Paper Citation Record · LEDGER

Randomly piercing algebraic sets

As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2606.19677.

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

pith.paper-citation-record.v1
2606.19677 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T16:11:15.281337Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T07:50:43.153960Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T11:39:46.800662Z

Reference resolution

20 of 20 outbound references displayed

verified exact2
verified fuzzy0
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0fed4b16-f0d8-493b-b1c3-10c16e4b033c · outbound

This paper cites Alon,The chromatic number of random Cayley graphs, European J.

Randomly piercing algebraic sets Alon,The chromatic number of random Cayley graphs, European J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1078f6d1-64c5-4c6f-aa33-f6b75fe8625d · outbound

This paper cites Alon and J.

Randomly piercing algebraic sets Alon and J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6f6822d-8055-4934-bef7-2a4be8dd9b05 · outbound

This paper cites Altman,On Szemerédi’s theorem with differences from a random set, Acta Arith.195(2020), no.

Randomly piercing algebraic sets Altman,On Szemerédi’s theorem with differences from a random set, Acta Arith.195(2020), no

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a98d343-775e-4650-a04e-a493fccc5e2e · outbound

This paper cites Barańczuk,Reducing the number of equations defining a subset of then-space over a finite field, Ann.

Randomly piercing algebraic sets Barańczuk,Reducing the number of equations defining a subset of then-space over a finite field, Ann

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b70e9c35-2239-4020-bc07-bd00e0109cf2 · outbound

This paper cites Bourgain,Ruzsa’s problem on sets of recurrence, Israel J.

Randomly piercing algebraic sets Bourgain,Ruzsa’s problem on sets of recurrence, Israel J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6edb179-251e-45a7-a2f4-fc888cbb16e9 · outbound

This paper cites Briët,Subspaces of tensors with high analytic rank, Online J.

Randomly piercing algebraic sets Briët,Subspaces of tensors with high analytic rank, Online J

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6cbad554-57b2-4a6a-8c0c-729eba78e1d2 · outbound

This paper cites Briët and D.

Randomly piercing algebraic sets Briët and D

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c04d1790-408e-4076-b87f-8a976d18154a · outbound

This paper cites Briët, Z.

Randomly piercing algebraic sets Briët, Z

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 823463f6-27f3-4db8-a200-1cd2c8c9e9cd · outbound

This paper cites Briët and B.

Randomly piercing algebraic sets Briët and B

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe738835-23d3-40e4-b068-80e92b2fa8c1 · outbound

This paper cites Briët and F.

Randomly piercing algebraic sets Briët and F

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc265835-c878-44b3-8621-b3925d6713c1 · outbound

This paper cites On random multilinear operator inequalities.

Randomly piercing algebraic sets On random multilinear operator inequalities

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-07-04T05:19:34.845170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9f8a8d7c-12bc-4ca2-8211-e661641caf19 · outbound

This paper cites Erdős and A.

Randomly piercing algebraic sets Erdős and A

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f291958e-0b29-4955-9949-bf2f5b4618df · outbound

This paper cites Frantzikinakis, E.

Randomly piercing algebraic sets Frantzikinakis, E

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2d637f2-866a-45bb-8f7d-36a5b382e9b9 · outbound

This paper cites an unresolved cited work.

Randomly piercing algebraic sets Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e25332e9-10b1-4eee-8c8a-acf29b80fc25 · outbound

This paper cites Lidl and H.

Randomly piercing algebraic sets Lidl and H

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 842ec8c8-ea7e-49c3-aed1-bc99f1ee97b2 · outbound

This paper cites Lovett,The analytic rank of tensors and its applications, Discrete Anal.

Randomly piercing algebraic sets Lovett,The analytic rank of tensors and its applications, Discrete Anal

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f24f2301-780b-4277-a525-805d764325da · outbound

This paper cites Quasi-linear relation between partition and analytic rank.

Randomly piercing algebraic sets Quasi-linear relation between partition and analytic rank

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-04T05:19:34.842396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b09d4dab-fb11-46c1-a064-d81b684ae5e4 · outbound

This paper cites an unresolved cited work.

Randomly piercing algebraic sets Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08d66f03-25a7-4c1f-aa0f-b85e5458c306 · outbound

This paper cites Tung,Coloring sparse random Cayley graphs, in preparation.

Randomly piercing algebraic sets Tung,Coloring sparse random Cayley graphs, in preparation

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b40a04b-5941-4cbd-ad3a-36842a8ed0da · outbound

This paper cites Zheng,A note on lower bounds in Szemerédi’s theorem with random differences, Ramanujan J.69 (2026), no.

Randomly piercing algebraic sets Zheng,A note on lower bounds in Szemerédi’s theorem with random differences, Ramanujan J.69 (2026), no

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T16:11:15.281337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation b58ac70b-10f7-4abb-9ad5-adb9bcf258a9 · inbound

Coloring sparse random Cayley graphs cites this paper.

Coloring sparse random Cayley graphs Randomly piercing algebraic sets

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-07-04T11:39:46.802220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.