Paper Citation Record · LEDGER

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities

As of 20 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 2 inbound Pith citation observations for arXiv:2506.24059.

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

pith.paper-citation-record.v1
2506.24059 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:41:58.451408Z

measured 36 of 36 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T13:40:50.326345Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T07:09:38.202077Z

Reference resolution

34 of 34 outbound references displayed

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External citation measurements

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Outbound references

Observation 99b39ea5-b9d9-4b2a-9037-06662769a1fc · outbound

This paper cites The index of Dirac operators on incomplete edge spaces.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities The index of Dirac operators on incomplete edge spaces

Reference 1

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Observation 62d2042d-36d3-40e7-a722-405e32bb242b · outbound

This paper cites Scalar curvature rigid- ity of warped product metrics.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Scalar curvature rigid- ity of warped product metrics

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:42:03.153676Z

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Observation c5a805fa-a1ee-49ff-ab17-2727a53f6d1e · outbound

This paper cites The mass of an asymptotically flat manifold.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities The mass of an asymptotically flat manifold

Reference 3

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Observation bef6ae93-a27c-45a3-9e60-5a6d7e89f44e · outbound

This paper cites Positive scalar curvature on simply connected spin pseudomanifolds.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Positive scalar curvature on simply connected spin pseudomanifolds

Reference 4

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Observation a5454255-8b5a-468c-9cd7-6fe3fd87b643 · outbound

This paper cites Spineurs, op´ erateurs de Dirac et variations de m´ etriques.Comm.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Spineurs, op´ erateurs de Dirac et variations de m´ etriques.Comm

Reference 5

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Observation 312d2da9-52fa-42b5-a2df-d5fdd8426a53 · outbound

This paper cites Scalar curvature rigidity of convex polytopes.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Scalar curvature rigidity of convex polytopes

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:42:02.212252Z

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Observation 26269e15-74ee-47ef-8650-48ca83699313 · outbound

This paper cites An index theorem for first order regular singular op- erators.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities An index theorem for first order regular singular op- erators

Reference 7

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Observation 512ee53f-d5a7-4d3a-84d1-94a1452659a3 · outbound

This paper cites Lipschitz rigidity for scalar curvature.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Lipschitz rigidity for scalar curvature

Reference 8

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Observation f87feac0-49c7-4362-941b-d48394fbcb21 · outbound

This paper cites Scalar curvature rigidity of the four-dimensional sphere.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Scalar curvature rigidity of the four-dimensional sphere

Reference 9

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Observation 34022e4d-ec7d-40d8-a181-183fa627a10e · outbound

This paper cites Scalar and mean curvature comparison via the Dirac operator.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Scalar and mean curvature comparison via the Dirac operator

Reference 10

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Observation c1f942a9-b190-4753-acc2-fa2b56d885c6 · outbound

This paper cites Spectral geometry of singular Riemannian spaces.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Spectral geometry of singular Riemannian spaces

Reference 11

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Observation 32c1a58c-7f01-4f66-b4e3-13cd877b8c79 · outbound

This paper cites The Dirac operator on spaces with conical singularities and posi- tive scalar curvatures.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities The Dirac operator on spaces with conical singularities and posi- tive scalar curvatures

Reference 12

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Observation d6b3c117-243f-4711-8103-28b293017a0f · outbound

This paper cites Llarull's theorem on punctured sphere with $L^\infty$ metric.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Llarull's theorem on punctured sphere with $L^\infty$ metric

Reference 13

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Observation 5e9f8d38-4ae4-46e3-8183-cebd0fed5cc7 · outbound

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

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Positive mass theorem for asymptotically flat manifolds with isolated conical singularities

Reference 14

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Observation 2c222132-d4e3-46d1-b940-5c2a23d27682 · outbound

This paper cites Positive mass theorem for asymptot- ically flat spin manifolds with isolated conical singularities.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Positive mass theorem for asymptot- ically flat spin manifolds with isolated conical singularities

Reference 15

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Observation 0d9ba4ef-a8d2-49a1-b7ae-1b1aafa0bb25 · outbound

This paper cites Goette and U.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Goette and U

Reference 16

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Observation 06211fc0-f7ce-471f-8126-bbf6e66da463 · outbound

This paper cites Four lectures on scalar curvature.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Four lectures on scalar curvature

Reference 17

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Observation 821829b0-2f45-48f2-9f12-79966303109f · outbound

This paper cites Positive mass theorems on singular spaces and some applications.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Positive mass theorems on singular spaces and some applications

Reference 18

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Observation cac84e77-571b-462c-ade0-a666d51254d1 · outbound

This paper cites Blaine Lawson, Jr.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Blaine Lawson, Jr

Reference 19

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Observation 39599990-973a-4b10-8fab-00cbaaa0a084 · outbound

This paper cites Deficiency indices for symmetric Dirac operators on manifolds with conic singularities.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Deficiency indices for symmetric Dirac operators on manifolds with conic singularities

Reference 20

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Observation 52dc1709-c084-4b96-a5de-de3efc1bc2d2 · outbound

This paper cites Operators of Fuchs type, conical singularities, and asymptotic methods , volume 136 of Teubner-Texte zur Mathematik [Teubner Texts in Mathematics].

