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Paper Citation Record · LEDGER

Softly $\pi g\hat{D}$-Normal Spaces

As of 17 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.

pith.paper-citation-record.v1
2506.08431 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:20:14.553508Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7a928985-2afc-498a-a822-a580917ed69c · outbound

This paper cites an unresolved cited work.

Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:20:15.404548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:12.594246Z digest=sha256:a852926213d3f69a75686af373e2d93543fbebe8eb5d9c30de3687e300abb2cd

Observation 26b3925a-8a49-4845-9973-808f9498f191 · outbound

This paper cites an unresolved cited work.

Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:20:15.391420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:12.675410Z digest=sha256:2025f0596725d049c377be8d41a5e59d7f1cfc0df6789fec7a626a015562ce6f

Observation 6e8e30cd-208a-4284-95b1-8f6e084c2667 · outbound

This paper cites V., Real functions and near normal spaces , Sibirskii Mat.

Softly $\pi g\hat{D}$-Normal Spaces V., Real functions and near normal spaces , Sibirskii Mat

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.378004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:12.756013Z digest=sha256:2ec57b96b2919aa193b31dcab7a50fbdc6e881f380ddf8dfbe012335f96bb8bd

Observation 59936204-7ece-4bac-9ccd-4ea42c9f143d · outbound

This paper cites an unresolved cited work.

Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:20:15.363781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:12.839395Z digest=sha256:2c332a2b72b35e4b9b23204be96ad981782fd5209e8fd5c7bbf57c5ad9ac6cf9

Observation 3cc09131-f863-4618-9441-77f99f36876a · outbound

This paper cites and Rahman, M.

Softly $\pi g\hat{D}$-Normal Spaces and Rahman, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.349979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:12.925606Z digest=sha256:0bd4dffba1606888eedbdae20b81d96b88e823f17fbbdc7f9b3477a01efe8c5d

Observation c8104926-5ecc-4f1e-a0a9-9666605d3dc1 · outbound

This paper cites N., π-normal toplogical spaces , Filomat, 22 (1), 173-181 (2008).

Softly $\pi g\hat{D}$-Normal Spaces N., π-normal toplogical spaces , Filomat, 22 (1), 173-181 (2008)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.336638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.011836Z digest=sha256:1caf61c98185d93159d50ddb4182b713ad4cd12adf264a9a6c49149a0e1556e6

Observation da0a8f02-fc5f-4e61-ac85-5f944d1e87e5 · outbound

This paper cites an unresolved cited work.

Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:20:15.322601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.116224Z digest=sha256:de2407501503f892f92735abc72da29e58db67a85755499d94193eb63c40ee26

Observation b193d8ed-a5e9-4250-bd48-f57496d075f0 · outbound

This paper cites an unresolved cited work.

Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:20:15.308396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.219653Z digest=sha256:25b875e9675f67c16b2da9725d7f33540b3683edac5e2504f6b68d71ee98b2d1

Observation 5e3ca026-d175-4028-9d2a-4905492686e4 · outbound

This paper cites G., Benchalli, S.

Softly $\pi g\hat{D}$-Normal Spaces G., Benchalli, S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.294408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.281459Z digest=sha256:17dc915adf459a7344f0716dc12140abe0fcafda5cc801949421e0b3baaa854d

Observation 7519725d-ce93-4e66-bced-e7ea167a1344 · outbound

This paper cites and Rajpal, R., πgβ -normal spaces in topological spaces, International J.

Softly $\pi g\hat{D}$-Normal Spaces and Rajpal, R., πgβ -normal spaces in topological spaces, International J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.281547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.349368Z digest=sha256:ea8d36763c5498566636fe0629058b0a7d42b0156d5232da78b02ab31a979f55

Observation 776ce133-ae65-4472-9417-2a83e30bd8ca · outbound

This paper cites an unresolved cited work.

Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:20:15.268151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.432848Z digest=sha256:8a6a2d307a2f746d8443138f2ad6ff8cbe2640346189143229ab42db34a9682b

Observation baf647f4-761a-4ae6-95f0-5aed1f27221b · outbound

This paper cites an unresolved cited work.

Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:20:15.254588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.531632Z digest=sha256:4220f25f120fbb557ce59391e230ef7e43371de53a3c4f5bfa2adb9e2ddf6c69

Observation adf9ac6d-6656-4a47-abee-f097bf7d8682 · outbound

This paper cites an unresolved cited work.

Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:20:15.240847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.588876Z digest=sha256:c034440dfb5e7ff5630fba511c9829c68f6df459d04d9306a8930f6298e2a189

Observation e981a30d-2bea-452c-8a01-e1aba43000ce · outbound

This paper cites Levine, Semi-open sets and semi-continuity in topological spaces , Amer.

Softly $\pi g\hat{D}$-Normal Spaces Levine, Semi-open sets and semi-continuity in topological spaces , Amer

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.227749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.661076Z digest=sha256:6002890580459494d1f2d61485e4867007fda64c2cfccea53f604af052a8895e

Observation 273b3a86-bc87-428f-b09c-4eb7c626e1c4 · outbound

This paper cites On Some Class of Nearly Open Sets,.

