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Paper Citation Record · LEDGER

A classifying localic category for locally compact locales

As of 12 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2606.02025.

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

pith.paper-citation-record.v1
2606.02025 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T11:57:11.073655Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

21 of 21 outbound references displayed

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  • verified fuzzy0
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 36e9ccf3-8a6f-46bb-b34e-2956086f509a · outbound

This paper cites Classifying topoi and the axiom of infinity, Algebra Universalis 26, (1989) 341-345.

A classifying localic category for locally compact locales Classifying topoi and the axiom of infinity, Algebra Universalis 26, (1989) 341-345

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7bd4b94f-1e9a-4e2c-bda3-ce4589dd7abe · outbound

This paper cites An application of descent to a classification theorem for toposes.

A classifying localic category for locally compact locales An application of descent to a classification theorem for toposes

Reference 2

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source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:ce7ad0ebe57135c7e289e6bbf00bf5d3c928de961af0226b25710d39212a1d33

Observation 3ebac4b0-5d82-4886-8b62-fea27a4ade91 · outbound

This paper cites Stacks and equivalence of indexed categories Cahiers de Topologie et G\' e om\' e trie Diff\' e rentielle Cat\' e goriques Volume: 20, Issue: 4, page 373-399 (1979).

A classifying localic category for locally compact locales Stacks and equivalence of indexed categories Cahiers de Topologie et G\' e om\' e trie Diff\' e rentielle Cat\' e goriques Volume: 20, Issue: 4, page 373-399 (1979)

Reference 3

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no resolver link, observed 2026-06-28T11:57:11.073655Z

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Observation cd89c77e-a9a1-48fa-9e19-2435d8dc408d · outbound

This paper cites Prismatization.

A classifying localic category for locally compact locales Prismatization

Reference 4

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metadata mismatch
arxiv_id, observed 2026-07-02T01:26:24.972536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation dd92840e-26d2-4c93-b172-7eb23f29c7ec · outbound

This paper cites and Townsend, C.F.

A classifying localic category for locally compact locales and Townsend, C.F

Reference 5

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Observation 894478e0-8a82-4d61-9c1f-04dfb1dd1de5 · outbound

This paper cites A Classifying groupoid for compact Hausdorff locales.

A classifying localic category for locally compact locales A Classifying groupoid for compact Hausdorff locales

Reference 6

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arxiv_id, observed 2026-07-02T01:26:24.975178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation da5bce7f-4b47-4bce-b004-7562e2921263 · outbound

This paper cites Stone Spaces Volume 3 of Cambridge Studies in Advanced Mathematics, Cambridge University Press, 1982.

A classifying localic category for locally compact locales Stone Spaces Volume 3 of Cambridge Studies in Advanced Mathematics, Cambridge University Press, 1982

Reference 7

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source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:b9bf5623852a91a078258327d8db60438b8ab5542ff37948b000585045d8daca

Observation dbe7a78c-3e0e-41ce-a4a7-942e55fddc98 · outbound

This paper cites Sketches of an elephant: A topos theory compendium.

A classifying localic category for locally compact locales Sketches of an elephant: A topos theory compendium

Reference 8

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Source-reported events for the cited work

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source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:c5ad6a2883c8286919b40c33c7c0a3168f7d82845f46fe65008501eaa2071dd1

Observation b63a4c57-e142-4669-8f3e-df207141be0c · outbound

This paper cites and Tierney, M.

A classifying localic category for locally compact locales and Tierney, M

Reference 9

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no resolver link, observed 2026-06-28T11:57:11.073655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:09c93b3a8c70ed1631c9d977df14e64bd1d6e5745191152ef3cc8f13ace26b57

Observation 0b66864a-c5d5-4c14-bef6-8b30ca376d48 · outbound

This paper cites Predicative theories of continuous lattices.

A classifying localic category for locally compact locales Predicative theories of continuous lattices

Reference 10

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:014444694ce55a0305443c90180713dbf52b82270be57539036cb9d1b77ab58d

Observation 54d011b7-e556-488e-92a2-76a5f9d0c8cd · outbound

This paper cites an unresolved cited work.

A classifying localic category for locally compact locales Unresolved cited work

Reference 11

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verified exact
arxiv_id, observed 2026-07-02T01:26:24.969801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation bc146df6-f191-40ad-a3d8-f66e2f97ae16 · outbound

This paper cites The classifying topos of a continuous groupoid.

A classifying localic category for locally compact locales The classifying topos of a continuous groupoid

Reference 12

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Unavailable: canonical work link unavailable.

