Paper Citation Record · LEDGER

Quadratically Enriched Plane Curve Counting via Tropical Geometry

As of 11 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 2 inbound Pith citation observations for arXiv:2502.02569.

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

pith.paper-citation-record.v1
2502.02569 v4

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T11:47:42.534546Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T11:36:24.450687Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T07:57:44.512522Z

Reference resolution

43 of 43 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation df6e2c7e-7b61-4379-84c0-5fdb3c2e7415 · outbound

This paper cites u lya Arg\.

Quadratically Enriched Plane Curve Counting via Tropical Geometry u lya Arg\

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.501676Z

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Observation fdbcb9ec-b5f3-4a4e-854c-25d2dd13cb29 · outbound

This paper cites Stable logarithmic maps to D eligne- F altings pairs II.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Stable logarithmic maps to D eligne- F altings pairs II

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.495027Z

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Observation 005d1324-6b0a-4cb9-9df8-532024f1143e · outbound

This paper cites First Steps in Tropical Intersection Theory.

Quadratically Enriched Plane Curve Counting via Tropical Geometry First Steps in Tropical Intersection Theory

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-09T11:47:43.303356Z

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Observation 853e8287-d512-484d-a3d2-ca4b49def107 · outbound

This paper cites Billera, Susan P.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Billera, Susan P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.487876Z

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Observation c526deae-912e-49b3-8dad-3c32e43a1af2 · outbound

This paper cites Polynomiality properties of tropical refined invariants.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Polynomiality properties of tropical refined invariants

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.481794Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 39e87c66-a7c7-471c-ab58-677e21ad6a82 · outbound

This paper cites Floor decompositions of tropical curves : the planar case.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Floor decompositions of tropical curves : the planar case

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-09T11:47:42.434882Z

Source-reported events for the cited work

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Observation fe7b83ca-4dba-497a-87ba-c01125ebb555 · outbound

This paper cites Floor diagrams relative to a conic, and GW - W invariants of del P ezzo surfaces.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Floor diagrams relative to a conic, and GW - W invariants of del P ezzo surfaces

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.475624Z

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Observation a9498448-5667-463f-a0d4-634c6042b83d · outbound

This paper cites A bit of tropical geometry.

Quadratically Enriched Plane Curve Counting via Tropical Geometry A bit of tropical geometry

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.468539Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 10bc037e-d46d-4cc5-a1ee-10f77881a147 · outbound

This paper cites Tropical and Logarithmic Methods in Enumerative Geometry , volume 52 of Oberwolfach Seminars.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Tropical and Logarithmic Methods in Enumerative Geometry , volume 52 of Oberwolfach Seminars

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.461454Z

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Observation f13e7756-d6f9-4147-ba52-b7aa7aff4c55 · outbound

This paper cites Topological properties of real algebraic varieties: du c\^ot\'e de chez Rokhlin.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Topological properties of real algebraic varieties: du c\^ot\'e de chez Rokhlin

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-09T11:47:43.287891Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f2f090af-85b2-4e70-bb7f-3539f73713cc · outbound

This paper cites Labeled floor diagrams for plane curves.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Labeled floor diagrams for plane curves

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-09T11:47:43.278825Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6ef3f404-20cd-47ff-9949-f13a8a75a7d5 · outbound

This paper cites Tropical fans and the moduli spaces of tropical curves.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Tropical fans and the moduli spaces of tropical curves

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-09T11:47:43.269262Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 73a0a09a-b4a8-4bc0-9c9d-7f2d0af535e7 · outbound

This paper cites Kontsevich's formula and the WDVV equations in tropical geometry.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Kontsevich's formula and the WDVV equations in tropical geometry

Reference 13

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-09T11:47:43.260025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1dc16b0a-7fab-4e77-9a46-f565692a8660 · outbound

This paper cites Cohomological invariants in Galois cohomology , volume 28 of Univ.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Cohomological invariants in Galois cohomology , volume 28 of Univ

