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Paper Citation Record · LEDGER

Approximate ideal structures and K-theory

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.107067Z digest=sha256:a31cd7cb6220ad5ae1a92f6bb8e172cb7e2fd5c0b306602aed02ff7784d6552c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.112710Z digest=sha256:b8fb1ee53f7e51205027fa27c6f6e87db02b9528ab0eb2166393f1d6e657e573

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=sha256:3c3507a5da674f1e74480b0b47233d199460f56ae03fd92bc782cdc6a1e5924a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.121671Z digest=sha256:c75166a5f320eb83e045f1a1e2acd567609b91de3a9624e412a0c7cc8704a5df

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.125631Z digest=sha256:f8a18962d5128c992072ca3d645ae13bea22f5ccf1aefcb8fff15b963ab65073

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.130055Z digest=sha256:085c2f2c2f61f68d001caede868341fabae87a56b8b105cded358c486a16e749

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.133900Z digest=sha256:335daa1522a1eae50a75b9a099a53eea0acf07bd29be6f0aae33267756a90952

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.137980Z digest=sha256:eeb6dc2acbc3a770cc715c32fc255c99d92051e79219cce8df8d6e721ce3e457

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.141776Z digest=sha256:bd3ab02c22b850b85caf3a623da6d7e0aed95188711196facc4fb9b4179d2fc0

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.145497Z digest=sha256:11a832b50848a5a10b50fe0d8050ff3a9da78edfad800136b0cc4b4a202bce1d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.149616Z digest=sha256:ebdf92b817a2e5531d3fed23ba904603b792bbb97f3e8c589b737c583a0f25b9

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.153032Z digest=sha256:fb53230c28bf634fdf131df158cfbe153cb872e78521b0ce15b99e375af10f69

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.156890Z digest=sha256:376554c8b4e26647944202717eccafc783f78b04ffd82d3873cfb2da91e8662c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.160126Z digest=sha256:443a58011f17d32505f4b7f74715960112f881b97c5d9f4812a00877749355a4

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:f47f77b286af985fc4b0471f3d2822b72a694b255e30b6888a824bd167788b70

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.167156Z digest=sha256:a3887939a70163f3f0f4b32c25eb4ed86f120f80062d44585fa93927e807b15c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.170415Z digest=sha256:709e746bde14440c810f75000eb76dd3b96812b311aa8f83eef99eb8362b1965

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.173785Z digest=sha256:e2aca2a03d06ffbf838df51b31df7dacf8c08814e6e3b90cb4b262859daca553

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.177643Z digest=sha256:75ef93bcd45d1ae2cb0a76dcc2974b53a527e8cbe335a1a987a4e3260511acd1

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.181071Z digest=sha256:64d951139ab04e2d3ba62dfbd4d5f6b8b8b497189700d138fc9ac549e75c91ff

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.184782Z digest=sha256:c0d03c5ef03f84ef520a21efc017eb408ffb0b3a511eb4e4a7357ec93961cb29

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.188773Z digest=sha256:897a0e6c08b28131dd3a12680f4a9bc09ca636e02efe980ada7b6c1b0f5091ee

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.192775Z digest=sha256:569181e606d61eb0920856cb08269cb6daa0d731d8f61afe94c24ca5fcc89613

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.196534Z digest=sha256:2bf7063f4121a74b57d45d53fa42851b5ae228f1f61cb16645b60c97356a3603

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.200359Z digest=sha256:c38f16d5c5935da7598b95e8eeb2d2d0bbb57964e816d17781205106025a5ccf

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.204300Z digest=sha256:223c04bb9bd4774e12ee06f65742ce266c5f434a77302e8f890d5cd8e60eea6d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.208338Z digest=sha256:65dec4e8eebadced079d41055650b9792befb62190f11abada5d4cf3825415e0

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.211953Z digest=sha256:a4f4c3f6644f580977e99b92e8b96e72c9bf69119d0ab5244151453d28440d69

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.215553Z digest=sha256:93f280b21715f563f639690f37fe55f0d42243a2f6c8744c4ea1ae1ade89867c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.219447Z digest=sha256:400ddaa147f6190bb5a344a09ea8fdd16b9afe9273a6bdb059748bf30c51d141

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.223204Z digest=sha256:b715d34a4baef2246b941349af24dde74d1dfa3d8890cf026792ecafa1d3f932

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.226984Z digest=sha256:bf1dcbb1be83059fd345e857604041eae8c2f12ede08a97fa47fafba771447c2

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.230796Z digest=sha256:afe8c152a2d7dedb744ba3ba4d16831ca99df50cbf881383c41c4ed651b49546

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.234519Z digest=sha256:3f9358bb402a396b10403cfde548984aee7e50f5c710727f7ebae1a13456d310

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:26:15.238825Z digest=sha256:c4d7954416868b9b76da8bbf5d9bb4f9cf52095bb2ce3195d0c819d5046e2974

Pith citing papers

No inbound Pith citation observations are available.