Pith. sign in

Paper Citation Record · LEDGER

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound

As of 13 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2608.06235.

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

pith.paper-citation-record.v1
2608.06235 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:05:35.989225Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dd57f64e-e08f-46c5-84a2-cbaeb937584a · outbound

This paper cites Szarek, and Andreas Winter.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Szarek, and Andreas Winter

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:38.348776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T12:05:34.256896Z digest=sha256:123b71c783547126482ff41cfc0a3b330ef8a934dfc76011c4c916337f83738c

Observation a8fa26ea-f81e-46a3-b8c3-34fda339cf37 · outbound

This paper cites an unresolved cited work.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:05:38.250807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T12:05:34.297774Z digest=sha256:85ed5362da377028f4baa191ebb7dc8dadfbdd3d89801c03c9d98512db57eb1d

Observation 0f8a7a1a-93e3-48b4-b100-c406727e354c · outbound

This paper cites Some properties of crossings and partitions.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Some properties of crossings and partitions

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:38.131154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T12:05:34.350747Z digest=sha256:9efa02f41e86517f7058cce654381958f318548939a522e17394e3b08a66ce65

Observation 88c48df4-0412-4e63-ba97-b33af40a79d3 · outbound

This paper cites an unresolved cited work.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:34.413901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:05:34.413901Z digest=sha256:bc17aa0b7240befa99b5939c05b79dbf7f181e5493748562b4d057af640ce25f

Observation 5489053a-da95-4e53-877e-78534dff01c8 · outbound

This paper cites Moments and cumulants of polynomial random variables on unitary groups, the Itzykson--Zuber integral, and free probability.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Moments and cumulants of polynomial random variables on unitary groups, the Itzykson--Zuber integral, and free probability

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:34.503235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:05:34.503235Z digest=sha256:27ebade8eb87383b7b70430c0423b704586234927b97e98545ba292e8a59e3e1

Observation 8b9bcfeb-742d-4889-b614-2003a80d2beb · outbound

This paper cites Integration with respect to the Haar measure on unitary, orthogonal and symplectic group.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Integration with respect to the Haar measure on unitary, orthogonal and symplectic group

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:34.540044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:05:34.540044Z digest=sha256:146b71e59705025454bb744e99818f2303d2dccc543a995ca55be133b51ebe16

Observation 9e44e824-74c3-483a-b172-bde1891f1eea · outbound

This paper cites DiVincenzo, Debbie W.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound DiVincenzo, Debbie W

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:34.663165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:05:34.663165Z digest=sha256:f4dc71a5cc55cdb03539aed326314d56aa6b0ff5d56d075ee97753889b3ba18c

Observation 463eb724-b3f1-4a2f-97c3-c819ab205e0b · outbound

This paper cites The Grothendieck inequality for bilinear forms on C^* -algebras.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound The Grothendieck inequality for bilinear forms on C^* -algebras

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:37.970434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T12:05:34.743055Z digest=sha256:cccf02e8437c35c68b8bf007b22cf7ea06523c714445423db0b7561e8fa18b64

Observation 2a7efcf2-2a8a-4256-92fd-46b837cdd355 · outbound

This paper cites Grothendieck type norms for bilinear forms on C^* -algebras.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Grothendieck type norms for bilinear forms on C^* -algebras

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:37.756438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T12:05:34.825647Z digest=sha256:836b3f7c3e7c45ed6634cff1e96dbf0f9f6d60f5a2ce01f5b4467841f7c3d85e

Observation 3aa42c19-8a6c-4002-8eda-2f2f7cce2506 · outbound

This paper cites On the best constants in noncommutative Khintchine -type inequalities.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound On the best constants in noncommutative Khintchine -type inequalities

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:34.920969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:05:34.920969Z digest=sha256:f0227b7d2408e4ad30856b56b2e75f8584e7e56ebc8da214bdfc5f074721010e

Observation c896ac4a-bf59-4ea4-a53c-5aec438b70d3 · outbound

This paper cites A Unified Framework for Locally Stable Phases.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound A Unified Framework for Locally Stable Phases

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:34.968235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:05:34.968235Z digest=sha256:c6f06b9536b3c8a943f199514f6de45416a6cf994cd25bcb7231cce506312a89

Observation 047b3b06-7e88-4439-b799-05d55b40df99 · outbound

This paper cites In \'e galit \'e s de Khintchine dans C_p (1<p< ).

