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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=sha256:5d01036b7e0b55e163a0a74738662295c5570b7cdd3e332cdbb6fd9317024b94

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=sha256:01c7a5e763c79119434511cef753db4ffd069786523c9b5d0cde7c44f154a239

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=sha256:03fe85b254f8e3758c54f288d8d15a66075e77cf1e67dd236c43639db4b3780b

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:bdeb3af870b66adde24f72a29b2d005bf1d1a18ba11479b5b01b0c4fcde4d4c0

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=sha256:5a6cd9f66d5acaae479f3981b2fa8cdd7f56fe796206563d0a2ddfffd9bf4817

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:fff034c8be9225888f8e5877da3f7388f14c50908f0ba4412506be8bc2a67849

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=sha256:263e0f316fbddcc8c6294148ab05c82093e1ed6d16c65968a3b554239015f1d3

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=sha256:740ff92da8154773fb8d6c49aea31aa20bf23ee3cbb251cc84af32aad3bf9778

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=sha256:1e5e884c84b2873b7a247991775b22bdff316dab949227dbe0a8dcf13d380f6d

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=sha256:13f48795c6973e3a781a1947fe90a430e4282cddb75b1cdc0d66b13e89ed2dad

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=sha256:83307dd15dc6134fa169293366b1fd80cd89e3e795235cbe76358d4a63784b5f

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=sha256:09dbcd84350c4674381b345531535e6ceb96175086161bdaace69f45180b8a0e

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=sha256:8cca8d1cf2475ea236e118ec0ba8d741329770cf3c23a08821acee5648b3a742

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:a734713e4e1f235b08cfb737fe51fb30ed0a0968cbcf38e294466cefc9d1d0b3

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=sha256:9be0562ecd033064a9e4631b51816d3b51dbea4527da70b2397a60fef63a570e

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=sha256:47d27140c13f85f4c87c1c694fc48d3b780c8f3eb9f72e6d6b91a5a5b2c49aa0

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=sha256:6f442b160b9ce3c31691753a6503a2f82854bc9a66f87fe0f0022d50ed012cc9

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=sha256:242bb6eb3fb706b1bd4cec10095aa1a36e282ec467ac91f6ed4c520b4409feb1

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=sha256:9c3dfc83fb249d31714953e3a79128bc0ed6e60918242db448c1db639deecae0

Pith citing papers

No inbound Pith citation observations are available.