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Paper Citation Record · LEDGER

Cup and cap products for cohomology and homology groups of ample groupoids

As of 23 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2411.14906.

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

pith.paper-citation-record.v1
2411.14906 v3

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:52:41.316393Z

measured 39 of 39 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 2026-08-10T23:15:28.389430Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T23:15:28.499849Z

Reference resolution

38 of 38 outbound references displayed

  • verified exact2
  • verified fuzzy33
  • unresolved3
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External citation measurements

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Outbound references

Observation 07cf38f8-140e-4919-aebc-8d5824ed645c · outbound

This paper cites Akkermans, Y.

Cup and cap products for cohomology and homology groups of ample groupoids Akkermans, Y

Reference 1

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation a80178fd-dd6d-4e55-aa37-e176ae0f1b35 · outbound

This paper cites an unresolved cited work.

Cup and cap products for cohomology and homology groups of ample groupoids Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-12T14:52:40.997387Z digest=sha256:7b7881d99e6b885bbcbaf2d5107814a48539b41c23fa2876387c212fab99f992

Observation 8e1ff2fd-b425-4f08-bf32-fb90fafbba3d · outbound

This paper cites Bellissard, R.

Cup and cap products for cohomology and homology groups of ample groupoids Bellissard, R

Reference 3

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source=pdf_text observed=2026-08-12T14:52:41.002688Z digest=sha256:5a0dae86dc0c99ed0b2644326505fad9b4541b949e92edfd14791e8fe1baf12c

Observation f2f866ae-14d7-4a62-967e-2131018da52e · outbound

This paper cites Bellissard, J.

Cup and cap products for cohomology and homology groups of ample groupoids Bellissard, J

Reference 4

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source=pdf_text observed=2026-08-12T14:52:41.012636Z digest=sha256:1c87422704b97b67451fd0b8d29854b6b474e6c0966b21e97ef16d839b083317

Observation 7d38a5b5-6aff-49ed-a871-b0b9b83c63fe · outbound

This paper cites Benameur and H.

Cup and cap products for cohomology and homology groups of ample groupoids Benameur and H

Reference 5

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source=pdf_text observed=2026-08-12T14:52:41.019765Z digest=sha256:81936e44fd05553005894dda17aa149f96254aa110b1f7f4a16b9fed92f5ad89

Observation 409fe000-6c53-4a25-b6d6-1a95c705b876 · outbound

This paper cites B¨ onicke, C.

Cup and cap products for cohomology and homology groups of ample groupoids B¨ onicke, C

Reference 6

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:52:41.028604Z digest=sha256:e134bf00c4ef32e85f6a1a50ec75a9534ca5ad68be694de056bb5dfd7abd33a9

Observation ed678b27-314c-46dd-a615-1f6ae3c00063 · outbound

This paper cites Crainic, Cyclic cohomology and characteristic classes for foliations , Ph.D.

Cup and cap products for cohomology and homology groups of ample groupoids Crainic, Cyclic cohomology and characteristic classes for foliations , Ph.D

Reference 7

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source=pdf_text observed=2026-08-12T14:52:41.037100Z digest=sha256:b344980d39797c1f30563a7e6652e58a2674524648d848be3654c03e3e04bb16

Observation 2666ea4f-ec29-4c59-afe8-c70ef78e8fd7 · outbound

This paper cites A Homology Theory for Etale Groupoids.

Cup and cap products for cohomology and homology groups of ample groupoids A Homology Theory for Etale Groupoids

Reference 8

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local_arxiv, observed 2026-08-12T14:52:41.456677Z

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=2026-08-12T14:52:41.044603Z digest=sha256:3274d84d23e4a4d5b008eec33b18e4c60907411d69930cc49f7bb62ded782083

Observation 2e5eb34e-b89a-47ff-811b-580f2dd11461 · outbound

This paper cites Crainic and I.

Cup and cap products for cohomology and homology groups of ample groupoids Crainic and I

Reference 9

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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=2026-08-12T14:52:41.050542Z digest=sha256:e2ac162439aa3a6bfe6ba34de79ff6932c4dd27d282c6c4fe631317a032f5932

Observation 9cd53731-d2a2-4db6-aeaf-5247d127620c · outbound

This paper cites de la Harpe and G.

Cup and cap products for cohomology and homology groups of ample groupoids de la Harpe and G

Reference 10

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source=pdf_text observed=2026-08-12T14:52:41.070636Z digest=sha256:036dd66fd1f3900a2720a6c54cfdd98434c4f08120a1e76587d0262b98968af9

Observation 71bb9555-2366-4ab5-8484-f77d08291364 · outbound

This paper cites Farsi, A.

