Paper Citation Record · LEDGER

Connections on a principal Lie groupoid bundle and representations up to homotopy

As of 10 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2502.02284.

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

pith.paper-citation-record.v1
2502.02284 v4

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T12:46:36.121862Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

44 of 44 outbound references displayed

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External citation measurements

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Outbound references

Observation c697b2ab-1df5-45e8-99bd-db28434517ea · outbound

This paper cites Representations u p to homotopy and Bott’s spectral sequence for Lie groupoids.

Connections on a principal Lie groupoid bundle and representations up to homotopy Representations u p to homotopy and Bott’s spectral sequence for Lie groupoids

Reference 1

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Observation a285e83c-4f25-49e1-9f2c-d140d3f3fac4 · outbound

This paper cites Non abelian bundle gerbes, their diﬀerential geometry and gaug e theory.

Connections on a principal Lie groupoid bundle and representations up to homotopy Non abelian bundle gerbes, their diﬀerential geometry and gaug e theory

Reference 2

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Connections on a principal Lie groupoid bundle and representations up to homotopy Unresolved cited work

Reference 3

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This paper cites Equiva riant cohomology for diﬀerentiable stacks.

Connections on a principal Lie groupoid bundle and representations up to homotopy Equiva riant cohomology for diﬀerentiable stacks

Reference 4

Resolution: verified exact; doi, observed 2026-08-09T12:46:36.309050Z

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Observation 4b0d99d6-6f17-4b20-8516-127fd977ba0f · outbound

This paper cites Diﬀerentiable stacks and gerbes.

Connections on a principal Lie groupoid bundle and representations up to homotopy Diﬀerentiable stacks and gerbes

Reference 5

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Connections on a principal Lie groupoid bundle and representations up to homotopy Unresolved cited work

Reference 6

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Observation c7624016-eb6e-4c90-b31c-4ce51d77c0c1 · outbound

This paper cites Atiyah sequences, con nections and characteristic forms for principal bundles ov er groupoids and stacks.

Connections on a principal Lie groupoid bundle and representations up to homotopy Atiyah sequences, con nections and characteristic forms for principal bundles ov er groupoids and stacks

Reference 7

Resolution: verified exact; doi, observed 2026-08-09T12:46:36.300404Z

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Observation b52aa899-76d8-4172-bda4-4e7848ff4b52 · outbound

This paper cites Atiyah sequences and connections on principal bundles over Lie groupoids and diﬀerentiable s tacks.

Connections on a principal Lie groupoid bundle and representations up to homotopy Atiyah sequences and connections on principal bundles over Lie groupoids and diﬀerentiable s tacks

Reference 8

Resolution: verified exact; doi, observed 2026-08-09T12:46:36.290837Z

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Observation 58edb6c1-f029-42d6-be38-ee52ff8b41f6 · outbound

This paper cites Connections on Lie groupoids and Chern- Weil theory.

Connections on a principal Lie groupoid bundle and representations up to homotopy Connections on Lie groupoids and Chern- Weil theory

Reference 9

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Observation 0c8bd712-547f-4f1f-b7d1-7ab2d855d829 · outbound

This paper cites Stacky Lie groups.

Connections on a principal Lie groupoid bundle and representations up to homotopy Stacky Lie groups

Reference 10

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Observation ce07ca47-f359-4cd4-bf62-5d01bb264d92 · outbound

This paper cites Principal actions of stacky Lie groupoids.

Connections on a principal Lie groupoid bundle and representations up to homotopy Principal actions of stacky Lie groupoids

Reference 11

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Observation e14fe6a8-5a88-438f-a805-d1e89c2afce8 · outbound

This paper cites Parallel transport on a Lie 2-group bundle over a Lie groupoid along Haefliger paths.

Connections on a principal Lie groupoid bundle and representations up to homotopy Parallel transport on a Lie 2-group bundle over a Lie groupoid along Haefliger paths

Reference 12

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Observation 7c880621-fe5c-4991-ab81-dd2fce941b43 · outbound

This paper cites On two notion s of a gerbe over a stack.

