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Paper Citation Record · LEDGER

Approximate ideal structures and K-theory

As of 16 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:1908.09241.

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

pith.paper-citation-record.v1
1908.09241 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:26:15.238825Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

36 of 36 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 99da2513-de30-4706-af26-89fb0750354a · outbound

This paper cites an unresolved cited work.

Approximate ideal structures and K-theory Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:15.880528Z

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.

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Observation 961e44dc-8dda-440a-b8f5-440c6e59dfa5 · outbound

This paper cites Blackadar.

Approximate ideal structures and K-theory Blackadar

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.867923Z

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.

source=pdf_text observed=2026-08-14T11:26:15.107067Z digest=sha256:0bdf712fef218e45fa253f09c6fb74ffcb8dce6e2c8f416680bed17c51bdeb17

Observation e2a41b43-a1a0-4579-a23f-b01d4edef9bc · outbound

This paper cites Blackadar.

Approximate ideal structures and K-theory Blackadar

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.853862Z

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.

source=pdf_text observed=2026-08-14T11:26:15.112710Z digest=sha256:71bb132601df53b86c5c7ce6fe7c46a726cfa67bf9bb67d9c9ce2d8f2b23d226

Observation 5a56e574-b4fd-4ffd-8241-e1c1a039a17a · outbound

This paper cites Anomalies and Bosonization.

Approximate ideal structures and K-theory Anomalies and Bosonization

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T11:26:15.117038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:26:15.117038Z digest=sha256:9ed8676ab04e3b75c4902c864b932df21c7069f460405d10c16ce56363b069f4

Observation 9cc55233-92b8-41c8-b0e8-1028ddc26381 · outbound

This paper cites an unresolved cited work.

Approximate ideal structures and K-theory Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:15.840213Z

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.

source=pdf_text observed=2026-08-14T11:26:15.121671Z digest=sha256:e4114acd4548f81452d30ebe87f0d0c0a27613827f0f5b7f8f2b9eaec62df9c6

Observation 2f0e5c83-a7c7-424e-9cda-db892c339587 · outbound

This paper cites Brown and N.

Approximate ideal structures and K-theory Brown and N

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.823914Z

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.

source=pdf_text observed=2026-08-14T11:26:15.125631Z digest=sha256:50dae254fb724b11ba3fe185776d37da568e87b4f7ffa6ea54a160bb9ee6a973

Observation 3b1d8d65-3772-48a3-b0bb-91aa5383184b · outbound

This paper cites Chabert, S.

Approximate ideal structures and K-theory Chabert, S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.809165Z

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.

source=pdf_text observed=2026-08-14T11:26:15.130055Z digest=sha256:20b5a97696de186c3fec56255fa9c512a469ac76cc7ca315ab3a81fcffad606b

Observation 9303c04f-14dd-4f88-b7da-4cece048172c · outbound

This paper cites an unresolved cited work.

Approximate ideal structures and K-theory Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:15.796356Z

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.

source=pdf_text observed=2026-08-14T11:26:15.133900Z digest=sha256:90d2bb4048d4ee52e27cbd67bd38bd4c420de6cbc264abda605e43a3d79d712f

Observation e432db85-6029-40c0-9e22-588f9d1710fb · outbound

This paper cites Connes and N.

Approximate ideal structures and K-theory Connes and N

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.782346Z

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.

source=pdf_text observed=2026-08-14T11:26:15.137980Z digest=sha256:ccf8a093d185c7ec8af3c926cd2292f9458531b2dab926952e33ae3ec703fe89

Observation 643ebfc7-1c88-4cf9-857b-2738a99ab167 · outbound

This paper cites an unresolved cited work.

Approximate ideal structures and K-theory Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:15.769237Z

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.

source=pdf_text observed=2026-08-14T11:26:15.141776Z digest=sha256:0147a1aa462dc7705278adb53c7365e167ee703acfcb4a227e7e933c5874f95d

Observation cfc72a82-622f-4529-a864-4e379aa863ed · outbound

This paper cites Elliott, T.

Approximate ideal structures and K-theory Elliott, T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.754594Z

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.

source=pdf_text observed=2026-08-14T11:26:15.145497Z digest=sha256:1ef0d29078b1730530dd54da91f5eec30ed9ca1fd5d7d2fa0f252f03e009d8a7

Observation fb10b095-ac15-4c35-8c62-92e5f285ea7b · outbound

This paper cites an unresolved cited work.

Approximate ideal structures and K-theory Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:15.738266Z

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.

source=pdf_text observed=2026-08-14T11:26:15.149616Z digest=sha256:6789d0b2c85f725b7bab25b8865326f7c7e5632ac0e9d8bfec5a717fbbc2c19e

Observation 9cabd169-8a94-417e-893b-69a29b164886 · outbound

This paper cites Guentner, N.

