Paper Citation Record · LEDGER

First-order definitions of rings of integral functions over algebraic extensions of function fields and undecidability

As of 13 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2411.14960.

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

pith.paper-citation-record.v1
2411.14960 v2

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:51:18.639499Z

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

7 of 7 outbound references displayed

verified exact0
verified fuzzy3
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2a8b633b-9cc5-4c15-a9bc-ca326b00d018 · outbound

This paper cites an unresolved cited work.

First-order definitions of rings of integral functions over algebraic extensions of function fields and undecidability Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:51:18.788710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2fe05055-cf6d-4e0f-b6b8-696dfc7dc6f3 · outbound

This paper cites Undecidability of infinite algebraic extensions of $\mathbb{F}_p(t)$.

First-order definitions of rings of integral functions over algebraic extensions of function fields and undecidability Undecidability of infinite algebraic extensions of $\mathbb{F}_p(t)$

Reference 50

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T14:51:18.707414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a40eb5f4-9b04-4e56-a116-da32a1c87a17 · outbound

This paper cites Videla, Hilbert’s tenth problem for rational function ﬁelds in char acteristic 2, Proc.

First-order definitions of rings of integral functions over algebraic extensions of function fields and undecidability Videla, Hilbert’s tenth problem for rational function ﬁelds in char acteristic 2, Proc

Reference 108

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:51:18.723879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e97935ab-e47a-4667-a6cf-c0ffde768051 · outbound

This paper cites an unresolved cited work.

First-order definitions of rings of integral functions over algebraic extensions of function fields and undecidability Unresolved cited work

Reference 171

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:51:18.739130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aaea65f6-7335-49a2-acca-8756f476ccee · outbound

This paper cites Reine Angew.

First-order definitions of rings of integral functions over algebraic extensions of function fields and undecidability Reine Angew

Reference 1994

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:51:18.754628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation da0b4833-4d6f-4f03-96bd-a2d94bc2ac37 · outbound

This paper cites On definitions of polynomials over function fields of positive characteristi.

First-order definitions of rings of integral functions over algebraic extensions of function fields and undecidability On definitions of polynomials over function fields of positive characteristi

Reference 2007

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T14:51:18.684613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0990167c-6153-4c17-a94a-9cc88644958a · outbound

This paper cites MR4647281 ↑1, 2, 28 [GFP20] Natalia Garcia-Fritz and Hector Pasten, Towards Hilbert’s tenth problem for rings of integers throu gh Iwasawa theory and Heegner points , Math.

First-order definitions of rings of integral functions over algebraic extensions of function fields and undecidability MR4647281 ↑1, 2, 28 [GFP20] Natalia Garcia-Fritz and Hector Pasten, Towards Hilbert’s tenth problem for rings of integers throu gh Iwasawa theory and Heegner points , Math

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:51:18.772385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.