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Paper Citation Record · LEDGER

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero

As of 16 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:1908.08521.

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

pith.paper-citation-record.v1
1908.08521 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:52:04.652158Z

measured 19 of 19 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:54:05.992142Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T13:54:06.073162Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact7
  • verified fuzzy7
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8c4feecf-e3bf-4c7a-9a19-3632e7301125 · outbound

This paper cites Andersen, Ein Bericht ¨ uber die Struktur abstrakter Halbgruppen, PhD Thesis, Hamburg, 1952.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Andersen, Ein Bericht ¨ uber die Struktur abstrakter Halbgruppen, PhD Thesis, Hamburg, 1952

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:52:04.884652Z

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=2026-08-14T11:52:04.585391Z digest=sha256:e0ba171e529d328c65012c71896405f4d29d1e4b3a4b4d2c5733ae34fca700b1

Observation 0bd4f379-7c41-4cfe-9494-ee647ed45a54 · outbound

This paper cites an unresolved cited work.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Unresolved cited work

Reference 2

Resolution
verified exact
doi, observed 2026-08-14T11:52:04.757060Z

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=2026-08-14T11:52:04.590031Z digest=sha256:d3875a2da3eeb33ff2b06bcb2962b759bdd226f92cf89808b1b708e0d2edf1fd

Observation b0eaa90d-03f9-4160-aa9c-a42a559e2fb8 · outbound

This paper cites Banakh, S.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Banakh, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:52:04.873180Z

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=2026-08-14T11:52:04.594092Z digest=sha256:cd231d5773c35eba19700f63803c21a799c641d4fc27aa902f43b5bbea0f35fe

Observation b2ee6e25-80b2-4be4-a90b-d5a70a2a7940 · outbound

This paper cites Banakh, S.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Banakh, S

Reference 4

Resolution
verified exact
doi, observed 2026-08-14T11:52:04.744598Z

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=2026-08-14T11:52:04.597960Z digest=sha256:9e7286f6feb218fa694b1ad13a82b837e6c7b4ce81a808d564135c054a5443fd

Observation 87076707-a293-4db4-befe-d6760d1e2c16 · outbound

This paper cites Bardyla, Classifying locally compact semitopological polycyclic m onoids, Math.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Bardyla, Classifying locally compact semitopological polycyclic m onoids, Math

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:52:04.861311Z

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=2026-08-14T11:52:04.602321Z digest=sha256:b5cc1c74dd2d7b895ebcfac57f04604da5a12b58bea4c633258af05f1a46d175

Observation afedcd74-2474-46bb-be3a-0563d3bcc2f8 · outbound

This paper cites Bardyla, On locally compact semitopological graph inverse semigrou ps, Mat.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Bardyla, On locally compact semitopological graph inverse semigrou ps, Mat

Reference 6

Resolution
verified exact
doi, observed 2026-08-14T11:52:04.732308Z

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=2026-08-14T11:52:04.606514Z digest=sha256:d01352040b31f91adb5ca9bf55a577d81ff3f784c493c99c79de91d4af33613e

Observation df9a49ab-23d0-4694-9cf3-3110908d866b · outbound

This paper cites an unresolved cited work.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:52:04.845514Z

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=2026-08-14T11:52:04.610809Z digest=sha256:afb0d1e615da0178a72a8acf06c21c443199546a269942c8e4b4686e22b8501b

Observation 7597fc37-fd08-4bb6-be72-24c977f68338 · outbound

This paper cites an unresolved cited work.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:52:04.834210Z

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=2026-08-14T11:52:04.614455Z digest=sha256:4ba9134e12e581aa88d701fde121bbf8b16adaf0506dee6d0df6846f620b298c

Observation 0588afec-2f94-467b-8724-6c698951d3d1 · outbound

This paper cites an unresolved cited work.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:52:04.822914Z

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=2026-08-14T11:52:04.618060Z digest=sha256:410efd81b2544210a37e99fcd0dffac5cfacd1f09685e0db55ac5ad6797e997f

Observation f8c71fd5-c88f-4b28-9ce7-9e9bfae79283 · outbound

This paper cites Engelking, General Topology, 2nd ed., Heldermann, Berlin, 1989.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Engelking, General Topology, 2nd ed., Heldermann, Berlin, 1989

