Paper Citation Record · LEDGER

Density of solutions for systems of forms

As of 20 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2507.11514.

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

pith.paper-citation-record.v1
2507.11514 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:24:43.690123Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

14 of 14 outbound references displayed

verified exact0
verified fuzzy5
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 33e38a12-d26d-4252-9c83-34a165e783f9 · outbound

This paper cites Small subalgebras of polynomial rings and Stillman’s conjecture.

Density of solutions for systems of forms Small subalgebras of polynomial rings and Stillman’s conjecture

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:24:45.403378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2d5114d9-b745-4969-9909-7ab7ab6a5bcc · outbound

This paper cites Strength is bounded linearly by Birch rank.

Density of solutions for systems of forms Strength is bounded linearly by Birch rank

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T17:24:42.584983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc2f6f63-5562-4989-858b-b83ebbfb73b2 · outbound

This paper cites Strength and partition rank under limits and field extensions.

Density of solutions for systems of forms Strength and partition rank under limits and field extensions

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T17:24:42.706751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d1de8d7-b22f-4c76-9871-cc8deb9cdfa9 · outbound

This paper cites Two improvements in Brauer's theorem on forms.

Density of solutions for systems of forms Two improvements in Brauer's theorem on forms

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T17:24:42.798775Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 899fb39c-4072-402e-a001-9d9322f60deb · outbound

This paper cites The geometry of polynomial representations in positive characteristic.

Density of solutions for systems of forms The geometry of polynomial representations in positive characteristic

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:24:45.249994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cb8cc74c-f555-42db-adcd-cb2872657634 · outbound

This paper cites an unresolved cited work.

Density of solutions for systems of forms Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:24:45.127863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation eb899f0a-cbcf-4201-8f8a-a276ff36d4b6 · outbound

This paper cites A note on systems of homogeneous algebraic equations.

Density of solutions for systems of forms A note on systems of homogeneous algebraic equations

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:24:45.009278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b0c087d3-da6e-48f6-a5b6-9119a9d8925e · outbound

This paper cites Commutative algebra, volume 150 of Graduate Texts in Mathematics.

Density of solutions for systems of forms Commutative algebra, volume 150 of Graduate Texts in Mathematics

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:24:44.880186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cd83dfeb-0c70-495d-8131-c0003bc27155 · outbound

This paper cites an unresolved cited work.

Density of solutions for systems of forms Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:24:44.712844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0ec632c0-a746-4583-b068-ba0a84c84135 · outbound

This paper cites an unresolved cited work.

Density of solutions for systems of forms Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:24:44.592973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d56cbe4a-0bfb-407d-b3c1-173f7e56abb1 · outbound

This paper cites an unresolved cited work.

Density of solutions for systems of forms Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:24:44.469028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 40e97d84-10b1-43b4-a83f-e5e21e0f0023 · outbound

This paper cites an unresolved cited work.

Density of solutions for systems of forms Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:24:44.344770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 57164efb-8cc1-4cde-9745-4df128ab55b7 · outbound

This paper cites Solvability of systems of diagonal equations over p-adic local fields.

Density of solutions for systems of forms Solvability of systems of diagonal equations over p-adic local fields

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:24:44.168505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9ca67bcf-81f6-4e29-98f4-7ea74a918569 · outbound

This paper cites an unresolved cited work.

Density of solutions for systems of forms Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:24:43.903364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.