Pith. sign in

Paper Citation Record · LEDGER

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements

As of 15 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2412.20795.

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

pith.paper-citation-record.v1
2412.20795 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:22:49.244588Z

measured 31 of 31 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

31 of 31 outbound references displayed

  • verified exact2
  • verified fuzzy13
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c286400b-4833-489a-aa08-0937200b6480 · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.756690Z

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.

source=pdf_text observed=2026-08-10T23:22:49.099605Z digest=sha256:47b70c4e30c05859536f1de7d6edb0486a5712968c070d4c4d28110acf2d7952

Observation fcdaf281-ee5e-4798-8fb4-8afecbbd013b · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.740602Z

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.

source=pdf_text observed=2026-08-10T23:22:49.105085Z digest=sha256:e26e96bdb8c86c1b2d3cf191e27d01d3b6aacfcd083b5ebc8a15182a6ccdcce7

Observation 41b50b8a-9892-489d-9891-22871a929f85 · outbound

This paper cites , Michigan Mathematical Journal 21 (1975), no.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements , Michigan Mathematical Journal 21 (1975), no

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:22:49.724393Z

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.

source=pdf_text observed=2026-08-10T23:22:49.109970Z digest=sha256:b0eddc4aeb1f0a8cc88197b96396d5700fcc525362f1c798862ff2f7357f54d5

Observation 7cf7ce29-f7ed-4724-bcdd-aeddfce8e6e8 · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.709336Z

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.

source=pdf_text observed=2026-08-10T23:22:49.114778Z digest=sha256:ec055ba79582cd81eacc62b1d9a35ee2ae072348b4c62436822e9ba71c58d2a6

Observation 7cfd113c-cd0e-48ea-84c0-31e280705dfd · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.692327Z

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.

source=pdf_text observed=2026-08-10T23:22:49.120090Z digest=sha256:abf1137c33617ce6d1b70620bc74bdcbcd41c5a1ae602807f88a7dafa147f090

Observation 1d4f9447-d2d4-4104-8bb1-915bf1438d2a · outbound

This paper cites symmetry groups.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements symmetry groups

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:22:49.677461Z

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.

source=pdf_text observed=2026-08-10T23:22:49.125313Z digest=sha256:54d8265271c6b94ce96c0a078d78348829785d56f2cb7142fbfa757a4e38b8a6

Observation 9e8eba06-36a3-45b7-8735-8bcfff028ead · outbound

This paper cites 2, 222–240.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements 2, 222–240

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:22:49.662858Z

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.

source=pdf_text observed=2026-08-10T23:22:49.130796Z digest=sha256:5c924b04c12bdab01fa63e0df3ed9e5bc0f79bb4096035e0dd6bca206c57a854

Observation a3386fd3-fb5c-4628-a490-73709ac3b82d · outbound

This paper cites iii , SIAM Journal on Numerical Analysis 7 (1970), no.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements iii , SIAM Journal on Numerical Analysis 7 (1970), no

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:22:49.647457Z

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.

source=pdf_text observed=2026-08-10T23:22:49.135536Z digest=sha256:5091a1e3ba80b269f1cafa9f971bc4d5df41e6f8d12a263ab9d0548d6857e066

Observation 99b31ac7-249c-46aa-bcf5-f18d67957cd5 · outbound

This paper cites 4, 913–915.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements 4, 913–915

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:22:49.631724Z

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.

source=pdf_text observed=2026-08-10T23:22:49.140383Z digest=sha256:e4e40b697dd0ff9ca2fa581256db38f678f2f2522abd12285effd60b7eaa6675

Observation 7f193656-4e59-4b8c-8437-1fec9127a2e1 · outbound

This paper cites 10, 2902–2932.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements 10, 2902–2932

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:22:49.616667Z

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.

source=pdf_text observed=2026-08-10T23:22:49.145108Z digest=sha256:622047039ea1e496f4eb501a95c88d09505a9f03a26a4713d1f0104e53255505

Observation d70a0880-08f8-45bb-baa9-614869fa3e9e · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.601645Z

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.

source=pdf_text observed=2026-08-10T23:22:49.149921Z digest=sha256:c96390f61128714f09e4f1cb36bfde61d40f581a580512feb1038cef45f7b571

Observation 93c9f494-e9d6-4b84-864f-45485e21cf44 · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.584370Z

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.

source=pdf_text observed=2026-08-10T23:22:49.154642Z digest=sha256:8ee96372bf325cb0f98c578d80ccda0e09530b488bffc82f26c83778f03d3f44

Observation cdf3f0ce-4b8a-4a66-9701-feb074badb2e · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.569719Z

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.

source=pdf_text observed=2026-08-10T23:22:49.159357Z digest=sha256:096cb24d1d327e41867d3d629299d08b4e2861250d0ea9b408bfc4080588b689

Observation 13395e76-af5a-4dd0-ba4f-2acd92523bb5 · outbound

This paper cites 2, 321–345.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements 2, 321–345

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:22:49.556631Z

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.

source=pdf_text observed=2026-08-10T23:22:49.163898Z digest=sha256:355c4eff92d00f2eca5d13934029f7bf18ea40e82112741455f7d91de31261d8

Observation fee6ee32-9aec-4f18-84c5-f3ee4af60670 · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.542941Z

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.

source=pdf_text observed=2026-08-10T23:22:49.168314Z digest=sha256:89eb8a6ae7adf60d6936a2c43ee5b506b28f729ca9e2113016f0ba481b5080d1

Observation 2e368ea9-fb09-4092-8049-31fb5a4de2da · outbound

This paper cites On Hastings' approach to Lin's Theorem for Almost Commuting Matrices.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements On Hastings' approach to Lin's Theorem for Almost Commuting Matrices

