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Paper Citation Record · LEDGER

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2505.24180.

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

pith.paper-citation-record.v1
2505.24180 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:42:41.067153Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

24 of 24 outbound references displayed

  • verified exact1
  • verified fuzzy21
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b89e762b-f6e4-40c0-bf62-bec24e38920b · outbound

This paper cites Reconstruction of graded groupoids from graded Steinberg algebras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Reconstruction of graded groupoids from graded Steinberg algebras

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:44.638327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:38.943581Z digest=sha256:2a4351f48885954011d194556ea72593ba6d7d52c9424606d0f6b2ecadb99cdb

Observation a23ee7a7-d7d0-4d22-b0fc-43ef43da471d · outbound

This paper cites Reconstruction of twisted Steinberg alge- bras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Reconstruction of twisted Steinberg alge- bras

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:44.481267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:39.065142Z digest=sha256:cf69b395fa54d856e7b6581d39952c2eeb8d35dfdc4540490e8eb545f24f39d1

Observation eacb2c08-0ab6-4b4f-acba-6c3955bd593d · outbound

This paper cites Twisted Steinberg algebras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Twisted Steinberg algebras

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:44.317335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:39.213856Z digest=sha256:670fc0e0fd485c927d8a5d61e3ca059909a5d8cb8076b31cb5e50d9273d3f3bf

Observation 288a3970-69f3-437b-bf90-a043abb50253 · outbound

This paper cites Filtering germs: groupoids associated to inverse semigroups.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Filtering germs: groupoids associated to inverse semigroups

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:44.210818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:39.315852Z digest=sha256:7f8c80308ba6666fcdde8b3a80a428bcdd234bf44270086194358f3410759dd3

Observation 18b81746-69bd-4f2f-a7fe-e8a3a4687c36 · outbound

This paper cites Reconstructing ´ etale groupoids from semigroups.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Reconstructing ´ etale groupoids from semigroups

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:44.107732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:39.433551Z digest=sha256:86a7892f44e7842aff8130252467c586f85e1e78838d01eef198613ae41b8d2d

Observation 45aac0a4-927a-4032-928a-0f3974b3f280 · outbound

This paper cites Cartan semigroups and twisted groupoid C*-algebras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Cartan semigroups and twisted groupoid C*-algebras

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:43.962768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:39.542724Z digest=sha256:cf7c10f473f437888d2602db1e66775619698e8d747e524f76a2d04439bfa1fb

Observation eee1ad33-afcd-4286-8e27-1f7277011765 · outbound

This paper cites Intermediate Subalgebras of Cartan embeddings in rings and C*-algebras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Intermediate Subalgebras of Cartan embeddings in rings and C*-algebras

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:42:41.261216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:39.653130Z digest=sha256:05cc577a6e25e05abd848ca295b9979063c6a160b831a60ffd3062c5eb154c81

Observation 862e00a3-97b5-490f-a115-5633119d2411 · outbound

This paper cites Graded C ∗-algebras and twisted groupoid C ∗-algebras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Graded C ∗-algebras and twisted groupoid C ∗-algebras

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:43.896622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:39.721329Z digest=sha256:52ef2dfa7bb951d8fa73a2530e715f28a3c4c868cc5937a56a88b9a6bdef4961

Observation 7f2ca5f7-c564-42bc-b8a9-dc334382ca43 · outbound

This paper cites Diagonal-preserving graded isomorphisms of Steinberg algebras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Diagonal-preserving graded isomorphisms of Steinberg algebras

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:43.732464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:39.794038Z digest=sha256:0d77cec51946dbab5a64ef728c0e710a69aea1a196bb660664822513b2b52862

Observation 80e187ba-29ec-49d1-a15e-b7d6c1b815d3 · outbound

This paper cites A groupoid generalisation of Leavitt path algebras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras A groupoid generalisation of Leavitt path algebras

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:43.548064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:39.862011Z digest=sha256:96c8a2a2174e1432b79829521d5cb10f1a9df8eadaa2d7490fe352c365a88a8c

Observation 06d11e0f-19ad-4488-974e-3bcc7060d8e8 · outbound

This paper cites Equivalent groupoids have Morita equivalent Steinberg algebras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Equivalent groupoids have Morita equivalent Steinberg algebras

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:43.365624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:39.968597Z digest=sha256:a5c394c3b1b2a1345ea8a1850259e69b0c8c04c28f6d875fec50ef45025dd94c

Observation eca12472-2ce4-47ef-a787-eea3ffbae479 · outbound

This paper cites A counterexample to the unit conjecture for group rings.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras A counterexample to the unit conjecture for group rings

