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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.

source=pdf_text observed=2026-08-14T11:26:15.102077Z digest=sha256:e3ba3d0764e1edd8a2e3d62346b350d48ab5aadf8cdb47d1d190a7c782b148ed

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:f8ab572e2d2fed0863ec9dfb55d39bee1b360934a0b4d04215eab4ffd65a8844

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=sha256:5f7b1ca23a3dd57365b8898e82adbbe14e1fdc7bd4ead6e0a791aadbed56306b

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=sha256:1cf243d579a98cf3082cad95040f734fc753df343a469f2a0211f55db361be84

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=sha256:2aca71f5bc091be21a07d62bf4ccd30157e93172a5cd0113bb9c61285151fc05

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=sha256:16f02a87ef5a5b3c28cfe3f06f508bf9aa40532e9ad5101ae8f33fe8f758ce5b

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:f4175d76d6838578ea32e7d965d3f082e95abc24c84f4f3700143691648f7607

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:e69b50664ac28fbad371c42caf2140d139cfb86cf4c3806c9fb1575a598cf60d

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=sha256:8a812d98944bfa352e763602789182195661b2263bf6a8b2998a52dce4c2011f

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:b399185dfcbea2ce443bab30f77a568c8344c1ccb2d581df615857a0e30ce38c

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:d890833c7ae4a45cfc23ef86ad6755e125b4e36d603e1b0c90431ae8a2126439

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=sha256:8dbde701d22598f12edd3bcab09f220d106417c8b5b1efbbee35a74aab04d624

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=sha256:7e25315758bb37191f2fafb5e13bf22bd5bf3a6b610086c6a1d71f85dc3d3c94

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:f35c2a64c09afc3211b80a23916ab7f8f8ec041387637d7e2796b4ee33145720

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:e4addae26d11d10226c8189f47210ea518552f59c78027f3e0eab4300723834a

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=sha256:6535ca4be8cec98a0b56e7a782d4628093f14fcfa3c99a14c86f0fdc1918eae1

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=sha256:600d4cad7575cba17aa15e45a7315c6789ace643b5a118570ab32b573a1c1a02

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=sha256:18cb6fab1d0878526e25d09907629f854023cefe850b5d954cda8fce0d3a8490

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=sha256:674baf09267a2e51dd0dc7f6090f707aba447615f33bfb70cbb61df22c707fee

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=sha256:1948c7001a375a1a2a04fad6851853e60ad3282f37dd676c7648bef0c9e9ab41

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=sha256:253ec1d1b3b9eba566ccb27689ff244815e34e01ed05dbcb0aff0778511595ce

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=sha256:04c43bfb74aa979f199b52dc987e499beab9243799a541ecadf5cba23bedac8e

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=sha256:4549534211f155f78e9ce36ddbdcc88bea099b61c19e26d424983c81de638e90

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=sha256:0c277b5a3764e056011fe08e5481e925806a3efa291f67c2e4f720484492401d

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=sha256:7d86e79a82506dbe972d5b307b066a4e135e143483d29fa95554a61624514385

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:b268f4fc810fbfdaa5540ddc3601f85fe831b5be16416348d63181c6443d32c6

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=sha256:8cf568ceee554c68a7f590d01c9f80202adf47c51bcdbda7c86a304aa6509bdf

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=sha256:014d1e0be04a33a880e2a9b91f3d53dc8d9dd6cee2fb14f917626601f9fadb71

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=sha256:527bd1794784d5e0831c216c71c94be40c0d71e2b4a115c4c0ab0fe2558fa347

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=sha256:76477c3c0bc99a64b591beb81e0acf17397acf4d7cdbac9c6b4e7267a4a8e619

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:a27824f1486a6cdbfd34d3395c7ce6cceaf094e246f4dc4411225f7e53ec50f2

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=sha256:4cf5713e9c041b8f7572b672a8fd4ff1e91e0873ad35736e75844be4b5a9c958

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=sha256:18b5f3c33b534b6aa712e8cc5f30018bcac248282d01bcfb4aa8768bd9c3031b

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:d618e6a7676536c7044f437e55a21ff48e394aee56ce8a9bae60348c1bbca649

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=sha256:187ecc5e259de24151f9d114d5541aee525deabb330dcc9b7dd264c4ef1595d2

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=sha256:5093f6b2abc141843c75726c158b5659e6b9325eac41a8c7c433229580030a57

Pith citing papers

No inbound Pith citation observations are available.