Paper Citation Record · LEDGER

Positive scalar curvature and exotic structures on simply connected four manifolds

As of 12 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2501.01113.

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

pith.paper-citation-record.v1
2501.01113 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:43:28.583232Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:15:42.215925Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T14:15:42.360637Z

Reference resolution

24 of 24 outbound references displayed

verified exact0
verified fuzzy11
unresolved13
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 70a4d03a-331b-43c9-a9a0-1da892987758 · outbound

This paper cites The disc embedding theorem.

Positive scalar curvature and exotic structures on simply connected four manifolds The disc embedding theorem

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:29.521513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e7b53fd7-5f18-4af3-bc2d-c5a7b86906d7 · outbound

This paper cites Stable minimal surfaces and positive scalar curvature, 2021.

Positive scalar curvature and exotic structures on simply connected four manifolds Stable minimal surfaces and positive scalar curvature, 2021

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:29.451568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 67083301-2e16-4fb1-833b-f1cb4babda1f · outbound

This paper cites Generalized soap bubbles and the topology of manifolds with positive scalar curvature.

Positive scalar curvature and exotic structures on simply connected four manifolds Generalized soap bubbles and the topology of manifolds with positive scalar curvature

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:28.320349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 563949be-4106-42e2-8723-4e795eef2387 · outbound

This paper cites Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions.

Positive scalar curvature and exotic structures on simply connected four manifolds Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:29.321568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ace45e38-3465-4945-bba5-a5e9b8071910 · outbound

This paper cites The topology of four-dimensional manifolds.

Positive scalar curvature and exotic structures on simply connected four manifolds The topology of four-dimensional manifolds

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:28.342681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e38318e-0cb8-4da4-9741-4149f19e7689 · outbound

This paper cites Minimal surfaces and functions of bounded variation , volume 80 of Monographs in Mathematics.

Positive scalar curvature and exotic structures on simply connected four manifolds Minimal surfaces and functions of bounded variation , volume 80 of Monographs in Mathematics

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:28.374382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcadc0d2-f7bd-4eb9-a5fb-0321f3f6d500 · outbound

This paper cites Blaine Lawson, Jr.

Positive scalar curvature and exotic structures on simply connected four manifolds Blaine Lawson, Jr

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:28.437440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03aab87b-b12a-4225-bfb5-6d37607d4c29 · outbound

This paper cites an unresolved cited work.

Positive scalar curvature and exotic structures on simply connected four manifolds Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:43:29.240306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3425522f-1978-48b4-b999-b72080ad1957 · outbound

This paper cites Metric inequalities with scalar curvature.

Positive scalar curvature and exotic structures on simply connected four manifolds Metric inequalities with scalar curvature

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:28.501304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b858812-cf23-4bc3-9663-182027fe686c · outbound

This paper cites Four lectures on scalar curvature.

Positive scalar curvature and exotic structures on simply connected four manifolds Four lectures on scalar curvature

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:29.066817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 241e935f-3356-40f8-a6af-506d1d36fb15 · outbound

This paper cites Gompf and Andr\' a s I.

Positive scalar curvature and exotic structures on simply connected four manifolds Gompf and Andr\' a s I

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:28.514327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fb9c18a-61ea-4879-b8d2-7855dc40048e · outbound

This paper cites Kazdan and F.

Positive scalar curvature and exotic structures on simply connected four manifolds Kazdan and F

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:28.990965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 13c51fe9-6065-4ed5-a041-c0e73a2f996c · outbound

This paper cites Spineurs harmoniques.

Positive scalar curvature and exotic structures on simply connected four manifolds Spineurs harmoniques

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:28.971728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 18d8afa3-8978-470a-92d7-48b99ae78449 · outbound

This paper cites Surgery theory---foundations , volume 362 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

Positive scalar curvature and exotic structures on simply connected four manifolds Surgery theory---foundations , volume 362 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:28.952147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e9dde48f-f150-489e-8860-710c81e3f0d9 · outbound

This paper cites an unresolved cited work.

Positive scalar curvature and exotic structures on simply connected four manifolds Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:43:28.934858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d9da99af-9b33-40ed-8706-e54ca52d6f01 · outbound

This paper cites Scalar and mean curvature comparison via -bubbles.

Positive scalar curvature and exotic structures on simply connected four manifolds Scalar and mean curvature comparison via -bubbles

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:28.919802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 07c3de8f-1c36-489a-a079-e00c2b746d32 · outbound

This paper cites Manifolds of positive scalar curvature: a progress report.

Positive scalar curvature and exotic structures on simply connected four manifolds Manifolds of positive scalar curvature: a progress report

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:28.903112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a98d9b96-19ac-4082-8a74-7966e6a5e4cb · outbound

This paper cites Simply connected manifolds of positive scalar curvature.

Positive scalar curvature and exotic structures on simply connected four manifolds Simply connected manifolds of positive scalar curvature

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:28.790364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8fdd5f4d-bc51-4d64-801c-6aa2f28b7141 · outbound

This paper cites Schoen and S.

Positive scalar curvature and exotic structures on simply connected four manifolds Schoen and S

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:28.556679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75677509-7558-4d60-b63f-0d2a07fdab8e · outbound

This paper cites Positive scalar curvature due to the cokernel of the classifying map.

Positive scalar curvature and exotic structures on simply connected four manifolds Positive scalar curvature due to the cokernel of the classifying map

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:28.718996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 295c64da-01f3-46e1-82c6-e4c08fba63cb · outbound

This paper cites The S eiberg- W itten invariants and symplectic forms.

Positive scalar curvature and exotic structures on simply connected four manifolds The S eiberg- W itten invariants and symplectic forms

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:28.566711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7f0fe61-e49d-4066-afe3-98283bcc9303 · outbound

This paper cites an unresolved cited work.

Positive scalar curvature and exotic structures on simply connected four manifolds Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:43:28.676977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 648e4970-be17-47de-9ed8-e1f53c4b1941 · outbound

This paper cites an unresolved cited work.

Positive scalar curvature and exotic structures on simply connected four manifolds Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:28.576462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bf24535-6f63-4dc6-b0cb-870f1d61a425 · outbound

This paper cites Width estimate and doubly warped product.

Positive scalar curvature and exotic structures on simply connected four manifolds Width estimate and doubly warped product

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:28.583232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation c479896b-0cc4-4c4d-b7e3-5550225004f1 · inbound

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture cites this paper.

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture Positive scalar curvature and exotic structures on simply connected four manifolds

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:15:42.366582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.