Cup and cap products for cohomology and homology groups of ample groupoids Farsi, A

Reference 11

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source=pdf_text observed=2026-08-12T14:52:41.083854Z digest=sha256:864cb6b4ee39ca80e28ecb21f7c1ab7a26fde357c49c4fb7e101e0a39075ceb8

Observation 12158440-85ea-40c0-acf2-adec3509229b · outbound

This paper cites G¨ ahler, J.

Cup and cap products for cohomology and homology groups of ample groupoids G¨ ahler, J

Reference 12

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:52:41.094175Z digest=sha256:66e40bc23e4d6416ffcdd78a96030af9642bea3a339d3ae89a30dfa649d1b9c8

Observation 4822b476-06dc-433e-a600-ee5b62e48fb6 · outbound

This paper cites Godement, Topologie alg´ ebrique et th´ eorie des faisceaux, vol.

Cup and cap products for cohomology and homology groups of ample groupoids Godement, Topologie alg´ ebrique et th´ eorie des faisceaux, vol

Reference 13

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:52:41.113014Z digest=sha256:2e9c6068270787957b49bfce3b1dbcba0d0912be50bce32bd65e80f2841b3b6e

Observation d23a4672-1318-4b67-8bd1-158047a83320 · outbound

This paper cites Haefliger, Differential cohomology , in Differential topology (Varenna, 1976), Liguori, Naples, 1979, pp.

Cup and cap products for cohomology and homology groups of ample groupoids Haefliger, Differential cohomology , in Differential topology (Varenna, 1976), Liguori, Naples, 1979, pp

Reference 14

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:52:41.120866Z digest=sha256:d123fd20de22b86cb28b4e58795575b076ec9411613cac2b6be4f1d1c65a4b81

Observation a9e39626-fd66-41bb-a40e-ac0fdeb3ff63 · outbound

This paper cites Hatcher, Algebraic topology, Cambridge University Press, Cambridge, 2002.

Cup and cap products for cohomology and homology groups of ample groupoids Hatcher, Algebraic topology, Cambridge University Press, Cambridge, 2002

Reference 15

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:52:41.129109Z digest=sha256:2ebe839d8d93b366d85c4e1b22be8cf1f71761af539eadd0c67109e05884d0e9

Observation da0d6c8e-8e7f-4b4a-a4fa-f1ad1a55fcbb · outbound

This paper cites Kaminker and I.

Cup and cap products for cohomology and homology groups of ample groupoids Kaminker and I

Reference 16

Resolution
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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=2026-08-12T14:52:41.139516Z digest=sha256:2744877f008e06671a48af141fdbb26e579f653e3eb4a40bcb0993647aae3a9e

Observation fe27a0c1-149b-4068-b7c4-f4ab5aedbcd4 · outbound

This paper cites Kellendonk, Noncommutative geometry of tilings and gap labelling , Rev.

Cup and cap products for cohomology and homology groups of ample groupoids Kellendonk, Noncommutative geometry of tilings and gap labelling , Rev

Reference 17

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source=pdf_text observed=2026-08-12T14:52:41.148682Z digest=sha256:433142f49680e11e892742c582b5bf9877fcc4ea269b49cbe443a7ec8043c056

Observation 5c041fe3-bf76-4835-a638-c49eeabee19a · outbound

This paper cites Kellendonk and I.

Cup and cap products for cohomology and homology groups of ample groupoids Kellendonk and I

Reference 18

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source=pdf_text observed=2026-08-12T14:52:41.156464Z digest=sha256:8102944434a5f113ca2e9647cfae7f62809f90b7144efd118477d655a4ad4474

Observation d548fcf5-573b-497e-a0ab-e915e47bfc57 · outbound

This paper cites Elementary amenability and almost finiteness.

Cup and cap products for cohomology and homology groups of ample groupoids Elementary amenability and almost finiteness

Reference 19

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:52:41.166707Z digest=sha256:ae0c5b0c52080590a105160893f904991f8731efb8baced9dcd17fac9ad08e65

Observation 260e71f9-b33f-4c54-a75e-941d94b35275 · outbound

This paper cites Kishimoto and A.

Cup and cap products for cohomology and homology groups of ample groupoids Kishimoto and A

Reference 20

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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=2026-08-12T14:52:41.178522Z digest=sha256:aaa1e0b6c8f8d6ae6261d71b54d6fdd6a4d1c6fd4c4750fa6279ec010189abae

Observation c1f567b1-77b1-4173-bba9-344d9de531f5 · outbound

This paper cites Li, A new approach to recent constructions of C∗-algebras from modular index theory, J.

