Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-22T08:15:26.733227Z
Paper Citation Record · LEDGER
Divisibility and Real Rank Zero
As of 16 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2605.21655.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
42 of 42 outbound references displayed
- verified exact6
- verified fuzzy30
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 5b501e2b-a751-47ed-a1e6-b5291f7d814b · outbound
This paper cites Amini, N.
Divisibility and Real Rank Zero Amini, N
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.241149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f34659e5-114c-4fa2-abde-9c05a40bf619 · outbound
This paper cites Antoine, F.
Divisibility and Real Rank Zero Antoine, F
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.223494Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9eb92821-2fbf-423a-bb34-3ce3f04ee6e8 · outbound
This paper cites Antoine, F.
Divisibility and Real Rank Zero Antoine, F
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.267036Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3ccec12a-b5bc-4493-8835-b9c100fefa1e · outbound
This paper cites Blackadar and D.
Divisibility and Real Rank Zero Blackadar and D
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.220217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 56462fc6-a664-4095-9fcf-82c82e99a212 · outbound
This paper cites Blackadar, A.
Divisibility and Real Rank Zero Blackadar, A
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.263967Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 49b2eaab-6048-4089-a236-67202c210d4f · outbound
This paper cites an unresolved cited work.
Divisibility and Real Rank Zero Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-05-22T08:16:16.257717Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c78b4aa6-6689-4e3c-abfc-00ee490cbb2c · outbound
This paper cites an unresolved cited work.
Divisibility and Real Rank Zero Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-05-22T08:16:16.197708Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5e968d56-7db2-4113-8b38-07ba5d4ae18d · outbound
This paper cites an unresolved cited work.
Divisibility and Real Rank Zero Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-05-22T08:16:16.194417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6615306d-bbd7-4920-813e-9718645a8c7d · outbound
This paper cites Tracially Complete C*-Algebras.
Divisibility and Real Rank Zero Tracially Complete C*-Algebras
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-07-30T01:15:48.075015Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 97d9d221-5c52-4cfa-bbb7-4c12c8becf6f · outbound
This paper cites Castillejos1, S.
Divisibility and Real Rank Zero Castillejos1, S
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.270006Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5b555e60-0df1-48e1-b27c-454938a676da · outbound
This paper cites Castillejos1, S.
Divisibility and Real Rank Zero Castillejos1, S
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.213049Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 47732cd2-5eee-44b2-8caa-0915fb8b09b4 · outbound
This paper cites Castillejos, K.
Divisibility and Real Rank Zero Castillejos, K
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.244535Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bc97ab04-2f7d-49d6-9dc4-c664be651ca4 · outbound
This paper cites Cuntz and G.
Divisibility and Real Rank Zero Cuntz and G
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.187447Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2f29efd2-0696-4515-828b-069b9f729294 · outbound
This paper cites Dadarlat and A.
Divisibility and Real Rank Zero Dadarlat and A
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.261071Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation baf7d915-cf52-4eae-bc23-ba78bc9f0a23 · outbound
This paper cites Elliott, G.
Divisibility and Real Rank Zero Elliott, G
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.254453Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4058334f-6715-404b-ab9d-02588093e027 · outbound
This paper cites Elliott, T.
Divisibility and Real Rank Zero Elliott, T
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.191169Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 45a10b10-4458-4ecc-9868-410e2aa8e768 · outbound
This paper cites A class of simple C*-algebras with stable rank one.
Divisibility and Real Rank Zero A class of simple C*-algebras with stable rank one
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-22T08:16:15.967136Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e7e5edfd-1f6d-4360-81c6-ec34136f3c92 · outbound
This paper cites Elliott, L.
Divisibility and Real Rank Zero Elliott, L
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.276895Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1217d0f4-be69-463e-b6d0-b0d2d1adc544 · outbound
This paper cites The real and stable rank of tracially complete C*-algebras.
Divisibility and Real Rank Zero The real and stable rank of tracially complete C*-algebras
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-05-22T08:16:15.993331Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 776bc6a4-0836-4ea1-9b95-96abfa65949f · outbound
This paper cites Fu,From stable rank one to real rank zero: a note on tracial approximate oscilla- tion zero.preprint, arXiv: 2512.23911.
Divisibility and Real Rank Zero Fu,From stable rank one to real rank zero: a note on tracial approximate oscilla- tion zero.preprint, arXiv: 2512.23911
Reference 20
- Resolution
- verified exact
- arxiv_id, observed 2026-05-22T08:16:15.959258Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 03931a85-36bb-4802-8145-5ba4639f8bf9 · outbound
This paper cites an unresolved cited work.
Divisibility and Real Rank Zero Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-05-22T08:16:16.227310Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e6667b8e-780c-4d08-a476-e8fa1ca42bb8 · outbound
This paper cites Fu and H.
Divisibility and Real Rank Zero Fu and H
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.237582Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0504893a-5823-4d67-a770-1b13aa093fd9 · outbound
This paper cites Fu and H.
Divisibility and Real Rank Zero Fu and H
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.208968Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ed0003e7-2488-43a2-914e-dd59f478d2b9 · outbound
This paper cites Fu and H.
