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Paper Citation Record · LEDGER

On the universal commuting dilation constant

As of 21 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2606.12506.

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

pith.paper-citation-record.v1
2606.12506 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T08:02:49.880373Z

measured 28 of 28 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

28 of 28 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved25
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3defe646-7be0-4e6b-97bb-eb00e877b5b8 · outbound

This paper cites 44, American Mathematical Soc., 2002.

On the universal commuting dilation constant 44, American Mathematical Soc., 2002

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:11ff5ec4f17ea67f911b4d3e3aa843a71e7890dd634d81d962cf42e8f90e5895

Observation 5867f1ae-2db1-4b68-ab24-4a1e0bad48fc · outbound

This paper cites 3, 811–833.

On the universal commuting dilation constant 3, 811–833

Reference 2

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no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:578159c2180848f5c3b2856153a57e9e33cf2b5d66f8d9937f758eca44eb2481

Observation 34b68f66-4fe4-409e-a09d-79f605eb6169 · outbound

This paper cites an unresolved cited work.

On the universal commuting dilation constant Unresolved cited work

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-03T13:28:18.939264Z

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=2026-06-27T08:02:49.880373Z digest=sha256:4b8b608eabc4a0fa083cc8500d8df5bddb43e47d5223e59d0acb8e281cfe5dce

Observation 1f9e40f9-4860-489e-abf4-1aa80537ef8d · outbound

This paper cites 3, 1125–1198.

On the universal commuting dilation constant 3, 1125–1198

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:8f26f511ed3173dc567e6214901e32d7b55cfca813af4fd88eb66d00cc924532

Observation b57e9773-3022-40c7-8cea-dea47764d2f6 · outbound

This paper cites an unresolved cited work.

On the universal commuting dilation constant Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:396246b39c89f2ae7d789b4e9e625cf215485aee0382b1be8ec7ff696a30c2fb

Observation ef171945-4130-45ea-99c4-474c727f1f63 · outbound

This paper cites 2, 255–296.

On the universal commuting dilation constant 2, 255–296

Reference 6

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no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:dab41759a275f22fdbe5289d4332b6a4f9f299c677ffb5d53ef1d7d424d29803

Observation 15d848fc-3971-4c6a-a045-6bd3d96595cb · outbound

This paper cites an unresolved cited work.

On the universal commuting dilation constant Unresolved cited work

Reference 7

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:3e6ef62e5b7ff958d32508243f534d2f275f43abc9736eea83725dd1841fc133

Observation c8cc0edd-25a5-4d63-8d64-4f1a36ede84a · outbound

This paper cites 88, American Mathematical Soc., 2008.

On the universal commuting dilation constant 88, American Mathematical Soc., 2008

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:73e9783529f6fa219b91238bc9e463013a89d043b1cd7967881f5c2aaa8777ca

Observation 8efc1961-bcaf-4690-8b78-5eb96afb32b7 · outbound

This paper cites an unresolved cited work.

On the universal commuting dilation constant Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:dd3fd54ece9e1bb489cb100677580f7d3c51055465a97680ad6f75b984186325

Observation d08d4c39-dfe3-4f37-92a6-a5616f54d295 · outbound

This paper cites an unresolved cited work.

On the universal commuting dilation constant Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:8c7af62733d2444e5c4aa37bb85b01954d0e074f3c044e9449fc52537a5deb39

Observation f2bba408-68e3-4990-812a-1b5dc31051f6 · outbound

This paper cites 13, 4069–4130.

On the universal commuting dilation constant 13, 4069–4130

Reference 11

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unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:edbed8f315ab72468eab1bf5c1e0e9a2ec0fb5ea53c9e9d65a5438b0d726ae55

Observation 38d6e52a-86d7-4ce5-b618-ba91ff201e4b · outbound

This paper cites an unresolved cited work.

On the universal commuting dilation constant Unresolved cited work

Reference 12

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no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:519fd836f902edd5e853edb97ae05c46efa21557dfba06303cea2ee412d1cf59

Observation cf9e7e54-f909-485a-b470-2b4d04df2b76 · outbound

This paper cites 1, 556–574.

On the universal commuting dilation constant 1, 556–574

Reference 13

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:07c16e426d807734f8beec9d18a9507d00a17504856f3052fadc44ade18f7ad3

Observation dc66a752-3517-41f4-a57f-c96c991a1e16 · outbound

This paper cites 1, 63–88.

On the universal commuting dilation constant 1, 63–88

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:36df66c72b11d3585cb930a99b2b56462c05528058ec2eb6d39ccbf09e981b78

Observation c299d1d4-f168-4415-abe1-b9f1a1c500ec · outbound

This paper cites 5, 2053–2081.

