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Paper Citation Record · LEDGER

On the existence and non-existence of centres of mass on Hilbert spheres

As of 23 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.13667.

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

pith.paper-citation-record.v1
2607.13667 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T04:35:46.780582Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

16 of 16 outbound references displayed

  • verified exact5
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 745b0f8e-c102-4c14-a284-9f65f1d94485 · outbound

This paper cites doi: 10.1007/978-94-010-9910-3˙63.

On the existence and non-existence of centres of mass on Hilbert spheres doi: 10.1007/978-94-010-9910-3˙63

Reference 16

Resolution
verified exact
doi, observed 2026-08-02T04:38:44.411579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 630bb5b1-81a2-49e5-a77c-05aa59778606 · outbound

This paper cites Fr\'echet Means in Infinite Dimensions.

On the existence and non-existence of centres of mass on Hilbert spheres Fr\'echet Means in Infinite Dimensions

Reference 1948

Resolution
unresolved
no resolver link, observed 2026-08-02T04:35:45.554096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:35:45.554096Z digest=sha256:1ad60b3cc2e5b1c838a4e3ba4ca080fc64f32fc0212034e0771a84ee83fa1eaf

Observation 8c1b0da9-67c8-4f09-98fc-c11f21e3954d · outbound

This paper cites doi: 10.1002/cpa.3160300502.

On the existence and non-existence of centres of mass on Hilbert spheres doi: 10.1002/cpa.3160300502

Reference 1977

Resolution
unresolved
no resolver link, observed 2026-08-02T04:35:45.891673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:35:45.891673Z digest=sha256:999058717bbac54d0807675a17c10dd76cd86c492e4b6edd37e50f9fccb73a4b

Observation 2ae57120-3437-42c0-9fa5-0e183bdc2c14 · outbound

This paper cites doi: 10.1112/blms/16.2.81.

On the existence and non-existence of centres of mass on Hilbert spheres doi: 10.1112/blms/16.2.81

Reference 1984

Resolution
unresolved
no resolver link, observed 2026-08-02T04:35:46.029573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:35:46.029573Z digest=sha256:1cc3661b9bfbb131081e8625f601229e303ef099bbed1a407bdadd45149be92e

Observation 691d1943-682c-417d-869c-d3008ce685d0 · outbound

This paper cites doi: 10.1112/plms/s3-61.2.371.

On the existence and non-existence of centres of mass on Hilbert spheres doi: 10.1112/plms/s3-61.2.371

Reference 1990

Resolution
unresolved
no resolver link, observed 2026-08-02T04:35:46.159574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:35:46.159574Z digest=sha256:b79ce7e5a3f383c21856e79e15e967389f17815d7408688494b1a03a3d42a206

Observation 799ee853-58b8-4551-867e-d5ff61c35e56 · outbound

This paper cites doi: 10.1112/jlms/s2-43.3.567.

On the existence and non-existence of centres of mass on Hilbert spheres doi: 10.1112/jlms/s2-43.3.567

Reference 1991

Resolution
unresolved
no resolver link, observed 2026-08-02T04:35:46.326775Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:35:46.326775Z digest=sha256:df5449b823779d4f82b63f323fbcdcb849abe61bdc1d5c6d122d0627e5c32c0d

Observation 1dc09f6f-ff3a-4775-b884-4c5539f2551b · outbound

This paper cites doi: 10.1017/S0001867800010818.

On the existence and non-existence of centres of mass on Hilbert spheres doi: 10.1017/S0001867800010818

Reference 2001

Resolution
verified exact
doi, observed 2026-08-02T04:38:44.546628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-02T04:35:46.483408Z digest=sha256:b0834a6ea43ac68b092f9b8c7a70528972f1002bf168c573f133b7242a3d0b08

Observation 420ee6e8-8e19-4c95-b7ac-b6346d042660 · outbound

This paper cites doi: 10.1214/009053605000000264.

