Paper Citation Record · LEDGER

Spectrum Estimation is Almost as Hard as Tomography

As of 8 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 1 inbound Pith citation observation for arXiv:2607.29680.

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

pith.paper-citation-record.v1
2607.29680 v1

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T02:13:28.726606Z

measured 61 of 61 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T04:04:18.226989Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

60 of 60 outbound references displayed

verified exact0
verified fuzzy0
unresolved59
parse uncertain1
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7acfe0ed-8091-404c-9226-394342aa2202 · outbound

This paper cites arXiv preprint arXiv:2511.15806 , year=.

Spectrum Estimation is Almost as Hard as Tomography arXiv preprint arXiv:2511.15806 , year=

Reference 1

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Unavailable: canonical work link unavailable.

Observation f560fff2-cfd5-4963-b2c1-030ad38d9121 · outbound

This paper cites The American Mathematical Monthly , volume=.

Spectrum Estimation is Almost as Hard as Tomography The American Mathematical Monthly , volume=

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:23.468383Z

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Observation af5000bb-5c4a-4d17-8786-7ec6f6926c9a · outbound

This paper cites IEEE Transactions on Information Theory , volume=.

Spectrum Estimation is Almost as Hard as Tomography IEEE Transactions on Information Theory , volume=

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:23.534811Z

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Observation aa40020e-55b1-4b41-8892-002daba89442 · outbound

This paper cites Proceedings of the fortieth annual ACM symposium on Theory of computing , pages=.

Spectrum Estimation is Almost as Hard as Tomography Proceedings of the fortieth annual ACM symposium on Theory of computing , pages=

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:23.611260Z

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Observation a61f5483-8492-485e-b10f-23561ccc4313 · outbound

This paper cites Journal of Physics A: Mathematical and General , abstract =.

Spectrum Estimation is Almost as Hard as Tomography Journal of Physics A: Mathematical and General , abstract =

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:23.673206Z

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Observation 0dd42fa7-3e45-4021-9e80-9ea153ce570c · outbound

This paper cites Journal of Mathematical Physics , volume=.

Spectrum Estimation is Almost as Hard as Tomography Journal of Mathematical Physics , volume=

Reference 6

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Observation ade27050-4609-43d0-90be-f19dca5befd2 · outbound

This paper cites Probability theory and related fields , volume=.

Spectrum Estimation is Almost as Hard as Tomography Probability theory and related fields , volume=

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:23.975918Z

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Observation 62c7beda-7512-4c79-a653-4114b49f8ef5 · outbound

This paper cites The Strong Asymptotic Freeness of.

Spectrum Estimation is Almost as Hard as Tomography The Strong Asymptotic Freeness of

Reference 8

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Observation b198a239-9f88-46ed-9b30-227ba431bf06 · outbound

This paper cites Integral Equations and Operator Theory , volume =.

Spectrum Estimation is Almost as Hard as Tomography Integral Equations and Operator Theory , volume =

Reference 9

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Observation 3750b641-6844-44e2-af74-03b6bb272118 · outbound

This paper cites 2009 , doi =.

Spectrum Estimation is Almost as Hard as Tomography 2009 , doi =

Reference 10

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Observation 6bd173f3-1575-439d-a980-df6295df8a28 · outbound

This paper cites Proceedings of the 31st Conference on Learning Theory , series =.

Spectrum Estimation is Almost as Hard as Tomography Proceedings of the 31st Conference on Learning Theory , series =

Reference 11

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Observation 95c949e5-d154-49ff-95c3-e3c1d88272f6 · outbound

This paper cites IEEE Transactions on Information Theory , volume =.

Spectrum Estimation is Almost as Hard as Tomography IEEE Transactions on Information Theory , volume =

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:24.545021Z

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Observation db114b1a-7e83-441d-9ca8-e374713b678f · outbound

This paper cites Journal of the ACM , volume =.

Spectrum Estimation is Almost as Hard as Tomography Journal of the ACM , volume =

Reference 13

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Observation bc9114f8-c1fa-4e00-a373-fb4b16f2da0d · outbound

This paper cites Optimal Quantum State Testing Even with Limited Entanglement.