On the universal commuting dilation constant 5, 2053–2081

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:11858ada2558a749576807aa43842843b8fbe57fb4f81bf46694833e5bb76553

Observation 9c86c796-4435-4f56-82a0-67c9a507e266 · outbound

This paper cites an unresolved cited work.

On the universal commuting dilation constant Unresolved cited work

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-07-03T13:28:18.942087Z

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=2026-06-27T08:02:49.880373Z digest=sha256:1e4926a18196a9c238a27f577511ceaeb178c7af8449d093b71f6003fdf6186f

Observation 84215313-2012-4c34-a179-e8f1abf795f9 · outbound

This paper cites Dilation distance and the stability of ergodic commutation relations.

On the universal commuting dilation constant Dilation distance and the stability of ergodic commutation relations

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-07-03T13:28:18.936507Z

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=2026-06-27T08:02:49.880373Z digest=sha256:dd42510f06bc5b8fe3ba3c5c5322ea9232a2dd1561b2645df23d599dc8d9aac5

Observation e8486893-169e-4bb2-9985-2ed7b87723b3 · outbound

This paper cites 257, American Mathematical Society, 2019.

On the universal commuting dilation constant 257, American Mathematical Society, 2019

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:85d28ffcabd82c0a3ea1e3d2de823a4c560b5250b0f7cdb66b7d06ae1965006c

Observation 262b3376-ff93-4fcf-9071-4a64e59af82a · outbound

This paper cites an unresolved cited work.

On the universal commuting dilation constant Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:d3d086a8b93679ab3ce55754adc7fbfdebef42914a50c13038def0155a45abd1

Observation a24da1b2-8ad4-472a-97c8-97d1218bc7f1 · outbound

This paper cites 158, 1–28.

On the universal commuting dilation constant 158, 1–28

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:bd6aa59886dfa04a238d5703418559e4372a251e070c0fc30a596c4aae4bbcf1

Observation 94788da6-bb1a-4fd4-94cc-b11850cf3aff · outbound

This paper cites an unresolved cited work.

On the universal commuting dilation constant Unresolved cited work

Reference 21

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no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:6042fa276d22c612d2c2932c1e505ccef9adcbeb71bf251fc623387e6e6078e7

Observation cb513849-52ec-4b5b-b55d-1e02a85196f6 · outbound

This paper cites 2, 1451–1484.

On the universal commuting dilation constant 2, 1451–1484

Reference 22

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no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:f706ed242876a3c526bc4def36975b83cfec48a0dd5506ba3f46c1b38185c827

Observation 901b1ce8-7d41-4f95-8b47-684ed8de23b1 · outbound

This paper cites 11, 3197–3253.

On the universal commuting dilation constant 11, 3197–3253

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:b94692b1ba1731eddd970d190ea29d94f1b801113ac54ad35dc3b2a7debd2f92

Observation 2e0ee9d7-dfb6-4cbc-9280-50d799e8674d · outbound

This paper cites an unresolved cited work.

On the universal commuting dilation constant Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:d04182b6d83ca84e3a3597b49f2d6890e9f31193db5bdaf78c53ae367f7145c4

Observation 48247250-1548-4be1-b06a-dc274e824207 · outbound

This paper cites an unresolved cited work.

On the universal commuting dilation constant Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:c9b7578839aa701bccd90c07dcf6833f666d2fc8ba644a0aa2f5359cc687aed5

Observation a2161aaf-efbd-45ee-b9c8-613ebf723b2a · outbound

This paper cites 2, 211–216.

On the universal commuting dilation constant 2, 211–216

Reference 26

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no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:170e5e33350afc4331adba3a47d1ea9fbb7713f4c69be391f7cabc0ee62543ef

Observation ed312e6d-cff2-4899-8373-353ef7793c89 · outbound

This paper cites an unresolved cited work.

On the universal commuting dilation constant Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:fafaf34f9031bc0342c506bb8f2172d08365722b0072652e5fbb7b428ffbd431

Observation 78de8360-9d43-469e-9f40-35bee7f7b08e · outbound

This paper cites Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark Email address:ian@math.ku.dk.

On the universal commuting dilation constant Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark Email address:ian@math.ku.dk

Reference 28

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no resolver link, observed 2026-06-27T08:02:49.880373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:84fa9e47bb70d0d3ed02b53dfa569878f6ee53d1a4d938f53ea21b5e09b32e15

Pith citing papers

No inbound Pith citation observations are available.