Paper Citation Record · LEDGER

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci

As of 8 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2608.06273.

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

pith.paper-citation-record.v1
2608.06273 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:09:37.435596Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

23 of 23 outbound references displayed

verified exact9
verified fuzzy1
unresolved11
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9dae1d71-c059-41ae-a88f-0d876dbdbe0e · outbound

This paper cites Bertini theorems for Hilbert-Samuel multiplicity over finite fields.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Bertini theorems for Hilbert-Samuel multiplicity over finite fields

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:09:39.109369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 90783236-2b82-4d1d-ab4b-96dd3154a7f5 · outbound

This paper cites Hypersurfaces passing through the Galois orbit of a point.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Hypersurfaces passing through the Galois orbit of a point

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:09:38.957426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0457ee95-884d-40df-863f-5b039aabc442 · outbound

This paper cites Taylor conditions over finite fields.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Taylor conditions over finite fields

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T11:09:35.705733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fdc8532-dd00-4b93-ac9f-5ed7b702f5a7 · outbound

This paper cites Bilu and S.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Bilu and S

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T11:09:35.783565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08044e1b-3874-40ad-b28c-0437249d06ec · outbound

This paper cites Bucur and K.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Bucur and K

Reference 5

Resolution: verified exact; doi, observed 2026-08-07T11:09:38.369009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0d0d7ca7-d0d6-45f9-8057-f1009b6a2091 · outbound

This paper cites Charles and B.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Charles and B

Reference 6

Resolution: malformed identifier; no resolver link, observed 2026-08-07T11:09:35.913037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcb6e7b3-28a5-4e1c-819a-37d655cedbd1 · outbound

This paper cites Erman and M.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Erman and M

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-07T11:09:35.994587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cfb6198f-239b-4936-8674-ec781a3610f1 · outbound

This paper cites Grothendieck and J.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Grothendieck and J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:09:39.389394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 46a223d4-caac-473e-a5cf-20615face554 · outbound

This paper cites Gunther,Random hypersurfaces and embedding curves in surfaces over finite fields, J.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Gunther,Random hypersurfaces and embedding curves in surfaces over finite fields, J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T11:09:36.209703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f282d02a-c109-430f-9e20-0f93675365be · outbound

This paper cites Kmentt and A.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Kmentt and A

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T11:09:36.291625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23a8624e-6dee-4b3b-b49c-6034f2361326 · outbound

This paper cites Lidl and H.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Lidl and H

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T11:09:36.387464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cfd0ab7a-45a5-4365-8ce3-dca7700b7e78 · outbound

This paper cites Lindner,Hypersurfaces with defect, J.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Lindner,Hypersurfaces with defect, J

Reference 12

Resolution: verified exact; doi, observed 2026-08-07T11:09:38.161914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8689e1a7-b7c2-408b-8f07-b09241f089f0 · outbound

This paper cites Poonen,Bertini theorems over finite fields, Ann.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Poonen,Bertini theorems over finite fields, Ann

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T11:09:36.535556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e544e6aa-0b38-4d7c-a38f-effb7f9faa80 · outbound

This paper cites Poonen,Sieve methods for varieties over finite fields and arithmetic schemes, J.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Poonen,Sieve methods for varieties over finite fields and arithmetic schemes, J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T11:09:36.645829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21b05a9f-a4b3-4390-bd1a-7086214a4792 · outbound

This paper cites Poonen,Smooth hypersurface sections containing a given subscheme over a finite field, Math.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Poonen,Smooth hypersurface sections containing a given subscheme over a finite field, Math

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T11:09:36.740932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 082a9d51-181c-42f5-b5cc-fd80ac60c92e · outbound

This paper cites Poonen and K.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Poonen and K

Reference 16

Resolution: verified exact; doi, observed 2026-08-07T11:09:37.984582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 342541ba-2384-4843-90d4-2f25e581e342 · outbound

This paper cites Poonen and M.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Poonen and M

Reference 17

Resolution: verified exact; raw_fallback, observed 2026-08-07T11:09:38.726328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 115da46a-f859-4030-9176-5dbc7c64ee48 · outbound

This paper cites Slavov,The moduli space of hypersurfaces whose singular locus has high dimension, Math.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Slavov,The moduli space of hypersurfaces whose singular locus has high dimension, Math

Reference 18

Resolution: verified exact; doi, observed 2026-08-07T11:09:37.776314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 720f7b45-aea6-4fa0-9087-41c6318e17cc · outbound

This paper cites an unresolved cited work.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:09:39.235286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 13129c82-8496-48ba-ab7c-eeba31fcbb10 · outbound

This paper cites an unresolved cited work.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-08-07T11:09:37.618907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 68e7b9d1-87f5-4571-9124-105c19ea8977 · outbound

This paper cites Wang,On the Bertini regularity theorem for arithmetic varieties, J.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Wang,On the Bertini regularity theorem for arithmetic varieties, J

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T11:09:37.264504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 937ec949-9e88-44f9-9fc3-e2822aa90848 · outbound

This paper cites Bertini theorems for hypersurface sections containing a subscheme over finite fields.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Bertini theorems for hypersurface sections containing a subscheme over finite fields

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T11:09:37.365408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3aa37c3e-c395-48ed-b9d5-f17e5cafc916 · outbound

This paper cites Hyperplane anti-Bertini embeddings over finite fields.

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci Hyperplane anti-Bertini embeddings over finite fields

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:09:38.499475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.