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.454604Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4ce02fb3-351e-4d76-bfb6-cc7360200f4d · outbound

This paper cites Correspondence theorems via tropicalizations of moduli spaces.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Correspondence theorems via tropicalizations of moduli spaces

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.447377Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 12feea34-09f1-464f-8215-3a2141bd2f50 · outbound

This paper cites Logarithmic G romov- W itten invariants.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Logarithmic G romov- W itten invariants

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.440396Z

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Observation f77e75e1-ea83-46d4-83fa-156cfb015ad7 · outbound

This paper cites Welschinger invariant and enumeration of real rational curves.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Welschinger invariant and enumeration of real rational curves

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.433062Z

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Observation f527bd95-3ae5-41ee-8987-f9fe7b924702 · outbound

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Quadratically Enriched Plane Curve Counting via Tropical Geometry Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-09T11:47:43.425926Z

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Observation b10f2a3b-9c8b-4cb0-a91b-16d978d1601e · outbound

This paper cites A C aporaso- H arris type formula for W elschinger invariants of real toric del P ezzo surfaces.

Quadratically Enriched Plane Curve Counting via Tropical Geometry A C aporaso- H arris type formula for W elschinger invariants of real toric del P ezzo surfaces

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.418929Z

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Observation 500d6afa-0f92-4078-a17f-75a3d41e3db1 · outbound

This paper cites Tropical algebraic geometry , volume 35 of Oberwolfach Seminars.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Tropical algebraic geometry , volume 35 of Oberwolfach Seminars

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.411754Z

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Observation e4b7fbd1-c426-4cfd-8955-7e48bcd4a506 · outbound

This paper cites A Wall Crossing Formula for Motivic Enumerative Invariants.

Quadratically Enriched Plane Curve Counting via Tropical Geometry A Wall Crossing Formula for Motivic Enumerative Invariants

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-09T11:47:43.056077Z

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Observation 8d6c5f6f-70ec-413e-bd61-bfcbac19ea18 · outbound

This paper cites Arithmetic Counts of Tropical Plane Curves and Their Properties.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Arithmetic Counts of Tropical Plane Curves and Their Properties

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-09T11:47:43.046047Z

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Observation 84afb8fd-5baf-4032-b8b5-a32687a890fb · outbound

This paper cites Quadratically Enriched Tropical Intersections.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Quadratically Enriched Tropical Intersections

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-09T11:47:43.035964Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bbc8a31b-e126-4603-ab32-03f673109127 · outbound

This paper cites A Quadratically Enriched Correspondence Theorem.

Quadratically Enriched Plane Curve Counting via Tropical Geometry A Quadratically Enriched Correspondence Theorem

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-09T11:47:43.025108Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation aabc718f-b31f-4099-beaf-203b63dfd5db · outbound

This paper cites Solomon, and Kirsten Wickelgren.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Solomon, and Kirsten Wickelgren

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.404743Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 66407405-21c6-4234-8060-bd9ff96282f0 · outbound

This paper cites Solomon, and Kirsten Wickelgren.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Solomon, and Kirsten Wickelgren

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.397523Z

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Observation 4dcbbdc6-759b-40bb-a156-4c6dcee21698 · outbound

This paper cites Gromov-Witten classes, quantum cohomology and enumerative geometry.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Gromov-Witten classes, quantum cohomology and enumerative geometry

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.390672Z

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Observation 0abc73dd-b3b4-40d9-95fd-8ebcfc53c0be · outbound

This paper cites Toward an algebraic theory of Welschinger invariants.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Toward an algebraic theory of Welschinger invariants

Reference 28

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Source-reported events for the cited work

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Observation 30171388-48bb-40c2-b2be-70606c374e0f · outbound

This paper cites The enumeration of plane tropical curves.

