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Paper Citation Record · LEDGER

$L$-Topology via Generalised Geometric Logic

As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1909.02106.

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

pith.paper-citation-record.v1
1909.02106 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:26:11.917654Z

measured 17 of 17 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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5de564f4-d1b9-4f61-a57c-fc7526d85211 · outbound

This paper cites an unresolved cited work.

$L$-Topology via Generalised Geometric Logic Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:12.213306Z

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=2026-08-14T11:26:11.838303Z digest=sha256:9e737f1e447989ed3fc9cea8bae873032168698953d69d43a00c3a7a41b30c3e

Observation f1c2b97b-eabd-41cd-87be-a133ddf50058 · outbound

This paper cites an unresolved cited work.

$L$-Topology via Generalised Geometric Logic Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:12.197212Z

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=2026-08-14T11:26:11.844310Z digest=sha256:c89d1b96fa95267fd85b35d0fb8d658b6b331c076744644925392ae0b320ddc7

Observation 55ffa9f8-2a30-461b-a78c-485e7abe0892 · outbound

This paper cites an unresolved cited work.

$L$-Topology via Generalised Geometric Logic Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:12.181963Z

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=2026-08-14T11:26:11.848804Z digest=sha256:acc29fbf1b8de58f6411b4ad9a849e62917035c981ec8e701caa054bdc88c12c

Observation 4bf75deb-2d25-4fb5-8809-ad3789d48cdf · outbound

This paper cites Hajek, Mathematics of Fuzzy Logic , Kluwer Academic Publishers, Dor- drecht, Boston, London, 1998.

$L$-Topology via Generalised Geometric Logic Hajek, Mathematics of Fuzzy Logic , Kluwer Academic Publishers, Dor- drecht, Boston, London, 1998

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:12.166462Z

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=2026-08-14T11:26:11.853782Z digest=sha256:d188b7fae016c18fe68f58d43c7b6556778521b2dd4155fa3f3473afa577e573

Observation a09fc79b-65aa-4b64-af5e-719a71f04249 · outbound

This paper cites H¨ ohle, Fuzzy topologies and topological space objects in a topos , Fuzzy Sets and Systems, 19, 1986, pp.

$L$-Topology via Generalised Geometric Logic H¨ ohle, Fuzzy topologies and topological space objects in a topos , Fuzzy Sets and Systems, 19, 1986, pp

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:12.150802Z

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=2026-08-14T11:26:11.858947Z digest=sha256:5edb89c9364bed67e0ba7b1ecd2fb163e4abae84e12db35b525f5fa6e63b5dcc

Observation e9f1f2bb-c2d4-4809-93d8-c9cbd694ba51 · outbound

This paper cites Jana, Topological systems, Topology and Frame: in fuzzy context , Remi- niscing Ideas and Interactions, Essays in honour of Mihir Kr.

$L$-Topology via Generalised Geometric Logic Jana, Topological systems, Topology and Frame: in fuzzy context , Remi- niscing Ideas and Interactions, Essays in honour of Mihir Kr

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:12.135058Z

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=2026-08-14T11:26:11.864702Z digest=sha256:5915335eda1be5d28678fa31bdc0451816a131b20ef1afd2ddfc0811a51a3b46

Observation 7b92f9e9-9be3-4213-9e74-2ce13aa18924 · outbound

This paper cites Jana and M.

$L$-Topology via Generalised Geometric Logic Jana and M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:12.117269Z

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=2026-08-14T11:26:11.870703Z digest=sha256:8ef116e6209963cee02a01c9f2985519bdda57b8a66b76757ebaffbfbb5982e4

Observation 68a2d8b2-9aa2-4860-8207-3e4d7c0fb883 · outbound

This paper cites an unresolved cited work.

$L$-Topology via Generalised Geometric Logic Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:12.101833Z

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=2026-08-14T11:26:11.875471Z digest=sha256:217e9e337042c22c331dcceddd1542be0e355c29df6587073e8f2e84cca872ce

Observation 6ea96496-c6bf-4556-b3d3-33486444171b · outbound

This paper cites Mac Lane and I.

