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Paper Citation Record · LEDGER

Min-max theory and Yamabe metrics on conical four-manifolds

As of 18 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2508.02667.

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

pith.paper-citation-record.v1
2508.02667 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:50:16.755433Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 06b712e3-120b-46d7-becb-3b3e5ff701ec · outbound

This paper cites Yamabemetricsofpositivescalarcurvatureandconformallyflatmanifolds.

Min-max theory and Yamabe metrics on conical four-manifolds Yamabemetricsofpositivescalarcurvatureandconformallyflatmanifolds

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:50:16.949577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:50:16.711704Z digest=sha256:786fb66dcae48fa27b6ca034d689af294c759bd5793c5354086ef8f704dc5ae6

Observation b5704243-7bde-4bbb-b418-77ed90be7b69 · outbound

This paper cites Best constant in Sobolev inequality.

Min-max theory and Yamabe metrics on conical four-manifolds Best constant in Sobolev inequality

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:50:16.877795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:50:16.746910Z digest=sha256:9c8097c94360718be5b67727d87351ac1bfde8caf8df4fc232fc694ebd33bcb4

Observation 9ef5efec-b163-4c0e-a61d-61d6480542a0 · outbound

This paper cites Yamabe metrics on conical manifolds.

Min-max theory and Yamabe metrics on conical four-manifolds Yamabe metrics on conical manifolds

Reference 6

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T17:50:16.797320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:50:16.734153Z digest=sha256:6411fe0c50d1cb388eb2da8ea7fbf5518809ea3e91f84581a79ea49ee75c062c

Observation 32391acd-08ff-4fda-af8f-f6e5cb664058 · outbound

This paper cites Ricci curvature bounds and Einstein metrics on compact manifolds.

Min-max theory and Yamabe metrics on conical four-manifolds Ricci curvature bounds and Einstein metrics on compact manifolds

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:50:16.935544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:50:16.716576Z digest=sha256:f35ccca33399560feeec2a2241694d3acd9f40e4e7a42443e5d8193c2a59af5e

Observation efb679d2-9802-463f-b657-ea25760aaf19 · outbound

This paper cites On a nonlinear elliptic equation involving the critical Sobolev exponent: the effect of the topology of the domain.

Min-max theory and Yamabe metrics on conical four-manifolds On a nonlinear elliptic equation involving the critical Sobolev exponent: the effect of the topology of the domain

Reference 182

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:50:16.922173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:50:16.725439Z digest=sha256:2457bec6676b49dd66c0f75ef872eaa9e99e197d5b00cdf43928433619683035

Observation aa798850-b361-4c52-8b98-4e4400e85180 · outbound

This paper cites The Yamabe problem.

Min-max theory and Yamabe metrics on conical four-manifolds The Yamabe problem

Reference 218

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:50:16.891701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:50:16.742941Z digest=sha256:d125446fe62a3d499c6de88c45134634e3c9bfc14986579f1960657f0a26f94d

Observation 183c5a44-1b42-4d86-a394-c760f647cb8e · outbound

This paper cites Counter-examples to the generalized positive action conjecture.

Min-max theory and Yamabe metrics on conical four-manifolds Counter-examples to the generalized positive action conjecture

Reference 255

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:50:16.906041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:50:16.738437Z digest=sha256:ec6053401e13faee7e222c15045a74eaa0a4bc708231537f1ac1d1bc1c65afbb

Observation 84bd819f-b0fc-4588-9421-113f3f1fe077 · outbound

This paper cites Monopole metrics and the orbifold Yamabe problem.

Min-max theory and Yamabe metrics on conical four-manifolds Monopole metrics and the orbifold Yamabe problem

Reference 274

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:50:16.850104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:50:16.755433Z digest=sha256:83a599e8fb268e61a6b5b631d28f229418c064459afbc656cdad0ddfd1e4e06c

Observation c9d90650-503e-4b23-9af7-15d94c190b9b · outbound

This paper cites Remarks concerning the conformal deformation of Riemannian structures on compact manifolds.

Min-max theory and Yamabe metrics on conical four-manifolds Remarks concerning the conformal deformation of Riemannian structures on compact manifolds

Reference 325

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:50:16.863701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:50:16.751136Z digest=sha256:aef649c8eef26f2f81b0c6d98cbb506385a817b4f71503f5cf9c1726cb8710e9

Observation e4d37ab9-00fb-45c5-9f10-5b3a21edcd02 · outbound

This paper cites Positive mass theorem for asymptotically flat manifolds with isolated conical singularities.

Min-max theory and Yamabe metrics on conical four-manifolds Positive mass theorem for asymptotically flat manifolds with isolated conical singularities

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-15T17:50:16.729585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:50:16.729585Z digest=sha256:c469e6906e74bed4c276702abcd0348de2d697942bb6373e6927ecdd9d3b076d

Observation 8d916bf2-e4ba-49e7-8041-b3c59b36e0f6 · outbound

This paper cites Conformal Green functions and Yamabe metrics of Sobolev regularity.

Min-max theory and Yamabe metrics on conical four-manifolds Conformal Green functions and Yamabe metrics of Sobolev regularity

Reference 2025

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T17:50:16.834548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:50:16.720899Z digest=sha256:94904f077eb262e73b0531a9a08c9911b8a22dd2bae7326920ac1e7533224741

Pith citing papers

No inbound Pith citation observations are available.