Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-26T09:42:09.105629Z
Paper Citation Record · LEDGER
Sums of squares on curves and surfaces
As of 11 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2606.22401.
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 2026-08-11T06:34:44.6726+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
29 of 29 outbound references displayed
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 21d954cd-ca36-4d1f-9d1a-399bb0a62fd9 · outbound
This paper cites Extension of $k$-regulous functions from varieties of arbitrary dimension.
Sums of squares on curves and surfaces Extension of $k$-regulous functions from varieties of arbitrary dimension
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T09:39:46.862237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f936411b-d7c3-4fc1-b2e4-99eb22ee0268 · outbound
This paper cites Extensions ofk-regulous functions from two-dimensional varieties.Math.
Sums of squares on curves and surfaces Extensions ofk-regulous functions from two-dimensional varieties.Math
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6234d9f-5083-4de4-a8b7-1da9254443e6 · outbound
This paper cites Sums of even powers ofk-regulous functions.Indag.
Sums of squares on curves and surfaces Sums of even powers ofk-regulous functions.Indag
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa5337c4-31ac-469b-99c0-edf025202972 · outbound
This paper cites The real holomorphy ring and sums of 2n-th powers.
Sums of squares on curves and surfaces The real holomorphy ring and sums of 2n-th powers
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f40a7d94-0712-495f-af6c-a0ec1ef5532b · outbound
This paper cites Sums of powers in rings and the real holomorphy ring.J.
Sums of squares on curves and surfaces Sums of powers in rings and the real holomorphy ring.J
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 59e3a31e-6915-47fe-bae6-c4333c3e238d · outbound
This paper cites The Pythagoras number of fields of transcendence degree $1$ over $\mathbb{Q}$.
Sums of squares on curves and surfaces The Pythagoras number of fields of transcendence degree $1$ over $\mathbb{Q}$
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T09:39:46.853653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f6870d5f-0df9-4d5a-ad9f-2089e77146c8 · outbound
This paper cites Sums of squares on hypersurfaces.Result.
Sums of squares on curves and surfaces Sums of squares on hypersurfaces.Result
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45f1e4bd-f6fb-4fd0-a69d-6570e2013242 · outbound
This paper cites SUMS OF SQUARES ON CURVES AND SURFACES 17.
Sums of squares on curves and surfaces SUMS OF SQUARES ON CURVES AND SURFACES 17
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9600cdcc-860b-488e-8924-e71f4f26594d · outbound
This paper cites Pythagoras numbers for ternary forms.Proc.
Sums of squares on curves and surfaces Pythagoras numbers for ternary forms.Proc
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8005382a-6cb6-4350-9822-aed403e712eb · outbound
This paper cites The Pythagoras number of some affine algebras and local algebras.J.
Sums of squares on curves and surfaces The Pythagoras number of some affine algebras and local algebras.J
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 12274839-e27d-42b6-8e62-fc886554937a · outbound
This paper cites Sums of 2m-th powers of rational functions in one variable over real closed fields.Math.
Sums of squares on curves and surfaces Sums of 2m-th powers of rational functions in one variable over real closed fields.Math
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 17fb8b90-5590-4059-836a-da1f4a18417e · outbound
This paper cites Pythagoras numbers for infinite algebraic fields.
Sums of squares on curves and surfaces Pythagoras numbers for infinite algebraic fields
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T09:39:46.856444Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7606c69b-795d-4b21-8522-c78c7098c89f · outbound
This paper cites PhD thesis, Stanford University, 1980.
Sums of squares on curves and surfaces PhD thesis, Stanford University, 1980
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13ea2103-03b0-4efd-af65-0f54623fe6b6 · outbound
This paper cites On biquadratic fields: when 5 squares are not enough.
Sums of squares on curves and surfaces On biquadratic fields: when 5 squares are not enough
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-07-04T09:39:46.859425Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3d233363-f4f7-45ec-8110-74b3cbcb4db6 · outbound
This paper cites Fernando, Jes´ us M.
Sums of squares on curves and surfaces Fernando, Jes´ us M
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72f578f5-8e49-4156-be27-d8f9bdba56f4 · outbound
This paper cites Regulous func- tions.J.
Sums of squares on curves and surfaces Regulous func- tions.J
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f9fda7f5-f2e4-43a5-81e0-66fdb509be2d · outbound
This paper cites Lower bounds for Pythagoras numbers of function fields.Comment.
Sums of squares on curves and surfaces Lower bounds for Pythagoras numbers of function fields.Comment
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 391bd333-abac-4fe3-add3-ebc831794f60 · outbound
This paper cites On quadratic persistence and Pythagoras numbers of totally real projective varieties.
Sums of squares on curves and surfaces On quadratic persistence and Pythagoras numbers of totally real projective varieties
Reference 18
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T09:39:46.850815Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1d8c2456-6fde-4c51-87bd-1aa4b59799b4 · outbound
This paper cites Sums of squares of regular functions on rational surfaces.
Sums of squares on curves and surfaces Sums of squares of regular functions on rational surfaces
Reference 19
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T09:39:46.847041Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 184e1684-b081-48e7-a2e7-bdbc2c37c8cc · outbound
This paper cites On Waring numbers of henselian rings.Mathematika, 70(4):28,.
Sums of squares on curves and surfaces On Waring numbers of henselian rings.Mathematika, 70(4):28,
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7ffc1ddc-b5a4-476f-b817-090c0a454bb7 · outbound
This paper cites On higher Pythagoras numbers of real polynomial rings.Indiana Univ.
Sums of squares on curves and surfaces On higher Pythagoras numbers of real polynomial rings.Indiana Univ
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8563ded9-8e38-4a87-9e40-2c53730e5596 · outbound
This paper cites Exponential sums over finite fields: elementary methods.
Sums of squares on curves and surfaces Exponential sums over finite fields: elementary methods
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cde5421a-c260-40c7-ac0f-d40a1b71009d · outbound
This paper cites Pythagoras numbers of orders in biquadratic fields.
Sums of squares on curves and surfaces Pythagoras numbers of orders in biquadratic fields
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d08e38af-a604-4098-9234-cc64fdc0ceca · outbound
This paper cites On the Pythagoras number for polynomials of degree 4 in 5 variables.Rev.
Sums of squares on curves and surfaces On the Pythagoras number for polynomials of degree 4 in 5 variables.Rev
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f43c4703-f97c-4a80-8dc5-f0f537bb303d · outbound
This paper cites Finiteness of Pythagoras numbers of finitely generated real algebras, 2025.
Sums of squares on curves and surfaces Finiteness of Pythagoras numbers of finitely generated real algebras, 2025
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77c9200e-e831-462d-8a54-6ebddd1f830a · outbound
This paper cites Delzell.Positive polynomials.
Sums of squares on curves and surfaces Delzell.Positive polynomials
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9aa9d6b8-d1a8-47ee-9019-32cd9f0b69a2 · outbound
This paper cites On sums of squares in local rings.J.
Sums of squares on curves and surfaces On sums of squares in local rings.J
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7190c456-a67f-43d1-86c4-b24fe465c6db · outbound
This paper cites Sum of squares length of real forms.Math.
Sums of squares on curves and surfaces Sum of squares length of real forms.Math
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 414c7a58-d237-4db8-8dea-e4fc28e0ad1e · outbound
This paper cites Bounds on the Pythagoras number and indecomposables in biquadratic fields.Proc.
Sums of squares on curves and surfaces Bounds on the Pythagoras number and indecomposables in biquadratic fields.Proc
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T09:42:09.105629Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.