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Paper Citation Record · LEDGER

On the universal commuting dilation constant

As of 10 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 2026-08-10T06:31:04.303077+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=sha256:0c9e29c3497c1757472db85994d50a3e17f5d6a4852a009fc1dea4d99bb469ac

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=sha256:7185a7668d48e2b6e601b7746b8ebf74e66a036096ee6770f81317c1818303e9

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:42a4c4241174b85b505f6297581f545d28cbd0abac564672410f49be6f82aa8b

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=sha256:2f0c36bae54ac3f0734e3eee7f6c8e1c98b8d5056ae0340fbfde9c7f326f4bd8

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=sha256:43e3a36e74986605775362753d4e3a64d0cf42b70b454a7e8f33a78a46d9dc0d

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:cdf412a54c6e9a4f511eb9b323d0f4f745775f8a28e12b65ccc21ea81a359307

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=sha256:16638789cd54c9b0baf9eb518cca44332a02c5458402846f4461f2dcb62095b1

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

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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:c9af7be140394ac7db6d935269f202e1100688202593ea5244e8c5c2f58f38b5

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=sha256:0529f949ac67268bda3e9b591c3743f4d1087c1e98fb98a96dcb31c1148c9209

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
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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=sha256:8b1f7352ce5a59ef6378dad953104892f6452210f39f8df21b4050b3b6970db9

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

This paper cites 13, 4069–4130.

On the universal commuting dilation constant 13, 4069–4130

Reference 11

Resolution
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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=sha256:0e16cce7122b9529a3111a471b3ce3e4a90bca55ebd436bb98cd83bf4a910483

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

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:e547a9d1f723e27d67a9ce8a0c26e517361b8ec3d7e0c813e7142ff8057a8559

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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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:dc53e3e274ac1b2a1c2db37db9a8b5afa81f1a4b57243a724164222bbefa96dc

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=sha256:80f9ed13ce0984c9ef457c983c90bfe221bd90080a980615448306cb5bd27eb6

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=sha256:06fff908736f2c6dca00ed51b06c1715beb1a60dfdb5de7a8b838ee9a87fac26

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:8292a0052b0d05c39b7bb7c360b6e4e62cbf838ec7feda2db94d74be7c597ba4

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:f1c8496d395919c013403b50deb0e455ac7170cf03969bad583ccc06ad2f9259

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:e3ea41a1d96c392f9b0dc38bc977a309935aa75f3b20b90648022ce2fa5326db

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:e805dabffefbcf70cae5d715c991ac2ca77f5691e4ac2e0312e8de2785861eda

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:d976c880ff33cdae54e08169248fec2c553b78591dfc026f1e75bc785f58cfc0

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

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=sha256:7a5d8c84fe5b0a358d9bba49193ce47abfb03a2b5a773f192dca7c049c8b2b87

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

This paper cites 2, 1451–1484.

On the universal commuting dilation constant 2, 1451–1484

Reference 22

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:c121f75877540f64d801370b80f621512a7c5d61379152635f20357714c76557

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

This paper cites 11, 3197–3253.

On the universal commuting dilation constant 11, 3197–3253

Reference 23

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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=sha256:690b5bd3fdb7f45de3fd166d23bcf3cdec310b96f55298e7ad9a38d0419c49ef

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:b63766ef135461991120cb97cea7e162f64e10326f6bd322529d3250f194c3cd

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

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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:ab7d2f1ba403e9a5e2e2feb223e462c416704d048558806d6fafe746585bf2c4

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:02:49.880373Z digest=sha256:16cb4ec2d60433798e18ae5182572ddfd53fb8df30d836f810bc5d7eb636ef32

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

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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=sha256:4882427f2598278ac9484394f77e9bb517064047133dda0bdfd0eed64db6e79f

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=sha256:843175e07e295bcacd5ebaec1f8ea17d67f2a67bb3d83598041f3c78a3d6cea2

Pith citing papers

No inbound Pith citation observations are available.