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound In \'e galit \'e s de Khintchine dans C_p (1<p< )

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:35.030845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:05:35.030845Z digest=sha256:e00f862bbb8335717128e6c8cdac6738bf06c04e95f6fbfe698c20250eecf6ec

Observation b281f255-8ece-4ea5-a2f5-60856ef02000 · outbound

This paper cites Non-commutative Khintchine and Paley inequalities.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Non-commutative Khintchine and Paley inequalities

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:37.611306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T12:05:35.106301Z digest=sha256:a273f2ad4faa0eeea41a9f23d5950f52601cc84dbea18af7abcda2ef2d1c5643

Observation 177a449f-cf88-42ad-a28c-288571ebb5c3 · outbound

This paper cites Ultimate data hiding in quantum mechanics and beyond.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Ultimate data hiding in quantum mechanics and beyond

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:35.192867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:05:35.192867Z digest=sha256:021e06351088d893c1c105f544f38525d0de1cef9cdac8288be35678c651b3a4

Observation 2d75eb9b-213d-4fe3-861d-9d36d52a35e8 · outbound

This paper cites Lean formalization for `` Global vs.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Lean formalization for `` Global vs

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:37.466241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T12:05:35.246799Z digest=sha256:2ce715e739c25ddf9bd9c31defef752a6a70181f732512b8ae40299ece4104e8

Observation 70fc336d-cfed-4859-a2f0-4e9a21d6d943 · outbound

This paper cites Marchenko and Leonid A.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Marchenko and Leonid A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:37.342883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T12:05:35.390508Z digest=sha256:0ac788532eed5ca3a49f7a4d2493594c3e73666f38c6738a0f08385b8bd06ccd

Observation 52fa33b7-3e13-488a-9bd2-003288e78932 · outbound

This paper cites Mingo and Roland Speicher.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Mingo and Roland Speicher

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:37.083981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T12:05:35.467313Z digest=sha256:1860a5f97fbebeff001113c5800c5d1a535e0a72d9c64239352bd1d2f395e865

Observation 4aefdce4-037a-4ed5-84d8-4c0b406b0fc9 · outbound

This paper cites Distinguishability of quantum states under restricted families of measurements with an application to quantum data hiding.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Distinguishability of quantum states under restricted families of measurements with an application to quantum data hiding

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:35.552664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:05:35.552664Z digest=sha256:895b5ef344f465d70d2c01bbf2e6ea6f19c180a054685e7d3f33df3b06e97c2b

Observation b0dd2c5d-4597-4475-b578-bef65ac5c0fb · outbound

This paper cites Grothendieck 's theorem for noncommutative C^* -algebras, with an appendix on Grothendieck 's constants.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Grothendieck 's theorem for noncommutative C^* -algebras, with an appendix on Grothendieck 's constants

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:36.838477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T12:05:35.639223Z digest=sha256:d68bd50866e7df3d3aee4397f4c813b34a27e5d45c87954fb379dd4d03de8b94

Observation 23d71990-87db-4269-8839-8332989321a0 · outbound

This paper cites Introduction to Operator Space Theory , volume 294 of London Mathematical Society Lecture Note Series.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Introduction to Operator Space Theory , volume 294 of London Mathematical Society Lecture Note Series

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:35.750396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:05:35.750396Z digest=sha256:875063c7b02f1287b10bf4399be4432c4c3ac5c45743ab03c4975812164b8747

Observation 66e4148a-f4be-4a36-904d-07e2513253d9 · outbound

This paper cites Grothendieck 's theorem, past and present.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Grothendieck 's theorem, past and present

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:36.554761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T12:05:35.816300Z digest=sha256:d05a6791451f17c9f7686ad4ad811cd4dddecb16bd2ebcea110a6443f5dc19fe

Observation 6e81f19e-c9ae-4d4e-be4d-d0575d7fa77c · outbound

This paper cites Quantum XOR games.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Quantum XOR games

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:05:36.318717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T12:05:35.881886Z digest=sha256:52d9c4cc19211811898200f86491b6f8504106488d189a9142e4034bfe52d89f

Observation 31ba2806-6c60-4cf1-839a-4c6a77f1d9ce · outbound

This paper cites Terhal, David P.

Global vs. Product Observables in Bipartite Quantum Systems: The Sharp Bound Terhal, David P

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T12:05:35.989225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:05:35.989225Z digest=sha256:298647a224dd27ed63773d66b1e2b08184c96d6d64fa6f1fd2919efc687c2bae

Pith citing papers

No inbound Pith citation observations are available.