$L$-Topology via Generalised Geometric Logic Mac Lane and I

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:12.087355Z

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=2026-08-14T11:26:11.879890Z digest=sha256:bf0586b6a533964662822772e390514e8c2e0c50cc9343a7f07183962f491a74

Observation b5a48a0e-74fd-4495-b1a8-4d9b5972671c · outbound

This paper cites Nov´ ak,First order fuzzy logic , Studia Logica, 46, 1987, pp.

$L$-Topology via Generalised Geometric Logic Nov´ ak,First order fuzzy logic , Studia Logica, 46, 1987, pp

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:12.070361Z

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=2026-08-14T11:26:11.884496Z digest=sha256:4aa57c8c9d9cac4554d264d64951665f6b8a4a6c1e06dcad45134a527a90fe06

Observation 7a3413d1-6629-44f5-adb5-f4ace05c1b46 · outbound

This paper cites Pavelka, On fuzzy logic , Zeitschrift fur Math Logik und Grudlagen der Mathematik, 25(1), pp.

$L$-Topology via Generalised Geometric Logic Pavelka, On fuzzy logic , Zeitschrift fur Math Logik und Grudlagen der Mathematik, 25(1), pp

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:12.053309Z

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=2026-08-14T11:26:11.889094Z digest=sha256:a2d018c10b84ff89c97d241fc554aef34a7025c56deba61e6ae9d8ac3f2d248b

Observation d81ad6fb-d0e8-47ed-b82f-f6f9b1d3e191 · outbound

This paper cites Solovyov, Variable-basis topological systems versus variable-basi s topo- logical spaces, Soft Comput., 14, 2010, no.

$L$-Topology via Generalised Geometric Logic Solovyov, Variable-basis topological systems versus variable-basi s topo- logical spaces, Soft Comput., 14, 2010, no

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:12.036639Z

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=2026-08-14T11:26:11.893812Z digest=sha256:ebd7667ce708700af98cdefcda2f9ff76573a14eb1a8431f88fc837903b2a163

Observation c0a10d36-15de-4148-953c-cdce7fd66780 · outbound

This paper cites an unresolved cited work.

$L$-Topology via Generalised Geometric Logic Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:12.018867Z

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=2026-08-14T11:26:11.898783Z digest=sha256:a35ed66ebbc94f16a5fdf24f29b5f4b7f4bd75798b68065ee9909ca52c622e28

Observation 59d60021-2996-4510-b30f-af668c961cbd · outbound

This paper cites an unresolved cited work.

$L$-Topology via Generalised Geometric Logic Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:12.002710Z

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=2026-08-14T11:26:11.903799Z digest=sha256:5fb4389a0bb561059696364c502a0236b8bc2a132103557ecc6b25a07bb029ee

Observation fd353d81-788d-4055-b0a6-c1610972c4cb · outbound

This paper cites an unresolved cited work.

$L$-Topology via Generalised Geometric Logic Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:11.986900Z

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=2026-08-14T11:26:11.908425Z digest=sha256:1a214118e9ab354c97fdacdbb4e709a63d1fb9b84111f56fb17564d9d8b5ce60

Observation 0bdfcd8e-3950-4c98-8ca2-eca0ebaae3e8 · outbound

This paper cites an unresolved cited work.

$L$-Topology via Generalised Geometric Logic Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:11.971147Z

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=2026-08-14T11:26:11.913079Z digest=sha256:9a717b26aec91f200602253a55b0224cd14085afa0cd4c1f10970508b5676bcb

Observation 32c71dca-a292-459c-b5be-9df09a818aec · outbound

This paper cites an unresolved cited work.

$L$-Topology via Generalised Geometric Logic Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:11.955103Z

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=2026-08-14T11:26:11.917654Z digest=sha256:bfc91e2bdb9cfc5cfcd81440893de73a9f47df7673160fcd16fff3bba5ac9ec1

Pith citing papers

No inbound Pith citation observations are available.