Paper Citation Record · LEDGER

Positive scalar curvature and isolated conical singularity

As of 15 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 2 inbound Pith citation observations for arXiv:2412.02941.

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

pith.paper-citation-record.v1
2412.02941 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:13:50.118109Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T12:41:38.689103Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T12:09:49.368036Z

Reference resolution

40 of 40 outbound references displayed

verified exact2
verified fuzzy29
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 68d4d744-f353-4f83-b34e-2d68fd8dc7bf · outbound

This paper cites Stratiﬁed spaces and synthetic Ricci curvature bounds.

Positive scalar curvature and isolated conical singularity Stratiﬁed spaces and synthetic Ricci curvature bounds

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.860284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b77f87da-ba1d-49d6-a9b7-fd382f9f1f17 · outbound

This paper cites Positive scalar curvature with point singularities.

Positive scalar curvature and isolated conical singularity Positive scalar curvature with point singularities

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T23:13:49.979219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f3a3c66-1224-40bd-bc06-3e41fbeef73b · outbound

This paper cites Incompressible hypersurface, positive scalar curvature and positive mass theorem.

Positive scalar curvature and isolated conical singularity Incompressible hypersurface, positive scalar curvature and positive mass theorem

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T23:13:49.983272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 040eeedf-bcf0-4c9a-873b-7da16d44cf14 · outbound

This paper cites Positive scalar urvatu re metric and aspherical sum- mands.

Positive scalar curvature and isolated conical singularity Positive scalar urvatu re metric and aspherical sum- mands

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T23:13:49.986943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ef3249a-223b-4ae3-b8db-6815553c3bdd · outbound

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

Positive scalar curvature and isolated conical singularity Generalized soap bubbles and the topolo gy of manifolds with positive scalar curvature

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.848093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 43941f9b-adf8-466b-bcf9-3093122a779d · outbound

This paper cites The Dirac operator on spaces with conica l singularities and positive scalar curvatures.

Positive scalar curvature and isolated conical singularity The Dirac operator on spaces with conica l singularities and positive scalar curvatures

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.834734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cc646f7d-8b4d-49d2-ad37-92f6e7224929 · outbound

This paper cites Mass under the Ricci ﬂow.

Positive scalar curvature and isolated conical singularity Mass under the Ricci ﬂow

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.822944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8439255d-7fe0-4551-8b4a-a2c7f98954fb · outbound

This paper cites Compacitiﬁcation and positive mass th eorem for ﬁbered Euclidean end.

Positive scalar curvature and isolated conical singularity Compacitiﬁcation and positive mass th eorem for ﬁbered Euclidean end

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.811182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 56e6c136-c700-4873-9a7d-eb3810fe1b6f · outbound

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

Positive scalar curvature and isolated conical singularity Positive mass theorem for asymptotically flat spin manifolds with isolated conical singularities

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T23:13:50.005766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 305fb5cd-eef4-4495-9c83-970a6249027f · outbound

This paper cites Positive mass theo rem for asymptotically ﬂat man- ifolds with isolated conical singularities.

Positive scalar curvature and isolated conical singularity Positive mass theo rem for asymptotically ﬂat man- ifolds with isolated conical singularities

Reference 10

Resolution: verified exact; doi, observed 2026-08-11T23:13:50.162970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3fd9b16f-db32-422f-8428-dbc029894703 · outbound

This paper cites Perelman’s λ-functional on manifolds with conical singularities.

Positive scalar curvature and isolated conical singularity Perelman’s λ-functional on manifolds with conical singularities

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.797857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c0045863-a25a-4a25-9999-934f105ad12b · outbound

This paper cites Perelman’s W-functional on ma nifolds with conical singularities.

Positive scalar curvature and isolated conical singularity Perelman’s W-functional on ma nifolds with conical singularities

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.784669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a9ed59cb-e4d7-4083-86dd-921a0c08abab · outbound

This paper cites Perelman’s functionals on manif olds with non-isolated conical singularities.

Positive scalar curvature and isolated conical singularity Perelman’s functionals on manif olds with non-isolated conical singularities

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.772040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3f58e7e9-19de-46e1-b17b-31ff4175cace · outbound

This paper cites Blaine Lawson, Jr.

Positive scalar curvature and isolated conical singularity Blaine Lawson, Jr

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.760361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2f327a4e-68a3-4e4f-8f41-7ee5bc2bc733 · outbound

This paper cites Blaine Lawson, Jr.

Positive scalar curvature and isolated conical singularity Blaine Lawson, Jr

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.749661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d826503d-397e-4814-9f28-b72b035a6ea4 · outbound

This paper cites Blaine Lawson, Jr.

Positive scalar curvature and isolated conical singularity Blaine Lawson, Jr

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.735442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e897d4f9-5f49-4896-b932-47a703fc9001 · outbound

This paper cites Dirac and Plateau billiards in domains with corners.

Positive scalar curvature and isolated conical singularity Dirac and Plateau billiards in domains with corners

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.723689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bbcc796d-03f3-4d35-9cf3-74807b65caca · outbound

This paper cites Four Lectures on Scalar Curvature.

Positive scalar curvature and isolated conical singularity Four Lectures on Scalar Curvature

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T23:13:50.038267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5015015a-050b-408a-8376-e50ea1ab87ca · outbound

This paper cites A mass-decreasing ﬂow in dimension three.

Positive scalar curvature and isolated conical singularity A mass-decreasing ﬂow in dimension three

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.708251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1d77c877-14e2-4d13-a12b-ffb7a83419a6 · outbound

This paper cites Desingularizing positive scalar curvature 4- manifolds.