Quadratically Enriched Plane Curve Counting via Tropical Geometry The enumeration of plane tropical curves

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.383648Z

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Observation 99f81e58-8360-4484-82a0-06122afd14b7 · outbound

This paper cites Enumerative tropical geometry in R ^2.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Enumerative tropical geometry in R ^2

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.376088Z

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Observation cd852ea6-ae46-4c6e-abaa-3721e594c515 · outbound

This paper cites Bitangents to plane quartics via tropical geometry: rationality, A ^1 -enumeration, and real signed count.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Bitangents to plane quartics via tropical geometry: rationality, A ^1 -enumeration, and real signed count

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.368966Z

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Observation 6e1be6a1-9dd3-4520-a833-f32e4adbd333 · outbound

This paper cites Descendant log G romov- W itten invariants for toric varieties and tropical curves.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Descendant log G romov- W itten invariants for toric varieties and tropical curves

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.361596Z

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Observation a073fc1f-c2e6-405b-a069-506f7c95fd9a · outbound

This paper cites Toric degenerations of toric varieties and tropical curves.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Toric degenerations of toric varieties and tropical curves

Reference 33

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-09T11:47:43.007309Z

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Observation c2c7dc55-805b-42c9-a9be-eb9882e4c174 · outbound

This paper cites Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-09T11:47:42.862831Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 000bceb0-7cf5-49c1-b108-c8e69440c468 · outbound

This paper cites Skeletons of stable maps I : rational curves in toric varieties.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Skeletons of stable maps I : rational curves in toric varieties

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.353744Z

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Observation 6b12ca39-0a13-46c3-9cb7-43ef1e09d546 · outbound

This paper cites First steps in tropical geometry.

Quadratically Enriched Plane Curve Counting via Tropical Geometry First steps in tropical geometry

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.345465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 58c29180-6671-45b5-837c-2316aaa0a7f0 · outbound

This paper cites A tropical approach to enumerative geometry.

Quadratically Enriched Plane Curve Counting via Tropical Geometry A tropical approach to enumerative geometry

Reference 37

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-09T11:47:42.851279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9c76fc84-6834-4e99-ae27-aa8f3e799b9a · outbound

This paper cites A tropical calculation of the Welschinger invariants of real toric Del Pezzo surfaces.

Quadratically Enriched Plane Curve Counting via Tropical Geometry A tropical calculation of the Welschinger invariants of real toric Del Pezzo surfaces

Reference 38

Resolution: verified exact; raw_fallback, observed 2026-08-09T11:47:42.679170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8d1fa0b9-46d5-40f8-87df-b755c8ddcd89 · outbound

This paper cites The tropical Grassmannian.

Quadratically Enriched Plane Curve Counting via Tropical Geometry The tropical Grassmannian

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.337815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation eb70d6ce-3f46-43cb-8438-d08aa031bc21 · outbound

This paper cites Tropical geometry and correspondence theorems via toric stacks.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Tropical geometry and correspondence theorems via toric stacks

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.330169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bbaf22e9-72ec-4b5c-be7c-0b0309ec9b86 · outbound

This paper cites an unresolved cited work.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-09T11:47:43.322584Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1d90049f-c925-474f-b3ed-23aefc58c1eb · outbound

This paper cites Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:47:43.315055Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6eec5b23-a2ff-4b96-8c29-27f955ba2ab8 · outbound

This paper cites Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry.

Quadratically Enriched Plane Curve Counting via Tropical Geometry Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-09T11:47:42.534546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 11244388-2b25-45ba-a4c0-7333cc7b3882 · inbound

Merge-position invariance in quadratically enriched tropical floor diagrams cites this paper.

Merge-position invariance in quadratically enriched tropical floor diagrams Quadratically Enriched Plane Curve Counting via Tropical Geometry

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-07-01T02:17:15.494223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 00779f0d-338e-4c28-bf22-40a157eaaa43 · inbound

PCMI lecture notes: Motivic explorations in enumerative geometry cites this paper.

PCMI lecture notes: Motivic explorations in enumerative geometry Quadratically Enriched Plane Curve Counting via Tropical Geometry

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-07-03T07:57:44.513841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.