Pith. sign in

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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:26.875325Z digest=sha256:5369e14948c5de70710fdbba95aa04b4e563852aa3becc181cccf4d4ba6d4e07

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:26.882700Z digest=sha256:8b6ad1cfde098eae89c8f19029c5dee9a01473dffd3b6ae1e31310cfe8eb9ac1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:26.889483Z digest=sha256:9bddbce05984c144948e87a50b11ea10fada03dcc69f7c3d8137feb924bbdf9b

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.

source=pdf_text observed=2026-08-14T13:49:26.895442Z digest=sha256:52213346fb42059e537840e7089dede127da1f6cbcd7623655e39e2437c38e77

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:26.903543Z digest=sha256:938d3b4c47f3963e4687a29d5c0b234b20211985b1b680373d572d04eec03670

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:26.912012Z digest=sha256:5acc16d4ec6df2ea9da3230c9e1e16e83330b427acc38da046b690ef3130c7b6

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.

source=pdf_text observed=2026-08-14T13:49:26.924613Z digest=sha256:358acdb4406846165484ca9556977b8d90b402ceffb3abad901062ffb1bea38f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:26.961437Z digest=sha256:d7f1d59c15e852a543d80cc0e4a6edb348676754008412e607ffec4e125363f0

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:26.972214Z digest=sha256:2146ed2af1fba3f4d7468edf3aa4810403088d62e99523a0757bc9ed8407cc87

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.

source=pdf_text observed=2026-08-14T13:49:26.978922Z digest=sha256:a914aa83f75b280f9f13e0cae5a4af897c8c581f7d174cab6fd01d119dbab071

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.

source=pdf_text observed=2026-08-14T13:49:26.986749Z digest=sha256:7d15b58a513fae5492cde68ad1126a2eec6b9470e12fdb239d198d899bedd6c0

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:26.998724Z digest=sha256:79493891d1643650862800dd8fa19e92d815e30d3ff4956b1f448ed2364c0b15

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.

source=pdf_text observed=2026-08-14T13:49:27.004834Z digest=sha256:67d486d3df715d43e406bc6b6265394716a12e83e9984ed4c43f79145057f179

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.015205Z digest=sha256:95bf33896200c30111eda340ea991f9e2b9c9e63e619428ce2393dccb7763316

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.022694Z digest=sha256:d6a42c880015ce4bec675908694acb5a42685b75a5498abfd765bed57cb10b46

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.030526Z digest=sha256:17de02cb8509adbf9a82c0129a2d24c77a11daf30f5a375aab978ef88c8154c6

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.

source=pdf_text observed=2026-08-14T13:49:27.038807Z digest=sha256:d530829cdc18049574cb6a3e15e6ea0811a974e976b58632be8d09c3b95aac94

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.046427Z digest=sha256:9b4134294aaa76ac4f1a160958ebd072af9730d1fabaa7cfade62a2a69eef9d0

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.056656Z digest=sha256:86674bf0e3e8ead030372f49f633597fb8cff2cc83161b3b7ac01efd0deb24f3

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.

source=pdf_text observed=2026-08-14T13:49:27.062796Z digest=sha256:1ce512b0d47a9e6bb731ed383ec068c89e6530b7a67c4aef990eaf5334f769c8

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.080973Z digest=sha256:1b9a35222b66c7a6312e0ca867cec73cfccbd7183d5a5b5d0b97795b0b8474b4

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.088428Z digest=sha256:1b72de218766efce048c7140d756cbcc940c44cb6345ef47910a51fdb2499e5a

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.

source=pdf_text observed=2026-08-14T13:49:27.101968Z digest=sha256:2b50104a9e93aaf0845e16b9a41e5546c661718cedd25244cff396659f3a4905

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.110977Z digest=sha256:e99e7129aa295c91b33931152dc8e7d54a93336d9eae19d40d655cf0ba475ee1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.119409Z digest=sha256:f21243edbffac2564b50d1032b2efc63870f0ab8e8d6869e9183e6338b4f7173

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.126875Z digest=sha256:992cee2592d9f9dd2165192aa34d00965531fde444f90492d2c066065b45ca5a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.136875Z digest=sha256:0f77d73e031861013a3bc0518699ef57caa4586f4e3d965394ff245accb5f93d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.143833Z digest=sha256:b516ba71106b4d809e484b2e0000b26fd4deae89c3f068ea7a82b30b9e584951

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.149818Z digest=sha256:12f987d6302cf5f7621ad4e4a1341ff5e5a3d60713de4746840a7f5a6f176c17

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.156119Z digest=sha256:a240945662c8d877bf0146790200d2348004fa66dabcde16ea7da97ba9f9bc49

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.167114Z digest=sha256:02d762b65b31efbd2ba78efdbef84ed38ddbc807ef1e0b56064c20231c3bcdba

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:49:27.173952Z digest=sha256:e1d7dd3a420da02295f4504d2bfed118a7f9c80c40c498a71405fe02f39dd4fb

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T10:26:44.249802Z digest=sha256:4dbad85ec0d44655bf524dcfa926057c8ef793a6100608560686ef1af8b65aa2