589b-4ec5-92f4-0f46db41caee · outbound

This paper cites Yang,The inequality of Moser and Trudinger and applications to conformal geometry, Comm.

The $\sigma_k$-Yamabe problem revisited Yang,The inequality of Moser and Trudinger and applications to conformal geometry, Comm

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.557623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:614f8e223eebf89e332a0196ecb0c4ba9a40320b9624a581cd75db35a9c74815

Observation 66ea45bd-4be2-4234-9a6f-b43bdee74755 · outbound

This paper cites an unresolved cited work.

The $\sigma_k$-Yamabe problem revisited Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-20T23:09:13.547943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:55fc7e299422b4f02c197e3fc305148ba035aad0bbde0120f03b63d57fa10b8b

Observation e2d9a6f7-5d33-4ff2-ad91-87f818b052fa · outbound

This paper cites Differential Geom.84 (2010), no.

The $\sigma_k$-Yamabe problem revisited Differential Geom.84 (2010), no

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.539707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:e86ca75a77d8a4ef3724fa1ddcdf637cda125d34e227985f0fd8e5a725bc4da4

Observation 23fc564c-8d52-422b-8b6a-dd275927a55c · outbound

This paper cites an unresolved cited work.

The $\sigma_k$-Yamabe problem revisited Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-20T23:09:13.543931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:5930f5521b7f1879301703ef83fe13b800cd86deca35379ad0178cd869c2da88

Observation 1fd069b0-c31f-4376-a014-c83a13afb0ce · outbound

This paper cites an unresolved cited work.

The $\sigma_k$-Yamabe problem revisited Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-20T23:09:13.531404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:1908f9d7ee84a68b3bec6a6b5fdf67ca74f36478d576ebd17e89a473ae3727a5

Observation e4e8990c-8aa2-446c-b1e9-cb0be2f1327d · outbound

This paper cites Math.249(2013), 131–160.

The $\sigma_k$-Yamabe problem revisited Math.249(2013), 131–160

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.535597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:1ef5b6b095f8a13c5c5ce4ccf27c2b551227835fe94706a43b04445e356c1e00

Observation 2daa3021-1cef-498c-b1eb-de97de03da05 · outbound

This paper cites II, Comm.

The $\sigma_k$-Yamabe problem revisited II, Comm

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.526820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:92980e7ab38a3a066be260b915d20dfdc29dbb7aab6778e262ed2a93ca079bcf

Observation cd86c946-ab50-4b49-b9e7-252179783c83 · outbound

This paper cites an unresolved cited work.

The $\sigma_k$-Yamabe problem revisited Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-20T23:09:13.522669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:3e2ef90bc8a4747ad4053f603e33d68aa250c8bed73fd979df5c3304884dadee

Observation 9d594902-c55e-4a29-8cf9-0550629ff0c0 · outbound

This paper cites an unresolved cited work.

The $\sigma_k$-Yamabe problem revisited Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-20T23:09:13.518630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:368d2ad29a025931f6b3d1586ab6d6b6285192c67a1ca99835527fe51eaf6930

Observation f9923ffb-d80a-4f49-bffa-9c76f1b5b2e3 · outbound

This paper cites Z.247(2004), no.

The $\sigma_k$-Yamabe problem revisited Z.247(2004), no

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.597132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:a9267e92d1720812e5b1de8140f2ddbada27f671e451ebc786a1937eb3c558b8

Observation a762436f-b98b-4820-92ae-6751d11471e5 · outbound

This paper cites Reine Angew.

The $\sigma_k$-Yamabe problem revisited Reine Angew

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.514309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:91adc42bb1fe33073e310dae34c139af26e8a32013a4d91b4fa895e4cdd5a509

Observation 17a34020-f6c6-4e01-8527-777adce5787d · outbound

This paper cites J.124(2004), no.

The $\sigma_k$-Yamabe problem revisited J.124(2004), no

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.510027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:bcb077c41abfb85669d46c44941bfc7a751f33a84def27edb3c67e6c91318fe4

Observation 4b29f22d-d523-4aa5-ac42-5ca044ce63a6 · outbound

This paper cites an unresolved cited work.

The $\sigma_k$-Yamabe problem revisited Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-20T23:09:13.505786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:a43cd33219a0b5857d9091c7c973f0bb82fd8c0a9664167f0f3ba74283d88cdb

Observation 1762bce4-d68f-4845-ae12-769e2fdaffb2 · outbound

This paper cites Gursky and Jeff A.

The $\sigma_k$-Yamabe problem revisited Gursky and Jeff A

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.552484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:cb5caaa8e72c80834c663b5bc448b2060f71a3c5c27e0f918c362a63c73aae73

Observation b77daddc-208f-4881-b229-4cd33be4e2c8 · outbound

This paper cites Differential Geom.63(2003), no.

