Pith. sign in

Paper Citation Record · LEDGER

On Two Families of Funk-Type Transforms

As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1908.06794.

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

pith.paper-citation-record.v1
1908.06794 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:46:04.259640Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

29 of 29 outbound references displayed

  • verified exact3
  • verified fuzzy14
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4ff41b66-b7f5-43ee-82e0-9ee6e10186ff · outbound

This paper cites Abouelaz and R.

On Two Families of Funk-Type Transforms Abouelaz and R

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.765369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.094862Z digest=sha256:e7696bea7656f15b2364ccd38530dc3d4b7d5457da0ed5f3e9cad749868bd755

Observation 7d159f9e-d4ae-4fc4-a74a-c42e5de792f0 · outbound

This paper cites Non-geodesic Spherical Funk Transforms with One and Two Centers.

On Two Families of Funk-Type Transforms Non-geodesic Spherical Funk Transforms with One and Two Centers

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:46:04.364887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.101042Z digest=sha256:fe9df7d537438827a4ac29a0ce7a9f94f83f15e12f4bb81cacbca40cc07777e2

Observation 9fa8a64a-204c-4f9d-a784-e79d2d6c071a · outbound

This paper cites an unresolved cited work.

On Two Families of Funk-Type Transforms Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:46:04.749894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.107140Z digest=sha256:96fc8f1c0daabf4ee368804cdd77e0c72c90a2b8e286f351ebfdeef5778693ca

Observation 2673fd7e-8ed6-4864-906c-1558a194f27e · outbound

This paper cites an unresolved cited work.

On Two Families of Funk-Type Transforms Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:46:04.734404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.113603Z digest=sha256:8379ad03439a3b2690d85cc2a5781f5112a8dcec6bd52a47166f4332a6def76e

Observation 327b4bb8-b743-4b29-866e-7e374f3d91a7 · outbound

This paper cites an unresolved cited work.

On Two Families of Funk-Type Transforms Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:46:04.718104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.119491Z digest=sha256:94c89c97da00510752c3961a0913dc5775618e55bb09069a60d12bb89e90d9b3

Observation 797e05d3-d9a7-4d6c-b058-f233f54e28e6 · outbound

This paper cites an unresolved cited work.

On Two Families of Funk-Type Transforms Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T12:46:04.125581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:46:04.125581Z digest=sha256:a8a7807e7edd908a8aea2e64af6597c1c493514854569e860074be2c22f2ae4a

Observation 2cd45422-6bce-4125-93b3-971cb448d784 · outbound

This paper cites Gindikin, J.

On Two Families of Funk-Type Transforms Gindikin, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.689101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.132084Z digest=sha256:8702d6efb2d94b79709cdaf73366aa863cda76aeef80b16ce5fd723b854d8e61

Observation d54786ee-0635-42c9-95b6-51c197cb220c · outbound

This paper cites Helgason, The totally geodesic Radon transform on constant curvature spaces.

On Two Families of Funk-Type Transforms Helgason, The totally geodesic Radon transform on constant curvature spaces

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.672809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.137030Z digest=sha256:8ad4036a5a5baff8d70be831edfc59682020dc66b582fc7549e5597522b8ac72

Observation b4f3a7bd-8638-4809-82ea-defc77c3b718 · outbound

This paper cites Helgason, Integral geometry and Radon transform.

On Two Families of Funk-Type Transforms Helgason, Integral geometry and Radon transform

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T12:46:04.142129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:46:04.142129Z digest=sha256:fde5f5afdf65f2b12c304c6afbf8a7a97cfa1be75c2d2acfdd7c21fce272af13

Observation 1f542f4d-19aa-4a31-9ce0-d49454db4628 · outbound

This paper cites Hielscher and M.

On Two Families of Funk-Type Transforms Hielscher and M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.643835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.148146Z digest=sha256:22435b829523f699a8ee68442e5e85583f3b1baf8f8ca7899a42d385225380db

Observation 2b3d8a81-3197-408d-a33c-5e97d812e03a · outbound

This paper cites an unresolved cited work.

