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Paper Citation Record · LEDGER

Contact Invariants for Plane Curves in a Pencil

As of 20 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 1 inbound Pith citation observation for arXiv:2605.27623.

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

pith.paper-citation-record.v1
2605.27623 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T15:06:12.142186Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:40:08.472746Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T15:40:08.580641Z

Reference resolution

9 of 9 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d32ca001-d2b7-433a-938e-3836a3749cca · outbound

This paper cites Arbarello , M.

Contact Invariants for Plane Curves in a Pencil Arbarello , M

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-29T15:06:12.142186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T15:06:12.142186Z digest=sha256:47b1ec8d9d556d5efec90fa8d53e3137524fc861013b9d6afe247bcc7244baba

Observation 086ae1dc-4ae7-4b9e-b14a-56caee23166b · outbound

This paper cites Eisenbud and J.

Contact Invariants for Plane Curves in a Pencil Eisenbud and J

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-29T15:06:12.142186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T15:06:12.142186Z digest=sha256:27586463a52def87c67c956f80999271b930fb44044dffa9a8f16263e72f55b0

Observation fc21def8-caa2-4882-894a-37d792a39181 · outbound

This paper cites Enriques: Le superficie algebriche Nicola Zanichelli, Bologna 1949.

Contact Invariants for Plane Curves in a Pencil Enriques: Le superficie algebriche Nicola Zanichelli, Bologna 1949

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-29T15:06:12.142186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T15:06:12.142186Z digest=sha256:323ae52b3cc653050d6e80d2385366a8e3391bae1d8fe7100876966cdbf879f9

Observation 9949aab8-dd1c-49e2-be06-46511984b179 · outbound

This paper cites The Hesse curve of a Lefschtz pencil of plane curves.

Contact Invariants for Plane Curves in a Pencil The Hesse curve of a Lefschtz pencil of plane curves

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-06-29T15:13:31.584318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-29T15:06:12.142186Z digest=sha256:ff09a3b245ffe0baa08bd6ce8dddf52c7c4335d7ee73ec76f539c35bf9e1200f

Observation 4e9bb834-773f-4f43-8e90-02c164876bc4 · outbound

This paper cites Iversen: Numerical invariants and multiple planes.

Contact Invariants for Plane Curves in a Pencil Iversen: Numerical invariants and multiple planes

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-29T15:06:12.142186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T15:06:12.142186Z digest=sha256:a350f0466b7e04cd1dbd7125fd97bf90a91b4b0d4063fb042a8e24ca04c048e3

Observation 2d8fabb3-f54e-4915-8c22-5bc8f05188b7 · outbound

This paper cites Oberdieck: Number of tritangents in a pencil of degree d plane curves, 2019, https://api.semanticscholar.org/CorpusID:221697664.

Contact Invariants for Plane Curves in a Pencil Oberdieck: Number of tritangents in a pencil of degree d plane curves, 2019, https://api.semanticscholar.org/CorpusID:221697664

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-29T15:06:12.142186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T15:06:12.142186Z digest=sha256:42eae8ddba91bcb9646994ae487b182a625ea79cfc3368e8c7aacd91d582c705

Observation 9a079944-1159-4cbc-8869-1d22983b0cdc · outbound

This paper cites Enriques, O.

Contact Invariants for Plane Curves in a Pencil Enriques, O

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-29T15:06:12.142186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T15:06:12.142186Z digest=sha256:12946c88fd411f84f8f00455fca20a910ba1978e214f2f4deb3d33514bb5cb2e

Observation ff0e13cf-41e3-4bb1-a93b-43735870b05b · outbound

This paper cites Griffiths, J.

Contact Invariants for Plane Curves in a Pencil Griffiths, J

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-29T15:06:12.142186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T15:06:12.142186Z digest=sha256:10d20ea3e8160cb77a820406d9c13ee332bbc95ff614e78a3503f1d15fda2115

Observation 7e752873-772e-42e5-9233-675eda5bb2fd · outbound

This paper cites Salmon, A treatise on the higher plane curves: intended as a sequel to ``A treatise on conic sections''.

Contact Invariants for Plane Curves in a Pencil Salmon, A treatise on the higher plane curves: intended as a sequel to ``A treatise on conic sections''

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-29T15:06:12.142186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T15:06:12.142186Z digest=sha256:df4b2a405653b61a460d621ffbbc087d87a500b16a1462646ac351a4c8b01f9f

Pith citing papers

Observation 7c86c52b-8d71-4cd6-b9d9-7e906bbd3ed8 · inbound

Twelve common flex lines in a general pencil of cubics cites this paper.

Twelve common flex lines in a general pencil of cubics Contact Invariants for Plane Curves in a Pencil

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:40:08.586200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:40:08.472746Z digest=sha256:1083daa41aab5b19c44790ac0592df720b5fe194f359b93c6c6232a36762fcc4