Spectrum Estimation is Almost as Hard as Tomography Optimal Quantum State Testing Even with Limited Entanglement

Reference 14

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Observation 8b61d451-9a66-46f2-8a87-511dc1707611 · outbound

This paper cites Proceedings of the 2022 IEEE 63rd Annual Symposium on Foundations of Computer Science (FOCS) , pages =.

Spectrum Estimation is Almost as Hard as Tomography Proceedings of the 2022 IEEE 63rd Annual Symposium on Foundations of Computer Science (FOCS) , pages =

Reference 15

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Observation b71b081c-19a4-494f-8c87-9517f120577d · outbound

This paper cites Proceedings of the 58th Annual ACM Symposium on Theory of Computing , pages =.

Spectrum Estimation is Almost as Hard as Tomography Proceedings of the 58th Annual ACM Symposium on Theory of Computing , pages =

Reference 16

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Observation cd736f34-cbf8-4726-81d1-fbe3a1ace945 · outbound

This paper cites Entanglement is necessary for optimal quantum property testing , booktitle =.

Spectrum Estimation is Almost as Hard as Tomography Entanglement is necessary for optimal quantum property testing , booktitle =

Reference 17

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Observation 29bb2b9a-128f-4274-aa64-c47565b4ef30 · outbound

This paper cites Quantum state certification , booktitle =.

Spectrum Estimation is Almost as Hard as Tomography Quantum state certification , booktitle =

Reference 18

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Observation bb54b240-ef4e-4573-ac31-7feb95866e5c · outbound

This paper cites Physical Review Letters , volume =.

Spectrum Estimation is Almost as Hard as Tomography Physical Review Letters , volume =

Reference 19

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Observation 57a55875-96d6-49fb-93bf-5d0ddbae9f36 · outbound

This paper cites Reviews of Modern Physics , volume =.

Spectrum Estimation is Almost as Hard as Tomography Reviews of Modern Physics , volume =

Reference 20

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Observation 134c0ef5-ffff-4c4b-acce-2d8bde521654 · outbound

This paper cites Physical Review A , volume =.

Spectrum Estimation is Almost as Hard as Tomography Physical Review A , volume =

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:25.449499Z

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Observation 74793d54-f151-408c-856e-04cf31ead782 · outbound

This paper cites Physical Review A , volume =.

Spectrum Estimation is Almost as Hard as Tomography Physical Review A , volume =

Reference 22

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Observation 3ca56512-7abd-4f5e-a18e-2641eb7dd81e · outbound

This paper cites Quantum marginal problem and representations of the symmetric group.

Spectrum Estimation is Almost as Hard as Tomography Quantum marginal problem and representations of the symmetric group

Reference 23

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Observation 28bdf2e5-a877-4500-8c70-acf57f3e387e · outbound

This paper cites Science , volume =.

Spectrum Estimation is Almost as Hard as Tomography Science , volume =

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:25.626289Z

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Observation a133afcf-0f86-4abb-bae0-3d8509da3671 · outbound

This paper cites 2013 , doi =.

Spectrum Estimation is Almost as Hard as Tomography 2013 , doi =

Reference 25

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Observation 9a9e514e-49b2-434a-94f1-3276723a0f97 · outbound

This paper cites Communications in Mathematical Physics , volume =.

Spectrum Estimation is Almost as Hard as Tomography Communications in Mathematical Physics , volume =

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:25.771607Z

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Observation 93cd9d31-9130-4804-b32a-a1bc619f192f · outbound

This paper cites Physical Review A , volume =.

Spectrum Estimation is Almost as Hard as Tomography Physical Review A , volume =

Reference 27

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Observation 99c6617c-2aa2-41ac-a8ab-e8f2c19e5087 · outbound

This paper cites Physical Review Letters , volume =.

Spectrum Estimation is Almost as Hard as Tomography Physical Review Letters , volume =

Reference 28

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Observation b3e20733-6099-4ad8-82e1-791d892fcbcd · outbound

This paper cites Nature Reviews Physics , volume =.