Connections on a principal Lie groupoid bundle and representations up to homotopy On two notion s of a gerbe over a stack

Reference 13

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Observation 969abf20-396a-4812-85ca-6059164f0698 · outbound

This paper cites Atiyah sequence and gauge transformations of a prin ci- pal 2-bundle over a Lie groupoid.

Connections on a principal Lie groupoid bundle and representations up to homotopy Atiyah sequence and gauge transformations of a prin ci- pal 2-bundle over a Lie groupoid

Reference 14

Resolution: verified exact; doi, observed 2026-08-09T12:46:36.265296Z

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Observation 255f2388-8fb3-4a69-a18b-a98e574fd87d · outbound

This paper cites Daniel Christensen and Enxin Wu.

Connections on a principal Lie groupoid bundle and representations up to homotopy Daniel Christensen and Enxin Wu

Reference 15

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Observation d1a5f42a-f7b3-4a3f-b8d9-c2aa7df94793 · outbound

This paper cites Integrability o f Lie brackets.

Connections on a principal Lie groupoid bundle and representations up to homotopy Integrability o f Lie brackets

Reference 16

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Observation ebb0fd86-6354-4f0a-a083-9b0bce59dc88 · outbound

This paper cites Lectures on Integrability of Lie Brackets.

Connections on a principal Lie groupoid bundle and representations up to homotopy Lectures on Integrability of Lie Brackets

Reference 17

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Observation f009d516-5477-4219-8c27-c69e26bea7f2 · outbound

This paper cites Curved Yang-Mills-Higgs gauge theories in the case of massless gauge bosons.

Connections on a principal Lie groupoid bundle and representations up to homotopy Curved Yang-Mills-Higgs gauge theories in the case of massless gauge bosons

Reference 18

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Observation 80f8fabd-fb02-422e-ab5c-3e80787ef005 · outbound

This paper cites Adjusted Connections I: Differential Cocycles for Principal Groupoid Bundles with Connection.

Connections on a principal Lie groupoid bundle and representations up to homotopy Adjusted Connections I: Differential Cocycles for Principal Groupoid Bundles with Connection

Reference 19

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Observation ea7de9d1-1375-4540-aad9-5f0283dd2f16 · outbound

This paper cites Introduction to diﬀerentiable stacks ( and gerbes, moduli spaces...).

Connections on a principal Lie groupoid bundle and representations up to homotopy Introduction to diﬀerentiable stacks ( and gerbes, moduli spaces...)

Reference 20

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Observation 4e63bfaa-5e82-403c-a1ab-8a324e71cbed · outbound

This paper cites G-gerbes, principal 2-group bundles and characteristic cla sses.

Connections on a principal Lie groupoid bundle and representations up to homotopy G-gerbes, principal 2-group bundles and characteristic cla sses

Reference 21

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Observation 47d9ff38-dd44-4345-9c16-acfee36aa121 · outbound

This paper cites Groupoïdes d’holonomie et classiﬁants.

Connections on a principal Lie groupoid bundle and representations up to homotopy Groupoïdes d’holonomie et classiﬁants

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:46:36.741959Z

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Observation 1f034f57-a22b-45e1-9b0b-0fcd5465790a · outbound

This paper cites Iglesias-Zemmour.

Connections on a principal Lie groupoid bundle and representations up to homotopy Iglesias-Zemmour

Reference 23

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Observation 07054e18-7919-45cc-93aa-ba44322ef75e · outbound

This paper cites Principal ﬁbre bundles with structural Lie groupoid.

Connections on a principal Lie groupoid bundle and representations up to homotopy Principal ﬁbre bundles with structural Lie groupoid

Reference 24

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Observation 73013876-2016-48bf-8210-6dee2c73c349 · outbound

This paper cites C hern-Weil map for principal bundles over groupoids.

Connections on a principal Lie groupoid bundle and representations up to homotopy C hern-Weil map for principal bundles over groupoids

Reference 25

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Observation 700a4813-5f19-42d6-80fa-7ff0e90a3621 · outbound

This paper cites Orbifolds as stacks? Enseign.

Connections on a principal Lie groupoid bundle and representations up to homotopy Orbifolds as stacks? Enseign

Reference 26

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Observation 6592f0e8-c199-4295-93bd-50909e57ab19 · outbound

This paper cites Mackenzie.

