Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:20:14.553508Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2506.08431.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:20:14.553508Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
28 of 28 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 7a928985-2afc-498a-a822-a580917ed69c · outbound
Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 26b3925a-8a49-4845-9973-808f9498f191 · outbound
Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6e8e30cd-208a-4284-95b1-8f6e084c2667 · outbound
Softly $\pi g\hat{D}$-Normal Spaces V., Real functions and near normal spaces , Sibirskii Mat
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 59936204-7ece-4bac-9ccd-4ea42c9f143d · outbound
Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3cc09131-f863-4618-9441-77f99f36876a · outbound
Softly $\pi g\hat{D}$-Normal Spaces and Rahman, M
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c8104926-5ecc-4f1e-a0a9-9666605d3dc1 · outbound
Softly $\pi g\hat{D}$-Normal Spaces N., π-normal toplogical spaces , Filomat, 22 (1), 173-181 (2008)
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation da0a8f02-fc5f-4e61-ac85-5f944d1e87e5 · outbound
Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b193d8ed-a5e9-4250-bd48-f57496d075f0 · outbound
Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5e3ca026-d175-4028-9d2a-4905492686e4 · outbound
Softly $\pi g\hat{D}$-Normal Spaces G., Benchalli, S
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7519725d-ce93-4e66-bced-e7ea167a1344 · outbound
Softly $\pi g\hat{D}$-Normal Spaces and Rajpal, R., πgβ -normal spaces in topological spaces, International J
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 776ce133-ae65-4472-9417-2a83e30bd8ca · outbound
Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation baf647f4-761a-4ae6-95f0-5aed1f27221b · outbound
Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation adf9ac6d-6656-4a47-abee-f097bf7d8682 · outbound
Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e981a30d-2bea-452c-8a01-e1aba43000ce · outbound
Softly $\pi g\hat{D}$-Normal Spaces Levine, Semi-open sets and semi-continuity in topological spaces , Amer
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 273b3a86-bc87-428f-b09c-4eb7c626e1c4 · outbound
Softly $\pi g\hat{D}$-Normal Spaces On Some Class of Nearly Open Sets,
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a5b497b2-08f9-48df-8807-3dd855245bc4 · outbound
Softly $\pi g\hat{D}$-Normal Spaces Andrijevie, Semi- preopen sets , Math
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 151c6c08-86fc-404b-9f54-aebabe283dae · outbound
Softly $\pi g\hat{D}$-Normal Spaces Levine, generalized closed sets in topology , Rend
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 46e5b4cb-ba84-4536-aee5-069fc7a3caeb · outbound
Softly $\pi g\hat{D}$-Normal Spaces Quasi Normal Spaces and πg -closed sets
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b7cec582-9981-4a3d-80ba-f815e01652fd · outbound
Softly $\pi g\hat{D}$-Normal Spaces Maki, R, Deviand K
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 678d9684-8941-43e2-903d-1140ec681cb2 · outbound
Softly $\pi g\hat{D}$-Normal Spaces Studies on πgα -closed sets in Topology
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0736fe1e-f0f9-4564-a136-d3cfa308fb95 · outbound
Softly $\pi g\hat{D}$-Normal Spaces Dontchev, On generalized semi-pre open sets , Mem
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5aa83aec-8f50-4d4b-b04a-3f8312ff094f · outbound
Softly $\pi g\hat{D}$-Normal Spaces Palaniappan and K
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3b4da3f5-b324-41c8-819f-5901e5a99661 · outbound
Softly $\pi g\hat{D}$-Normal Spaces Gnanambal, On generalized pre-regular closed sets in topological spac es, Indian J
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 27ddbe33-747b-4798-9e39-f04ab50842f3 · outbound
Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7b47145d-def7-4b66-b155-29869b4a06de · outbound
Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c99532c7-fe82-4c56-b326-a5f2313474e6 · outbound
Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 57e01097-a555-4634-b0b3-899ed531eb1c · outbound
Softly $\pi g\hat{D}$-Normal Spaces Dass and G
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e00ceddb-9f0c-47aa-8d87-da5472c04bb4 · outbound
Softly $\pi g\hat{D}$-Normal Spaces Noiri, Mildly - normal spaces and some functions
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
No inbound Pith citation observations are available.