Positive scalar curvature and isolated conical singularity Desingularizing positive scalar curvature 4- manifolds

Reference 20

Resolution: verified exact; doi, observed 2026-08-11T23:13:50.150412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5fd9e8a2-b422-46c0-a609-84b8c79623f2 · outbound

This paper cites an unresolved cited work.

Positive scalar curvature and isolated conical singularity Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:13:50.686018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 68c324c7-bd83-448a-a8c4-e8af96b716ca · outbound

This paper cites Kazdan and F.

Positive scalar curvature and isolated conical singularity Kazdan and F

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.674183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3947fe73-ccbf-40b5-a877-fe441ca87b7e · outbound

This paper cites Lee and Thomas H.

Positive scalar curvature and isolated conical singularity Lee and Thomas H

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.662149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3b2da436-a43b-40c8-b5d0-eab58f2a8dde · outbound

This paper cites The positive mass theorem with arbitrary ends.

Positive scalar curvature and isolated conical singularity The positive mass theorem with arbitrary ends

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.651768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7827410e-1f7a-48ee-b292-d52fd1914c60 · outbound

This paper cites Positive scalar curvature with skeleton singularities.

Positive scalar curvature and isolated conical singularity Positive scalar curvature with skeleton singularities

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.638521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 120654d9-56be-44b3-8e1b-5702f612b3ad · outbound

This paper cites Geometric analysis, volume 134 of Cambridge Studies in Advanced Mathematics.

Positive scalar curvature and isolated conical singularity Geometric analysis, volume 134 of Cambridge Studies in Advanced Mathematics

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.626290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation aa0b6391-7e47-4811-9faa-1a506eca5a2a · outbound

This paper cites Ricci ﬂow on asymptotically Euclidean manifolds.

Positive scalar curvature and isolated conical singularity Ricci ﬂow on asymptotically Euclidean manifolds

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.613671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e5d20bf6-cc53-48c1-a6b7-bc409f45e81a · outbound

This paper cites Littman, G.

Positive scalar curvature and isolated conical singularity Littman, G

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T23:13:50.074024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31c64b43-fde3-44a4-9df1-a5df7d9ece92 · outbound

This paper cites Scalar curvature and hammocks.

Positive scalar curvature and isolated conical singularity Scalar curvature and hammocks

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T23:13:50.077470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 112eb8d2-38fe-4659-ae4c-ce984bee0cf2 · outbound

This paper cites On the universal cover and th e fundamental group of an RCD∗ (K, N )-space.

Positive scalar curvature and isolated conical singularity On the universal cover and th e fundamental group of an RCD∗ (K, N )-space

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.581543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 52453488-e704-4db1-9135-76480ea6c7d3 · outbound

This paper cites Conformal deformation of a Riemannian metric to constant scalar curvature.

Positive scalar curvature and isolated conical singularity Conformal deformation of a Riemannian metric to constant scalar curvature

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.568957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e218c07d-3067-4365-b049-4d6476f1966b · outbound

This paper cites Variational theory for the total scalar curv ature functional for Riemannian metrics and related topics.

Positive scalar curvature and isolated conical singularity Variational theory for the total scalar curv ature functional for Riemannian metrics and related topics

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.553621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 615b8291-ef4a-4f7c-9416-302926fefecf · outbound

This paper cites On the structure of manifo lds with positive scalar curvature.

Positive scalar curvature and isolated conical singularity On the structure of manifo lds with positive scalar curvature

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.540611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 627f52bd-fd1f-4ada-98cf-269ac25a7f1a · outbound

This paper cites On the proof of the positiv e mass conjecture in general rela- tivity.

Positive scalar curvature and isolated conical singularity On the proof of the positiv e mass conjecture in general rela- tivity

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.527620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a2803189-b336-4037-95e8-d1ff028221d8 · outbound

This paper cites Scalar curvature and singular metrics.

Positive scalar curvature and isolated conical singularity Scalar curvature and singular metrics

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.515164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ce2b467b-2323-4eed-8a11-3c14b311ac84 · outbound

This paper cites Total mean curva ture of the boundary and non- negative scalar curvature ﬁll-ins.

Positive scalar curvature and isolated conical singularity Total mean curva ture of the boundary and non- negative scalar curvature ﬁll-ins

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.503254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 97460669-d3ef-447c-afbe-b8b0e7af5cdc · outbound

This paper cites On the ﬁll-in of nonnegative scalar curvature metrics.

Positive scalar curvature and isolated conical singularity On the ﬁll-in of nonnegative scalar curvature metrics

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.489604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6230b13a-0019-4f3d-8be8-fd2ecbd4bf8a · outbound

This paper cites Scalar curvature rigidity of spheres with subsets removed and $L^\infty$ metrics.

Positive scalar curvature and isolated conical singularity Scalar curvature rigidity of spheres with subsets removed and $L^\infty$ metrics

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T23:13:50.110398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6acb0f7-bb35-43b0-ac98-6717da1a1187 · outbound

This paper cites On the generalized Geroch c onjecture for complete spin manifolds.

Positive scalar curvature and isolated conical singularity On the generalized Geroch c onjecture for complete spin manifolds

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.476369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b602732f-f347-4e82-852c-ef2e30281129 · outbound

This paper cites Positive mass theorem with arbitrary ends and its ap plication.

Positive scalar curvature and isolated conical singularity Positive mass theorem with arbitrary ends and its ap plication

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:13:50.461714Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation cf6f7cdf-1ec5-44e8-a7e4-d946769bf905 · inbound

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities cites this paper.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Positive scalar curvature and isolated conical singularity

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-04T12:09:49.369382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a6779b5f-32dc-4f05-8190-c88b6a9c6673 · inbound

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities cites this paper.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Positive scalar curvature and isolated conical singularity

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-12T12:41:38.689103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.