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Paper Citation Record · LEDGER

Bounding Curvature Measure on Manifolds with Singularities

As of 21 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2606.08887.

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

pith.paper-citation-record.v1
2606.08887 v1

Coverage vector

measured 15 of 15 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T15:34:52.040334Z

measured 15 of 15 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

15 of 15 outbound references displayed

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External citation measurements

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Outbound references

Observation ddd91ea0-28a2-493d-a4b5-308fd5058d71 · outbound

This paper cites Alexander, V.

Bounding Curvature Measure on Manifolds with Singularities Alexander, V

Reference 1

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Observation ab320432-02e4-4609-aac8-cce6b23cf151 · outbound

This paper cites Burago, M.

Bounding Curvature Measure on Manifolds with Singularities Burago, M

Reference 2

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Observation e94cf913-6eb7-40a2-bc4c-7641507c664b · outbound

This paper cites Fujioka, A lower bound for the curvature integral under an upper curvature boundarxiv: 2306.1157.

Bounding Curvature Measure on Manifolds with Singularities Fujioka, A lower bound for the curvature integral under an upper curvature boundarxiv: 2306.1157

Reference 3

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verified exact
arxiv_id, observed 2026-07-03T03:07:35.124686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 7bf28e6d-b9a7-4f69-898d-684c9dbce6c7 · outbound

This paper cites Green, H.

Bounding Curvature Measure on Manifolds with Singularities Green, H

Reference 4

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source=pdf_text observed=2026-06-27T15:34:52.040334Z digest=sha256:0ea0576047a1fc18dcb72eda5e12c2759b19641e162f37ab8b31f9a8de9e3708

Observation 9e57c109-efa3-40d2-80cd-3a2efb8c81c4 · outbound

This paper cites Gromov,Large riemannian manifolds(Katsuhiro Shiohama, Takashi Sakai, and Toshikazu Sunada, eds.), Springer Berlin Heidelberg, Berlin, Heidelberg, 1986.

Bounding Curvature Measure on Manifolds with Singularities Gromov,Large riemannian manifolds(Katsuhiro Shiohama, Takashi Sakai, and Toshikazu Sunada, eds.), Springer Berlin Heidelberg, Berlin, Heidelberg, 1986

Reference 5

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source=pdf_text observed=2026-06-27T15:34:52.040334Z digest=sha256:269f76641853b3589a32691ec2d24a94fc6ece7265b6300617ef7e0eaf8a3b95

Observation ce3f56f6-2d72-4f69-a4a4-041e8f854117 · outbound

This paper cites Curvature tensor of smoothable Alexandrov spaces.

Bounding Curvature Measure on Manifolds with Singularities Curvature tensor of smoothable Alexandrov spaces

Reference 6

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verified exact
arxiv_id, observed 2026-07-03T03:07:35.127393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 468a1571-b9a3-4c39-a663-eb4918cc808c · outbound

This paper cites Li, Aspects and examples on quantitative stratification with lower curvature bound,Differential Geometry in the Large (London Mathematical Society Lecture Note Series, pp.

Bounding Curvature Measure on Manifolds with Singularities Li, Aspects and examples on quantitative stratification with lower curvature bound,Differential Geometry in the Large (London Mathematical Society Lecture Note Series, pp

Reference 7

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source=pdf_text observed=2026-06-27T15:34:52.040334Z digest=sha256:2d4ab5e65a9eaa59e30cb0785ee1a79cb50d1a1acd43495ad37a1c89fa14e487

Observation 11273b58-e4a3-450f-9b19-71e22a653d84 · outbound

This paper cites Quantitative estimates on the $C^2$-singular sets in Alexandrov spaces.

Bounding Curvature Measure on Manifolds with Singularities Quantitative estimates on the $C^2$-singular sets in Alexandrov spaces

Reference 8

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verified exact
arxiv_id, observed 2026-07-03T03:07:35.121669Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5302d405-8c34-4499-b155-c42ab03696bb · outbound

This paper cites an unresolved cited work.

Bounding Curvature Measure on Manifolds with Singularities Unresolved cited work

Reference 9

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verified exact
doi, observed 2026-06-27T15:41:01.302037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T15:34:52.040334Z digest=sha256:568aaa44180b9555787527cd037d111ab0a8599cca71b8e59ae445d559c70d79

Observation 92aa4fb2-67ea-453d-83b7-4dfee613837c · outbound

This paper cites an unresolved cited work.

Bounding Curvature Measure on Manifolds with Singularities Unresolved cited work

Reference 10

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Observation 7ef1179b-84ba-44ec-8dea-6c780a19e95e · outbound

This paper cites Naber, Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds, SIGMA16(2020), 104.

Bounding Curvature Measure on Manifolds with Singularities Naber, Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds, SIGMA16(2020), 104

Reference 11

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Observation bbbf8e9c-0e10-4ddc-852c-7cb38070ce87 · outbound

This paper cites an unresolved cited work.

Bounding Curvature Measure on Manifolds with Singularities Unresolved cited work

Reference 12

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unresolved
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Unavailable: canonical work link unavailable.

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Observation 72b73229-57c9-4c5b-a9f3-f446f8bea6ce · outbound

This paper cites Petrunin,Polyhedral approximations of Riemannian manifolds, Turkish J.

Bounding Curvature Measure on Manifolds with Singularities Petrunin,Polyhedral approximations of Riemannian manifolds, Turkish J

Reference 13

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source=pdf_text observed=2026-06-27T15:34:52.040334Z digest=sha256:48488c922aa031e14e6c2c39d64e9bebfb0a49a6ae7f52ff4a05107ad3eb433e

Observation e0a52b70-9cc1-45de-9ba4-4b3dc5558efb · outbound

This paper cites Petrunin, An upper bound for the curvature integral,St.

Bounding Curvature Measure on Manifolds with Singularities Petrunin, An upper bound for the curvature integral,St

Reference 14

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source=pdf_text observed=2026-06-27T15:34:52.040334Z digest=sha256:b1c764ccd30b4078c9276078c9db5d39ce1634f763bf73e89504b4043ecf0687

Observation 4fd6a771-19ad-45b5-98aa-82758146d23a · outbound

This paper cites Yau, Open problems in geometry, Chern – a great geometer of the twentieth century, 275–319,Int.

Bounding Curvature Measure on Manifolds with Singularities Yau, Open problems in geometry, Chern – a great geometer of the twentieth century, 275–319,Int

Reference 15

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T15:34:52.040334Z digest=sha256:2d4d7569df054f2989b4f1857a399547dc38464ea2f01e716875ac7781673e7b

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