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T11:52:04.621571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:52:04.621571Z digest=sha256:7981fe2d78a91adaefa54b8471884787715e719c9830ad623ce9478168f16f62

Observation 00022c4c-18a3-47ca-a5dd-ed6e7d63b567 · outbound

This paper cites Gutik, On the dichotomy of a locally compact semitopological bicyc lic monoid with adjoined zero , Visn.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Gutik, On the dichotomy of a locally compact semitopological bicyc lic monoid with adjoined zero , Visn

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:52:04.803824Z

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=2026-08-14T11:52:04.625366Z digest=sha256:c1f752881fda2c89cbf66a59f3341165e08a13b30f12ab2b335ca168a287fa33

Observation 398af3a4-1343-458f-8f2f-5d1faddcec5e · outbound

This paper cites Gutik, On locally compact semitopological 0-bisimple inverse ω -semigroups, Topol.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Gutik, On locally compact semitopological 0-bisimple inverse ω -semigroups, Topol

Reference 12

Resolution
verified exact
doi, observed 2026-08-14T11:52:04.720605Z

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=2026-08-14T11:52:04.629048Z digest=sha256:cfdeb45361c41453490ab912e3e071de0042d104e491a05c895ef05ec34d204a

Observation b38ee4be-620d-496d-b317-be5a5961f925 · outbound

This paper cites Gutik and K.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Gutik and K

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:52:04.791573Z

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=2026-08-14T11:52:04.632731Z digest=sha256:c334c215f5afa1ffb81a01e799334578c72dc7a7eb5ea574ae01a3bcace83f7e

Observation 879d7302-37e6-4b07-8052-dfc930628b6a · outbound

This paper cites Gutik and T.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Gutik and T

Reference 14

Resolution
verified exact
doi, observed 2026-08-14T11:52:04.706714Z

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=2026-08-14T11:52:04.636713Z digest=sha256:f5b05258daf869ce731a58f31d740f48279f3e67132440661847746faadcf1c6

Observation a9985678-26ad-4294-a185-af7d3fd237ac · outbound

This paper cites Gutik and D.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Gutik and D

Reference 15

Resolution
verified exact
doi, observed 2026-08-14T11:52:04.694967Z

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=2026-08-14T11:52:04.640928Z digest=sha256:7522f9bd943b05c3b264308d4a8b883653464a4adfbc149e9aa946a559b34ec6

Observation d9a87863-ae10-4cfb-a7bf-591a8a8a0004 · outbound

This paper cites an unresolved cited work.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Unresolved cited work

Reference 16

Resolution
verified exact
doi, observed 2026-08-14T11:52:04.683638Z

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=2026-08-14T11:52:04.644425Z digest=sha256:919f55e1751d74acde0d84f7a119c623e4e45ace9913b03a6b3b276ed7bf576a

Observation ccc5a964-882b-470d-8b4a-31e21631bfb8 · outbound

This paper cites Petrich, Inverse semigroups , John Wiley & Sons, New York, 1984.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Petrich, Inverse semigroups , John Wiley & Sons, New York, 1984

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:52:04.780391Z

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=2026-08-14T11:52:04.648160Z digest=sha256:86f86b4e93b289a00050ce8866bf29675f9b5f2a8b57824a9ecc528870f93c3b

Observation f45bf650-f0a4-471f-865d-877c9531103f · outbound

This paper cites Ruppert, Compact semitopological semigroups: An intrinsic theory , Lect.

On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero Ruppert, Compact semitopological semigroups: An intrinsic theory , Lect

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:52:04.769357Z

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=2026-08-14T11:52:04.652158Z digest=sha256:2d396273dd0597e23570b083d209a904453bd26580d84e2ee91f836848e8a139

Pith citing papers

Observation 31a864c0-7ab0-4e8d-b6cb-071b1f3354cb · inbound

On the lattice of weak topologies on the bicyclic monoid with adjoined zero cites this paper.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero On the dichotomy of a locally compact semitopological monoid of order isomorphisms between principal filters of $\mathbb{N}^n$ with adjoined zero

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:54:06.080282Z

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=2026-08-14T13:54:05.992142Z digest=sha256:6441ee1fa90dffae420564b2a3352d9f33bc434c5bd38fcf32b7658ef0c50a27