Divisibility and Real Rank Zero Fu and H
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.234416Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6939e420-ce80-4821-a5b9-3f52c7f746e7 · outbound
This paper cites Haagerup,Quasitraces on exactC ∗-algebras are traces.C.
Divisibility and Real Rank Zero Haagerup,Quasitraces on exactC ∗-algebras are traces.C
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.231257Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 55b982d2-4779-4566-8754-84c1fbd4327a · outbound
This paper cites Hirshberg and J.
Divisibility and Real Rank Zero Hirshberg and J
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.289575Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9c09e039-a7c2-4196-a625-aebbec319674 · outbound
This paper cites Stable rank of $\mathrm{C}(X)\rtimes\Gamma$.
Divisibility and Real Rank Zero Stable rank of $\mathrm{C}(X)\rtimes\Gamma$
Reference 27
- Resolution
- verified exact
- arxiv_id, observed 2026-05-22T08:16:15.944187Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e6b1ea9c-f3e1-485e-b03b-9cd6f8a47bc0 · outbound
This paper cites Lin,Simple nuclearC ∗-algebras of tracial topological rank one.J.
Divisibility and Real Rank Zero Lin,Simple nuclearC ∗-algebras of tracial topological rank one.J
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.292798Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 13b3cfe3-0242-4fa1-bf02-08f696bacaf9 · outbound
This paper cites Lin,Strict comparison and stable rank one.J.
Divisibility and Real Rank Zero Lin,Strict comparison and stable rank one.J
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.286878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 391fa23a-65ec-4d9b-955b-edbcd2c5c800 · outbound
This paper cites Lin,Tracial oscillation zero andZ-stability.Adv.
Divisibility and Real Rank Zero Lin,Tracial oscillation zero andZ-stability.Adv
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.295891Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 54d5dfd1-6472-4323-8d30-df155f1a4e5e · outbound
This paper cites an unresolved cited work.
Divisibility and Real Rank Zero Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-05-22T08:16:16.179159Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7ec02e51-b16b-42a7-9476-d9dbe051b8a9 · outbound
This paper cites an unresolved cited work.
Divisibility and Real Rank Zero Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-05-22T08:16:16.251210Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8a362afe-8cea-4972-95a2-9962a0c07810 · outbound
This paper cites Robert and M.
Divisibility and Real Rank Zero Robert and M
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.248030Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6a5d642a-1c89-46c3-84b4-ca0ced3681e6 · outbound
This paper cites Rørdam,On the structure of simpleC ∗-algebras tensored with a UHF-algebra.J.
Divisibility and Real Rank Zero Rørdam,On the structure of simpleC ∗-algebras tensored with a UHF-algebra.J
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.183656Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation afd93375-43dc-4891-bf02-836fb0fc75db · outbound
This paper cites Rørdam,On the structure of simpleC ∗-algebras tensored with a UHF-algebra, II.
Divisibility and Real Rank Zero Rørdam,On the structure of simpleC ∗-algebras tensored with a UHF-algebra, II
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.205067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f3f7cd24-f130-4a3f-ae65-20c40dc642bc · outbound
This paper cites Thiel,Ranks of operators in simpleC ∗-algebras with stable rank one.Comm.
Divisibility and Real Rank Zero Thiel,Ranks of operators in simpleC ∗-algebras with stable rank one.Comm
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.283627Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 668e059d-c151-420c-a31b-0627ef5ee57b · outbound
This paper cites Tikuisis,Nuclear dimension,Z-stability, and algebraic simplicity for stably pro- jectionlessC ∗-algebras.Math.
Divisibility and Real Rank Zero Tikuisis,Nuclear dimension,Z-stability, and algebraic simplicity for stably pro- jectionlessC ∗-algebras.Math
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.201344Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 591d9ed1-e578-4928-b7cf-aca75e2c391e · outbound
This paper cites Stable rank one, tracial local homogeneity and uniform property $\Gamma$.
Divisibility and Real Rank Zero Stable rank one, tracial local homogeneity and uniform property $\Gamma$
Reference 38
- Resolution
- verified exact
- local_arxiv, observed 2026-05-22T08:16:15.980496Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a0bde8c6-5919-4e53-9759-17f099d423f1 · outbound
This paper cites Villadsen,SimpleC ∗-algebras with perforation.J.
Divisibility and Real Rank Zero Villadsen,SimpleC ∗-algebras with perforation.J
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.273611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d1b2170d-4b45-46ad-8454-3805fa4d5f47 · outbound
This paper cites Winter,Nuclear dimension andZ-stability of pureC ∗-algebras.Invent.
Divisibility and Real Rank Zero Winter,Nuclear dimension andZ-stability of pureC ∗-algebras.Invent
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.216876Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c7dd6eb1-0b52-4cba-b9dc-634103548b41 · outbound
This paper cites Winter and J.
Divisibility and Real Rank Zero Winter and J
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.280192Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation deeccd92-322a-4fb7-ad63-64eb46b23eae · outbound
This paper cites Zhang,Matricial structure and homotopy type of simpleC ∗-algebras with real rank zero.J.
Divisibility and Real Rank Zero Zhang,Matricial structure and homotopy type of simpleC ∗-algebras with real rank zero.J
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T08:16:16.175598Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.