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Paper Citation Record · LEDGER

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.08420.

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

pith.paper-citation-record.v1
1908.08420 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:50:33.003668Z

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 fuzzy6
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b95dba1a-9f6f-464d-8bda-c879363cacc1 · outbound

This paper cites an unresolved cited work.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:50:33.263663Z

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=2026-08-14T11:50:32.931048Z digest=sha256:e924c3425e5cb82a2527a013e91acc932ee06cf7ed37cc6b0887ec730d1acf18

Observation 5c8e13b3-e6f6-46d1-b4cb-398a41475510 · outbound

This paper cites an unresolved cited work.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:50:33.247620Z

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=2026-08-14T11:50:32.937413Z digest=sha256:eff141e52b1f847eeab62076683642981567f2fb52f5786e47bcf718294a9aa0

Observation b09df78f-2f67-402e-9ab3-1c097d1fe97e · outbound

This paper cites Dedekind.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Dedekind

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:50:33.229945Z

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=2026-08-14T11:50:32.942464Z digest=sha256:91bcef8e15754ea5102acc25b5167c469da1b8323dcdddb8732c58691af37010

Observation f3ebfcdc-3400-4a21-bfcc-fa76b69347bb · outbound

This paper cites an unresolved cited work.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:50:33.212745Z

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=2026-08-14T11:50:32.947453Z digest=sha256:532188f2d4be90f1b5d4eb1184c80bd8e813659f67f5702520245083f91cfdee

Observation f14fe01b-afc5-4b2a-b402-1a5be1fb739f · outbound

This paper cites Herfort, K.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Herfort, K

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:50:33.180825Z

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=2026-08-14T11:50:32.957720Z digest=sha256:8ab8b4e87a4b5d3db3933168ebd72953f55bfa206527f5b97fcbea7fe6711c2b

Observation b55dcba9-7886-4ec9-9fcb-390b27b9a294 · outbound

This paper cites Herfort, K.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Herfort, K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:50:33.165159Z

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=2026-08-14T11:50:32.963730Z digest=sha256:85120684729f1c6f9e783e84811cd1679981c7d6374446d75abaeee965375143

Observation 1f424c94-2aa5-4cd0-9507-2968c19c4184 · outbound

This paper cites Herfort, K.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Herfort, K

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:50:33.148971Z

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=2026-08-14T11:50:32.970211Z digest=sha256:5dc547918cc6a5f0986afb1a9c48a538ceb4b5386c81bc92d9e7211f122550fb

Observation 7b3da30c-3748-4666-bc1b-ed6f94941051 · outbound

This paper cites Hewitt and K.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Hewitt and K

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:50:33.131355Z

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=2026-08-14T11:50:32.976913Z digest=sha256:1d8db7e4b58be2d6c8c3d62c66ce4d582fef0e5ac40d4fc1c7c1325297826220

Observation b1cb288e-e174-4e94-a7eb-e7486489e0ea · outbound

This paper cites an unresolved cited work.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:50:33.112907Z

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=2026-08-14T11:50:32.982097Z digest=sha256:1193dc9a998fac18608f076b813878e137a6d118c70335b3b4a02bcb6ddda9d5

Observation cc4f14fd-0612-4095-83fa-eda65752d315 · outbound

This paper cites an unresolved cited work.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:50:33.095827Z

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=2026-08-14T11:50:32.987516Z digest=sha256:8f96afcb7616338c45bc8feab72e4ea6d3a0f0fb74d986171eda3672b0209e2c

Observation b3a23871-c18e-4c7e-98fb-5383946f74f0 · outbound

This paper cites an unresolved cited work.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:50:33.079076Z

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=2026-08-14T11:50:32.993481Z digest=sha256:7904d4e59cfd8d3198f619c19497e92a04d2327a4df4584a187dda249d655b50

Observation fa583cb2-3a64-4344-8577-61dce219a6a5 · outbound

This paper cites Ribes and P.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Ribes and P

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:50:33.060726Z

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=2026-08-14T11:50:32.998488Z digest=sha256:531749c2fa599c9af306377adf338600637f283630bdd15c6a955eaae4c6a9f7

Observation b6f8a563-79a9-4182-9f78-b4aa492c02a2 · outbound

This paper cites an unresolved cited work.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:50:33.042433Z

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=2026-08-14T11:50:33.003668Z digest=sha256:0d72f3a8de1bd2ce039d8c070c2e0a0d3e123485db424b791dca3299d80dfafa

Observation f85cd7da-4b95-42d1-8073-6b1232f311cd · outbound

This paper cites an unresolved cited work.

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:50:33.196285Z

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=2026-08-14T11:50:32.952448Z digest=sha256:de9f88124df49269151e75cabbdb572f71a39dcffc0c1249d539b395ffe8fc13

Pith citing papers

No inbound Pith citation observations are available.