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Paper Citation Record · LEDGER

The CR Yamabe invariant and constant scalar curvature Sasaki metrics

As of 14 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 2 inbound Pith citation observations for arXiv:2509.00743.

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

pith.paper-citation-record.v1
2509.00743 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:21:51.150727Z

measured 13 of 13 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T00:52:58.031636Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-01T20:26:12.253902Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact2
  • verified fuzzy4
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 956b65a1-9e9a-4d76-89bb-88b094b92931 · outbound

This paper cites Apostolov and D.

The CR Yamabe invariant and constant scalar curvature Sasaki metrics Apostolov and D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:21:51.328521Z

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.

source=pdf_text observed=2026-08-05T13:21:51.107478Z digest=sha256:7b4b4ef2f661d9bab185870ce38163e22362d45558f043e1d1bf7ec492e3f92b

Observation 90cb2066-33e7-485c-b348-0f5089c0c618 · outbound

This paper cites an unresolved cited work.

The CR Yamabe invariant and constant scalar curvature Sasaki metrics Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:21:51.312940Z

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.

source=pdf_text observed=2026-08-05T13:21:51.111972Z digest=sha256:01ef93454cb94b2ee08b020ea302a3a17387c71916e3c18726b5bdde88d03383

Observation c38d274f-c97f-4c1b-848d-5197850edd86 · outbound

This paper cites an unresolved cited work.

The CR Yamabe invariant and constant scalar curvature Sasaki metrics Unresolved cited work

Reference 734

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:21:51.259867Z

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.

source=pdf_text observed=2026-08-05T13:21:51.130429Z digest=sha256:e1ee84ac2158ccbb6eca74bc324800675126505e6446e835116a0dee73d62ea3

Observation c647e3af-788b-4e9d-a9b7-92535d79f051 · outbound

This paper cites an unresolved cited work.

The CR Yamabe invariant and constant scalar curvature Sasaki metrics Unresolved cited work

Reference 1974

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:21:51.272983Z

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.

source=pdf_text observed=2026-08-05T13:21:51.126356Z digest=sha256:867ba3a0225dfe55645f3d4dc6e08176aec73decd0a86688072852555e8522c9

Observation fd29a49e-e6b9-4af4-84e0-16ededab9b25 · outbound

This paper cites Tanno, Variational problems on contact Riemannian manifolds , Trans.

The CR Yamabe invariant and constant scalar curvature Sasaki metrics Tanno, Variational problems on contact Riemannian manifolds , Trans

Reference 1975

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:21:51.234482Z

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.

source=pdf_text observed=2026-08-05T13:21:51.150727Z digest=sha256:7b4bfca06f667149d3b57793a2aebef4a7efa45bb7ad14b6f1ab61e3f9fe42de

Observation 5c0aee17-03b8-4d3f-a29a-cf70481aa667 · outbound

This paper cites an unresolved cited work.

The CR Yamabe invariant and constant scalar curvature Sasaki metrics Unresolved cited work

Reference 1987

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:21:51.300682Z

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.

source=pdf_text observed=2026-08-05T13:21:51.117044Z digest=sha256:aaed56bbadd29c240f243cc5202e56f24d082494e688685ca4c955a70cc64d28

Observation 9c10decf-f450-47e0-abf1-e740559dc71a · outbound

This paper cites Futaki and T.

The CR Yamabe invariant and constant scalar curvature Sasaki metrics Futaki and T

Reference 2006

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:21:51.247237Z

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.

source=pdf_text observed=2026-08-05T13:21:51.134730Z digest=sha256:6513609ceaab1a5bc0d94d929718867154a0f284165b90bbcb05a6da3a0a7955

Observation 99c652c4-7d14-4fd3-a0a8-5cb4ba9bad1c · outbound

This paper cites Boyer, H.

The CR Yamabe invariant and constant scalar curvature Sasaki metrics Boyer, H

Reference 2008

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:21:51.286992Z

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.

source=pdf_text observed=2026-08-05T13:21:51.121741Z digest=sha256:e24ea470b3e22bc0f55c28c0066912f0c7b98b1671f77ba6489b128d657fc8e5

Observation 275a0c0f-e182-4d51-a644-d80bd15a71f4 · outbound

This paper cites Entropies in $\mu$-framework of canonical metrics and K-stability, I -- Archimedean aspect: Perelman's W-entropy and $\mu$-cscK metrics.

The CR Yamabe invariant and constant scalar curvature Sasaki metrics Entropies in $\mu$-framework of canonical metrics and K-stability, I -- Archimedean aspect: Perelman's W-entropy and $\mu$-cscK metrics

Reference 2021

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:21:51.221077Z

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.

source=pdf_text observed=2026-08-05T13:21:51.138418Z digest=sha256:f61f74096010151ff309e9a2c368e3b1b1241ca45ade61c4ba1b3e718c571e39

Observation 51d4540c-8e97-4c14-b19d-1113abe137ca · outbound

This paper cites The Einstein-Hilbert functional and the Donaldson-Futaki invariant.

The CR Yamabe invariant and constant scalar curvature Sasaki metrics The Einstein-Hilbert functional and the Donaldson-Futaki invariant

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-05T13:21:51.142564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:21:51.142564Z digest=sha256:bee09a24e22795678b950c6a40db1a981fa025815a837ea13d6be455d794fed9

Observation 2d117938-a2e5-46ca-851f-27d36d907c4a · outbound

This paper cites CR Yamabe constant and inequivalent CR structures.

The CR Yamabe invariant and constant scalar curvature Sasaki metrics CR Yamabe constant and inequivalent CR structures

Reference 2024

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:21:51.189975Z

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.

source=pdf_text observed=2026-08-05T13:21:51.146587Z digest=sha256:36baa92eeee0cc4cab9ec411f889a6dad4555ecd0bc14134066e8e094d6ad7b7

Pith citing papers

Observation 919d6c9f-2f59-4e90-a576-afb386a42087 · inbound

Yamabe-type problems on compact Hermitian manifolds cites this paper.

Yamabe-type problems on compact Hermitian manifolds The CR Yamabe invariant and constant scalar curvature Sasaki metrics

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-07-01T20:26:12.256115Z

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.

source=pdf_text observed=2026-06-28T21:15:35.908560Z digest=sha256:b994f087951f756781bd8ae3150b53005c3e89fc524e9f9530ad9e45b3f6830c

Observation c4e56d5b-9931-43e1-bbf4-fc6e1e14929f · inbound

The toric CR Yamabe problem cites this paper.

The toric CR Yamabe problem The CR Yamabe invariant and constant scalar curvature Sasaki metrics

Reference 43

Resolution
unresolved
no resolver link, observed 2026-07-31T00:52:58.031636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T00:52:58.031636Z digest=sha256:4bd4b825e25d47a67b03321e51aac934a4945b085de37f0f41992dfd0bee6bb4