Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T10:27:41.491949Z
Paper Citation Record · LEDGER
Welschinger--Witt invariants
As of 8 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2509.04172.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
36 of 36 outbound references displayed
- verified exact3
- verified fuzzy24
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b3babd2c-cdaf-4a91-921d-8b83da0feb4d · outbound
This paper cites Recursive formula for W elschinger invariants.
Welschinger--Witt invariants Recursive formula for W elschinger invariants
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.960929Z
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 0c5c01c7-1631-484a-ae1b-e24ede26aa7e · outbound
This paper cites Stable maps and H urwitz schemes in mixed characteristics.
Welschinger--Witt invariants Stable maps and H urwitz schemes in mixed characteristics
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.952613Z
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 1bd0137f-fc51-4085-9655-6e8c5cdbb415 · outbound
This paper cites Gromov-- W itten invariants in algebraic geometry.
Welschinger--Witt invariants Gromov-- W itten invariants in algebraic geometry
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.944180Z
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 de0ca02d-72e6-423d-93bd-27e5ecf733d3 · outbound
This paper cites Pencils of quadrics and G romov- W itten- W elschinger invariants of C P ^3.
Welschinger--Witt invariants Pencils of quadrics and G romov- W itten- W elschinger invariants of C P ^3
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.934945Z
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 fd0ef118-4145-4252-9946-ea90d8c6e8df · outbound
This paper cites Rational curves on del pezzo surfaces in positive characteristic.
Welschinger--Witt invariants Rational curves on del pezzo surfaces in positive characteristic
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.926242Z
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 c65f9a73-695e-424a-87e3-5f89190c25b4 · outbound
This paper cites Stacks of stable maps and G romov-- W itten invariants.
Welschinger--Witt invariants Stacks of stable maps and G romov-- W itten invariants
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.917174Z
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 39006c96-9a71-4b3e-bb44-dfa4242e83df · outbound
This paper cites okova geometry-topology conference, G\.
Welschinger--Witt invariants okova geometry-topology conference, G\
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.908845Z
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 fa561612-f3c8-4a1e-9a7e-da3e406564ec · outbound
This paper cites Éléments de mathématique, 2,9: Algebre, Chapitre 9, Formes sesquilineares et formes quadratiques.
Welschinger--Witt invariants Éléments de mathématique, 2,9: Algebre, Chapitre 9, Formes sesquilineares et formes quadratiques
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.900007Z
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 17592de2-63df-4dc4-9f74-e07a55055c14 · outbound
This paper cites Surgery of real symplectic fourfolds and Welschinger invariants.
Welschinger--Witt invariants Surgery of real symplectic fourfolds and Welschinger invariants
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.891464Z
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 753e3489-ea35-45eb-baa9-e186c492c553 · outbound
This paper cites On the invariance of W elschinger invariants.
Welschinger--Witt invariants On the invariance of W elschinger invariants
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.882270Z
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 853c3536-c796-4672-a44e-f901f7a75f68 · outbound
This paper cites A quadratic Abramovich-Bertram formula.
Welschinger--Witt invariants A quadratic Abramovich-Bertram formula
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T10:27:41.702856Z
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 e3d74e87-3053-4f70-a69b-de7adacfb1db · outbound
This paper cites WDVV -type relations for Welschinger invariants: applications.
Welschinger--Witt invariants WDVV -type relations for Welschinger invariants: applications
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.873530Z
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 b32d6f7d-3dbd-4d08-b17e-dbebba9f7e04 · outbound
This paper cites Welschinger invariants of blow-ups of symplectic 4-manifolds.
Welschinger--Witt invariants Welschinger invariants of blow-ups of symplectic 4-manifolds
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.864153Z
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 5177ee3b-c75e-4ed3-81be-ebcd0d3374d6 · outbound
This paper cites Cohomological invariants in G alois cohomology , volume 28 of University Lecture Series.
Welschinger--Witt invariants Cohomological invariants in G alois cohomology , volume 28 of University Lecture Series
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.854293Z
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 65874638-53ac-442f-a9c7-10ebc2127171 · outbound
This paper cites Revêtements étales et groupe fondamental.
Welschinger--Witt invariants Revêtements étales et groupe fondamental
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.844725Z
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 a8150ec8-beb4-4e14-81cd-b04ca7d00a56 · outbound
This paper cites an unresolved cited work.
Welschinger--Witt invariants Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:27:41.835174Z
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 6f04ca44-d5c4-48d2-900e-9804d13b0087 · outbound
This paper cites Quadratically enriched plane curve counting via tropical geometry.