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:43.163317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:40.083584Z digest=sha256:806e610c2e96b3c04f85f993d3d2dc817eddef7cd67364ac44504063b5ebe556

Observation b34ab041-b715-4efa-965b-73d304af0dc4 · outbound

This paper cites Alg` ebres commutatives engendr´ ees par leurs ´ el´ ements idempotents.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Alg` ebres commutatives engendr´ ees par leurs ´ el´ ements idempotents

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:43.000528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:40.211918Z digest=sha256:02e9672ba6a1f698f9bad93b4b3bf1a06d8bcac2eca07e351dafc952776015e7

Observation 7f0fdb3c-27a0-464c-b774-923bcf690242 · outbound

This paper cites On C ∗-diagonals.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras On C ∗-diagonals

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:42.791274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:40.278496Z digest=sha256:94499c86379c21d89ddec245795e2f93a792aa0087f03508a91a8779b8af39c3

Observation e06194b7-1406-4a06-a72b-557f67ae6128 · outbound

This paper cites A noncommutative generalization of Stone duality.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras A noncommutative generalization of Stone duality

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:42.618357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:40.388397Z digest=sha256:f485ea8ef90930a4b9de3d61e16144aa88ecb7e196580a1017fa0a1a0f650cad

Observation fcf2d017-3594-4e4e-9755-d47d4512ca4b · outbound

This paper cites Non-commutative Stone duality: inverse semigroups, topological groupoids and C ∗-algebras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Non-commutative Stone duality: inverse semigroups, topological groupoids and C ∗-algebras

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:42.399893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:40.535574Z digest=sha256:c18ac0d7648eeab252c53184c1a78d6ac7be5200512c0f37bd633ee058e52cd4

Observation c654d40a-8a09-4ad3-b1e1-f10c382f6322 · outbound

This paper cites The ´ etale groupoid of an inverse semigroup as a groupoid of filters.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras The ´ etale groupoid of an inverse semigroup as a groupoid of filters

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:42.304738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:40.651596Z digest=sha256:4d088bdf944a0fdf6980a80a08196b84fbe0a4531cdc63c1785e3c477d162825

Observation 83206ea0-893f-46e5-8f45-961a823082f9 · outbound

This paper cites an unresolved cited work.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:42.093605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:40.747078Z digest=sha256:2bfd7f7564b5dd114ee6901580c1f08dee7082a3089f404dc7685b45e8149536

Observation 444a2e85-5511-4b9f-afe2-887db122b802 · outbound

This paper cites On an order-based construction of a topological groupoid from an inverse semigroup.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras On an order-based construction of a topological groupoid from an inverse semigroup

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:41.968718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:40.796144Z digest=sha256:6a2666c7639519070c604d46892828f1bb1ab43b02cf3feb3764b7b2cf75178f

Observation 1cf887b9-42b8-49ec-b03e-430c81d37342 · outbound

This paper cites an unresolved cited work.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:41.887522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:40.840332Z digest=sha256:4e7ad050e64c54fe7a862faabe3516eeb122b0bedc34a61ca83458df747fa380

Observation 89af591d-ab28-4aff-aaa8-94789031532b · outbound

This paper cites Cartan subalgebras in C ∗-algebras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Cartan subalgebras in C ∗-algebras

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:41.794061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:40.907714Z digest=sha256:173f7460493d787069561354f582b0a614082ed162a44a00acf45d16fdd77301

Observation 43472205-e409-44f0-aa02-a7e00b21f093 · outbound

This paper cites Hausdorff ´ etale groupoids and their C*-algebras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Hausdorff ´ etale groupoids and their C*-algebras

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:41.666760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:40.956346Z digest=sha256:d157396f2e3af1bea6ae793afe1addfcf9ca514f17d23e85a8460417df78dd5e

Observation 889fcddb-ca2b-40e8-b171-323dfb80e99c · outbound

This paper cites A groupoid approach to discrete inverse semigroup algebras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras A groupoid approach to discrete inverse semigroup algebras

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:41.537589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:41.005135Z digest=sha256:ae23a10fcb66bf0a07fd3942ae3052c543859e75401b6e582e5430aee72b7a3e

Observation 9f7065f3-1c97-4ade-ade1-7b7f510d3039 · outbound

This paper cites Diagonal-preserving isomorphisms of ´ etale groupoid algebras.

On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Diagonal-preserving isomorphisms of ´ etale groupoid algebras

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:41.426237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:42:41.067153Z digest=sha256:d3b31f6d395b599ea439c6f0f15d8725645dc890c0e29fb34052ded5ca621fcc

Pith citing papers

No inbound Pith citation observations are available.