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Paper Citation Record · LEDGER

Reciprocal Transformations and Their Discrete Maharam Extensions

As of 23 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2501.00408.

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

pith.paper-citation-record.v1
2501.00408 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:01:12.997075Z

measured 19 of 19 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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2a70d9b7-acdc-45d2-88a9-d62b3fddd856 · outbound

This paper cites 50, American Mathematical Society, Providence, RI, 1997.

Reciprocal Transformations and Their Discrete Maharam Extensions 50, American Mathematical Society, Providence, RI, 1997

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:01:13.536517Z

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=arxiv_source observed=2026-08-10T23:01:12.866808Z digest=sha256:b0649e6b6b0230b2fc29f98f6c58ea0872cd5557f2d57be4cfb70d8dd50fc94d

Observation 4484ea24-df71-4c32-a1ea-4db83f5c476b · outbound

This paper cites an unresolved cited work.

Reciprocal Transformations and Their Discrete Maharam Extensions Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:01:13.511438Z

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=arxiv_source observed=2026-08-10T23:01:12.875499Z digest=sha256:6a275e3e7ce9618cd87fd9518581c41863529028ba5a883b4e9225c84690f4c0

Observation 40d31b29-b2ec-47ef-8a21-e6776331224a · outbound

This paper cites Danilenko, Infinite rank one actions and nonsingular C hacon transformations , Illinois J.

Reciprocal Transformations and Their Discrete Maharam Extensions Danilenko, Infinite rank one actions and nonsingular C hacon transformations , Illinois J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:01:13.487679Z

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=arxiv_source observed=2026-08-10T23:01:12.883473Z digest=sha256:65952d3a94f384059a5cfb9765a1c493d7c1d4a116ae68049140c80c047e0eae

Observation a5586baa-7b0c-4d0c-b575-f888453e4c08 · outbound

This paper cites an unresolved cited work.

Reciprocal Transformations and Their Discrete Maharam Extensions Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:01:13.462731Z

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=arxiv_source observed=2026-08-10T23:01:12.889167Z digest=sha256:c746160c50bc63713503d4e09eed4285c00dd09fe2d2ca028482e02e1cb47393

Observation 9afa4d39-5c49-4c36-b400-23e5cd630dc7 · outbound

This paper cites Danilenko and Cesar E.

Reciprocal Transformations and Their Discrete Maharam Extensions Danilenko and Cesar E

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:01:13.439009Z

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=arxiv_source observed=2026-08-10T23:01:12.895982Z digest=sha256:dd6f1a28b5c4ce7b01d24e7c1c72a2bfe6afccc98c21c216283a173f47e13246

Observation c93aa46c-4d20-46bd-9810-5b08a5106e19 · outbound

This paper cites an unresolved cited work.

Reciprocal Transformations and Their Discrete Maharam Extensions Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:01:13.411541Z

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=arxiv_source observed=2026-08-10T23:01:12.902145Z digest=sha256:783acab314e1308c5702d607c82753566745bb62ebc2a567e80f317bd56d50fa

Observation eabed4d7-4d7c-4a0b-be77-856108382324 · outbound

This paper cites an unresolved cited work.

Reciprocal Transformations and Their Discrete Maharam Extensions Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:01:13.382119Z

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=arxiv_source observed=2026-08-10T23:01:12.912710Z digest=sha256:0961da827e4d8eb5d6d3ff1fd0b3f908fe4a43e592d34fad7be77a41c880454e

Observation 37697642-e248-4a06-85c8-ab313d8d666d · outbound

This paper cites 3, Keio University, Department of Mathematics, Yokohama, 1981.

Reciprocal Transformations and Their Discrete Maharam Extensions 3, Keio University, Department of Mathematics, Yokohama, 1981

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:01:13.358443Z

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=arxiv_source observed=2026-08-10T23:01:12.918660Z digest=sha256:4e1eb95fad612a17646b681aa7fed65bcf0d2795b18a1320b5bcd871b04c22e9

Observation 03adbe52-3115-4149-8d47-4a20be23b8d8 · outbound

This paper cites I , II , Z.

Reciprocal Transformations and Their Discrete Maharam Extensions I , II , Z

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:01:13.320553Z

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=arxiv_source observed=2026-08-10T23:01:12.924814Z digest=sha256:2063eced80d81c103a5d5c5e88f11d36a9c6169e145bc82fce08fd312b55983c

Observation 8a12fc35-4f79-4715-9009-219acf718a0e · outbound

This paper cites C onf., O hio S tate U niv., C olumbus, O hio, 1970), Lecture Notes in Math., Vol.