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:22:49.317023Z

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.

source=pdf_text observed=2026-08-10T23:22:49.172693Z digest=sha256:967e311ed62bd097042440c8a2f70656526c2bc9b733aa8dfc5d1a82bcfe84d9

Observation a1d87593-cec8-4067-91be-f3f832d7543f · outbound

This paper cites Constructing Nearby Commuting Matrices for Reducible Representations of $su(2)$ with an Application to Ogata's Theorem.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Constructing Nearby Commuting Matrices for Reducible Representations of $su(2)$ with an Application to Ogata's Theorem

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:22:49.293223Z

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.

source=pdf_text observed=2026-08-10T23:22:49.177982Z digest=sha256:363392a8ef9c65617b71b40f43320f90c9c9f8802c264d8338b22c7373bb0a2f

Observation 5b6934cf-8783-48da-a921-5d3aa314af70 · outbound

This paper cites 1, 61–80.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements 1, 61–80

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:22:49.528374Z

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.

source=pdf_text observed=2026-08-10T23:22:49.182977Z digest=sha256:c24396609b36573b4d27103d1ad1cda569d9aafce1428773bb066c9b049c1292

Observation b35fd84a-ecce-4eb5-8c6d-b53a90082891 · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.514077Z

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.

source=pdf_text observed=2026-08-10T23:22:49.187408Z digest=sha256:7adfbda5be6a5785e0f85cc731d663c2b1b6c7985ce7e3ce3028ae8bb0796ecc

Observation aaf13adf-f691-4eea-a3f1-f37497ed1b39 · outbound

This paper cites Symmetry, Integrability and Geometry: Methods and Applic ations 10 (2014), 077.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Symmetry, Integrability and Geometry: Methods and Applic ations 10 (2014), 077

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:22:49.499149Z

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.

source=pdf_text observed=2026-08-10T23:22:49.191489Z digest=sha256:a272b00b2c02a82413af2cc24039f05a8218a5188c8939a26c351b986765a307

Observation e9e56d33-86bb-4ebc-8380-0c78795115ba · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.483964Z

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.

source=pdf_text observed=2026-08-10T23:22:49.196762Z digest=sha256:f9d2d885599d9767d33af896519aadde0e4129425aa39415a58dd881fae42900

Observation ec6c97e4-8506-4c38-9e69-f7ff34960aa4 · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.469639Z

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.

source=pdf_text observed=2026-08-10T23:22:49.201305Z digest=sha256:79e18a098b2e3b560b65450b18d4df82d27228bbaa743bca1b4d2abe496730f3

Observation 8be5ab51-68f3-4d16-938d-7bbf23d16256 · outbound

This paper cites 2, 1051–1068.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements 2, 1051–1068

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:22:49.453162Z

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.

source=pdf_text observed=2026-08-10T23:22:49.205714Z digest=sha256:709a21038283aa8752e235884821d99d30fdbdc3a1515f7eeda18379924026b3

Observation 0f772732-6fe6-46b4-b354-721e26fcbb54 · outbound

This paper cites 07, 1650017.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements 07, 1650017

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:22:49.438496Z

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.

source=pdf_text observed=2026-08-10T23:22:49.210345Z digest=sha256:173e0c22ebf8aaaab540b29c7c0b26c0e9d3a49bd858921c4969e8681ca6b386

Observation 53bfbf0f-f828-4fce-ab62-6baa3b5a464d · outbound

This paper cites 9, 2005–2033.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements 9, 2005–2033

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:22:49.424128Z

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.

source=pdf_text observed=2026-08-10T23:22:49.215721Z digest=sha256:db7fdfa448759f1c010b521553eeed3d2f66a6dd0236dc532e7d2759aec55d71

Observation 4ec7ae28-d959-4f45-846e-3e5906c0cb80 · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.409293Z

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.

source=pdf_text observed=2026-08-10T23:22:49.220286Z digest=sha256:59d610fe0e4f76e6d4c1622882f231f712f73f68fc93250ac602de3cff7963f8

Observation 38d8597e-04b1-445f-a807-288a57863d18 · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.394991Z

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.

source=pdf_text observed=2026-08-10T23:22:49.224895Z digest=sha256:e1e0e08cc072c5583d4ac5d31728dfd2c03ee9ddf08b2baf259c16582f27791a

Observation 56b5cd5e-bd97-4ec0-9399-d5584fc9983c · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.380320Z

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.

source=pdf_text observed=2026-08-10T23:22:49.229794Z digest=sha256:2b9b055959fbbf5e0df9284236566011cc2de1098e8e4b8c2d97d12fd9150d04

Observation 3955887f-2ee3-40a9-be94-b06a9e767779 · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.364153Z

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.

source=pdf_text observed=2026-08-10T23:22:49.234684Z digest=sha256:45a801c54feae481950af2b24fb99007087dbcde1e9eeb6d64223e4105ec811b

Observation 3d36e546-d96a-4c0d-81cd-6a6f5eb258eb · outbound

This paper cites an unresolved cited work.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:22:49.349132Z

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.

source=pdf_text observed=2026-08-10T23:22:49.239642Z digest=sha256:dff228c344daf35afd3258893f2feb15017eec4f5ece806b8c2450b2f433c42b

Observation a5b7bb93-b4de-4813-95cf-92bd9443d3f5 · outbound

This paper cites Math.(Szeged) 45 (1983), no.

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements Math.(Szeged) 45 (1983), no

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:22:49.332772Z

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.

source=pdf_text observed=2026-08-10T23:22:49.244588Z digest=sha256:84182be0726715f358a1ba57c04eb5d7e55580b9e9f6ac467f6915f1dcac0227

Pith citing papers

No inbound Pith citation observations are available.