Cup and cap products for cohomology and homology groups of ample groupoids Li, A new approach to recent constructions of C∗-algebras from modular index theory, J

Reference 21

Resolution
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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=2026-08-12T14:52:41.185537Z digest=sha256:5231c11c71cc334a847552d501e7937d1294aaad187bfa2ca8af1bc9d635e0ff

Observation a89b152f-2285-421f-8018-1b75c5444487 · outbound

This paper cites Lin, Asymptotically unitary equivalence and asymptotically inner automorphisms , Amer.

Cup and cap products for cohomology and homology groups of ample groupoids Lin, Asymptotically unitary equivalence and asymptotically inner automorphisms , Amer

Reference 22

Resolution
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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:52:41.196128Z digest=sha256:39435843ef16dfa8a6ed7611f398315b50a0cb14e57ca237f8505580ea9b3ae1

Observation 7cc95ff1-0bd8-41ae-95d1-84e5b46de1e6 · outbound

This paper cites Matui, Ext and OrderExt classes of certain automorphisms of C∗-algebras arising from Cantor minimal systems , Canad.

Cup and cap products for cohomology and homology groups of ample groupoids Matui, Ext and OrderExt classes of certain automorphisms of C∗-algebras arising from Cantor minimal systems , Canad

Reference 23

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raw_fallback, observed 2026-08-12T14:52:41.869055Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:52:41.201929Z digest=sha256:bc36bb86e450ca6bcaf70b137839a5073f326cca3f3672adb78a437501075a3d

Observation f505b1d6-4150-4a17-9bf7-68c4abf2f49c · outbound

This paper cites Matui, Classification of homomorphisms into simple Z-stable C∗-algebras, J.

Cup and cap products for cohomology and homology groups of ample groupoids Matui, Classification of homomorphisms into simple Z-stable C∗-algebras, J

Reference 24

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raw_fallback, observed 2026-08-12T14:52:41.839585Z

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=2026-08-12T14:52:41.210332Z digest=sha256:6e816669ce3d4e11bc01a0f4b17cf99c5e0fb1514dc26db97d6d78770d33d5dc

Observation 834ecfed-f90a-4185-8f5b-b4cfd902f739 · outbound

This paper cites Matui, Homology and topological full groups of ´ etale groupoids on totally discon- nected spaces, Proc.

Cup and cap products for cohomology and homology groups of ample groupoids Matui, Homology and topological full groups of ´ etale groupoids on totally discon- nected spaces, Proc

Reference 25

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:52:41.217408Z digest=sha256:a1f3c6dca8e6f1f79db65f628c8670f4d7dd0d5d926b0f0332cadf8f6b1de753

Observation 60abf295-8213-495d-a0b4-87c675515b59 · outbound

This paper cites Matui, Topological full groups of one-sided shifts of finite type , J.

Cup and cap products for cohomology and homology groups of ample groupoids Matui, Topological full groups of one-sided shifts of finite type , J

Reference 26

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raw_fallback, observed 2026-08-12T14:52:41.789905Z

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=2026-08-12T14:52:41.225590Z digest=sha256:973e7ecab7c7cacb5442942c3bad3e65856d9d1f9fc6dd92ea8d4580d2e801bd

Observation cfcd4735-2518-49bd-9f7d-5697d455ae0b · outbound

This paper cites Matui, ´Etale groupoids arising from products of shifts of finite type , Adv.

Cup and cap products for cohomology and homology groups of ample groupoids Matui, ´Etale groupoids arising from products of shifts of finite type , Adv

Reference 27

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raw_fallback, observed 2026-08-12T14:52:41.766327Z

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=2026-08-12T14:52:41.232492Z digest=sha256:18100f64489c0056da8f048ccc2aa0db6f80214d4e04756adb38b608b6bb413d

Observation 09c9fc39-3174-4876-886c-2b5dd2d3e44b · outbound

This paper cites Moerdijk, Proof of a conjecture of A.

Cup and cap products for cohomology and homology groups of ample groupoids Moerdijk, Proof of a conjecture of A

Reference 28

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raw_fallback, observed 2026-08-12T14:52:41.741087Z

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=2026-08-12T14:52:41.239750Z digest=sha256:5d83146bb1ccc8d0c1d419af1c453ab25433c4edc748179696b9c1a417427915

Observation 33d6f81d-f232-41bb-a058-4a30fe51a25f · outbound

This paper cites Niu, Radius of comparison and mean topological dimension: Zd-actions, Canad.

Cup and cap products for cohomology and homology groups of ample groupoids Niu, Radius of comparison and mean topological dimension: Zd-actions, Canad

Reference 29

Resolution
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raw_fallback, observed 2026-08-12T14:52:41.712579Z

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=2026-08-12T14:52:41.245126Z digest=sha256:cbe120377d3cab8469e82889919e80037539863ddd154b9138ff67210739582d

Observation a2611bcd-0fa0-4d3c-89cd-8f7b3e868f63 · outbound

This paper cites Ortega, The homology of the Katsura-Exel-Pardo groupoid, J.

