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Paper Citation Record · LEDGER

On the lattice of weak topologies on the bicyclic monoid with adjoined zero

As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1908.04566.

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

pith.paper-citation-record.v1
1908.04566 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

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

measured 30 of 30 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

30 of 30 outbound references displayed

  • verified exact5
  • verified fuzzy19
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 758d0251-e352-4d61-a9fe-38b60fd3d726 · outbound

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

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Andersen, Ein Bericht ¨ uber die Struktur abstrakter Halbgruppen, PhD Thesis, Hamburg, 1952

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T13:54:05.716976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:54:05.716976Z digest=sha256:96ffb02c35d3a2a120c128d39a52008734b9e4f0dff0bdb89b2a74177858e256

Observation ec13493e-2e30-4fcc-a94a-de5d3ed45795 · outbound

This paper cites an unresolved cited work.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:54:06.582422Z

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=2026-08-14T13:54:05.722965Z digest=sha256:4952de700a973da5a9be54ff34140a20b6c2aa7d49f4a7e98a8bd8b3db95bd23

Observation f9730b60-cc3b-49ed-a085-3322bf153568 · outbound

This paper cites Auenhofer, D.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Auenhofer, D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.564615Z

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=2026-08-14T13:54:05.728223Z digest=sha256:b1b67ec8a522ad3deff5a55eff079bb500129cdad07dde45abf29938ccf0000c

Observation 5d337a8c-5bb3-46c0-b2eb-945f81cbceb2 · outbound

This paper cites Banakh, S.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Banakh, S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.541331Z

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=2026-08-14T13:54:05.733272Z digest=sha256:45a420a87adde401148c899f58e3a13488d5b7cfe7a5d2096cc1a06f20b09513

Observation 64889396-a84a-4e7e-9660-dc549ee7d392 · outbound

This paper cites Banakh, S.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Banakh, S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.516777Z

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=2026-08-14T13:54:05.738959Z digest=sha256:af2c49896bdf5f55e8d2caeb69563c752f3c1205937f81190ebdf5de22bb7f62

Observation e6c505d3-2808-4e90-92cf-6ab80d94a8a9 · outbound

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

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Bardyla, Classifying locally compact semitopological polycyclic m onoids, Mat

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.497794Z

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=2026-08-14T13:54:05.744319Z digest=sha256:b8b87d45a1d6db98ea3dc5b5203d6df8ef4ccbd4e1c39ee3a70726710df9763a

Observation 498c4913-f177-43bd-9782-c0712f19faa6 · outbound

This paper cites Bardyla, On universal objects in the class of graph inverse semigroup s, European Journal of Mathematics, to appear, DOI: 10.1007/s40879-018-0300-7.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Bardyla, On universal objects in the class of graph inverse semigroup s, European Journal of Mathematics, to appear, DOI: 10.1007/s40879-018-0300-7

Reference 7

Resolution
verified exact
doi, observed 2026-08-14T13:54:06.053304Z

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=2026-08-14T13:54:05.750023Z digest=sha256:ebf10d5c46e8943a478a1d32c31a407d76742cc9bc420ff98a5e39279789d270

Observation 20e2778e-f106-4d28-8ed1-3824f9112fd5 · outbound

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

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Bardyla, On locally compact semitopological graph inverse semigrou ps, Matematychni Studii

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.479679Z

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=2026-08-14T13:54:05.755166Z digest=sha256:98dd09554c5dee9493e5cdde2d38835a3a9870e202b62c83a7540837b06f8882

Observation 03d1bdfa-ff0c-48f0-9fd0-98ae48e3135e · outbound

This paper cites Bardyla: On locally compact shift-continuous topologies on the α -bicyclic monoid , Topological Algebra and its Applications.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Bardyla: On locally compact shift-continuous topologies on the α -bicyclic monoid , Topological Algebra and its Applications

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.460000Z

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=2026-08-14T13:54:05.760650Z digest=sha256:7f9dcaf347db60270c544ab47c208d0c344f74dc4caad5d2680349da3bd4f169