On the existence and non-existence of centres of mass on Hilbert spheres doi: 10.1214/009053605000000264

Reference 2005

Resolution
verified exact
doi, observed 2026-08-02T04:38:45.036080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-02T04:35:45.178642Z digest=sha256:955348399ee00b0ed04bc12312f861301bf40e63dbae9d63509169b9512ccbe3

Observation 1569a904-9172-4f41-a7d1-a81ada527867 · outbound

This paper cites doi: 10.1090/S0002-9939-2010-10541-5.

On the existence and non-existence of centres of mass on Hilbert spheres doi: 10.1090/S0002-9939-2010-10541-5

Reference 2011

Resolution
unresolved
no resolver link, observed 2026-08-02T04:35:44.842389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:35:44.842389Z digest=sha256:75f4fa7d245f71a82d40417a6d0e66de6979e35e9bbd4d3b86e838a4f0b044be

Observation 4bb287f8-8389-4d7a-9211-4617db8c7b9a · outbound

This paper cites Xiongtao Dai.

On the existence and non-existence of centres of mass on Hilbert spheres Xiongtao Dai

Reference 2013

Resolution
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no resolver link, observed 2026-08-02T04:35:44.982755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:35:44.982755Z digest=sha256:4dc9cd6a951fd676a45beede921fb6aeba7c69754f59276a94d3667a2f273c26

Observation 0b5f6299-45f6-445d-a6dc-52c6c0c3f692 · outbound

This paper cites doi: 10.1002/9781118866641.

On the existence and non-existence of centres of mass on Hilbert spheres doi: 10.1002/9781118866641

Reference 2015

Resolution
verified exact
doi, observed 2026-08-02T04:38:44.802309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-02T04:35:45.293733Z digest=sha256:c1207e36a8df43164af4ce1a14df069cd6822a075232917fdc38a4fa87bf4214

Observation 61594774-1fb8-43ba-851c-663a298eaa8a · outbound

This paper cites doi: 10.21099/tk- bjm/1506353559.

On the existence and non-existence of centres of mass on Hilbert spheres doi: 10.21099/tk- bjm/1506353559

Reference 2017

Resolution
malformed identifier
no resolver link, observed 2026-08-02T04:35:46.686453Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ca121ef5-65aa-4ce5-8b4d-dac5b9808efb · outbound

This paper cites doi: 10.1214/21-EJS1942.

On the existence and non-existence of centres of mass on Hilbert spheres doi: 10.1214/21-EJS1942

Reference 2022

Resolution
verified exact
doi, observed 2026-08-02T04:38:45.300543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-02T04:35:45.114504Z digest=sha256:8834b27a0d68fdf84a4a08d13d3f41fa698d5cfa413a2abc150bd98743fd6e83

Observation 281c5e7e-5ab8-49a2-bff1-a9943f79c4fe · outbound

This paper cites doi: 10.3150/23-BEJ1603.

On the existence and non-existence of centres of mass on Hilbert spheres doi: 10.3150/23-BEJ1603

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-02T04:35:45.402077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:35:45.402077Z digest=sha256:75d6b505e9e42e21d9fe47f8b8f3728351085b270fd667fa32db33535d3a904b

Observation a049848a-2bd4-42b4-bb12-f54ae3e10133 · outbound

This paper cites doi: 10.1093/jrsssb/qkaf054.

On the existence and non-existence of centres of mass on Hilbert spheres doi: 10.1093/jrsssb/qkaf054

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-02T04:35:46.629680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 073209fb-5172-4737-bc2d-db76d055608d · outbound

This paper cites Fr\'echet Means in Infinite Dimensions.

On the existence and non-existence of centres of mass on Hilbert spheres Fr\'echet Means in Infinite Dimensions

Reference 2026

Resolution
unresolved
no resolver link, observed 2026-08-02T04:35:45.727159Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:35:45.727159Z digest=sha256:0d24863b2d5916864a30671554d0627cb35963578a3fffa0662b957e45ce625e

Pith citing papers

No inbound Pith citation observations are available.