Paper Citation Record · LEDGER

The logic of vague categories

As of 23 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:1908.04816.

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

pith.paper-citation-record.v1
1908.04816 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:49:27.173952Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:26:44.249802Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T10:26:44.592902Z

Reference resolution

32 of 32 outbound references displayed

verified exact0
verified fuzzy16
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fb215fab-2af1-45b1-9f7f-57a96549b13a · outbound

This paper cites Bˆ elohl´ avek.

The logic of vague categories Bˆ elohl´ avek

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:28.129822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b62f0c2f-d8d0-454e-92df-d9701f1d5851 · outbound

This paper cites Multimarket c ontact and collu- sive behavior.

The logic of vague categories Multimarket c ontact and collu- sive behavior

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:28.099156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3a43660d-920e-470f-908c-740c2d2fc13e · outbound

This paper cites On the minimum many-valued modal logic over a ﬁnite residuated lat tice.

The logic of vague categories On the minimum many-valued modal logic over a ﬁnite residuated lat tice

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:28.073729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5fdeefdf-f1e4-4946-a9d8-29d78ed7b01c · outbound

This paper cites Conradie and A.

The logic of vague categories Conradie and A

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T13:49:26.895442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c753bb47-a569-42cf-8e3f-fabec12b2e30 · outbound

This paper cites Conradie, A.

The logic of vague categories Conradie, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:28.018291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 721a9b4b-38a6-46f2-9bb4-5393b323c89c · outbound

This paper cites Conradie, A.

The logic of vague categories Conradie, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:27.991330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 707393be-fc2e-44aa-81f8-085549d48821 · outbound

This paper cites Rough concepts.

The logic of vague categories Rough concepts

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T13:49:26.924613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32eb5f0f-0ee7-404c-bdd0-adcf2b4b611e · outbound

This paper cites Conradie, S.

The logic of vague categories Conradie, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:27.966566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 44b960dd-25be-4214-b342-594857fe07d9 · outbound

This paper cites Conradie, S.

The logic of vague categories Conradie, S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:27.940418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 714b999a-c24e-4da4-b2b3-a019d3e43cb8 · outbound

This paper cites Constructive Canonicity of Inductive Inequalities.

The logic of vague categories Constructive Canonicity of Inductive Inequalities

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T13:49:26.978922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ccfdd1b-ce4c-4cfc-801d-909b6bc3eb65 · outbound

This paper cites Conradie and A.

The logic of vague categories Conradie and A

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T13:49:26.986749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ed25f29-6869-4271-8697-fea5d09fff26 · outbound

This paper cites Conradie, A.

The logic of vague categories Conradie, A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:27.909265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0d2f6ec1-eeb0-498f-baf7-ccd8d9e56ddc · outbound

This paper cites Goldblatt-Thomason for LE-logics.

The logic of vague categories Goldblatt-Thomason for LE-logics

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T13:49:27.004834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6a91d0a-a3fb-4a3c-a4e8-019b0d819816 · outbound

This paper cites Conglomerate bigness as a source of po wer.

The logic of vague categories Conglomerate bigness as a source of po wer

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:27.879399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f6690f45-a96c-47c7-8836-3e33fbc53187 · outbound

This paper cites Residuated frames w ith applications to decid- ability.

The logic of vague categories Residuated frames w ith applications to decid- ability

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:27.856250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7c2440dd-0626-4004-822f-fd54d53937d6 · outbound

This paper cites Ganter and R.

The logic of vague categories Ganter and R

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:27.832160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ea46d445-53b9-411e-aaee-a2b677d5aef2 · outbound

This paper cites Generalized Kripke frames.

The logic of vague categories Generalized Kripke frames

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T13:49:27.038807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4078366a-1ad0-478e-a8bc-8bc0d41c94bd · outbound

This paper cites Bounded lattice expansion s.

The logic of vague categories Bounded lattice expansion s

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:27.785603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c34c2144-b978-478a-81f6-f7267d2a1843 · outbound

This paper cites Hypercompetition in a m ultimarket envi- ronment: The role of strategic similarity and multimarket c ontact in competitive de-escalation.

The logic of vague categories Hypercompetition in a m ultimarket envi- ronment: The role of strategic similarity and multimarket c ontact in competitive de-escalation

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:27.754032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 66e90580-a63e-404f-a85f-a44b80122cd7 · outbound

This paper cites Algebraic proof theory for LE-logics.

The logic of vague categories Algebraic proof theory for LE-logics

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T13:49:27.062796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f403dbd-ebda-4592-ad12-4620d69018ac · outbound

This paper cites Greco, P.

The logic of vague categories Greco, P

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:27.725423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0fed0fa1-92a1-4aeb-8cd0-7447eef2057f · outbound

This paper cites Correspondence theory in many-valued modal logics.

The logic of vague categories Correspondence theory in many-valued modal logics

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:27.702509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8daf0f71-ee28-45cb-92e3-fbc32b0bba6d · outbound

This paper cites an unresolved cited work.

The logic of vague categories Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T13:49:27.101968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05b96ea4-df41-4ad7-be64-41910aa7d5bb · outbound

This paper cites an unresolved cited work.

The logic of vague categories Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:49:27.646845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8f27909d-dbab-4fc8-8a9c-be42337159cf · outbound

This paper cites an unresolved cited work.

The logic of vague categories Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:49:27.616018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation db346540-1e5d-4a01-9875-6b9cb4edb206 · outbound

This paper cites an unresolved cited work.

The logic of vague categories Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:49:27.589699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3f35171b-6207-45d9-b7eb-f9bec99dd553 · outbound

This paper cites an unresolved cited work.

The logic of vague categories Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:49:27.537310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fe498505-5364-4014-82a7-701111ef4b1f · outbound

This paper cites an unresolved cited work.

The logic of vague categories Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:49:27.510014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 35a01a8b-4b48-451c-98eb-c0081ffc1c98 · outbound

This paper cites an unresolved cited work.

The logic of vague categories Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:49:27.481435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 07119a06-48c4-4fbd-bb78-237e0197e636 · outbound

This paper cites an unresolved cited work.

The logic of vague categories Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:49:27.449608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 69e2af16-dc9f-4028-8e55-3647cae44aaf · outbound

This paper cites an unresolved cited work.

The logic of vague categories Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:49:27.424826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d210e6f2-d8ee-457d-a433-e0c733250763 · outbound

This paper cites Hence, (8) can be rewritten as follows: iψ(ψ) → f (□ψ) ≤ f (□ψ), which is a tautology since i(ψ) = 1.

The logic of vague categories Hence, (8) can be rewritten as follows: iψ(ψ) → f (□ψ) ≤ f (□ψ), which is a tautology since i(ψ) = 1

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:49:27.398891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation 91ceff8c-96fb-43cc-b9ae-75d452e8a2c0 · inbound

Fuzzy Lattice-based Description Logic cites this paper.

Fuzzy Lattice-based Description Logic The logic of vague categories

Reference 12

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T10:26:44.596857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.