Observation 8bd849a8-0605-4327-a979-5258249d7cb4 · outbound

This paper cites Embedding of graph inverse semigroups into CLP-compact topological semigroups.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Embedding of graph inverse semigroups into CLP-compact topological semigroups

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:54:06.133743Z

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=2026-08-14T13:54:05.765522Z digest=sha256:2a1e299bee2d7c77e2dd512c782a2033f0bbc25c5371154a218546c3131120e5

Observation 31a79762-acb0-4764-bc3d-b7a4a0500557 · outbound

This paper cites Bardyla, O.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Bardyla, O

Reference 11

Resolution
verified exact
doi, observed 2026-08-14T13:54:06.034301Z

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=2026-08-14T13:54:05.771353Z digest=sha256:d5106b1e5562d89754130c9f4849919220e4e2af109c25c8be5dc00485f32ebe

Observation 80f841e1-462e-4714-9c05-36c7a936c582 · outbound

This paper cites Closed subsets of compact-like topological spaces.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Closed subsets of compact-like topological spaces

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:54:06.106229Z

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=2026-08-14T13:54:05.896832Z digest=sha256:2ac2e838b91ca40fa80cc7b034a6411f7d9c75ab036a7622c444b1ff21857867

Observation 6bdba4a5-bc05-4820-b7e7-a1ee4ebfc18e · outbound

This paper cites Berarducci, D.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Berarducci, D

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.442063Z

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=2026-08-14T13:54:05.902416Z digest=sha256:db31df8274de2cc59f37e23893d8504d74afb41b7bd874fdb0eb1f95e0a098e2

Observation adc3f0c6-a4df-470a-b069-419344a02a3e · outbound

This paper cites Bertman, T.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Bertman, T

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.421626Z

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=2026-08-14T13:54:05.908276Z digest=sha256:46b5c58133b0a2688d8d7b99a265e30ebb1c8d39bf0d9fcbb09d847f3e161543

Observation 7ab28d5c-9fb6-470c-9b70-2b948270fe82 · outbound

This paper cites Comfort, D.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Comfort, D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.401787Z

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=2026-08-14T13:54:05.914726Z digest=sha256:54b0120888ca5323aba5b57d9a8e7c3bc94b96ea0dad8eff0e2cd90c5f92178e

Observation d9a8e9eb-7215-44b2-8701-29c6ec02366b · outbound

This paper cites Comfort, D.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Comfort, D

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.380347Z

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=2026-08-14T13:54:05.920824Z digest=sha256:31ec2b1349dc900465c6b4297e314d84a275442c53595e901e15f7ec0598f3d9

Observation 94ff4dc9-ca42-4e92-a6aa-800e844c26c1 · outbound

This paper cites Dikranjan, The Lattice of Compact Representations of an infinite group.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Dikranjan, The Lattice of Compact Representations of an infinite group

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.355742Z

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=2026-08-14T13:54:05.926675Z digest=sha256:1066223e0f73f3fe53c6edef01ca22c761ee91bd2cee406a1dbc5aafa5c049fb

Observation d10f3729-7cb9-46c1-b096-a414a12f3a64 · outbound

This paper cites Dikranjan, On the poset of precompact group topologies.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Dikranjan, On the poset of precompact group topologies

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.337453Z

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=2026-08-14T13:54:05.931961Z digest=sha256:8236f0c399906deb82d7e6143776915b90d0d18642cc4f4efedc7676be7ccbb5

Observation 5fe357d0-65b8-42e8-b686-381aba6bf30a · outbound

This paper cites Dikranjan, Chains of pseudocompact group topologies, J.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Dikranjan, Chains of pseudocompact group topologies, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.320297Z

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=2026-08-14T13:54:05.936945Z digest=sha256:ed63c74a9a62e53a669f5074cf6f0a1f4bf0f851ac5a7231102bdab8cd3c85ac