Reciprocal Transformations and Their Discrete Maharam Extensions C onf., O hio S tate U niv., C olumbus, O hio, 1970), Lecture Notes in Math., Vol

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:01:13.293007Z

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=arxiv_source observed=2026-08-10T23:01:12.935312Z digest=sha256:9edf7c57cccbead288387ba41a5a8ad1b16cc2b89c911429f59e50c9d22768ce

Observation 60dd3952-d795-47a2-9643-1621ede3e89d · outbound

This paper cites Maharam, Incompressible transformations, Fund.

Reciprocal Transformations and Their Discrete Maharam Extensions Maharam, Incompressible transformations, Fund

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:01:13.269091Z

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=arxiv_source observed=2026-08-10T23:01:12.942037Z digest=sha256:dec32893b2aa3b167c2e3cd29af3b0385de34fd836d2c9fe190d17926c0d13fd

Observation c5ff878c-278b-44d1-90ca-0f3041d17891 · outbound

This paper cites an unresolved cited work.

Reciprocal Transformations and Their Discrete Maharam Extensions Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:01:13.236625Z

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=arxiv_source observed=2026-08-10T23:01:12.949363Z digest=sha256:0955684e06ecf2c15b24ca80771463e449c6de8555bc08268494ace880f0c5d8

Observation 9765f316-0823-453c-8dd1-1c717af39152 · outbound

This paper cites Ornstein, On invariant measures, Bull.

Reciprocal Transformations and Their Discrete Maharam Extensions Ornstein, On invariant measures, Bull

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:01:13.211365Z

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=arxiv_source observed=2026-08-10T23:01:12.958891Z digest=sha256:3fb84f9bb55977fcfd6072c55277d8775108c32ca01b0a1aead681a61e565921

Observation 3b607165-7ec8-4cc6-9068-bc956422722c · outbound

This paper cites 2, Cambridge University Press, Cambridge, 1989, Corrected reprint of the 1983 original.

Reciprocal Transformations and Their Discrete Maharam Extensions 2, Cambridge University Press, Cambridge, 1989, Corrected reprint of the 1983 original

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:01:13.185410Z

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=arxiv_source observed=2026-08-10T23:01:12.965908Z digest=sha256:a05645f12f41c5f93b60a969ad92780142d73f1d6d0a3d77ae95eff6ef9b5166

Observation 917f2f30-240c-41fe-b596-e69401ea10dc · outbound

This paper cites an unresolved cited work.

Reciprocal Transformations and Their Discrete Maharam Extensions Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:01:13.150538Z

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=arxiv_source observed=2026-08-10T23:01:12.972304Z digest=sha256:30aba39b4cfeb618f5ab10cc91fce9dc8611894f553308a178651e567bb61228

Observation c7c0896c-2112-46fa-8e2d-6d3afdbc8f8e · outbound

This paper cites an unresolved cited work.

Reciprocal Transformations and Their Discrete Maharam Extensions Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:01:13.127433Z

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=arxiv_source observed=2026-08-10T23:01:12.977676Z digest=sha256:cbdb11559389b4b175e73469c902d01297205a8e6cb65db86b3dcce5bfd734d9

Observation 7cca56ff-48ec-4a94-8b89-0a0a1ed6dede · outbound

This paper cites 79, Springer-Verlag, New York-Berlin, 1982.

Reciprocal Transformations and Their Discrete Maharam Extensions 79, Springer-Verlag, New York-Berlin, 1982

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-10T23:01:12.983210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T23:01:12.983210Z digest=sha256:e9486bbf5825b67845da12a02ab716dbc1dc83a5f2f38029ca4b69fe756e9de0

Observation ee73f886-cd79-407e-93fc-6cc5a0959bca · outbound

This paper cites an unresolved cited work.

Reciprocal Transformations and Their Discrete Maharam Extensions Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:01:13.086152Z

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=arxiv_source observed=2026-08-10T23:01:12.989307Z digest=sha256:99b65b09d3093a4ac489cb47a0dcede9f12862914fc34bbf18369f5188b4f446

Observation e0d9629d-4999-4d0e-909a-c91381e20834 · outbound

This paper cites Flat Surfaces.

Reciprocal Transformations and Their Discrete Maharam Extensions Flat Surfaces

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-10T23:01:12.997075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T23:01:12.997075Z digest=sha256:458bdab7dabec5f595c5c23646c74552ffaa3365ddbe5b4da4f3c547e55d5004

Pith citing papers

No inbound Pith citation observations are available.