Spectrum Estimation is Almost as Hard as Tomography Nature Reviews Physics , volume =

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:25.915309Z

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Observation eb5274df-0601-4da0-9dbd-fcfc73924106 · outbound

This paper cites an unresolved cited work.

Spectrum Estimation is Almost as Hard as Tomography Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:25.980317Z

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Observation 1d1fd3fa-fede-424d-a3d0-2349e7881e05 · outbound

This paper cites IEEE Journal on Selected Areas in Information Theory , volume =.

Spectrum Estimation is Almost as Hard as Tomography IEEE Journal on Selected Areas in Information Theory , volume =

Reference 31

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Observation 0194d5cf-06c3-4f6f-a6ad-3dc7b9a2dd65 · outbound

This paper cites an unresolved cited work.

Spectrum Estimation is Almost as Hard as Tomography Unresolved cited work

Reference 32

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Observation c35dea2f-5f48-4d8d-8540-c00d0456f0ef · outbound

This paper cites Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA) , pages =.

Spectrum Estimation is Almost as Hard as Tomography Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA) , pages =

Reference 33

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Observation c2c08976-42e6-4c4a-b130-3473a176d4c8 · outbound

This paper cites Communications in Mathematical Physics , volume =.

Spectrum Estimation is Almost as Hard as Tomography Communications in Mathematical Physics , volume =

Reference 34

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Observation 1a6bb41e-6f89-451a-a790-6f150494dfba · outbound

This paper cites Proceedings of the 58th Annual ACM Symposium on Theory of Computing , pages =.

Spectrum Estimation is Almost as Hard as Tomography Proceedings of the 58th Annual ACM Symposium on Theory of Computing , pages =

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:26.395557Z

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Observation c3d6b17c-1b43-4799-9563-9361835d9a0b · outbound

This paper cites IEEE Transactions on Information Theory , volume =.

Spectrum Estimation is Almost as Hard as Tomography IEEE Transactions on Information Theory , volume =

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:26.478113Z

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Observation 165e58bf-ae93-49b8-9885-66183ee51af1 · outbound

This paper cites Proceedings of the Forty-Eighth Annual ACM Symposium on Theory of Computing , pages =.

Spectrum Estimation is Almost as Hard as Tomography Proceedings of the Forty-Eighth Annual ACM Symposium on Theory of Computing , pages =

Reference 37

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Observation f1545a6b-6580-4e1a-b637-7a2c0df5ef97 · outbound

This paper cites Reviews in Mathematical Physics , volume =.

Spectrum Estimation is Almost as Hard as Tomography Reviews in Mathematical Physics , volume =

Reference 38

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Observation 71fc7c28-ccfc-477f-9ed1-e2402942b804 · outbound

This paper cites Physical Review A , volume =.

Spectrum Estimation is Almost as Hard as Tomography Physical Review A , volume =

Reference 39

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Observation cbd88732-d7ef-49b3-94d0-13edb3256b76 · outbound

This paper cites The Keyl-Werner algorithm is not optimal for spectrum estimation.

Spectrum Estimation is Almost as Hard as Tomography The Keyl-Werner algorithm is not optimal for spectrum estimation

Reference 40

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Observation 4ea22c1f-b5e5-461d-8bb0-34faed17e29e · outbound

This paper cites 2019 , doi =.

Spectrum Estimation is Almost as Hard as Tomography 2019 , doi =

Reference 41

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Observation 37462cd1-34f6-4925-b561-1ac7381b12ba · outbound

This paper cites Typical entanglement entropy in the presence of a center:.

Spectrum Estimation is Almost as Hard as Tomography Typical entanglement entropy in the presence of a center:

Reference 42

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Observation 7435f067-508b-4c6e-8f5c-776b6c007120 · outbound

This paper cites Physical Review E , volume =.

Spectrum Estimation is Almost as Hard as Tomography Physical Review E , volume =

Reference 43

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Observation 62dc79af-7c03-4976-9d3a-4a0cd5fbc078 · outbound

This paper cites Physical Review Letters , volume =.

Spectrum Estimation is Almost as Hard as Tomography Physical Review Letters , volume =

Reference 44

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Observation 27991fa2-a3fe-48db-9492-f6af4e513e64 · outbound

This paper cites Physical Review E , volume =.

