Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:35:22.282899Z
Paper Citation Record · LEDGER
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory
As of 19 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 3 inbound Pith citation observations for arXiv:1908.05155.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T05:19:38.110905Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T08:26:48.493638Z
Reference resolution
31 of 31 outbound references displayed
- verified exact1
- verified fuzzy16
- unresolved14
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 258f9ac4-e97e-4849-a5d8-0fe6f84e284a · outbound
This paper cites an unresolved cited work.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:22.934520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation eef5f2c7-562f-4aee-9729-17b6323bd909 · outbound
This paper cites an unresolved cited work.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:22.915964Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f834101d-3978-40fc-822c-0ddb16a6c030 · outbound
This paper cites Barak, F.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Barak, F
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.896342Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 82d8c275-6775-46f7-8f0d-8acc8f9005f7 · outbound
This paper cites Bhattiprolu, M.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Bhattiprolu, M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.875991Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 85b3b4c1-298f-40c9-b97f-7628698fecdd · outbound
This paper cites Barak, P.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Barak, P
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.854532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e1c85944-81b9-4edc-909b-9fcb3598b2d4 · outbound
This paper cites Blekherman.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Blekherman
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.837663Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 69c331e2-c034-4520-9458-6c7fd71e4b7e · outbound
This paper cites Brickman.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Brickman
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.816018Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 10efad2d-7bba-42fc-93f5-de7896102928 · outbound
This paper cites Christandl, R.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Christandl, R
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.797503Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c09efe9d-6f10-40c8-9fad-f0bff1d58520 · outbound
This paper cites Driver and K.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Driver and K
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.777875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3983596d-16ad-4c91-b22d-445f9100bb6c · outbound
This paper cites De Klerk.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory De Klerk
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.758451Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 22058715-fdff-47b1-a932-b587087d4ad5 · outbound
This paper cites Convergence analysis of a Lasserre hierarchy of upper bounds for polynomial minimization on the sphere.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Convergence analysis of a Lasserre hierarchy of upper bounds for polynomial minimization on the sphere
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:35:22.361947Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d60f4ecd-139f-4660-a19c-60732281f0f6 · outbound
This paper cites de Klerk, M.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory de Klerk, M
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.738855Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bd2df4cf-192e-446c-addc-5d9b705fa995 · outbound
This paper cites http://dlmf.nist.gov/, Release 1.0.22 of 2019-03-15.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory http://dlmf.nist.gov/, Release 1.0.22 of 2019-03-15
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.715640Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 23e41ed5-1ce3-4d01-9e15-03e37dfee2f1 · outbound
This paper cites an unresolved cited work.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:22.692669Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 48369f12-1f83-41e1-986a-f0a94cbeee9a · outbound
This paper cites an unresolved cited work.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:22.669939Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 83b28f43-075f-4c65-903b-f4b5e6eb7556 · outbound
This paper cites an unresolved cited work.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:22.650421Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3864bd5f-c7f6-4c0a-80f9-012d5e060870 · outbound
This paper cites Convergence of SDP hierarchies for polynomial optimization on the hypersphere.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Convergence of SDP hierarchies for polynomial optimization on the hypersphere
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:35:22.192308Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4db1a875-1c8c-455d-8a9b-27b31256f878 · outbound
This paper cites an unresolved cited work.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:22.628941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d8e14e86-1a94-4cca-87e1-907e59e9d895 · outbound
This paper cites Horodecki, P.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Horodecki, P
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.608341Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 260a1e52-066e-4c05-8bf8-094341bf9db8 · outbound
This paper cites an unresolved cited work.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:22.586885Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 979f3dec-1faa-4770-a504-2f4dc45b20d7 · outbound
This paper cites Koenig and G.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Koenig and G
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.568086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 057faa2f-e756-4f1d-add5-66c2ff1822e7 · outbound
This paper cites an unresolved cited work.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:22.548601Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0e31958b-df9a-4a11-926f-c3ae7d877993 · outbound
This paper cites Lewenstein, D.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Lewenstein, D
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.531554Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 314e87d0-47d2-4d3f-9d7e-8feab560f517 · outbound
This paper cites Nesterov.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Nesterov
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.509835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a071eeff-f86a-4c6e-a5fa-e8a7a9831b98 · outbound
This paper cites Navascues, M.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Navascues, M
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.492141Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 27e79878-daea-4a68-bc23-f94d56590f5b · outbound
This paper cites an unresolved cited work.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:22.475003Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d5b758be-c54d-4afc-a65c-80b509880cd9 · outbound
This paper cites an unresolved cited work.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:22.455092Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6cb45c77-b9bc-4f7b-8ff2-e4e811a8ba80 · outbound
This paper cites an unresolved cited work.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:22.435588Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d2504c96-e2a2-4d47-84fa-4f31666ceb91 · outbound
This paper cites P \'o lik and T.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory P \'o lik and T
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:22.417980Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c1f02b01-c7d4-46da-bcf2-26fcd1a96cf2 · outbound
This paper cites an unresolved cited work.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:22.400036Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1cc0f30c-29de-4af3-a7d3-6cf594f2ac09 · outbound
This paper cites an unresolved cited work.
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:22.382183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
Observation 27a15a16-96a4-4fb9-b4eb-eeeacca502ca · inbound
A refinement of Reznick's Positivstellensatz with applications to quantum information theory cites this paper.
A refinement of Reznick's Positivstellensatz with applications to quantum information theory The sum-of-squares hierarchy on the sphere, and applications in quantum information theory
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T05:19:38.110905Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 242386be-75a2-4e21-a2b0-35aa5f2a12c9 · inbound
The power of unentanglement without destructive interference cites this paper.
The power of unentanglement without destructive interference The sum-of-squares hierarchy on the sphere, and applications in quantum information theory
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T19:22:01.399568Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0f57d266-5fbf-42bc-b381-d1d940eaf043 · inbound
Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra cites this paper.
Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra The sum-of-squares hierarchy on the sphere, and applications in quantum information theory
Reference 50
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T08:26:48.495022Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.