Paper Citation Record · LEDGER

MacWilliams Theory over Zk and nu-functions over Lattices

As of 21 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2504.17589.

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

pith.paper-citation-record.v1
2504.17589 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:46:33.876236Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

29 of 29 outbound references displayed

verified exact0
verified fuzzy10
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 32c7f835-7e6a-484e-b9b4-f04e0fbb469e · outbound

This paper cites Abdelghany, J.A.

MacWilliams Theory over Zk and nu-functions over Lattices Abdelghany, J.A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:46:34.201154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 59746998-3e4c-417f-8f92-dcc53695facd · outbound

This paper cites Barlaud, P.

MacWilliams Theory over Zk and nu-functions over Lattices Barlaud, P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:46:34.190066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9eec9d5d-28a8-4a8f-b4aa-42fb06e76cc8 · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:34.178685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8d9c8e24-64c2-4137-980b-893ce637b0de · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:34.168513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 28d46183-e6b1-40df-a818-2112158605be · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:34.158466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ce42a13b-d5f2-4980-95e2-7c80278d436d · outbound

This paper cites Sphere packings, lattices a nd groups.

MacWilliams Theory over Zk and nu-functions over Lattices Sphere packings, lattices a nd groups

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:46:34.148087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation deb7242b-b956-4d21-ba8d-027f93c5d90c · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:34.137140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 22b57d75-9f33-490f-a29b-90bc2b00ee65 · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:34.127503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a7aae992-2949-450f-bf48-53537d8e59af · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:34.117485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8a245872-954d-4cc1-b08c-86650cffb403 · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:34.107335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 323b13d5-a114-419a-aa58-8ca978fb7631 · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:34.097207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 41663491-2d9f-4db0-a650-a3005ec2edaf · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:34.087246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation af795957-43ee-4dce-8340-96b33b475d57 · outbound

This paper cites MacWilliams.

MacWilliams Theory over Zk and nu-functions over Lattices MacWilliams

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:46:34.077550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation eef919fe-7f10-49f3-a6c9-6fe13c1ee3ef · outbound

This paper cites Ray-Chaudhuri, I.

MacWilliams Theory over Zk and nu-functions over Lattices Ray-Chaudhuri, I

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:46:34.067354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 327a8fc5-39fa-434b-8d80-0266b37f772e · outbound

This paper cites Ray-Chaudhuri, I.

MacWilliams Theory over Zk and nu-functions over Lattices Ray-Chaudhuri, I

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:46:34.056941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 24ccaf72-9734-4903-969e-de6c1a77dcc3 · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:34.046028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 269491d8-dfea-47ca-a0a7-07f55b7fc7dc · outbound

This paper cites Sch¨ utzenberger.

MacWilliams Theory over Zk and nu-functions over Lattices Sch¨ utzenberger

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:46:34.036201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f33dfb40-c479-478a-8e11-09f0bbdf53f3 · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:34.025915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0c09985f-9db7-4a82-b432-a320e2d6306f · outbound

This paper cites Shiromoto.

MacWilliams Theory over Zk and nu-functions over Lattices Shiromoto

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:46:34.015344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0316d5f2-04b0-450b-9c62-133f663ee15f · outbound

This paper cites Shiromoto.

MacWilliams Theory over Zk and nu-functions over Lattices Shiromoto

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:46:34.005005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e7234ab9-493f-4e6a-bccc-1f28df733370 · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:33.994291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d864906d-ff0d-4202-a995-0c55b11f928c · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:33.983571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 07344f79-fe82-4041-88f0-670fa6b3f032 · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:33.972353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 925eeaee-b362-4ceb-9edd-3de8dc5ea338 · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:33.962092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 01389633-beb4-4e93-bc1d-95caffd2e3c2 · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:33.951341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b7a26beb-140c-49ab-9237-445d3c7fda2b · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:33.940655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9782da6c-dadd-4614-bb9b-e1becef52315 · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:33.929564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c1e578c2-3a85-4668-a855-3d74ace38b12 · outbound

This paper cites an unresolved cited work.

MacWilliams Theory over Zk and nu-functions over Lattices Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:46:33.918601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b75e5e3e-1c49-4858-be90-0329e6de3bb7 · outbound

This paper cites Zheng, F.

MacWilliams Theory over Zk and nu-functions over Lattices Zheng, F

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:46:33.907494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.