Paper Citation Record · LEDGER

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2505.23274.

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

pith.paper-citation-record.v1
2505.23274 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:02:32.442139Z

measured 24 of 24 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

24 of 24 outbound references displayed

verified exact8
verified fuzzy4
unresolved4
parse uncertain0
malformed identifier5
metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6a022516-22f2-4298-a1f3-677e7dbf6692 · outbound

This paper cites Problemy Peredachi Informatsii 13(1), 33–39 (1977).

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Problemy Peredachi Informatsii 13(1), 33–39 (1977)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:02:36.268693Z

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.

Observation d32d0397-fd5a-421b-b58b-aa18256a3ea5 · outbound

This paper cites Journal of Pure and Applied Algebra162(2-3), 273–290 (2001) https://doi.org/10.1016/ S0022-4049(00)00134-1.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Journal of Pure and Applied Algebra162(2-3), 273–290 (2001) https://doi.org/10.1016/ S0022-4049(00)00134-1

Reference 2

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T13:02:36.122266Z

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.

Observation 20fefddd-1597-470f-83c2-fdff7f2bd325 · outbound

This paper cites Designs, Codes and Cryptography35(2), 211–225 (2005) https://doi.org/ 10.1007/s10623-005-6403-4.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Designs, Codes and Cryptography35(2), 211–225 (2005) https://doi.org/ 10.1007/s10623-005-6403-4

Reference 3

Resolution: verified exact; doi, observed 2026-08-07T13:02:34.270390Z

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.

Observation 0e73f0bd-e8b9-4ad5-ab02-8c252f670529 · outbound

This paper cites Advances in Mathe- matics of Communications14(2), 279–299 (2020) https://doi.org/10.3934/amc.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Advances in Mathe- matics of Communications14(2), 279–299 (2020) https://doi.org/10.3934/amc

Reference 4

Resolution: malformed identifier; doi_truncated, observed 2026-08-07T13:02:34.082039Z

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.

Observation 0122e6da-f9c8-4673-8184-08782b3b8e16 · outbound

This paper cites Designs, Codes and Cryptography86(1), 211–230 (2018) https://doi.org/10.1007/s10623-017-0335-7.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Designs, Codes and Cryptography86(1), 211–230 (2018) https://doi.org/10.1007/s10623-017-0335-7

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T13:02:30.593069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c9f771e-37aa-4141-8ed0-a12c41f4b51d · outbound

This paper cites Finite Fields and Their Applications53, 287–308 (2018) https://doi.org/10.1016/j.ffa.2018.07.001.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Finite Fields and Their Applications53, 287–308 (2018) https://doi.org/10.1016/j.ffa.2018.07.001

Reference 6

Resolution: verified exact; doi, observed 2026-08-07T13:02:33.859681Z

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.

Observation eca39031-8b6a-4759-8c23-87ed25e69cf3 · outbound

This paper cites Bulletin of the Brazilian Mathematical Society, New Series49(2), 419–429 (2018) https://doi.org/10.1007/s00574-017-0059-3.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Bulletin of the Brazilian Mathematical Society, New Series49(2), 419–429 (2018) https://doi.org/10.1007/s00574-017-0059-3

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T13:02:30.788490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0979aef-43e2-4a88-957a-5875ba1a0180 · outbound

This paper cites Castellanos, A., Mendoza, E.A.R., Tizziotti, G.: The set of pure gaps at several rational places in function fields.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Castellanos, A., Mendoza, E.A.R., Tizziotti, G.: The set of pure gaps at several rational places in function fields

Reference 8

Resolution: verified exact; doi, observed 2026-08-07T13:02:33.597971Z

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.

Observation 89f371b0-a056-4868-a589-f1992396e689 · outbound

This paper cites IEEE Transactions on Information Theory62(9), 4867–4872 (2016) https://doi.org/10.1109/TIT.2016.2583437.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions IEEE Transactions on Information Theory62(9), 4867–4872 (2016) https://doi.org/10.1109/TIT.2016.2583437

Reference 9

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T13:02:35.052152Z

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.

Observation 757c5dd0-af95-44aa-8bd1-e3a57db40ff2 · outbound

This paper cites Designs, Codes and Cryptography92(5), 1219–1242 (2024) https://doi.org/10.1007/s10623-023-01339-w.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Designs, Codes and Cryptography92(5), 1219–1242 (2024) https://doi.org/10.1007/s10623-023-01339-w

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T13:02:31.118322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65d010fc-c12b-4090-a0d8-d3167fd850e8 · outbound

This paper cites Finite Fields and Their Applications52, 319–335 (2018) https://doi.org/10.1016/j.ffa.2018.04.008.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Finite Fields and Their Applications52, 319–335 (2018) https://doi.org/10.1016/j.ffa.2018.04.008

Reference 11

Resolution: verified exact; doi, observed 2026-08-07T13:02:33.434834Z

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.