Connections on a principal Lie groupoid bundle and representations up to homotopy Mackenzie

Reference 27

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Connections on a principal Lie groupoid bundle and representations up to homotopy Unresolved cited work

Reference 28

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Observation b9ab9790-7f65-45d8-b705-99b6f1a1cabd · outbound

This paper cites Moerdijk.

Connections on a principal Lie groupoid bundle and representations up to homotopy Moerdijk

Reference 29

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Observation 906c8eb3-0be1-4a6e-a7a4-45c6705cf2d5 · outbound

This paper cites Moerdijk and J.

Connections on a principal Lie groupoid bundle and representations up to homotopy Moerdijk and J

Reference 30

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Observation f38bd82a-e364-4e42-9952-74bca900c036 · outbound

This paper cites Introduction to the language of stacks and gerbes.

Connections on a principal Lie groupoid bundle and representations up to homotopy Introduction to the language of stacks and gerbes

Reference 31

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Observation 01bcdf14-e115-44bf-af75-e3bd93d1c526 · outbound

This paper cites On the existence of bibundles.

Connections on a principal Lie groupoid bundle and representations up to homotopy On the existence of bibundles

Reference 32

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Connections on a principal Lie groupoid bundle and representations up to homotopy Diﬀeological vector pseudo-bundl es

Reference 33

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Observation 654a9603-be0a-413f-9b78-4f2e5a481c29 · outbound

This paper cites Multiplicative connections and their lie theory.

Connections on a principal Lie groupoid bundle and representations up to homotopy Multiplicative connections and their lie theory

Reference 34

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Observation 5ec19261-67bf-4ec9-90b8-3fb903aa3963 · outbound

This paper cites Deformation quantization of pseudo-sympl ectic (Poisson) groupoids.

Connections on a principal Lie groupoid bundle and representations up to homotopy Deformation quantization of pseudo-sympl ectic (Poisson) groupoids

Reference 35

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Observation 33be8943-4490-4ef4-b85d-52caa6aa74ff · outbound

This paper cites Regular Cartan groupoids and lo ngitudinal representations.

Connections on a principal Lie groupoid bundle and representations up to homotopy Regular Cartan groupoids and lo ngitudinal representations

Reference 36

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Observation 0b52dfa8-802b-4ad7-851f-16106d94d591 · outbound

This paper cites T wisted K-theory of diﬀerentiable stacks.

Connections on a principal Lie groupoid bundle and representations up to homotopy T wisted K-theory of diﬀerentiable stacks

Reference 37

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Connections on a principal Lie groupoid bundle and representations up to homotopy Unresolved cited work

Reference 38

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Observation 3d75ec96-5e9c-46b7-84af-f273a44cce78 · outbound

This paper cites Non-abelian higher gauge theory and cate gorical bundle.

Connections on a principal Lie groupoid bundle and representations up to homotopy Non-abelian higher gauge theory and cate gorical bundle

Reference 39

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Observation 54c029c4-1125-487c-9585-6f9b624fd672 · outbound

This paper cites Grothendieck topologies, ﬁbered cate gories and descent theory.

Connections on a principal Lie groupoid bundle and representations up to homotopy Grothendieck topologies, ﬁbered cate gories and descent theory

Reference 40

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Observation ccca059a-4ddb-4f22-ba40-505a6620f4b8 · outbound

This paper cites A global perspective to connections on principal 2-bundles.

Connections on a principal Lie groupoid bundle and representations up to homotopy A global perspective to connections on principal 2-bundles

Reference 41

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Observation 8361ba6a-777b-4177-a24c-0ae7ddb7dcd7 · outbound

This paper cites Abelianization of Lie algebroids and Lie gr oupoids.

Connections on a principal Lie groupoid bundle and representations up to homotopy Abelianization of Lie algebroids and Lie gr oupoids

Reference 42

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Observation 5668241e-e87c-4dee-bde0-03eaa0752c50 · outbound

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Connections on a principal Lie groupoid bundle and representations up to homotopy Unresolved cited work

Reference 2006

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Observation 7b03a769-a4e8-4472-9348-8c9d3374d9ad · outbound

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Connections on a principal Lie groupoid bundle and representations up to homotopy Unresolved cited work

Reference 2020

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