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Operators of Fuchs type, conical singularities, and asymptotic methods , volume 136 of Teubner-Texte zur Mathematik [Teubner Texts in Mathematics]

Reference 21

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Observation 900da44b-a497-45d9-92f5-ad9fe1e58c10 · outbound

This paper cites Positive scalar curvature with skeleton singularities.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Positive scalar curvature with skeleton singularities

Reference 22

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Observation 01d7ce47-c49e-42bd-a9d5-60c1e5ce363c · outbound

This paper cites Sharp estimates and the Dirac operator.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Sharp estimates and the Dirac operator

Reference 23

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Observation 2152239d-bc7e-43ea-8622-a4704f03a35b · outbound

This paper cites Index theory for scalar curvature on manifolds with boundary.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Index theory for scalar curvature on manifolds with boundary

Reference 24

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Observation e3272e0c-81aa-43dd-a938-a84d66b875a8 · outbound

This paper cites On the proof of the positive mass conjecture in general relativity.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities On the proof of the positive mass conjecture in general relativity

Reference 25

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Observation a1878782-3392-4122-bdea-d3968125b447 · outbound

This paper cites Yamabe constants of collapsing Riemannian submersions.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Yamabe constants of collapsing Riemannian submersions

Reference 26

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Observation 6c45923f-7cff-417d-b6ba-0704552355cd · outbound

This paper cites Scalar-mean rigidity theorem for compact manifolds with boundary.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Scalar-mean rigidity theorem for compact manifolds with boundary

Reference 27

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Observation bdc18a70-610e-4071-b967-ce8dd916d172 · outbound

This paper cites On Gromov's flat corner domination conjecture and Stoker's conjecture.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities On Gromov's flat corner domination conjecture and Stoker's conjecture

Reference 28

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Observation 6427ac93-72a8-437c-bafb-b8375599dc77 · outbound

This paper cites Dihedral rigidity for submanifolds of warped product manifolds.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Dihedral rigidity for submanifolds of warped product manifolds

Reference 29

Resolution: verified exact; raw_fallback, observed 2026-08-06T21:41:58.715897Z

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Observation 5c99fdd9-85f6-418e-a457-f897602d74fa · outbound

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

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Scalar curvature rigidity of spheres with subsets removed and $L^\infty$ metrics

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T21:41:58.084207Z

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Observation e73d5356-ce64-41f7-be7a-0e76d6ab6658 · outbound

This paper cites Scalar curvature rigidity of degenerate warped product spaces.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities Scalar curvature rigidity of degenerate warped product spaces

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:41:59.378053Z

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Observation 62a211d8-ff60-48a8-b22a-2c95961d9661 · outbound

This paper cites On Gromov's dihedral extremality and rigidity conjectures.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities On Gromov's dihedral extremality and rigidity conjectures

Reference 32

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Observation d39a2300-f1b0-4ab3-9bf2-11978e35ce73 · outbound

This paper cites A new proof of the positive energy theorem.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities A new proof of the positive energy theorem

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:41:59.246303Z

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Observation 93e8fda1-a8b4-4815-8363-f6edc3cc53ce · outbound

This paper cites A quantitative relative index theorem and Gromov’s conjectures on positive scalar curvature.

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities A quantitative relative index theorem and Gromov’s conjectures on positive scalar curvature

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:41:59.137064Z

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Pith citing papers

Observation fbe2725e-4e2c-4a8d-a487-196182b6ee7c · inbound

Lipschitz rigidity for scalar curvature on singular manifolds in odd dimensions cites this paper.

Lipschitz rigidity for scalar curvature on singular manifolds in odd dimensions A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-11T15:11:05.510680Z

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Observation 0d1bae2f-3f11-4091-9774-191ca7582f2e · inbound

$L^\infty$-metrics on tori and Schoen's conjecture cites this paper.

$L^\infty$-metrics on tori and Schoen's conjecture A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-04T07:09:38.203673Z

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