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Observation cdf97c21-26f7-4b3d-9afc-7391235e80d5 · outbound

This paper cites Foundations of Topological Stacks I.

A classifying localic category for locally compact locales Foundations of Topological Stacks I

Reference 13

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verified exact
local_arxiv, observed 2026-07-02T01:26:24.977947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:5120472038231d61160d8c371e3d2ffe4b6fdfc4b3b04b0cccafdc99a0f05f0a

Observation f678f5f6-02ac-4572-bf44-d83e10bd3668 · outbound

This paper cites Etendues and stacks as bicategories of fractions Compositio Mathematica, tome 102, no 3 (1996), p.

A classifying localic category for locally compact locales Etendues and stacks as bicategories of fractions Compositio Mathematica, tome 102, no 3 (1996), p

Reference 14

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:391b344d170644b36800fcc3ab2a07a4dc6cfd5e6a0f7324646058ffcd03b805

Observation 3a148b7d-b811-4bc1-a046-7b44d683fcd2 · outbound

This paper cites Internal categories, anafunctors and localisations Theory and Applications of Categories, Vol.

A classifying localic category for locally compact locales Internal categories, anafunctors and localisations Theory and Applications of Categories, Vol

Reference 15

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source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:d4df9889cb0f78c19348884a4d04ec6426b2bd7d5009e7e825e346533b54d02f

Observation 438faca2-16eb-4b77-ad49-2f29035defaf · outbound

This paper cites On the Parallel Between the Suplattice and Preframe Approaches to Locale Theory, Annals of Pure and Applied Logic, 1-3, Vol.

A classifying localic category for locally compact locales On the Parallel Between the Suplattice and Preframe Approaches to Locale Theory, Annals of Pure and Applied Logic, 1-3, Vol

Reference 16

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no resolver link, observed 2026-06-28T11:57:11.073655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:d86100b92de0eae204d812c2d32a97fb30492964a4d82351c057296de239b99a

Observation 9cea7229-07ea-4269-9c75-e55d4e98d291 · outbound

This paper cites Presenting Locale Pullback via Directed Complete Partial Orders, Theoretical Computer Science 316 (2004) 225-258.

A classifying localic category for locally compact locales Presenting Locale Pullback via Directed Complete Partial Orders, Theoretical Computer Science 316 (2004) 225-258

Reference 17

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no resolver link, observed 2026-06-28T11:57:11.073655Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:60ebba9cb4dd4923add6071fa372136b3c0b4805d9d9d66911af4fe0c868661c

Observation 26016eb5-3054-438b-a4a1-405f3acf50b1 · outbound

This paper cites Hilsum-Skandalis maps as Frobenius adjunctions with application to geometric morphisms, Tbilisi Mathematical Journal Volume 10 Issue 3 (2017), 83-119.

A classifying localic category for locally compact locales Hilsum-Skandalis maps as Frobenius adjunctions with application to geometric morphisms, Tbilisi Mathematical Journal Volume 10 Issue 3 (2017), 83-119

Reference 18

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no resolver link, observed 2026-06-28T11:57:11.073655Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:0dc1686a0bb78928a9096542d16401057f51cf8419a7c3a26d75f5301216e66a

Observation 32f6bf74-2073-4f47-a70e-26b122bd7988 · outbound

This paper cites Distributive Idempotents in an Order-Enriched Category.

A classifying localic category for locally compact locales Distributive Idempotents in an Order-Enriched Category

Reference 19

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source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:bee63fce031149f31aa1499bb71db6c75ecd6c8450af126da741f99c10513de3

Observation 2e6007ef-941f-4cf5-9253-67cd9ff253fd · outbound

This paper cites A result about continuous lattices over the Sierpi\' n ski locale , Cahiers de Topologie et G\' e om\' e trie Diff\' e rentielle Cat\' e goriques LXVI(2), (2025) 19-32.

A classifying localic category for locally compact locales A result about continuous lattices over the Sierpi\' n ski locale , Cahiers de Topologie et G\' e om\' e trie Diff\' e rentielle Cat\' e goriques LXVI(2), (2025) 19-32

Reference 20

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:af3b0bc734b27408b2bb126eede8c1a4a5a34a6c8d1a43e44506821077ed633e

Observation 1e749864-ce75-4d86-82e6-5e707a4e5d6e · outbound

This paper cites Information systems for continuous posets, Theoretical Computer Science, vol.

A classifying localic category for locally compact locales Information systems for continuous posets, Theoretical Computer Science, vol

Reference 21

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T11:57:11.073655Z digest=sha256:0b8f0bfc8c101edf94866a52df0bfc4bb321aab5c0b63c583f5772f5aeaf9186

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