Softly $\pi g\hat{D}$-Normal Spaces On Some Class of Nearly Open Sets,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.213481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.719177Z digest=sha256:b42ea822387c276f6785dbbc7b038864cd476662102234e35f47b0637835eb2b

Observation a5b497b2-08f9-48df-8807-3dd855245bc4 · outbound

This paper cites Andrijevie, Semi- preopen sets , Math.

Softly $\pi g\hat{D}$-Normal Spaces Andrijevie, Semi- preopen sets , Math

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.199787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.786114Z digest=sha256:4e1592fb9126e7170d898d2453c212b036e244125ced9253759653cd22a2f238

Observation 151c6c08-86fc-404b-9f54-aebabe283dae · outbound

This paper cites Levine, generalized closed sets in topology , Rend.

Softly $\pi g\hat{D}$-Normal Spaces Levine, generalized closed sets in topology , Rend

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.186373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.863301Z digest=sha256:d71722f636a2f99d55de92a0262df8e3bccdf2055100c714cbbbc85686070272

Observation 46e5b4cb-ba84-4536-aee5-069fc7a3caeb · outbound

This paper cites Quasi Normal Spaces and πg -closed sets.

Softly $\pi g\hat{D}$-Normal Spaces Quasi Normal Spaces and πg -closed sets

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.172750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.938267Z digest=sha256:af56bbe6adc192ab19eb5a5fdca3566b37521a770c2e3a052c42118937a39797

Observation b7cec582-9981-4a3d-80ba-f815e01652fd · outbound

This paper cites Maki, R, Deviand K.

Softly $\pi g\hat{D}$-Normal Spaces Maki, R, Deviand K

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.157958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:13.995127Z digest=sha256:fab641631cdf2ea9809a1c6196d83b52878f64f373df139c4dd117dcbae3207c

Observation 678d9684-8941-43e2-903d-1140ec681cb2 · outbound

This paper cites Studies on πgα -closed sets in Topology.

Softly $\pi g\hat{D}$-Normal Spaces Studies on πgα -closed sets in Topology

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.144315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:14.054539Z digest=sha256:46218400a87126a64ca4d1d7ddb43e24795b28e770cb2071cb70d864adcdfc7a

Observation 0736fe1e-f0f9-4564-a136-d3cfa308fb95 · outbound

This paper cites Dontchev, On generalized semi-pre open sets , Mem.

Softly $\pi g\hat{D}$-Normal Spaces Dontchev, On generalized semi-pre open sets , Mem

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.129933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:14.120601Z digest=sha256:ef08fabe3fd9eb1fb54eae7c2ae884f27b5b73223a5330570f9e3872fc412dbf

Observation 5aa83aec-8f50-4d4b-b04a-3f8312ff094f · outbound

This paper cites Palaniappan and K.

Softly $\pi g\hat{D}$-Normal Spaces Palaniappan and K

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.116556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:14.198760Z digest=sha256:4201b1eaa8dc73d4a76977b78e985fd74c7a46314d1b476be3d7c2815f9be4e7

Observation 3b4da3f5-b324-41c8-819f-5901e5a99661 · outbound

This paper cites Gnanambal, On generalized pre-regular closed sets in topological spac es, Indian J.

Softly $\pi g\hat{D}$-Normal Spaces Gnanambal, On generalized pre-regular closed sets in topological spac es, Indian J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:15.101805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:14.255646Z digest=sha256:900c68cb441d39413b2c1e3a62ea0ecfd5dd6c128876221dd2d8842319aa18da

Observation 27ddbe33-747b-4798-9e39-f04ab50842f3 · outbound

This paper cites an unresolved cited work.

Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:20:15.085547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:14.322784Z digest=sha256:23cdcc0ad9437b0c6e727d1710fa0aa65e605648d1a37c91ef69692ebdec51c7

Observation 7b47145d-def7-4b66-b155-29869b4a06de · outbound

This paper cites an unresolved cited work.

Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:20:15.071720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:14.378932Z digest=sha256:2fb2f1625d36cdfe4fb05ce49696e6216af4843b160bb299954538e023868904

Observation c99532c7-fe82-4c56-b326-a5f2313474e6 · outbound

This paper cites an unresolved cited work.

Softly $\pi g\hat{D}$-Normal Spaces Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:20:15.023783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:14.436813Z digest=sha256:cc5ff3d22fa711b9287c6e6b983985bfaab88a8e62e5f37bace6e7f8e98449cb

Observation 57e01097-a555-4634-b0b3-899ed531eb1c · outbound

This paper cites Dass and G.

Softly $\pi g\hat{D}$-Normal Spaces Dass and G

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:14.895280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:14.492595Z digest=sha256:d520819c65268ab88aab5cfe8447e04e1d2759d76302dcaaae407ceacce61384

Observation e00ceddb-9f0c-47aa-8d87-da5472c04bb4 · outbound

This paper cites Noiri, Mildly - normal spaces and some functions.

Softly $\pi g\hat{D}$-Normal Spaces Noiri, Mildly - normal spaces and some functions

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:20:14.746419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:20:14.553508Z digest=sha256:7cd283f1b1467cb67eb9805a392321fb8eafc697452c5d055fe06f75b81d4e3f

Pith citing papers

No inbound Pith citation observations are available.