Paper Citation Record · LEDGER

A refinement of Reznick's Positivstellensatz with applications to quantum information theory

As of 19 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1909.01705.

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

pith.paper-citation-record.v1
1909.01705 v4

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:19:38.199239Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

30 of 30 outbound references displayed

verified exact0
verified fuzzy24
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

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Outbound references

Observation 8712b544-4739-46e2-a6ca-6024d909ca82 · outbound

This paper cites U ber die Z erlegung definiter F unktionen in Q uadrate. In Abhandlungen aus dem mathematischen S eminar der U niversit \.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory U ber die Z erlegung definiter F unktionen in Q uadrate. In Abhandlungen aus dem mathematischen S eminar der U niversit \

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.600200Z

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 35fdb3d8-2854-41e9-9cf7-a863320db20d · outbound

This paper cites Real algebraic geometry , volume 36.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Real algebraic geometry , volume 36

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T05:19:38.087947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c601ded-87a5-4c26-8c35-0085ecb89069 · outbound

This paper cites Matrix analysis , volume 169.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Matrix analysis , volume 169

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T05:19:38.092044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 783c60a2-aa15-4e23-9047-341b03e4ec06 · outbound

This paper cites On quantum estimation, quantum cloning and finite quantum de finetti theorems.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory On quantum estimation, quantum cloning and finite quantum de finetti theorems

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.573083Z

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 36ed4ef3-395b-4c04-ae9a-9a1f4198c9bb · outbound

This paper cites Spherical codes and designs.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Spherical codes and designs

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.560653Z

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 85a53457-7af6-4d7a-809f-e1553cff4490 · outbound

This paper cites Waring's problem.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Waring's problem

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.545773Z

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 27a15a16-96a4-4fb9-b4eb-eeeacca502ca · outbound

This paper cites The sum-of-squares hierarchy on the sphere, and applications in quantum information theory.

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 f435c16f-6626-4132-992b-b1f7cf6327f9 · outbound

This paper cites Concrete Mathematics, 2nd Edition.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Concrete Mathematics, 2nd Edition

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.533055Z

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 574eafdb-ca23-4d59-ad8b-2d74e3da7834 · outbound

This paper cites The Church of the Symmetric Subspace.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory The Church of the Symmetric Subspace

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T05:19:38.119689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5b9f277-84b6-4b6a-9558-41ede00189ff · outbound

This paper cites Zur Hilbertschen L \"o sung des Waringschen Problems.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Zur Hilbertschen L \"o sung des Waringschen Problems

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.521415Z

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 e6a78daa-bd7a-46b3-a7a3-0faef2d98690 · outbound

This paper cites Beweis f \"u r die D arstellbarkeit der ganzen Z ahlen durch eine feste A nzahl n-ter P otenzen ( W aringsches P roblem).

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Beweis f \"u r die D arstellbarkeit der ganzen Z ahlen durch eine feste A nzahl n-ter P otenzen ( W aringsches P roblem)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.508002Z

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 55f97067-74a8-4f7d-876c-a375ca36d49e · outbound

This paper cites The theory of spherical and ellipsoidal harmonics.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory The theory of spherical and ellipsoidal harmonics

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.495019Z

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 ef4e3f2b-4124-4004-ac00-e2e3b6dd2abc · outbound

This paper cites Some formal properties of the density matrix.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Some formal properties of the density matrix

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.481213Z

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 7cb39ee4-a617-4262-ad7d-35fbb23b2b2a · outbound

This paper cites On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T05:19:38.139587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e410c11-6a6f-411b-9126-7e7b7514940e · outbound

This paper cites A most compendious and facile quantum de finetti theorem.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory A most compendious and facile quantum de finetti theorem

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.459323Z

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 ea088798-1a63-4985-8c67-af11afcdd09f · outbound

This paper cites Anneaux pr \'e ordonn \'e s.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Anneaux pr \'e ordonn \'e s

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.445688Z

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 a46736c1-0aae-4f6f-a2e9-922db5eb97b2 · outbound

This paper cites Optimal cloning of pure states, testing single clones.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Optimal cloning of pure states, testing single clones

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.432295Z

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 a05d78f1-9539-42f8-afa4-2082bfd8b7b5 · outbound

This paper cites Positive polynomials and sums of squares.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Positive polynomials and sums of squares

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.419328Z

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 808cbd61-4dd2-43f6-95fb-4fe2c54dfe64 · outbound

This paper cites Effective aspects of positive semi-definite real and complex polynomials.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Effective aspects of positive semi-definite real and complex polynomials

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.405872Z

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 cc1077cb-a230-49bf-89bc-9f820838e21c · outbound

This paper cites On Waring's problem (elementary methods).

A refinement of Reznick's Positivstellensatz with applications to quantum information theory On Waring's problem (elementary methods)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.392981Z

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 c465e723-3d05-443d-8999-9166cc21bd61 · outbound

This paper cites Positive polynomials on compact semi-algebraic sets.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Positive polynomials on compact semi-algebraic sets

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T05:19:38.165610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97147d22-9395-4a05-af8c-ad5173a2e66d · outbound

This paper cites On the representation of hermitian forms as sums of squares.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory On the representation of hermitian forms as sums of squares

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.369788Z

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 a1688910-6c43-4c71-880f-94682b4f6947 · outbound

This paper cites Symmetry of large physical systems implies independence of subsystems.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Symmetry of large physical systems implies independence of subsystems

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.356196Z

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 c65f758a-c799-45a2-84ee-6209e59e16c4 · outbound

This paper cites Uniform denominators in H ilbert's seventeenth problem.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Uniform denominators in H ilbert's seventeenth problem

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.344372Z

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 305026e3-4f8a-42c8-bdc5-f392467a3b88 · outbound

This paper cites The K -moment problem for compact semi-algebraic sets.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory The K -moment problem for compact semi-algebraic sets

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.330325Z

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 385778f1-0de9-46d9-b426-d9f2f045fd70 · outbound

This paper cites Tight informationally complete quantum measurements.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Tight informationally complete quantum measurements

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.316627Z

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 0b108314-ff30-4725-9af0-bfd6c25d6b84 · outbound

This paper cites A Nullstellensatz and a Positivstellensatz in semialgebraic geometry.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory A Nullstellensatz and a Positivstellensatz in semialgebraic geometry

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.302892Z

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 9f380d08-8321-4f21-9d50-dba274da95a0 · outbound

This paper cites Orthogonal polynomials , volume 23.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Orthogonal polynomials , volume 23

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.288295Z

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 233ce52a-0d2c-4834-a6e7-3f9c4a86eebd · outbound

This paper cites Effective isometric embeddings for certain H ermitian holomorphic line bundles.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Effective isometric embeddings for certain H ermitian holomorphic line bundles

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.272943Z

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 3da533c6-7756-4554-8249-3b06c26dc0f5 · outbound

This paper cites Quantum information theory.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory Quantum information theory

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:19:38.258460Z

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

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