Observation 13e30cf4-4e09-4a31-a359-5648740034c6 · outbound

This paper cites Designs, Codes and Cryptography22(2), 107–121 (2001) https://doi.org/10.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Designs, Codes and Cryptography22(2), 107–121 (2001) https://doi.org/10

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:02:35.924062Z

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.

Observation 03e126f3-f249-47d3-b105-a0b73eb2b5d4 · outbound

This paper cites Designs, Codes and Cryptography88(8), 1595–1616 (2020) https://doi.org/10.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Designs, Codes and Cryptography88(8), 1595–1616 (2020) https://doi.org/10

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:02:35.724558Z

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.

Observation d697aa42-aba9-4c0d-9254-e2dbc6fbd5a9 · outbound

This paper cites Bulletin of the Brazilian Mathematical Society, New Series50(2), 543–559 (2019) https://doi.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Bulletin of the Brazilian Mathematical Society, New Series50(2), 543–559 (2019) https://doi

Reference 14

Resolution: verified exact; doi, observed 2026-08-07T13:02:33.290743Z

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.

Observation dffe0bf9-a20e-4ebc-86f2-d55a116f3cf6 · outbound

This paper cites Finite Fields and Their Applications50, 251–271 (2018) https://doi.org/10.1016/ j.ffa.2017.12.002.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Finite Fields and Their Applications50, 251–271 (2018) https://doi.org/10.1016/ j.ffa.2017.12.002

Reference 15

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T13:02:35.563897Z

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.

Observation 12387d5d-1b4e-4a52-8f90-bb803709741a · outbound

This paper cites IEEE Transactions on Information Theory68(5), 3062–3069 (2022) https://doi.org/10.1109/TIT.2021.3140195.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions IEEE Transactions on Information Theory68(5), 3062–3069 (2022) https://doi.org/10.1109/TIT.2021.3140195

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T13:02:31.594085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb6c389b-6413-41d1-a3e9-aa32fa456e94 · outbound

This paper cites Journal of Pure and Applied Algebra228(4), 107513 (2024) https://doi.org/10.1016/j.jpaa.2023.107513.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Journal of Pure and Applied Algebra228(4), 107513 (2024) https://doi.org/10.1016/j.jpaa.2023.107513

Reference 17

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T13:02:34.761039Z

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.

Observation f82477fe-dc22-4d53-aef4-ec7c527f0cfa · outbound

This paper cites Retrieved [May 27, 2025].

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Retrieved [May 27, 2025]

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:02:35.410353Z

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.

Observation ae312ffd-22f2-41e0-bc84-396c60c8dd58 · outbound

This paper cites Graduate Texts in Mathematics, vol.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Graduate Texts in Mathematics, vol

Reference 19

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T13:02:35.289759Z

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.

Observation c2ab257d-3960-4342-bc7c-df7f272f26cd · outbound

This paper cites SIAM Journal on Applied Algebra and Geometry8(2), 394–413 (2024) https://doi.org/10.1137/21M1467936.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions SIAM Journal on Applied Algebra and Geometry8(2), 394–413 (2024) https://doi.org/10.1137/21M1467936

Reference 20

Resolution: verified exact; doi, observed 2026-08-07T13:02:33.124980Z

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.

Observation 3b8be59a-052a-49fb-bad1-71215cf014a6 · outbound

This paper cites Advances in Geometry19(3), 323–333 (2019) https://doi.org/10.1515/ advgeom-2018-0021.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Advances in Geometry19(3), 323–333 (2019) https://doi.org/10.1515/ advgeom-2018-0021

Reference 21

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T13:02:35.176372Z

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.

Observation 9e55d20b-9e0a-45fa-a93e-5d6efaa4a69f · outbound

This paper cites Finite Fields and Their Applications80, 102025 (2022) https://doi.org/10.1016/j.ffa.2022.102025.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Finite Fields and Their Applications80, 102025 (2022) https://doi.org/10.1016/j.ffa.2022.102025

Reference 22

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T13:02:34.568708Z

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.

Observation f4f9467f-3dd4-4ce7-b93d-b53d5e358af7 · outbound

This paper cites Acta Arithmetica 98(2), 181–195 (2001) https://doi.org/10.4064/aa98-2-8.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions Acta Arithmetica 98(2), 181–195 (2001) https://doi.org/10.4064/aa98-2-8

Reference 23

Resolution: verified exact; doi, observed 2026-08-07T13:02:32.914348Z

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.

Observation 3e1e164e-c4eb-4b53-8fbd-0c6cce3cc0bd · outbound

This paper cites manuscripta mathematica99(1), 39–53 (1999) https://doi.org/10.1007/s002290050161 35.

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions manuscripta mathematica99(1), 39–53 (1999) https://doi.org/10.1007/s002290050161 35

Reference 24

Resolution: verified exact; doi, observed 2026-08-07T13:02:32.700677Z

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.

Pith citing papers

No inbound Pith citation observations are available.