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Paper Citation Record · LEDGER

Recurrence in a dynamical system over adequate partial semigroups

As of 20 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2607.26548.

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

pith.paper-citation-record.v1
2607.26548 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:34:02.948307Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

27 of 27 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0c510b7-265c-4358-8f1a-8b61d9da011c · outbound

This paper cites Bayatmanesh and M.

Recurrence in a dynamical system over adequate partial semigroups Bayatmanesh and M

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T15:34:02.829119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:34:02.829119Z digest=sha256:3ee762f4db53142a0e0ff5b226db15abea93a55702830913ecccf8448d1fd960

Observation c5c459aa-6179-40b8-8c29-42e101d5e241 · outbound

This paper cites Bergelson, A.

Recurrence in a dynamical system over adequate partial semigroups Bergelson, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.329759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.834386Z digest=sha256:e0e535e99ba3d5f645488ca5aabc460fc6e34347b9b4dc20cb1fed8f88a3fbbb

Observation 2c3bdd41-9501-4a93-a9d0-6a2d20bd689a · outbound

This paper cites Bergelson and N.

Recurrence in a dynamical system over adequate partial semigroups Bergelson and N

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.315889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.838975Z digest=sha256:842536c5ea8da26aa3320fd08fcef54c31d3111b1252cf48fa86527084910eef

Observation 88d32116-bbe2-4dbf-bb23-38352b0788d9 · outbound

This paper cites Burns, N.

Recurrence in a dynamical system over adequate partial semigroups Burns, N

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.302007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.843684Z digest=sha256:126908a883cf2ed1321762020e5102b2ea37d3aaa39b03889fe198806e62de10

Observation fa36231d-a293-4591-a656-7007bcbd1b55 · outbound

This paper cites an unresolved cited work.

Recurrence in a dynamical system over adequate partial semigroups Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:34:03.288170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.848387Z digest=sha256:929b0715ddf3e272821e2c42732fc63ca1352586eb7803b25dbbcd39e4399ae9

Observation 36321d98-588d-48d1-ae54-c0c068dadcd4 · outbound

This paper cites Dynamical characterization of central sets in adequate partial semigroups.

Recurrence in a dynamical system over adequate partial semigroups Dynamical characterization of central sets in adequate partial semigroups

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:34:03.003405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.853745Z digest=sha256:0a10055b3b1fb617cc9123fcf2d956fd3ce69aeecafce16792ed55fe98c04bfa

Observation 18ed0187-5bfc-4a73-bbbd-1742261bf6f0 · outbound

This paper cites Ellis,Lectures on Topological Dynamics, Benjamin, New York, 1969.

Recurrence in a dynamical system over adequate partial semigroups Ellis,Lectures on Topological Dynamics, Benjamin, New York, 1969

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-15T15:34:02.858701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:34:02.858701Z digest=sha256:643e802b2cf9a0198fa50225fe1f9219d7003fbe6a0ddae5a01d38182b550a66

Observation 58c70ad1-2631-4052-8624-c9142d3e0741 · outbound

This paper cites Farah, N.

Recurrence in a dynamical system over adequate partial semigroups Farah, N

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.265321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.863835Z digest=sha256:508b769f6f745f55a5fdb59962458caf16dcf45ca16a3ca8402ede152713f5e7

Observation 1137c774-ce78-49ed-9a06-306343e93224 · outbound

This paper cites Furstenberg,Recurrence in ergodic theory and combinatorial number theory, Princeton University Press, Princeton, 1981.

Recurrence in a dynamical system over adequate partial semigroups Furstenberg,Recurrence in ergodic theory and combinatorial number theory, Princeton University Press, Princeton, 1981

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-15T15:34:02.868157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:34:02.868157Z digest=sha256:e002a353b47e0ed1f630166f442e704d26c6d9d63f23bde7d9dc885cf56cd67f

Observation d48b6596-90e0-4098-bc06-8de0f759f6db · outbound

This paper cites Furstenberg and B.

Recurrence in a dynamical system over adequate partial semigroups Furstenberg and B

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.242857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.872506Z digest=sha256:ae7c62baf68becba7324ba1b049903184262fa2850edc64b7959c485aca94279

Observation ed8a40ef-0889-4a4c-a6d8-732f1340655d · outbound

This paper cites Ghosh,A generalized central sets theorem in partial semigroup, Semigroup Forum, 100(2020), no.

Recurrence in a dynamical system over adequate partial semigroups Ghosh,A generalized central sets theorem in partial semigroup, Semigroup Forum, 100(2020), no

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.229171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.876866Z digest=sha256:d6f30e107dddff7a3d8ec9b7580372e8b58dfa4b1ec55eb1725313ae0b008b18

Observation 131175bd-a713-436a-8eb2-25c0607ad2d7 · outbound

This paper cites Ghosh,A study on some combinatorial sets in partial semigroups, Asian-European Journal of Mathematics, Vol.

Recurrence in a dynamical system over adequate partial semigroups Ghosh,A study on some combinatorial sets in partial semigroups, Asian-European Journal of Mathematics, Vol

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.215089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.881349Z digest=sha256:9ead7ca294ba6520f6fc9fd2659ad6714f3bb055f507f6b620d69587f1c1d4ed

Observation f1c82094-a424-45d0-85f8-de7de26c0e13 · outbound

This paper cites Hindman,Small sets satisfying the central sets theorem, in: Combinatorial number theory, B.

Recurrence in a dynamical system over adequate partial semigroups Hindman,Small sets satisfying the central sets theorem, in: Combinatorial number theory, B

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.200119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.885940Z digest=sha256:b738d078403eca730c88b43d2750ad789ea66ab8a7ece62463ef418a69d31581

Observation c4c645db-9ef1-453d-9756-4acb09579030 · outbound

This paper cites Hindman, A.