Cup and cap products for cohomology and homology groups of ample groupoids Ortega, The homology of the Katsura-Exel-Pardo groupoid, J

Reference 30

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raw_fallback, observed 2026-08-12T14:52:41.679330Z

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=2026-08-12T14:52:41.255464Z digest=sha256:8521dbf9be8a7de16d9235b285badc748575e65b8768e68be0db20c015507b61

Observation fe1af7e8-9824-4d3e-bc8f-5d03df990b82 · outbound

This paper cites Ortega and A.

Cup and cap products for cohomology and homology groups of ample groupoids Ortega and A

Reference 31

Resolution
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raw_fallback, observed 2026-08-12T14:52:41.657506Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:52:41.263781Z digest=sha256:a5fb0dc8ef6f794df4887001fd66bfcdff33ff5d90306491b51561188dc6a26d

Observation 7897e960-0266-4150-8529-59da807f99d2 · outbound

This paper cites Ortega and E.

Cup and cap products for cohomology and homology groups of ample groupoids Ortega and E

Reference 32

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raw_fallback, observed 2026-08-12T14:52:41.633294Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:52:41.273364Z digest=sha256:5e182868c98f67def94f66571942aefb422f9c6cc09c12bcb82ae70919ac7cca

Observation 3ecbfbb4-0ab9-4b25-87e5-ab51e2bb6ad8 · outbound

This paper cites an unresolved cited work.

Cup and cap products for cohomology and homology groups of ample groupoids Unresolved cited work

Reference 33

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raw_fallback, observed 2026-08-12T14:52:41.604193Z

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=2026-08-12T14:52:41.279709Z digest=sha256:2b105d3ee368dfb1a3022c0863e74689f7714261cc2b02a7be3cf9c2414f0703

Observation 5244258e-8c20-4129-892d-58a5703bb220 · outbound

This paper cites Proietti and M.

Cup and cap products for cohomology and homology groups of ample groupoids Proietti and M

Reference 34

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raw_fallback, observed 2026-08-12T14:52:41.577875Z

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=2026-08-12T14:52:41.284900Z digest=sha256:4bd2dcd67a8346c56a96c9dedaefa35782b102b4afd35732b9f1b6d7bfb935b4

Observation 388299eb-83bd-4823-8742-40ebea79ced2 · outbound

This paper cites Renault, A groupoid approach to C∗-algebras, vol.

Cup and cap products for cohomology and homology groups of ample groupoids Renault, A groupoid approach to C∗-algebras, vol

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:52:41.553025Z

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=2026-08-12T14:52:41.292264Z digest=sha256:4ebc490e634f92652fb0142a31c731acbf0041ebcbea6599929c040b4d95df93

Observation 2a49bb36-c421-4570-a4d7-e86c04a1353d · outbound

This paper cites Renault, Cartan subalgebras in C∗-algebras, Irish Math.

Cup and cap products for cohomology and homology groups of ample groupoids Renault, Cartan subalgebras in C∗-algebras, Irish Math

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:52:41.528147Z

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=2026-08-12T14:52:41.301714Z digest=sha256:f941f3a8932c16c44dee64b66ca028d81b3cd3b7312ed7bc2daa49fa50827dca

Observation a2e53897-9b2e-457a-aaf6-91248069b8ba · outbound

This paper cites Rigidity, Generators and Homology of Interval Exchange Groups.

Cup and cap products for cohomology and homology groups of ample groupoids Rigidity, Generators and Homology of Interval Exchange Groups

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:52:41.385808Z

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=2026-08-12T14:52:41.308392Z digest=sha256:e788f995ac37e72bd8baa6ba8bfc07b7b4d8733207e3ef018881a0bf9a29f0bf

Observation deae7dc4-8a67-4d58-b9a2-fab549a51214 · outbound

This paper cites Yi, Homology and Matui’s HK conjecture for groupoids on one-dimensional solenoids, Bull.

Cup and cap products for cohomology and homology groups of ample groupoids Yi, Homology and Matui’s HK conjecture for groupoids on one-dimensional solenoids, Bull

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:52:41.484721Z

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=2026-08-12T14:52:41.316393Z digest=sha256:f1b621f9f953b8716f0dc5fc52f3b1290e5d39bceb694fd30cd809da3053b262

Pith citing papers

Observation f58a442d-40f9-4c04-9db2-f5a941b0f75f · inbound

Cohomology of ample groupoids cites this paper.

Cohomology of ample groupoids Cup and cap products for cohomology and homology groups of ample groupoids

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:15:28.504923Z

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=2026-08-10T23:15:28.389430Z digest=sha256:af9238304943b803be8ff8b674f710a218b04b4dbbd43fb18a4df1cdd4e36e79