On Two Families of Funk-Type Transforms Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:46:04.628370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.153414Z digest=sha256:77a84e99fbf8e8f0881f938c65774b808b1bb1aac69571055eb6fb3450f56db5

Observation 74a36029-9212-4dec-b09c-f73bf90df8ce · outbound

This paper cites an unresolved cited work.

On Two Families of Funk-Type Transforms Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:46:04.611357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.159233Z digest=sha256:5c8dd121ddf42320bb7150b4780f3cee231f798ce5e5de685e230f864537dbbb

Observation 93e3b932-c3be-45d7-a1fd-ed2ca5daff3b · outbound

This paper cites Minkowski, ¨Uber die K¨ orper konstanter Breite [in Russian].

On Two Families of Funk-Type Transforms Minkowski, ¨Uber die K¨ orper konstanter Breite [in Russian]

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.591760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.165147Z digest=sha256:5dea8a7a963ef3603bfdce3b6311adf764997dea082943141d0b8ead2fdee98b

Observation 6434bb56-c8e0-460c-ac41-065b9a41a20c · outbound

This paper cites Muirhead, Aspects of multivariate statistical theory , John Wiley & Sons.

On Two Families of Funk-Type Transforms Muirhead, Aspects of multivariate statistical theory , John Wiley & Sons

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.573593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.170236Z digest=sha256:4e8a9b3b6f0d5f1df46516ba71485e9481c46d56c8d54abc89a11ad9cd81a753

Observation 671ae075-1952-4895-98a2-aae5876b7b12 · outbound

This paper cites Palamodov.

On Two Families of Funk-Type Transforms Palamodov

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T12:46:04.175727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:46:04.175727Z digest=sha256:9dd2bf64564657fa39d3c09785ae668da20089594e4827bd3f61d080acc48a58

Observation 44987cd9-46cf-403e-a03c-9f69142f9712 · outbound

This paper cites Palamodov, Reconstruction from Integral Data.

On Two Families of Funk-Type Transforms Palamodov, Reconstruction from Integral Data

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.534629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.187562Z digest=sha256:cfc5162d53be8255f37df1ddccf54c83abb36142af816377d665fdecd9127eb0

Observation f4d0f9ce-2a2d-4c2c-ab64-dead1597f93d · outbound

This paper cites Quellmalz, A generalization of the Funk-Radon transform.

On Two Families of Funk-Type Transforms Quellmalz, A generalization of the Funk-Radon transform

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.514314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.193528Z digest=sha256:bd1b76686ae91a041d8f968626f33ac283db0d96e8fcb36f1f19198364f9e3de

Observation ec4fdd4d-a70d-43dd-a0a6-3db628e1b8ed · outbound

This paper cites The Funk-Radon transform for hyperplane sections through a common point.

On Two Families of Funk-Type Transforms The Funk-Radon transform for hyperplane sections through a common point

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:46:04.340377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.199461Z digest=sha256:3f3b28c4265f10baaece9f6ce5e69fc114bffbccc82794f407b7253055684fc3

Observation 5b8ec981-61d6-4caa-b04c-45b61748852b · outbound

This paper cites Rubin, Inversion formulas for the spherical Radon transfo rm and the gener- alized cosine transform.

On Two Families of Funk-Type Transforms Rubin, Inversion formulas for the spherical Radon transfo rm and the gener- alized cosine transform

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.496086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.205181Z digest=sha256:8eb3d2f79b645731c08c0d11ea833a8d2ddcdffdd93a9cbc536ff1d0c39b7479

Observation a82ec867-5da4-4702-af9d-202ce600411d · outbound

This paper cites Rubin, Reconstruction of functions from their integrals ove r k-dimensional planes.

On Two Families of Funk-Type Transforms Rubin, Reconstruction of functions from their integrals ove r k-dimensional planes

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.479312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.212341Z digest=sha256:ebb1fce7dd97b699fcf7c593cc169367325288e88610e5b4d905d37b4da52835

Observation 59095765-8e89-4012-b9a1-21e57427fd38 · outbound

This paper cites Rubin, On the Funk-Radon-Helgason inversion method in integ ral geometry.