Approximate ideal structures and K-theory Guentner, N

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.724141Z

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.

source=pdf_text observed=2026-08-14T11:26:15.153032Z digest=sha256:4c9027f6b6fed1c0863d04c6b3851eaf8027b2f1fceac25e0afb67e8b80661da

Observation 784d98c8-978b-4d00-bcd8-d7704cb1a9d4 · outbound

This paper cites Guentner, R.

Approximate ideal structures and K-theory Guentner, R

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.712122Z

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.

source=pdf_text observed=2026-08-14T11:26:15.156890Z digest=sha256:d97c1e66ce2e85fc05228eb4764e265adcc0cd5c6c283f3d91a7686870ab0401

Observation 5498f8ff-dff1-4483-bbdc-4acf3fc0040d · outbound

This paper cites Guentner, R.

Approximate ideal structures and K-theory Guentner, R

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.698288Z

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.

source=pdf_text observed=2026-08-14T11:26:15.160126Z digest=sha256:cb660d29f73893da29da7dd691ac14028f57cbb0bd0a8cb1bf71ce1d82a5a1c9

Observation fa34dd14-b821-487e-89aa-522f9810c9b8 · outbound

This paper cites Dynamical complexity and controlled operator K-theory.

Approximate ideal structures and K-theory Dynamical complexity and controlled operator K-theory

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T11:26:15.163428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:26:15.163428Z digest=sha256:edb65183c1908af1d6dee923f39cb815731cfd92722b7118c84c3b7ad8e54f9a

Observation b28d2b71-b259-45c9-a5dd-9c938969c8b1 · outbound

This paper cites Guentner, R.

Approximate ideal structures and K-theory Guentner, R

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.681128Z

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.

source=pdf_text observed=2026-08-14T11:26:15.167156Z digest=sha256:c4f610b4a2875514a6939ea7c8ee6caf0c7ddd81ed4df06e7c07385ce5036a7f

Observation 6661f2b1-7b07-4f47-a0f5-cd9bff741055 · outbound

This paper cites Higson and E.

Approximate ideal structures and K-theory Higson and E

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.668427Z

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.

source=pdf_text observed=2026-08-14T11:26:15.170415Z digest=sha256:474726a0211d1a4ffe0046fa7f1bc5c07e9948e4ab13babbb63635d26f81e1f8

Observation 3ec27f01-e6d6-440b-a6da-19cd0171ccfe · outbound

This paper cites Higson and J.

Approximate ideal structures and K-theory Higson and J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.655262Z

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.

source=pdf_text observed=2026-08-14T11:26:15.173785Z digest=sha256:1a506a5f75df971712156e6c5f93ee1aa5a540be48b326fc98b2cd947adce620

Observation 959626ad-83c1-44c4-80cc-0fb9f9ff23c6 · outbound

This paper cites an unresolved cited work.

Approximate ideal structures and K-theory Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:15.638781Z

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.

source=pdf_text observed=2026-08-14T11:26:15.177643Z digest=sha256:74804d7586c6108a46b013f3a99e54173882c5f3724d4bcab1820949f38a972f

Observation 2dcabd6d-6431-4f42-a26c-58b52f14d574 · outbound

This paper cites Lafforgue.

Approximate ideal structures and K-theory Lafforgue

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.624796Z

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.

source=pdf_text observed=2026-08-14T11:26:15.181071Z digest=sha256:5e3fa27b3fbf4497eb66278405e8c1527a840d298518d84192aa19437d7b6c6d

Observation 2b5bbb7e-8222-49df-bdaa-30fadda29abb · outbound

This paper cites an unresolved cited work.

Approximate ideal structures and K-theory Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:15.611110Z

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.

source=pdf_text observed=2026-08-14T11:26:15.184782Z digest=sha256:da2837ec01630a2e91c6792fa0ae90ccab9c8f5aff20825369e54efa14bf9f7c

Observation 1b32be01-f483-48f4-913c-929a3385b6e6 · outbound

This paper cites Muhly, J.

Approximate ideal structures and K-theory Muhly, J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.596661Z

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.

source=pdf_text observed=2026-08-14T11:26:15.188773Z digest=sha256:e0192a39b065bcefc1ff30a451487dc1cb70a77efd64fbeb0adbc16a92cec8c8

Observation b8fbea2e-44f2-4ba7-a797-ebdd51c07c85 · outbound

This paper cites Oyono-Oyono and G.

Approximate ideal structures and K-theory Oyono-Oyono and G

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.581451Z

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.

source=pdf_text observed=2026-08-14T11:26:15.192775Z digest=sha256:f87da710e3d4b3d19ce952e9f1dfe92e7ada3c678b177689118abda999718dbe

Observation 0280f389-703c-4359-be2e-288eb678b9e0 · outbound

This paper cites Oyono-Oyono and G.