Welschinger--Witt invariants Quadratically enriched plane curve counting via tropical geometry
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.825994Z
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 ed0fbc4c-7837-407c-9f74-3fe0edfd21ff · outbound
This paper cites an unresolved cited work.
Welschinger--Witt invariants Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:27:41.815859Z
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 37899b48-5a65-4a16-9c08-cb18d84871cb · outbound
This paper cites an unresolved cited work.
Welschinger--Witt invariants Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:27:41.806497Z
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 3d8e2f59-1500-40da-a68e-accbbd44c7d3 · outbound
This paper cites Solomon, and Kirsten Wickelgren.
Welschinger--Witt invariants Solomon, and Kirsten Wickelgren
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T10:27:41.444683Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e986079a-2718-4b6c-ac86-982796d6da85 · outbound
This paper cites Solomon, and Kirsten Wickelgren.
Welschinger--Witt invariants Solomon, and Kirsten Wickelgren
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T10:27:41.447627Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e5e39e3d-84e7-4e50-8166-07b752fc99f6 · outbound
This paper cites Quadratic and H ermitian forms over rings , volume 294 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].
Welschinger--Witt invariants Quadratic and H ermitian forms over rings , volume 294 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T10:27:41.450395Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 997be4be-98b2-415f-a1ca-604ecc0e88f0 · outbound
This paper cites an unresolved cited work.
Welschinger--Witt invariants Unresolved cited work
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T10:27:41.453348Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a0232588-4ce2-45b1-b5f1-714b7a603ae9 · outbound
This paper cites Toward an algebraic theory of Welschinger invariants.
Welschinger--Witt invariants Toward an algebraic theory of Welschinger invariants
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T10:27:41.456127Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cbb6098b-f389-462b-adbb-4efd792760ef · outbound
This paper cites Symmetric bilinear forms.
Welschinger--Witt invariants Symmetric bilinear forms
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.786214Z
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 16be1b96-98f4-4128-851d-5530c4627004 · outbound
This paper cites Gromov-Witten and Welschinger invariants of del Pezzo varieties.
Welschinger--Witt invariants Gromov-Witten and Welschinger invariants of del Pezzo varieties
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T10:27:41.545242Z
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 1a6c1d28-7bee-46b5-8939-cbcf9106fe9c · outbound
This paper cites A purity theorem for the witt group.
Welschinger--Witt invariants A purity theorem for the witt group
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.777335Z
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 2b324790-9167-4053-9c2f-80b7e5e1f286 · outbound
This paper cites Power structures on the grothendieck--witt ring and the motivic euler characteristic.
Welschinger--Witt invariants Power structures on the grothendieck--witt ring and the motivic euler characteristic
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.768712Z
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 1e1899f3-0155-447d-96d3-837b5cf80415 · outbound
This paper cites Pandharipande, J.
Welschinger--Witt invariants Pandharipande, J
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.760089Z
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 760161d6-32ac-4517-9a2a-3107f8c79a5a · outbound
This paper cites Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions.
Welschinger--Witt invariants Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions
Reference 30
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T10:27:41.532215Z
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 03b13587-e296-460b-8fb1-460f50a920b1 · outbound
This paper cites Stacks project.
Welschinger--Witt invariants Stacks project
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.750829Z
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 820be604-ccad-4fd7-823f-536127a81d2d · outbound
This paper cites Enumerative invariants of stongly semipositive real symplectic six-manifolds.
Welschinger--Witt invariants Enumerative invariants of stongly semipositive real symplectic six-manifolds
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T10:27:41.480178Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c6d8ec3-53f2-4f8f-b068-a984de90535e · outbound
This paper cites Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry.
Welschinger--Witt invariants Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.741998Z
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 2b1bdbf1-d1d6-47fd-ae9f-52f67d7dfe91 · outbound
This paper cites Spinor states of real rational curves in real algebraic convex 3-manifolds and enumerative invariants.
Welschinger--Witt invariants Spinor states of real rational curves in real algebraic convex 3-manifolds and enumerative invariants
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.732474Z
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 85d0a168-2c4c-4a3d-845a-2a98e088dc51 · outbound
This paper cites Invariant count of holomorphic disks in the cotangent bundles of the two-sphere and real projective plane.
Welschinger--Witt invariants Invariant count of holomorphic disks in the cotangent bundles of the two-sphere and real projective plane
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.722496Z
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 ab90795f-455e-4ad8-8cf1-f82428ce6ae2 · outbound
This paper cites Open Gromov - Witten invariants in dimension four.
Welschinger--Witt invariants Open Gromov - Witten invariants in dimension four
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:27:41.713125Z
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.