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Paper Citation Record · LEDGER

Reciprocal Transformations and Their Discrete Maharam Extensions

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.866808Z digest=sha256:66b8f583143e7b9182d640784efaf9384bd40a79c5656b93fae237d4db18ce41

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.875499Z digest=sha256:bc4578ee5c9f7bbc69764666ba599a0d884d8a76fb60cabc10f0a13d388a854d

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.883473Z digest=sha256:5ce3edb157fb71a02c81faba80d1d9e83dc23c0295570329a92f4d70195e2bc4

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.889167Z digest=sha256:ead9beebe3d7f4145fb8cc7d68ba3579e833b89378a5b3ace7d21098438df21c

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.895982Z digest=sha256:3676640a782f2ee66ea976c79620e857cee6d86396685482f28325419f0b1690

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.902145Z digest=sha256:1144e3a16790b44648b67cc55de24fc0bea7739d519da4f6569f3183578b13fa

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.912710Z digest=sha256:1b8c9607b6391c513872711747155de95766adf4c070c99f4d8dea8e897433b0

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.918660Z digest=sha256:f8079775914f183fa6b3d778a2f5d8a78e9d246311048c84410ba91d7b046a20

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.924814Z digest=sha256:86003cab9c74d8c2ac0cde04db4af100a431b4742e4bfa3dd25cf29432f53bfb

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.935312Z digest=sha256:c0f1e1d947c7165a1b950b23d873b3aff20020b617fa392ee017681718fa7c0d

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.942037Z digest=sha256:41f2161d91161e8f9c929dd12dc1cc1dc087f035f7cb49faf02a5a4165c3986e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.949363Z digest=sha256:5973852871b063ccf5e1a7a667850e91e70a871f15bea25ce86ddd558b2fa14d

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.958891Z digest=sha256:d13e0a53b09d72b4cb66b7dc8a1f79076673e8259c492fcd7288d0e37408da49

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.965908Z digest=sha256:46e4920ea48ec9262cea0ced6078870de5bdff43fe2b87fc339b66d20c440979

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.972304Z digest=sha256:8122d90fac4e8ad0abc221c811e82098b56e436256bf6fa824a76c29c3ae2b5d

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.977676Z digest=sha256:126f4f12764a69bcd8933633d078cf42b336732d2c536e3c9f6d3902fbbc176a

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=sha256:1616bf8a0c132d34760232e39fa8a392203f52db4a11ce26886fb241f31801e9

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T23:01:12.989307Z digest=sha256:b2e8e3db75e77e0ce293f8842d893060cba4cf2a528b9af26c8cc0a9935fb710

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=sha256:96f3abc9edb5d2ffde9f114b1eb4b56425ea45be6d45bbf4b487f0267c2d074f

Pith citing papers

No inbound Pith citation observations are available.