Observation b1f07906-1c06-4a40-963d-037107e2fc7e · outbound

This paper cites van Douwen, The integers and topology , in: Handbook of set-theoretic topology, North-Holland, Amster dam, (1984), 111–167.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero van Douwen, The integers and topology , in: Handbook of set-theoretic topology, North-Holland, Amster dam, (1984), 111–167

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.302616Z

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=2026-08-14T13:54:05.941694Z digest=sha256:491e2afdd56b64393aa08b5cfca6cd219fdc69dca49a416b4a83a01e259e9676

Observation c8d5d079-4530-469d-b1a5-480996ab8511 · outbound

This paper cites Eberhart, J.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Eberhart, J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.284762Z

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=2026-08-14T13:54:05.946409Z digest=sha256:3beece1c3045bfe76073e40e357022e64c0bc94c4257e104a4723e729f9c3f3d

Observation f49eb4d3-7177-4cba-a08a-bc30663d3559 · outbound

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

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Engelking, General Topology, 2nd ed., Heldermann, Berlin, 1989

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T13:54:05.951341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:54:05.951341Z digest=sha256:9ffb1deed171cb213aac2b82953812cbbb3c8adec358e0d24eba8ba8c1e133dc

Observation 4649e4de-eafc-4202-b6d4-a40229c324b3 · outbound

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

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Gutik, On the dichotomy of a locally compact semitopological bicyc lic monoid with adjoined zero , Visn

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-14T13:54:05.956105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:54:05.956105Z digest=sha256:ff28d815cf1ef4cd2b716004a0b2a6eee5c2730b5cf8b47183e3525986eb601b

Observation c473646a-6c05-4141-8c87-8e518aa36d14 · outbound

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

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Gutik, On locally compact semitopological 0-bisimple inverse ω -semigroups, Topol

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.245564Z

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=2026-08-14T13:54:05.961379Z digest=sha256:2463b706d227e017d8afd2b87b79937d17a3d95e62c4b6de9542093f2248011c

Observation 2bf17a46-5601-4062-986f-be82bc526c7a · outbound

This paper cites Gutik, D.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Gutik, D

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.226434Z

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=2026-08-14T13:54:05.966355Z digest=sha256:b7834545b58ba2fb0cd5d28a84ce9db21e777d17127ba0f3ec510057e4998b97

Observation 55ad6cea-7e42-4ec8-b5ce-8edb7f82583c · outbound

This paper cites an unresolved cited work.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:54:06.207220Z

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=2026-08-14T13:54:05.971129Z digest=sha256:65c3976a12559cbcecf8caf2235c814f650fb9f919ca8a12baa3aa66790d5a7d

Observation fc19c87a-de95-4522-8e35-72cc5ca2d5d3 · outbound

This paper cites Kunen Set theory , Studies in Logic and the Foundations of Mathematics, vol.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Kunen Set theory , Studies in Logic and the Foundations of Mathematics, vol

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.188903Z

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=2026-08-14T13:54:05.976510Z digest=sha256:126cfc6836bd3921dc3aa9ae8e2c2a4d9c96021bdf74ae005865856504dbb43c

Observation 25623e27-2021-40a4-a400-dcd5b7fdf9d1 · outbound

This paper cites an unresolved cited work.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:54:06.171037Z

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=2026-08-14T13:54:05.981563Z digest=sha256:3f3298250689b0c03a4719fb89eff393c09b92e944b41700665746cc5b66c232

Observation e637953d-8da5-4db1-8917-e642b7bdaf67 · outbound

This paper cites van Mill, An introduction to β (ω ), in: Handbook of set-theoretic topology, North-Holland, Amste rdam, (1984), 503–568.

On the lattice of weak topologies on the bicyclic monoid with adjoined zero van Mill, An introduction to β (ω ), in: Handbook of set-theoretic topology, North-Holland, Amste rdam, (1984), 503–568

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:06.151582Z

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=2026-08-14T13:54:05.986619Z digest=sha256:04649b7e395ff21f1167cfa656ec327b0ef7a85cc5806f1aa8e95fb0211ae3df

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

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

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

Pith citing papers

No inbound Pith citation observations are available.