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Paper Citation Record · LEDGER

Factorizations of linear relations by idempotents

As of 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:36.875298Z digest=sha256:0b888e0c24e07af48c425d045b705eda669e6b0fa87a46d27e2359ce68949202

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:37.011635Z digest=sha256:b54751c8191683abcf525c24bb644d3024637b63c71b33d60d4f59ee27b2c41d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:37.168378Z digest=sha256:32133d9f365f246ba300fde0014d1bca8ddfe98cfebb8a9dc31e1cb6df97e256

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:37.317813Z digest=sha256:5aee9eaf5d8fa2bf83269576bc6b62779328d2e52edfe704ff532da6d89eac9f

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:37.459982Z digest=sha256:0eb6bec96bafa339a2b9c38d99bb85b0cee488bfbc800df4b447031099ff58fc

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:37.616565Z digest=sha256:4689c6ff21f6c855972a0305da8dfa26f584ca2c65bcf153e1074cb14a4dbe03

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:37.762559Z digest=sha256:47743fc36e44cf4fd25b0702c602ac2911c5f98c49da01f6588dd1618623faa9

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:37.880460Z digest=sha256:980b12708db8238d85672bdf80cc74f905fa388f3787494423b367675cdd61a0

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:38.021721Z digest=sha256:ad79f98f1582edae1fc5010b0fde432b59b1cc186982568e89466a6842dfd880

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:38.158720Z digest=sha256:da0934e68559827c93b5a3dd6f4727fbb0d5d10110e4ffb353d51f1fb8a088ad

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:38.294217Z digest=sha256:43f89850634af1ee0001d7117c8673023a1c5e911d47d78ef20c7797479191f3

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:38.403646Z digest=sha256:8a43da389eb99747f1394f3ad998abbbbd45c1e1245ee5d380f6122de9b906cd

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:38.467709Z digest=sha256:d23f8b4afaa39c613d9965570b4d66ca5aa2150034a8fd7cd83ed1f7fe71a399

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:38.536142Z digest=sha256:f10c60c5bc054f1c57ba9fb6778b63be01c71739e93734ab46efcdd74960b12b

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T13:52:38.600611Z digest=sha256:47f7d646139ca3c954ab9da04b26909e051912ec644efa2a9ae376726ccff372

Pith citing papers

No inbound Pith citation observations are available.