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Paper Citation Record · LEDGER

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.07368.

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

pith.paper-citation-record.v1
1908.07368 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:02:52.063390Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7a2b292c-a61d-4f59-8bf9-84f00f3528da · outbound

This paper cites Batoul, K.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Batoul, K

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:52.306731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.002671Z digest=sha256:4b084cec4c88912ab245bf2985eee92d3fd4f8f4d39531ab2b15c825ef3cbc6b

Observation 784685ec-9353-426c-9162-840d9108b753 · outbound

This paper cites Batoul, K.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Batoul, K

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:52.291214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.007881Z digest=sha256:d7e0ee5669c8842f93e7ef1985d9cf14ec4833419830d719cd1b340c4b57eb2e

Observation de0e1c34-3807-4727-945e-53b2e62cb37a · outbound

This paper cites an unresolved cited work.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:52.271670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.012334Z digest=sha256:a7ae145a42336535b584a80ddb101959742501521ed83cd1b245af8bf3eb51c9

Observation 821112a0-6fc2-438c-8c5a-21db68b820b8 · outbound

This paper cites an unresolved cited work.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:52.257176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.016896Z digest=sha256:f83e2d7232a3adac289193df841282a7b7472710522d060b3cab7d21076faa09

Observation 7d7a2574-8726-40c8-9f16-0367d7061bdb · outbound

This paper cites an unresolved cited work.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:52.241780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.021329Z digest=sha256:2ab09b2530f0e395567f2709eb9975ac1b10e173bb719116210c276808cbe758

Observation 662a4a39-fd1c-4e8c-986e-c6233d4592f6 · outbound

This paper cites Guenda, T.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Guenda, T

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:52.226301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.025756Z digest=sha256:056f452222b7ade7096d453520ec83ae716646c9d2289972f7ab2636698f6819

Observation 4ffdbc1e-c6c6-4501-ae74-ba9932fab6ed · outbound

This paper cites an unresolved cited work.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:52.210937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.030541Z digest=sha256:c4b90715a6513d597c4b2b2a2d1a3a043dc46f811cd98aea743ff954bb5ce3f8

Observation 5d169053-0fcd-49d1-baba-ddae7560a912 · outbound

This paper cites an unresolved cited work.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:52.195313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.034678Z digest=sha256:907b5b98a91c61972996d52d74985032d6bd42953ce2a9a89ee5bec4432b8d18

Observation 0b97ee88-62df-4ed8-9541-dc5cd9ba6524 · outbound

This paper cites Kanwar, S.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Kanwar, S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:52.180468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.038954Z digest=sha256:693c404a0b780a459bf87f311d8473c42c553dedb83dc376eef3f59210572613

Observation 2de06ce8-a229-4a97-aa68-c6b46db0240b · outbound

This paper cites an unresolved cited work.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:52.164588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.043268Z digest=sha256:6b7f9d920f930cdfe3f0c5f25a2d1cedcb2a4c4aa6142daee3319c0528c73609

Observation 8165054e-c1b1-4234-be63-d30a3f871eea · outbound

This paper cites Mart ´ ınez-Moro, I.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Mart ´ ınez-Moro, I

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:52.148108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.047994Z digest=sha256:45c0f66b1122144d054ce5aa6fcfec8a2d6abe97a3509177d7852c624625919f

Observation eeeecfd0-b86f-451a-9a31-2eccbf29390a · outbound

This paper cites an unresolved cited work.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:52.131435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.052688Z digest=sha256:d43ced46e3196859c04983aa7dea4cf6b5533c19828381093e354e8a7b5c8bbf

Observation e040d298-dbce-4aaf-a1c5-78ac4690006c · outbound

This paper cites an unresolved cited work.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:52.115899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.057556Z digest=sha256:9a4c696d7781c0c52860f77ead81503371c6772d9dea7ba9a975a707f271d971

Observation b2fb271a-22ef-4f61-a5b4-c0c376b4340c · outbound

This paper cites an unresolved cited work.

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:52.100115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:02:52.063390Z digest=sha256:9156a7bb95c88e5ad8ed479674d1a62969e470490756d5acc26efb88bc8256a3

Pith citing papers

No inbound Pith citation observations are available.