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Paper Citation Record · LEDGER

The Fermat curves, arrangements of lines, and intersections of osculating curves

As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2412.16993.

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

pith.paper-citation-record.v1
2412.16993 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T06:03:33.571786Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:41:38.008068Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T10:41:38.571024Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 928c89af-f637-4fd4-a7c4-f69847177bc2 · outbound

This paper cites A new hierarchy for complex plane curves, 2024.

The Fermat curves, arrangements of lines, and intersections of osculating curves A new hierarchy for complex plane curves, 2024

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:34.171216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.488932Z digest=sha256:23cca92661159a2a36b04f8b819adf01c13e8b305a1bd91162a7413c008cf8e6

Observation 723d933b-28e5-4570-a1fa-0d38f14552c4 · outbound

This paper cites On the conic of five-pointic contact at any point o f a plane curve.

The Fermat curves, arrangements of lines, and intersections of osculating curves On the conic of five-pointic contact at any point o f a plane curve

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:34.079361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.522390Z digest=sha256:4a4f386be0afddb34f05f79043d8ca0600fee993682c8ca96b0749b53605c875

Observation 5976a5a8-4385-4620-ada8-ed67543238e1 · outbound

This paper cites On the sextactic points of a plane curve.

The Fermat curves, arrangements of lines, and intersections of osculating curves On the sextactic points of a plane curve

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.986034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.526206Z digest=sha256:89ccec07b5f735407f205d4494d5f39b40fea44f8f80c00682621f00bdb01213

Observation 77f60750-6422-4b81-83d4-be42f8f1aac4 · outbound

This paper cites Freeness versus maximal global Tjurina numbe r for plane curves.

The Fermat curves, arrangements of lines, and intersections of osculating curves Freeness versus maximal global Tjurina numbe r for plane curves

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.975916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.530176Z digest=sha256:7f1b502fef70dd08c861fbb1e78caf110256aa449b1880010622d2e3ed3f7ee5

Observation 3b9bb52a-86a7-4b4b-ac15-fc3128182f37 · outbound

This paper cites On free curves and related open problems.

The Fermat curves, arrangements of lines, and intersections of osculating curves On free curves and related open problems

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.965654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.534097Z digest=sha256:f20340dfc75341bdc3db5f82b5447f7ac604aab854b6249469e3df7d386bc416

Observation 5b707732-8b00-4d0f-83af-1a32406b5b9c · outbound

This paper cites Construction of Free Curves by Adding Osculating Conics to a Given Cubic Curve.

The Fermat curves, arrangements of lines, and intersections of osculating curves Construction of Free Curves by Adding Osculating Conics to a Given Cubic Curve

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.955753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.538079Z digest=sha256:25adce0017c0816bdd37b9493858f5d678017aeeb2b518bf9178e825fd891478

Observation f30b759a-c226-4f62-a5b5-baa41bc41a14 · outbound

This paper cites Construction of free curves by adding lines to a given curve.

The Fermat curves, arrangements of lines, and intersections of osculating curves Construction of free curves by adding lines to a given curve

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.945959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.541492Z digest=sha256:ea3a78942f0a13acd7792346410a583490879250c34dbdff92a529c5e989e89a

Observation e502290c-40f5-4525-97ea-e52c80f4a8fa · outbound

This paper cites Triangular arrangements onthe project- ive plane.

The Fermat curves, arrangements of lines, and intersections of osculating curves Triangular arrangements onthe project- ive plane

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.935235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.545106Z digest=sha256:9dc9455cfb012124855fc5ab7923b4e9fa126922c35db9a0df8359e6e0b67401

Observation 9aade8e5-22ee-444c-a3b4-a545d1b3d8d1 · outbound

This paper cites The 2-He ssian and sextactic points on plane algebraic curves.

The Fermat curves, arrangements of lines, and intersections of osculating curves The 2-He ssian and sextactic points on plane algebraic curves

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.924096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.549199Z digest=sha256:ff0f0f88563eccccfcfc1728e22aaba51afe321c48e75c04df6eafda9afe49ee

Observation b440cd8d-0d34-4bf3-bdf2-29c058f5a4fc · outbound

This paper cites On quartics with the maximal number of the maximal tangency lines, 2024.

The Fermat curves, arrangements of lines, and intersections of osculating curves On quartics with the maximal number of the maximal tangency lines, 2024

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.914331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.553088Z digest=sha256:c8c608fcbe0949ad765772fabe4eef72a0fd4c4a7366e82fbd922bce9146e378

Observation 1310336f-79df-4233-b4fc-38ff24d070b5 · outbound

This paper cites Sextactic and type-9 points on the Fermat cubic and associated objects.

The Fermat curves, arrangements of lines, and intersections of osculating curves Sextactic and type-9 points on the Fermat cubic and associated objects

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.867247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.556605Z digest=sha256:61ebcbfbe014a2fabb1edf23c511d6a234628bb135263b51f28e3f0230d57bdb

Observation 24fa7a78-17fa-4ca3-9ef3-2838a893115e · outbound

This paper cites On Fermat curves and maximal nodal curves.

The Fermat curves, arrangements of lines, and intersections of osculating curves On Fermat curves and maximal nodal curves

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.734762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.559812Z digest=sha256:2b654942212df72cc6cd1db845793129b092462bff62995f4c88acb8778a8d00

Observation 4e8fe756-1ef0-4e63-aca4-b638ac25390e · outbound

This paper cites Rohrlich.

The Fermat curves, arrangements of lines, and intersections of osculating curves Rohrlich

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.633271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.562957Z digest=sha256:69a31507ed042a5732be8a3cfd906a9d5e046885fc649f78b299589c316abd22

Observation 457e05f7-ce0b-472e-82aa-07c9388cfb08 · outbound

This paper cites Sextactic points on th e Fermat cubic curve and arrangements of conics.

The Fermat curves, arrangements of lines, and intersections of osculating curves Sextactic points on th e Fermat cubic curve and arrangements of conics

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.621665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.566098Z digest=sha256:e77eb3954fef74eba4c89f174b72fa3498bed411eb65d343409eac3b26d17e19

Observation ff82efea-e0ef-476e-a59e-393884d10e9d · outbound

This paper cites The group of automorphisms of the Fermat cu rve.

The Fermat curves, arrangements of lines, and intersections of osculating curves The group of automorphisms of the Fermat cu rve

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.610966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.569294Z digest=sha256:ce9af5953dad6aba9e866aa41387daef8a7c2cb7443f1f7da4ade6a2fdf4f5f0

Observation 5287afd6-b203-4209-b40c-d96f309ba05c · outbound

This paper cites Weierstrass points of the Fermat curve.

The Fermat curves, arrangements of lines, and intersections of osculating curves Weierstrass points of the Fermat curve

Reference 16

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verified fuzzy
raw_fallback, observed 2026-08-11T06:03:33.601106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T06:03:33.571786Z digest=sha256:615ca49fd06f568663a4ae6822f765a7c882683b5c9ba9f0f0094407d65e5bbb

Pith citing papers

Observation 6164125f-3bc8-48e0-b8c6-d1d7ce79d030 · inbound

The Hesse pencil of plane curves and osculating conics cites this paper.

The Hesse pencil of plane curves and osculating conics The Fermat curves, arrangements of lines, and intersections of osculating curves

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:41:38.663180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T10:41:38.008068Z digest=sha256:678a050e6731c3af0b2e1c49d7c5005fa3c4dd7a940b48c6f8b52b7e0b977d68