Paper Citation Record · LEDGER

2-positive almost order zero maps and decomposition rank

As of 15 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:1908.03466.

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

pith.paper-citation-record.v1
1908.03466 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:30:31.507679Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

40 of 40 outbound references displayed

verified exact2
verified fuzzy22
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dee7b2c2-f075-4a94-ab0b-d44901d8d18a · outbound

This paper cites Blackadar and D.

2-positive almost order zero maps and decomposition rank Blackadar and D

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:32.277441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation df029556-0aab-4c76-96f9-406649bbb81c · outbound

This paper cites Covering dimension of C*-algebras and 2-coloured classification.

2-positive almost order zero maps and decomposition rank Covering dimension of C*-algebras and 2-coloured classification

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:30:31.670354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b349cca8-32eb-43d0-917b-cefa44852b26 · outbound

This paper cites an unresolved cited work.

2-positive almost order zero maps and decomposition rank Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:30:32.259569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 38d6668b-0013-432f-ad98-051b65debb94 · outbound

This paper cites Bratteli and D.

2-positive almost order zero maps and decomposition rank Bratteli and D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:32.240157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6062aec3-b191-48e3-a6e7-bcaa2530d250 · outbound

This paper cites Texts and Monographs in Physics.

2-positive almost order zero maps and decomposition rank Texts and Monographs in Physics

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:32.222613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 55a5f1d0-8a5f-48e9-ab45-7c57d2953b5b · outbound

This paper cites an unresolved cited work.

2-positive almost order zero maps and decomposition rank Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:30:32.205005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a9c01ccf-6416-44e5-8199-6836f2f8afc9 · outbound

This paper cites an unresolved cited work.

2-positive almost order zero maps and decomposition rank Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:30:32.186710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation aef3149c-33b2-4dc2-a33a-d4b0dc5255f3 · outbound

This paper cites an unresolved cited work.

2-positive almost order zero maps and decomposition rank Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:30:32.169717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c7c7e2b5-8392-4bd5-8547-d23d21f56301 · outbound

This paper cites an unresolved cited work.

2-positive almost order zero maps and decomposition rank Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:30:32.151820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 34ff5370-daf5-47ff-aaa2-57846e09d623 · outbound

This paper cites Connes, Classiﬁcation of injective factors Cases II 1, II ∞, III λ, λ ⁄= 1, Ann.

2-positive almost order zero maps and decomposition rank Connes, Classiﬁcation of injective factors Cases II 1, II ∞, III λ, λ ⁄= 1, Ann

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:32.136045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 17073f1a-6046-451f-a258-3e47a37ce455 · outbound

This paper cites Dadarlat and A.

2-positive almost order zero maps and decomposition rank Dadarlat and A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:32.119867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6c39cd41-d7b1-42b1-8c8f-0acdde801df2 · outbound

This paper cites an unresolved cited work.

2-positive almost order zero maps and decomposition rank Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:30:32.102785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7cbcbecc-ffbf-43ac-873f-b89c45e60d4a · outbound

This paper cites On the classification of simple amenable $C*$-algebras with finite decomposition rank, II.

2-positive almost order zero maps and decomposition rank On the classification of simple amenable $C*$-algebras with finite decomposition rank, II

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T14:30:31.361526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d039efa-a2ca-4e21-868b-f672dda873bb · outbound

This paper cites Farah, Combinatorial Set Theory of C∗-algebras, Springer Monographs in Mathe- matics, (2019).

2-positive almost order zero maps and decomposition rank Farah, Combinatorial Set Theory of C∗-algebras, Springer Monographs in Mathe- matics, (2019)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:32.085251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 523fa2f6-d041-45d8-8a49-ec8e51d67785 · outbound

This paper cites Farah, D.

2-positive almost order zero maps and decomposition rank Farah, D

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:32.066926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1f7e4512-13c9-4988-8d6b-612d4a160ecb · outbound

This paper cites Classification of finite simple amenable ${\cal Z}$-stable $C^*$-algebras.

2-positive almost order zero maps and decomposition rank Classification of finite simple amenable ${\cal Z}$-stable $C^*$-algebras

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T14:30:31.378681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 060126d7-9eeb-4a2f-b82a-c430e3a1d870 · outbound

This paper cites Jiang and H.

2-positive almost order zero maps and decomposition rank Jiang and H

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:32.048790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation db7febd1-453d-4dec-b1d9-40f7fcda43a8 · outbound

This paper cites Johnston and D.

2-positive almost order zero maps and decomposition rank Johnston and D

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:32.030984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 88fb84c0-50b2-4ca2-b9df-ad20011e4793 · outbound

This paper cites an unresolved cited work.

2-positive almost order zero maps and decomposition rank Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:30:32.007166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 817ff787-b21b-4e64-8bea-5993eb33c3dc · outbound

This paper cites an unresolved cited work.

