Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:46:40.990222Z
Paper Citation Record · LEDGER
Postive Semidefinite and Sum of Squares Biquadratic Polynomials
As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2506.17260.
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 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
14 of 14 outbound references displayed
- verified exact2
- verified fuzzy9
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 9b8258cb-a9ef-4697-ba68-de5557407c1a · outbound
This paper cites Calder\' o n, ``A note on biquadratic forms'', Linear Algebra and Its Applications 7 (1973) 175-177.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials Calder\' o n, ``A note on biquadratic forms'', Linear Algebra and Its Applications 7 (1973) 175-177
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:46:41.218103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c78bfd2b-2c31-41c9-935a-d6812a296898 · outbound
This paper cites Chesi, ``On the gap between positive polynomials and SOS of polynomials'', IEEE Trans.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials Chesi, ``On the gap between positive polynomials and SOS of polynomials'', IEEE Trans
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:46:41.203755Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 43296ebe-2a9a-4995-b6e3-6d35a925eded · outbound
This paper cites Choi, ``Positive semidefinite biquadratic forms'', Linear Algebra and Its Applications 12 (1975) 95-100.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials Choi, ``Positive semidefinite biquadratic forms'', Linear Algebra and Its Applications 12 (1975) 95-100
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:46:41.189868Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 021b3a77-bc22-437e-88dc-1648b63ca91b · outbound
This paper cites Choi and T.-Y.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials Choi and T.-Y
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:46:41.176149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b750b579-155c-4523-a374-d8cf243bd05b · outbound
This paper cites Nonnegative Biquadratic Tensors.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials Nonnegative Biquadratic Tensors
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T05:46:41.050742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5b3867af-ff27-4a13-b16a-04df1f950f09 · outbound
This paper cites Fidalgo and A.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials Fidalgo and A
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:46:41.162122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation aeef8811-b550-4305-9073-57d77c455a10 · outbound
This paper cites an unresolved cited work.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:46:41.148761Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c9d22285-df02-4da3-84d3-b90550817f4d · outbound
This paper cites Hilbert, ``\" U ber die darstellung definiter formen als summe von formenquadraten'', Mathematische Annalen 32 (1888) 342-350.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials Hilbert, ``\" U ber die darstellung definiter formen als summe von formenquadraten'', Mathematische Annalen 32 (1888) 342-350
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:46:41.135289Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 640d293f-7da2-42ba-8baa-8ef2d0530970 · outbound
This paper cites an unresolved cited work.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:46:41.121282Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e95db256-bb29-4e7d-a844-28d3c2089650 · outbound
This paper cites Motzkin, ``The arithmetic geometry inequality'', in: Proceedings of the Symposium , Wright-Patterson Air Force Base, Ohio, 1965, pp.205-224.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials Motzkin, ``The arithmetic geometry inequality'', in: Proceedings of the Symposium , Wright-Patterson Air Force Base, Ohio, 1965, pp.205-224
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:46:41.106648Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1c6b014c-a56a-4a5c-a7c4-adbcb477b461 · outbound
This paper cites An elementary proof of Hilbert’s theorem on ternary quartics.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials An elementary proof of Hilbert’s theorem on ternary quartics
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:46:41.092436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 29ed0212-e564-452a-8442-532fb6e71585 · outbound
This paper cites Biquadratic Tensors: Eigenvalues and Structured Tensors.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials Biquadratic Tensors: Eigenvalues and Structured Tensors
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T05:46:41.030249Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7c36a55d-af4b-4421-b091-cbb5f129a925 · outbound
This paper cites an unresolved cited work.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:46:41.078981Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2acdda8a-757d-4ab9-8a3d-74c147a1e6cf · outbound
This paper cites Reznick, ``Extremal PSD forms with few terms'', Duke Mathematical Journal 45 (1978) 363-374.
Postive Semidefinite and Sum of Squares Biquadratic Polynomials Reznick, ``Extremal PSD forms with few terms'', Duke Mathematical Journal 45 (1978) 363-374
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:46:41.064746Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
No inbound Pith citation observations are available.