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Paper Citation Record · LEDGER

Factorizations of linear relations by idempotents

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2505.21123.

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

pith.paper-citation-record.v1
2505.21123 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:52:38.600611Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d2e3ddf2-d003-4b8b-b9aa-c924f40de845 · outbound

This paper cites Antezana, M.L.

Factorizations of linear relations by idempotents Antezana, M.L

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:52:41.636191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:36.875298Z digest=sha256:b49c2516d3ce48537c98cfd5b7283b813d2acf4664c957a1fb8bafa890a7be97

Observation 2287fb87-8f40-47fd-a0ee-80d300df82e8 · outbound

This paper cites Arens,Operational calculus of linear relations, Pacific J.

Factorizations of linear relations by idempotents Arens,Operational calculus of linear relations, Pacific J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:52:41.463268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:37.011635Z digest=sha256:87e7bbfdb5e5f9b25068adc347d36f174e5e9b03a85b67d0a06fc16fa251c2ef

Observation 2f90f454-1405-486f-bb60-71f602883591 · outbound

This paper cites Arias, M.

Factorizations of linear relations by idempotents Arias, M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:52:41.299690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:37.168378Z digest=sha256:403f538c2d65adfa40d1c6e374302670bd99a0e04ea06d305ccb44adf6b2afd3

Observation 6d320ad5-469e-478b-a328-9977db174d8c · outbound

This paper cites Arias, M.

Factorizations of linear relations by idempotents Arias, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:52:41.054891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:37.317813Z digest=sha256:94257bbb2129391ff55f860ed26628038e18361a07625f2d37eb5b43173e9a1e

Observation b983d86f-0c1c-461e-8a96-cf831e96220d · outbound

This paper cites Arias, M.

Factorizations of linear relations by idempotents Arias, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:52:40.863419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:37.459982Z digest=sha256:af0aeda6f98aa85de25e79869f9716be4a069b43b31b9a537922048e4238f8aa

Observation d0da83e5-6989-4737-9a0c-92748faaabf9 · outbound

This paper cites Arias, G.

Factorizations of linear relations by idempotents Arias, G

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:52:40.579856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:37.616565Z digest=sha256:a41516a487167d1355a192f64f1589a39e25bc2835794e76e02e1080a8f252e1

Observation 86824466-4563-460a-8124-9adf860f8ba5 · outbound

This paper cites an unresolved cited work.

Factorizations of linear relations by idempotents Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:52:40.341895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:37.762559Z digest=sha256:59958a15ba6df249c0244cda9773ce48d7c0726d11510d8af2baca09a6fa2122

Observation 597b82bf-4f2a-4826-9e69-6aed970999c5 · outbound

This paper cites Corach, A.

Factorizations of linear relations by idempotents Corach, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:52:40.119794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:37.880460Z digest=sha256:4590370be86efc00c57a4f69b6714f0beace350f16069a76eaa124cefebdf0aa

Observation 279d3715-e20d-4549-9571-0ccf0cb1bcb6 · outbound

This paper cites Cross, D.

Factorizations of linear relations by idempotents Cross, D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:52:39.863192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:38.021721Z digest=sha256:60364147f43006a0934fc4594eef4902333a3bb5a1e1b130359303f82324444d

Observation 701a9e71-2d07-4411-b7e5-3f45f644dd06 · outbound

This paper cites an unresolved cited work.

Factorizations of linear relations by idempotents Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:52:39.614766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:38.158720Z digest=sha256:e2e2d564a37a2b42c04ee9fe5999bc545c3e0fb8fb29ab55ab6256c3aafde101

Observation b2952846-b374-4ace-9d5d-65d0032fce13 · outbound

This paper cites an unresolved cited work.

Factorizations of linear relations by idempotents Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:52:39.440448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:38.294217Z digest=sha256:58a20031a4400f2f0d34ceb6d9ed81d745bb704f277b06043f419f96a9469ca0

Observation 2a44ea06-a5c6-43d7-90f7-61db1dc2c8c4 · outbound

This paper cites an unresolved cited work.

Factorizations of linear relations by idempotents Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:52:39.222107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:38.403646Z digest=sha256:eb330ae3a7cbd4002ec3dd273130a2e8a0463285157d27726ad514ddcbfc8012

Observation cb64c6fb-4712-47c4-9dbc-0370c18d31ce · outbound

This paper cites Popovici, Z.

Factorizations of linear relations by idempotents Popovici, Z

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:52:39.055046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:38.467709Z digest=sha256:3cad7534b97736dd549427a5d1829e905d7378e774e8d95fc5bf79ccc1dc1fdd

Observation ebabba2c-31a5-4ecb-b604-f94af6faf0ec · outbound

This paper cites Radjavi, J.P.

Factorizations of linear relations by idempotents Radjavi, J.P

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:52:38.896801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:38.536142Z digest=sha256:46114e999d2b851bb82b95370b050a0e220afac97bae8efa1a6447d569f99910

Observation 29519b73-16ba-46b3-b2eb-2893fbe9db02 · outbound

This paper cites Alberto P. Calder´on.

Factorizations of linear relations by idempotents Alberto P. Calder´on

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:52:38.781437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:52:38.600611Z digest=sha256:a3c93227272184ad51397417285163d0f3779ea10577850b3655658cd8e66d52

Pith citing papers

No inbound Pith citation observations are available.