Spectrum Estimation is Almost as Hard as Tomography Physical Review E , volume =

Reference 45

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Observation d8b3271f-91d1-493b-8a24-2b2c0248f571 · outbound

This paper cites Introduction to quantum.

Spectrum Estimation is Almost as Hard as Tomography Introduction to quantum

Reference 46

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Observation 3515f9dc-e58f-485a-95da-61abfa522d3b · outbound

This paper cites Journal of Algebra , volume =.

Spectrum Estimation is Almost as Hard as Tomography Journal of Algebra , volume =

Reference 47

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Observation 900c8274-5378-4663-87a3-15e8d29b2b8d · outbound

This paper cites Physical Review Letters , volume =.

Spectrum Estimation is Almost as Hard as Tomography Physical Review Letters , volume =

Reference 48

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Observation 48cb5aa1-baef-4190-b135-094ef574a28e · outbound

This paper cites Annales Henri Poincar.

Spectrum Estimation is Almost as Hard as Tomography Annales Henri Poincar

Reference 49

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Observation cd46af95-ebb3-44de-90ea-933978b1c13a · outbound

This paper cites Reports on Mathematical Physics , volume =.

Spectrum Estimation is Almost as Hard as Tomography Reports on Mathematical Physics , volume =

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:27.771199Z

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Observation 9da1f7f3-d74f-4f18-8b56-5a916bbde922 · outbound

This paper cites Communications in Mathematical Physics , volume =.

Spectrum Estimation is Almost as Hard as Tomography Communications in Mathematical Physics , volume =

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:27.871950Z

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Observation f718f1dd-31a0-4804-9fea-ddf739785f15 · outbound

This paper cites Bulletin of the American Mathematical Society , volume =.

Spectrum Estimation is Almost as Hard as Tomography Bulletin of the American Mathematical Society , volume =

Reference 52

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Observation 5b68e831-6d87-4b6b-b850-2e24184aa03e · outbound

This paper cites Compositio Mathematica , volume =.

Spectrum Estimation is Almost as Hard as Tomography Compositio Mathematica , volume =

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:28.082682Z

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Observation a276ec70-340f-4c16-adf9-23b703923fd3 · outbound

This paper cites Free states of the canonical anticommutation relations , journal =.

Spectrum Estimation is Almost as Hard as Tomography Free states of the canonical anticommutation relations , journal =

Reference 54

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Observation 3fb9646b-dad8-449a-b81c-c1f82ea2dd78 · outbound

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Spectrum Estimation is Almost as Hard as Tomography 2001 , doi =

Reference 55

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Observation 0b97dc34-93ed-4a12-ad1b-b1c193d6d5fe · outbound

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Spectrum Estimation is Almost as Hard as Tomography Essential Mathematics for Convex Optimization , publisher =

Reference 56

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Observation 39ca49f7-85c5-4911-8806-02bfc895ef1c · outbound

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Spectrum Estimation is Almost as Hard as Tomography 2010 , doi =

Reference 57

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Observation 77f3edbb-93a2-4c06-b6f5-1f95eadc54c4 · outbound

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Spectrum Estimation is Almost as Hard as Tomography Unresolved cited work

Reference 58

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Observation 78467809-d276-4c8f-b981-cbb139a6b17f · outbound

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Spectrum Estimation is Almost as Hard as Tomography Integration with respect to the

Reference 59

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Observation 705acdd6-b419-455e-a083-e17f6849af41 · outbound

This paper cites an unresolved cited work.

Spectrum Estimation is Almost as Hard as Tomography Unresolved cited work

Reference 60

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Pith citing papers

Observation 40670813-0e58-42bc-a462-63e1d676f374 · inbound

Nearly tight lower bounds for estimating quantum functionals: Uhlmann fidelity, trace distance, and von Neumann entropy cites this paper.

Nearly tight lower bounds for estimating quantum functionals: Uhlmann fidelity, trace distance, and von Neumann entropy Spectrum Estimation is Almost as Hard as Tomography

Reference 16

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