2-positive almost order zero maps and decomposition rank Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:30:31.988051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ecff6545-7eee-4a70-a8cb-bb4c0e8b8490 · outbound

This paper cites Kishimoto and S.

2-positive almost order zero maps and decomposition rank Kishimoto and S

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:31.969413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7c3b8b56-7fa5-455a-9223-299ef24244d1 · outbound

This paper cites Kishimoto, N.

2-positive almost order zero maps and decomposition rank Kishimoto, N

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:31.953131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d6015e12-066b-4cd0-93f0-9828e40c5666 · outbound

This paper cites Kirchberg, C ∗-nuclearity implies CPAP , Math.

2-positive almost order zero maps and decomposition rank Kirchberg, C ∗-nuclearity implies CPAP , Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:31.936737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 98d1c7c3-ec16-490f-b1b4-8bf50f428f49 · outbound

This paper cites Kirchberg and W.

2-positive almost order zero maps and decomposition rank Kirchberg and W

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:31.919787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5753b225-4c62-4cf7-bc10-81fcbba19dd3 · outbound

This paper cites an unresolved cited work.

2-positive almost order zero maps and decomposition rank Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:30:31.902967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 831f54aa-ec6c-49c8-88d6-75cb55e5f512 · outbound

This paper cites Lin and Z.

2-positive almost order zero maps and decomposition rank Lin and Z

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:31.884857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f5d4bfac-f903-44bb-b01d-95ce18863d51 · outbound

This paper cites Matui and Y.

2-positive almost order zero maps and decomposition rank Matui and Y

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:31.863775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 55a9d1e3-8c84-4ff9-acf2-4d883ab28980 · outbound

This paper cites Matui and Y.

2-positive almost order zero maps and decomposition rank Matui and Y

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:31.844328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ae610731-8784-4231-8e08-c6bc03b0c1af · outbound

This paper cites Ozawa, A survey on Characterization of nuclear C∗-algebras, Surikaisekikenkyusho Kokyuroku No.

2-positive almost order zero maps and decomposition rank Ozawa, A survey on Characterization of nuclear C∗-algebras, Surikaisekikenkyusho Kokyuroku No

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:31.827122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8b6c8ea8-f1d3-4890-bd55-0a4c6b3660a1 · outbound

This paper cites an unresolved cited work.

2-positive almost order zero maps and decomposition rank Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:30:31.810858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 206c852b-877a-400f-bc98-197b35301dfe · outbound

This paper cites Trace spaces of simple nuclear C*-algebras with finite-dimensional extreme boundary.

2-positive almost order zero maps and decomposition rank Trace spaces of simple nuclear C*-algebras with finite-dimensional extreme boundary

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-14T14:30:31.457753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5291f51a-115e-460c-96ae-00088fa0bea1 · outbound

This paper cites an unresolved cited work.

2-positive almost order zero maps and decomposition rank Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:30:31.794390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a145d8dd-74bc-4bec-9e78-2e5d47da9993 · outbound

This paper cites an unresolved cited work.

2-positive almost order zero maps and decomposition rank Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:30:31.777653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3a448b7b-45c9-47bc-87f1-fb468006365a · outbound

This paper cites Quasidiagonality of nuclear C*-algebras.

2-positive almost order zero maps and decomposition rank Quasidiagonality of nuclear C*-algebras

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-14T14:30:31.472128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa8dcc67-626b-4d18-9b6f-22e9eec52263 · outbound

This paper cites Tomiyama, On the geometry of positive maps in matrix algebras.

2-positive almost order zero maps and decomposition rank Tomiyama, On the geometry of positive maps in matrix algebras

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:31.758888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 272c66dd-e037-4352-af80-5dd437b4756f · outbound

This paper cites Winter, Decomposition rank and Z-stability, Invent.

2-positive almost order zero maps and decomposition rank Winter, Decomposition rank and Z-stability, Invent

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:31.741485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 35ead896-7ca5-4355-a8a5-0b15f038e8b5 · outbound

This paper cites Winter, Nuclear dimension and Z-stability of pure C∗-algebras, Invent.

2-positive almost order zero maps and decomposition rank Winter, Nuclear dimension and Z-stability of pure C∗-algebras, Invent

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:31.724650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c3dabcbd-baaf-4487-bd47-b74f8491a7a5 · outbound

This paper cites Wolﬀ, Disjointness preserving operators on C∗-algebras, Arch.

2-positive almost order zero maps and decomposition rank Wolﬀ, Disjointness preserving operators on C∗-algebras, Arch

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:31.707316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8efe0254-0adb-4560-b183-65b5e2662313 · outbound

This paper cites Winter and J.

2-positive almost order zero maps and decomposition rank Winter and J

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:30:31.688123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8e6fd709-7f95-4a60-864e-cdaf9fb4fd02 · outbound

This paper cites The nuclear dimension of C*-algebras.

2-positive almost order zero maps and decomposition rank The nuclear dimension of C*-algebras

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:30:31.559170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.