The $\sigma_k$-Yamabe problem revisited Differential Geom.63(2003), no

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.501483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:b63498e82f96143026bd9a1e583fab04e38519926d0a8ba6af44f4a13b2c5eb7

Observation e009d3cd-bd8f-4a75-b23d-1a0e58a9b206 · outbound

This paper cites an unresolved cited work.

The $\sigma_k$-Yamabe problem revisited Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-20T23:09:13.497440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:0f817aa5d5a56bfc2d0c2b0ca33d10c9b80f50e0139933855ada72d5ff7e5d2c

Observation 50cedf35-57e7-49a7-bc7a-cc32d1a143d6 · outbound

This paper cites 1, 45–70.

The $\sigma_k$-Yamabe problem revisited 1, 45–70

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.493291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:4d719544181acf3abd798b8cb133fcc57e5db7cb3094436f3b05e83cb5f67180

Observation dc0c4bed-f859-4bcc-ad22-260301e93770 · outbound

This paper cites an unresolved cited work.

The $\sigma_k$-Yamabe problem revisited Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-05-20T23:09:13.489090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:d59a8368e0839c96a21e548eb54ac1f54be78d249078a0fe0b3823d3259ce971

Observation d5b92154-add0-422a-accd-5eba91babb16 · outbound

This paper cites Lee and Thomas H.

The $\sigma_k$-Yamabe problem revisited Lee and Thomas H

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.484916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:7fd5efc2eb0cc7d58a17611732b8ff6316f1812a4624a206cc1eaa5a3ff0a02f

Observation 4ea795e0-a001-4fbe-a6c7-006973ba3ea1 · outbound

This paper cites an unresolved cited work.

The $\sigma_k$-Yamabe problem revisited Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-20T23:09:13.480916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:d138ab18aee4032d5683530767b16484f3dd35d31a8211776953db417dd44d65

Observation 6183503f-d76d-4db6-8b5a-b9dfe26ceb34 · outbound

This paper cites Pure Appl.

The $\sigma_k$-Yamabe problem revisited Pure Appl

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.476855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:320e3b0517c435f7331083edf5c84fa493a2ea7b4bcee06d8bf6e2d203520919

Observation a0218663-c085-4a47-86f2-3ecef3146454 · outbound

This paper cites an unresolved cited work.

The $\sigma_k$-Yamabe problem revisited Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-05-20T23:09:13.562147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:49a5d947affa76692213739b1d7dbc1beb79aaa74a094186a963ee14ee4d8cd7

Observation 9dfa64ba-53c5-4073-b4d2-75774268b091 · outbound

This paper cites 1365, Springer, Berlin, 1989, pp.

The $\sigma_k$-Yamabe problem revisited 1365, Springer, Berlin, 1989, pp

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.473102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:40fde19d7b8575b4db9a9ab03c50119e1f643c5b7114d7b83479be8e1716e982

Observation 54625e19-4fd3-433a-a3d0-c4da11e12c6d · outbound

This paper cites Differential Geom.77(2007), no.

The $\sigma_k$-Yamabe problem revisited Differential Geom.77(2007), no

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.468600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:26cc3774c541068f1e0aedf30495545fe6e6910ab795396165e05d24dd420801

Observation 2d362e6b-47f6-4ca5-8176-5ef5b1d70ded · outbound

This paper cites Trudinger,Remarks concerning the conformal deformation of Riemannian structures on com- pact manifolds, Ann.

The $\sigma_k$-Yamabe problem revisited Trudinger,Remarks concerning the conformal deformation of Riemannian structures on com- pact manifolds, Ann

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.464427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:3d25c1ac05f7f5efd9503127d1e38815fe55f3154053f53106065cfc53c1cec5

Observation 8b037b30-2cdf-479c-bec0-128ac7ddbcca · outbound

This paper cites Trudinger and Xu-Jia Wang,On Harnack inequalities and singularities of admissible metrics in the Yamabe problem, Calc.

The $\sigma_k$-Yamabe problem revisited Trudinger and Xu-Jia Wang,On Harnack inequalities and singularities of admissible metrics in the Yamabe problem, Calc

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.567154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:690c39fcf3032b4dc822cc1fee525cec31c50d3fce0264171d7babad82aa91d8

Observation b3bdaddb-cb66-407b-8bb0-9d424c36202f · outbound

This paper cites Viaclovsky,Conformal geometry, contact geometry, and the calculus of variations, Duke Math.

The $\sigma_k$-Yamabe problem revisited Viaclovsky,Conformal geometry, contact geometry, and the calculus of variations, Duke Math

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.460204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:33408cda519b8aedba0013c8fcbbb177ece6fac85350ceecc0f41144b4f75fc4

Observation 3903fe1a-c8e0-42aa-a7c2-96092385aab4 · outbound

This paper cites J.12(1960), 21–37.

The $\sigma_k$-Yamabe problem revisited J.12(1960), 21–37

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T23:09:13.455797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-20T23:06:51.334165Z digest=sha256:77d10c98aabe475c561273a98f5286002ee129706ab782214c3c805d1d86d235

Pith citing papers

No inbound Pith citation observations are available.