Approximate ideal structures and K-theory Oyono-Oyono and G

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.566286Z

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.

source=pdf_text observed=2026-08-14T11:26:15.196534Z digest=sha256:812f82076e69d878141ffd1fd79dc39da53016eee0ee32d3729c439d51bf8a1a

Observation ac56950e-6722-4eb4-8e49-0dd00ef30341 · outbound

This paper cites an unresolved cited work.

Approximate ideal structures and K-theory Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:15.550572Z

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.

source=pdf_text observed=2026-08-14T11:26:15.200359Z digest=sha256:32d38ecb4549699f5077f716d55f23915fef6985d4b4fd349cd8c5b0b12a147a

Observation 6e5a8dd6-d56d-4def-b0c3-8558932c3054 · outbound

This paper cites an unresolved cited work.

Approximate ideal structures and K-theory Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:15.531534Z

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.

source=pdf_text observed=2026-08-14T11:26:15.204300Z digest=sha256:24b8c0053c7be3efb447aad0c0f163681f180ee3ebe296543239eb4a1f13a868

Observation a5af3504-bfd3-4444-949e-4e401616bad9 · outbound

This paper cites Rørdam, F.

Approximate ideal structures and K-theory Rørdam, F

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.518315Z

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.

source=pdf_text observed=2026-08-14T11:26:15.208338Z digest=sha256:3f0bb0a5022f12347389d831aeb7d536d2e25f3464b8445587405e37f84ab562

Observation ecef67c2-e259-4474-bd63-d2a0979796c1 · outbound

This paper cites Rosenberg and C.

Approximate ideal structures and K-theory Rosenberg and C

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.506259Z

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.

source=pdf_text observed=2026-08-14T11:26:15.211953Z digest=sha256:bf35a4300993ecf6e739ccbc0f63f058b2db974a1421af7526e2c93d03d19934

Observation fbf2c486-7c19-4014-a8bc-eb7862cfde42 · outbound

This paper cites Schochet.

Approximate ideal structures and K-theory Schochet

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.492605Z

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.

source=pdf_text observed=2026-08-14T11:26:15.215553Z digest=sha256:7b9b67c47c0503151cc025ce0a6b8f89352f49bcc21ce2e1335cb3873101d6b3

Observation e618a804-9e15-43dc-8865-f655e9c599d0 · outbound

This paper cites Skandalis.

Approximate ideal structures and K-theory Skandalis

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.478196Z

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.

source=pdf_text observed=2026-08-14T11:26:15.219447Z digest=sha256:7103fbcb5fdd4938d328e3e2ea68ab812ed0472e80625421d42079767806f76a

Observation 29fb7e2c-2051-4031-a4f8-55d0d4e486e0 · outbound

This paper cites an unresolved cited work.

Approximate ideal structures and K-theory Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:15.464095Z

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.

source=pdf_text observed=2026-08-14T11:26:15.223204Z digest=sha256:3ba99735b827e441c9db7b3ed3c8c2faaaa3124ff63ef6c1d39188266e7f6d3d

Observation 7bd3f4db-31b0-4fea-8eac-7bad925300df · outbound

This paper cites an unresolved cited work.

Approximate ideal structures and K-theory Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:15.452002Z

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.

source=pdf_text observed=2026-08-14T11:26:15.226984Z digest=sha256:165b3fa9cbc4de3fab4f5acc79609161b7cbd40480bcbb4801196ccde7291035

Observation f7b1956d-6638-41eb-90cd-7218bc21da7a · outbound

This paper cites Winter and J.

Approximate ideal structures and K-theory Winter and J

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.439659Z

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.

source=pdf_text observed=2026-08-14T11:26:15.230796Z digest=sha256:06f0182ac1dad6d9cc3de04cf0af3018f7ee5ae5ba58284a42ec78c78e0ff6be

Observation 01d5d2aa-1d08-4f32-8b99-a9ee6d464ccc · outbound

This paper cites Winter and J.

Approximate ideal structures and K-theory Winter and J

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:26:15.427058Z

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.

source=pdf_text observed=2026-08-14T11:26:15.234519Z digest=sha256:0f2bd2acc2cb5fbdfbc0515745beea31359fcda0be65ec06ea1baab4d2178e7f

Observation 5e20c932-21ba-4b73-9c82-c08cb0d99775 · outbound

This paper cites an unresolved cited work.

Approximate ideal structures and K-theory Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:26:15.413783Z

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.

source=pdf_text observed=2026-08-14T11:26:15.238825Z digest=sha256:85cd350415f9d507ba87bb41c220537930de96b34c3107b6c9ee31dae0b5e31b

Pith citing papers

No inbound Pith citation observations are available.