Paper Citation Record · LEDGER

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization

As of 22 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2606.13628.

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

pith.paper-citation-record.v1
2606.13628 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T04:39:57.778962Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

21 of 21 outbound references displayed

verified exact2
verified fuzzy0
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 72abb5f9-562f-4a6a-9d94-5ee56ab44da5 · outbound

This paper cites Alper, T.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Alper, T

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4b58e68-c1f0-4db0-8684-1bf23a756915 · outbound

This paper cites Bringmann, C.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Bringmann, C

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6eaa7403-403f-4be7-b42b-444ddb2a69eb · outbound

This paper cites B¨ urgisser.Completeness and Reduction in Algebraic Complexity Theory.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization B¨ urgisser.Completeness and Reduction in Algebraic Complexity Theory

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5b07432-8379-4f1a-a1c0-eb3e4f19fc4f · outbound

This paper cites Fulton, S.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Fulton, S

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a63c9063-8b56-4473-9b6f-c6458697a232 · outbound

This paper cites Fulton.Intersection Theory, 2nd ed.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Fulton.Intersection Theory, 2nd ed

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3de7eeb0-0788-47f7-81bb-256834c1c6c7 · outbound

This paper cites an unresolved cited work.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73b2ee38-10f9-4300-a22a-cb520efc66e7 · outbound

This paper cites an unresolved cited work.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a3d1b3d-4a1f-4238-b458-561a3c17b3db · outbound

This paper cites Hartshorne.Algebraic Geometry.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Hartshorne.Algebraic Geometry

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f664f2f2-6ad0-43ce-8654-d8d2370bde17 · outbound

This paper cites an unresolved cited work.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59c1852d-18e8-483b-b67b-1a822c6fd8eb · outbound

This paper cites Kr¨ amer.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Kr¨ amer

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 569d0eaf-92f8-4b7d-9aa9-fed4fa374170 · outbound

This paper cites A Lower Bound on Determinantal Complexity.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization A Lower Bound on Determinantal Complexity

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-03T17:08:43.139540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 764e6541-b7aa-4d30-ad4a-39f5e412e5ec · outbound

This paper cites an unresolved cited work.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33882803-194d-4e42-8ff0-d3eca12bbb14 · outbound

This paper cites Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-07-03T17:08:43.136399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 189d3d0b-3936-45fe-889e-a4d790ceb3a2 · outbound

This paper cites Mignon and N.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Mignon and N

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef9362ac-5243-44ba-95f4-f6ecaa5648e2 · outbound

This paper cites Mumford.The Red Book of Varieties and Schemes, 2nd expanded ed.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Mumford.The Red Book of Varieties and Schemes, 2nd expanded ed

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee3c6970-5761-423e-8108-4b4dd2c6fb41 · outbound

This paper cites an unresolved cited work.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82e4ec05-f13c-443d-8076-9ee08fa6510e · outbound

This paper cites Sheshadri.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Sheshadri

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c10f5d96-d7be-406b-afb6-c5fd7326b125 · outbound

This paper cites Sheshadri.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Sheshadri

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a76abaf4-3632-4724-9860-367e98c5f453 · outbound

This paper cites an unresolved cited work.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0886c553-c0af-4073-aa2d-a0fe727df4b5 · outbound

This paper cites an unresolved cited work.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cac403d9-cff7-497c-946c-cf48235ba329 · outbound

This paper cites Ghat_{t0} = det Ahat_{t0}.

A near-quadratic lower bound on the border determinantal complexity of $\sum_i x_i^n$ via conormal specialization Ghat_{t0} = det Ahat_{t0}

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T04:39:57.778962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.