On Two Families of Funk-Type Transforms Rubin, On the Funk-Radon-Helgason inversion method in integ ral geometry

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-14T12:46:04.218859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:46:04.218859Z digest=sha256:b57412802f54d18a524a22e4c4cc8bb696128a24f0830158ad86ed1445aeefd3

Observation 8d436304-5ea1-4615-b91e-41fb9504eb32 · outbound

This paper cites an unresolved cited work.

On Two Families of Funk-Type Transforms Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T12:46:04.224697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:46:04.224697Z digest=sha256:7f476dd6bc72fc29e659c8db54a94ed8f446c525cb9284c8cc09314dfb8dcebb

Observation 935dab7e-3d23-42ee-96cc-b254019f7ca0 · outbound

This paper cites an unresolved cited work.

On Two Families of Funk-Type Transforms Unresolved cited work

Reference 23

Resolution
verified exact
doi, observed 2026-08-14T12:46:04.297745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.231290Z digest=sha256:0d55343182c58b4d3694088bbaf4fe04dee5b8eee5a019a1f9d33b974b0d322e

Observation fb1af33c-ef27-4ad2-afb2-cbc1cc84969c · outbound

This paper cites The Vertical Slice Transform in Spherical Tomography.

On Two Families of Funk-Type Transforms The Vertical Slice Transform in Spherical Tomography

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-14T12:46:04.236914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:46:04.236914Z digest=sha256:0a3823c92725c2c416f1fc10e9881fc7b7c8154734e8531acefce6597200ec89

Observation ca1e1b1f-7687-4301-8887-084ad7281814 · outbound

This paper cites Rudin, Function theory in the unit ball of Cn, Springer-Verlag, New York, NY, 1980.

On Two Families of Funk-Type Transforms Rudin, Function theory in the unit ball of Cn, Springer-Verlag, New York, NY, 1980

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.437205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.243113Z digest=sha256:29c342ee6c20bc9c324391b06d8f39eedc141c13a69b8d07853ce05add6f6c14

Observation 80e86f63-5ff5-4df4-8511-5575e7b15c55 · outbound

This paper cites Salman, An inversion formula for the spherical transform in S2 for a special family of circles of integration.

On Two Families of Funk-Type Transforms Salman, An inversion formula for the spherical transform in S2 for a special family of circles of integration

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.418712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.248956Z digest=sha256:1630e2e0b6b6238e528bf40bfeb42c99ef65a33a021a3f881a31abc8ff4001a7

Observation 8a70929a-058c-4243-afa4-5d4414ce0ce4 · outbound

This paper cites Salman, Recovering functions defined on the unit sphere by in tegration on a special family of sub-spheres.

On Two Families of Funk-Type Transforms Salman, Recovering functions defined on the unit sphere by in tegration on a special family of sub-spheres

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.401201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.253833Z digest=sha256:d00c97d7a240531e873d7515b3d4d4160b68c65969693ef77f9eb0f4131a3de1

Observation 0afa876c-ef8a-485e-b116-0e907a93b564 · outbound

This paper cites Stoll, Harmonic and subharmonic function theory on the hyperbolic ball.

On Two Families of Funk-Type Transforms Stoll, Harmonic and subharmonic function theory on the hyperbolic ball

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:04.383173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:04.259640Z digest=sha256:5a2f54bcaa1cc52b6b35a56604941e97d6a89a5a3bacced9565b370c8db7e333

Observation d2e4e344-19b6-449a-9e02-c0b279e6a1fb · outbound

This paper cites an unresolved cited work.

On Two Families of Funk-Type Transforms Unresolved cited work

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-14T12:46:04.181555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:46:04.181555Z digest=sha256:b950f2c8863ac751d71dcdf3f177c4155c97f61381d3e6ae06940965967fdf49

Pith citing papers

No inbound Pith citation observations are available.