Recurrence in a dynamical system over adequate partial semigroups Hindman, A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.186087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.890480Z digest=sha256:a3faa04f0de8b6019d28c458edb537d215b324b844ad750e6ec66df23ab9af73

Observation 36132b78-f008-42aa-afe3-496f9835ab6d · outbound

This paper cites Hindman, and R.McCutcheon,VIP systems in partial semigroups, Discrete Math- ematics, 24(2001) 45-70.

Recurrence in a dynamical system over adequate partial semigroups Hindman, and R.McCutcheon,VIP systems in partial semigroups, Discrete Math- ematics, 24(2001) 45-70

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.172415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.895006Z digest=sha256:3e51e9d461be3158fe0b5954fec96760277c005111cf7ec0754f4e30e7a9ba8a

Observation 35e783e2-3ba3-43b9-840c-4b1824793e93 · outbound

This paper cites Hindman and K.

Recurrence in a dynamical system over adequate partial semigroups Hindman and K

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.158150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.899556Z digest=sha256:b7e84183a7cbcb1903891fdee642514cda7de1ab98aec1c736e2b0a83ac14011

Observation b6ee12c8-3433-4701-9555-615298cc1770 · outbound

This paper cites Hindman, D.

Recurrence in a dynamical system over adequate partial semigroups Hindman, D

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.143860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.904072Z digest=sha256:eee6044991343c6579031541fba3dbba087724844fd6d7583e6758be9258135d

Observation ade10269-6bff-4fbe-b025-fa9bc2565f2a · outbound

This paper cites Hindman and D.

Recurrence in a dynamical system over adequate partial semigroups Hindman and D

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-15T15:34:02.908479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:34:02.908479Z digest=sha256:abb6c542bfcd5e5bfa771dd0a504261d34073bcf73632355e4b663be49669b25

Observation 2f88b1a3-c04a-49cd-8547-dd0745a91e95 · outbound

This paper cites Hindman, D.

Recurrence in a dynamical system over adequate partial semigroups Hindman, D

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.120816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.912852Z digest=sha256:6eb516282682fdfaf29467b8f13ec677ca50f95b4b9c4fd7a3c31c06ff1c9403

Observation 9eb0d4bb-a3a6-4451-9872-d428933cfbc4 · outbound

This paper cites A dynamical characterization of C sets.

Recurrence in a dynamical system over adequate partial semigroups A dynamical characterization of C sets

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-15T15:34:02.917178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:34:02.917178Z digest=sha256:7a03bc6589199f4ca3fbc2bb2f5a2930a3d9ec10314960f95c65cdb761e8615c

Observation c1ae2891-dc47-47b4-8d9a-46ceb1c51f71 · outbound

This paper cites Li,Dynamical characterization ofC-sets and its application, Fund.

Recurrence in a dynamical system over adequate partial semigroups Li,Dynamical characterization ofC-sets and its application, Fund

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.107230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.922508Z digest=sha256:9a5264afd5366a198386c4b712e46d02464cbfba888e86f3b7200b7c2f0db333

Observation 7395a974-df62-4390-b57d-81a92b5013ad · outbound

This paper cites McLeod,Some notions of size in partial semigroups, Topology Proc.

Recurrence in a dynamical system over adequate partial semigroups McLeod,Some notions of size in partial semigroups, Topology Proc

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.093322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.926927Z digest=sha256:ce77f3dfc5d0a92994a29d8578c9066d04841ae6316779d046aeda3aade8bb71

Observation 131ee482-6037-43e8-8906-653774547366 · outbound

This paper cites McLeod,Notions of size in adequate partial semigroups, Ph.D thesis, Howard University, 2001.

Recurrence in a dynamical system over adequate partial semigroups McLeod,Notions of size in adequate partial semigroups, Ph.D thesis, Howard University, 2001

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.077691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.931249Z digest=sha256:eebf154a36484b5ee8af782969d90e6664de03f8aeee32fc60376cc8ff82c23d

Observation 0c8bba19-6c13-4aaf-842e-e8c7e453e860 · outbound

This paper cites an unresolved cited work.

Recurrence in a dynamical system over adequate partial semigroups Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:34:03.063068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.935482Z digest=sha256:65003648ce5dba7933ee7261ac7595a463e236642f41b42a293f156873498669

Observation 96324356-720c-4522-a522-6a9755ee1ac4 · outbound

This paper cites Pleasant,When Ramsey Meets Stone- ˇCech compactification: Some New Results in Ramsey Theory.

Recurrence in a dynamical system over adequate partial semigroups Pleasant,When Ramsey Meets Stone- ˇCech compactification: Some New Results in Ramsey Theory

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.048919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.939733Z digest=sha256:1fcf951719413cd6a238dc0c46aef0f512846a98e61c2f05140773f6e651e09b

Observation d9603565-cecf-4dfd-a65e-edf85ec90f8a · outbound

This paper cites an unresolved cited work.

Recurrence in a dynamical system over adequate partial semigroups Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:34:03.033873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.944002Z digest=sha256:4276a87a8f5b08fdabcbdbc5f3f54cd2c5c0757a74528be8fea794606bcce5f0

Observation f63082cc-1840-4163-886c-277a645111d6 · outbound

This paper cites Shi and H.

Recurrence in a dynamical system over adequate partial semigroups Shi and H

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:34:03.019467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T15:34:02.948307Z digest=sha256:591fb0368bb2475851f82cc5aadccea046cbf25139784d56faf64f0f0727bdea

Pith citing papers

No inbound Pith citation observations are available.