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Paper Citation Record · LEDGER

On quadratic persistence and Pythagoras numbers of totally real projective varieties

As of 10 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2506.13247.

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

pith.paper-citation-record.v1
2506.13247 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:00:34.760836Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T09:42:09.105629Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T09:39:46.849419Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact2
  • verified fuzzy7
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f5290365-3eef-4b5c-bad2-ed1c1756b56c · outbound

This paper cites an unresolved cited work.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:00:35.019787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.692657Z digest=sha256:b8a6deef0f2cbe662b7efb7f30886c0daf065e43bc6862ba5be9afb70df97fba

Observation f44156f4-5fbe-4fc8-ad82-d96602a23e34 · outbound

This paper cites Pythagoras Numbers for Ternary Forms.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Pythagoras Numbers for Ternary Forms

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:00:34.824206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.697833Z digest=sha256:9c6325a24d12bf464a81205d524fc1711afd5bae5655685d447bc6ac227a8eaf

Observation a67f6154-092c-45a4-8a4b-d9a86c38be9b · outbound

This paper cites 959, Springer, Berlin-New York, 1982, pp.

On quadratic persistence and Pythagoras numbers of totally real projective varieties 959, Springer, Berlin-New York, 1982, pp

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:00:35.004737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.702953Z digest=sha256:0257928cc09ca76e2b98770993608f95aa023d700584d96c4428ce25aad056ee

Observation d6fe8eb2-8a04-460d-afd7-edd83cd8d185 · outbound

This paper cites an unresolved cited work.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:00:34.989728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.707755Z digest=sha256:00c96221c6116da7744bbc2d2340ffc743a41b43b66ce6a7965511b341580683

Observation 1f62242e-71b1-4abf-807d-ec275af754e2 · outbound

This paper cites Algebraic Geom.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Algebraic Geom

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:00:34.975043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.712795Z digest=sha256:ac444907e188dbea25c82a2a8d84bc1b4648e8ac16f9fdbd76c71229e2b16e0a

Observation 9283bef6-81f8-4503-a5fb-68d404718310 · outbound

This paper cites Smith, and Mauricio Velasco, Sums of squares: a real projective story, Notices Amer.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Smith, and Mauricio Velasco, Sums of squares: a real projective story, Notices Amer

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:00:34.960198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.718392Z digest=sha256:0f8a8ed5cc6f973ebe2538ad4b667f4bb0402d1a90d9eb551ac1636c397f52b9

Observation e498848d-1aba-4b15-91cf-a742fdc8f725 · outbound

This paper cites an unresolved cited work.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:00:34.946378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.723496Z digest=sha256:e50456ddb0102fab1321f5fe24f80e319d0b18c9e1b6b2f96442b6e18d2ef9c5

Observation 260bdb87-efd0-4b49-8a8a-95c885ef3028 · outbound

This paper cites Spurious local minima in nonconvex sum-of-squares optimization.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Spurious local minima in nonconvex sum-of-squares optimization

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:00:34.802367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.729150Z digest=sha256:e0cea17e3a39c8336b2efc121f785b1b3088ec2993a6f622768e95dd87d5e6ed

Observation 2f2947fd-f117-4643-97c5-576bd0d40c10 · outbound

This paper cites an unresolved cited work.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:00:34.931792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.734012Z digest=sha256:21abc8fc468a37a5549a6b68d1d02beb23cad403ab6de65c6a7b28cec7fe3316

Observation eb6cddc9-ddd8-409b-a462-cf36c3c93496 · outbound

This paper cites Algebra 88 (1984), no.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Algebra 88 (1984), no

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:00:34.917519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.738700Z digest=sha256:9230effdd51ceaf75c4cd232715dba9d92ae3a589dcfc4ef141709ccaf52be38

Observation 1b49b433-2aa8-4a3d-b158-84252c731e95 · outbound

This paper cites Gruson, R.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Gruson, R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:00:34.902784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.743487Z digest=sha256:16da1c0e74dda82a7ce84e72b0f89877f5a02e227b8b15162078cf9b19563ed9

Observation f068e19e-90c7-48b8-b906-2c6554677687 · outbound

This paper cites Green, Koszul cohomology and the geometry of projective varieties, J.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Green, Koszul cohomology and the geometry of projective varieties, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:00:34.886514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.747621Z digest=sha256:ad3a3915e31cba06ed4b9865baa4c5e6e79ff38a801cc42724d4a81eb0b39595

Observation fb7229cc-71e3-41e9-9949-a610235cfdc4 · outbound

This paper cites Math., vol.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Math., vol

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:00:34.870373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.752068Z digest=sha256:ef667366d00718834483bb32b279ad4bcd7b0822d5068cd2cf0ac67eb2809b37

Observation be6ae94f-f572-45a0-a6de-65645d50d072 · outbound

This paper cites an unresolved cited work.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:00:34.854696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.756478Z digest=sha256:75cb33c4b1ad222fbba12ee802dbb4a4575ba3587009fb730b46ee050b0c039d

Observation 3a4ac6e7-0d12-40cf-a5af-ace9840917dc · outbound

This paper cites an unresolved cited work.

On quadratic persistence and Pythagoras numbers of totally real projective varieties Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:00:34.839425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T01:00:34.760836Z digest=sha256:4e42a2aab222d368181ceebb50e4fc4bab8ee5cc3e3d7ef52a1e53dc8bb7164c

Pith citing papers

Observation 391bd333-abac-4fe3-add3-ebc831794f60 · inbound

Sums of squares on curves and surfaces cites this paper.

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-26T09:42:09.105629Z digest=sha256:28ce1b360ec60e9853c853cb1370c49f17411ac86f59d10e2d4981ad33738666