Paper Citation Record · LEDGER

On n-dependent groups and fields III. Multilinear forms and invariant connected components

As of 13 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 3 inbound Pith citation observations for arXiv:2412.19921.

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

pith.paper-citation-record.v1
2412.19921 v2

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:06:16.382832Z

measured 62 of 62 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T16:21:36.673583Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T16:24:55.529373Z

Reference resolution

59 of 59 outbound references displayed

verified exact5
verified fuzzy40
unresolved14
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External citation measurements

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Outbound references

Observation 021bfd0f-f7e5-4483-8c74-01ccd8e7a854 · outbound

This paper cites Higher arity stability and the functional order property.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Higher arity stability and the functional order property

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T00:06:16.077046Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation caa4c6da-1df9-4aa3-9daf-ef121090d2ee · outbound

This paper cites An introduction to theories without the independence property.Archive for Mathemat- ical Logic, 5, 2008.

On n-dependent groups and fields III. Multilinear forms and invariant connected components An introduction to theories without the independence property.Archive for Mathemat- ical Logic, 5, 2008

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.653708Z

Source-reported events for the cited work

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Observation 92752d01-9c32-4a75-90f7-88279ba629f8 · outbound

This paper cites Thorn-forking as local forking.Journal of Mathematical Logic, 9(01):21–38, 2009.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Thorn-forking as local forking.Journal of Mathematical Logic, 9(01):21–38, 2009

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.638805Z

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

Observation 46928339-fa3e-4804-9fd5-488b2dddc1e1 · outbound

This paper cites Stability theory, permutations of indiscernibles, and embedded finite models.Transactions of the American Mathematical Society, 352(11):4937–4969, 2000.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Stability theory, permutations of indiscernibles, and embedded finite models.Transactions of the American Mathematical Society, 352(11):4937–4969, 2000

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.622920Z

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 917c4209-5e35-4424-8456-8f00050fc3ab · outbound

This paper cites Mekler’s construction preserves CM-triviality.Annals of Pure and Applied Logic, 115(1-3):115–173, 2002.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Mekler’s construction preserves CM-triviality.Annals of Pure and Applied Logic, 115(1-3):115–173, 2002

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.607081Z

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

Observation a23e051a-66e6-46bb-a4bd-6a4517eaa0c0 · outbound

This paper cites An independence theorem for NTP2 theories.

On n-dependent groups and fields III. Multilinear forms and invariant connected components An independence theorem for NTP2 theories

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.591117Z

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 3ca414c9-d598-43e1-9f47-ada937e86761 · outbound

This paper cites Simplicity in compact abstract theories.Journal of Mathematical Logic, 3(02):163– 191, 2003.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Simplicity in compact abstract theories.Journal of Mathematical Logic, 3(02):163– 191, 2003

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.575216Z

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

Observation 7c9f9853-a9cc-4c16-aece-944082a2b784 · outbound

This paper cites Isogeny classes of cubic spaces.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Isogeny classes of cubic spaces

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T00:06:16.115139Z

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Observation 796b2a8f-02aa-4dd6-b809-c047b4c81d52 · outbound

This paper cites NIPn CHIPS.

On n-dependent groups and fields III. Multilinear forms and invariant connected components NIPn CHIPS

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T00:06:16.120625Z

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Observation c9a38dea-149d-45d0-aec9-c844cb814ebb · outbound

This paper cites A note on some example of NSOP1 theories.Preprint, arXiv:2304.05404, 2023.

On n-dependent groups and fields III. Multilinear forms and invariant connected components A note on some example of NSOP1 theories.Preprint, arXiv:2304.05404, 2023

Reference 10

Resolution: verified exact; raw_fallback, observed 2026-08-11T00:07:01.771189Z

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Observation eb9dd34c-acc0-40b8-bc61-12f08d7e54fa · outbound

This paper cites Number 39.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Number 39

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.560078Z

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Observation 7fc7ef66-67b5-49c6-9030-ee394af17c9d · outbound

This paper cites Finite structures with few types.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Finite structures with few types

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.543564Z

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 9a0dbc43-4431-43a7-ae13-b29640663bdc · outbound

This paper cites Mekler’s construction and generalized stability.Israel Journal of Mathematics, 230:745–769, 2019.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Mekler’s construction and generalized stability.Israel Journal of Mathematics, 230:745–769, 2019

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.525267Z

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

Observation 1d97cc31-cce0-4641-9401-09b988f5db89 · outbound

This paper cites On n-dependent groups and fields II.Forum of Mathematics, Sigma, 9:e38, 2021.

On n-dependent groups and fields III. Multilinear forms and invariant connected components On n-dependent groups and fields II.Forum of Mathematics, Sigma, 9:e38, 2021

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.508786Z

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

Observation a7ab70df-dc48-4e9e-b5a4-ddc13e63f98a · outbound

This paper cites Transitivity, lowness, and ranks in NSOP1 theories.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Transitivity, lowness, and ranks in NSOP1 theories

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.491175Z

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

Observation 92dd68af-3872-45a7-a614-0da3e2742a1f · outbound

This paper cites On n-dependence.Notre Dame Journal of Formal Logic, 60(2):195–214, 2019.

On n-dependent groups and fields III. Multilinear forms and invariant connected components On n-dependence.Notre Dame Journal of Formal Logic, 60(2):195–214, 2019

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.474963Z

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

Observation 289db1e2-a334-4e4f-8c2f-b2efea54b29a · outbound

This paper cites On model-theoretic tree properties.Journal of Mathematical Logic, 16(02):1650009, 2016.

On n-dependent groups and fields III. Multilinear forms and invariant connected components On model-theoretic tree properties.Journal of Mathematical Logic, 16(02):1650009, 2016

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.459226Z

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 838eee31-d5e0-40ab-8393-bdff1e2dc7b3 · outbound

This paper cites Externally definable sets and dependent pairs II.Transactions of the American Mathematical Society, 367(7):5217–5235, 2015.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Externally definable sets and dependent pairs II.Transactions of the American Mathematical Society, 367(7):5217–5235, 2015

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T00:06:16.166879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5e550f0-9e94-42f1-89df-8c070cc24251 · outbound

This paper cites Ramsey growth in some NIP structures.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Ramsey growth in some NIP structures

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.431819Z

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

Observation c3caff47-c8a7-4ceb-a3e4-115af8099bf2 · outbound

This paper cites Hypergraph regularity and higher arity VC-dimension.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Hypergraph regularity and higher arity VC-dimension

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T00:06:16.178163Z

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Observation b9e115df-aaa9-49e4-a897-e22ae280a39e · outbound

This paper cites Perfect stable regularity lemma and slice-wise stable hypergraphs.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Perfect stable regularity lemma and slice-wise stable hypergraphs

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T00:06:16.183627Z

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Observation ac2024f2-e9dc-4309-9d41-ed76870e8c86 · outbound

This paper cites Connected components of definable groups and o-minimality I.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Connected components of definable groups and o-minimality I

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.415737Z

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 e43dc8f6-a9e6-442f-910a-c1cba3cd8ba3 · outbound

This paper cites On algebraically closed fields with a distin- guished subfield.Israel Journal of Mathematics, pages 1–43, 2024.

On n-dependent groups and fields III. Multilinear forms and invariant connected components On algebraically closed fields with a distin- guished subfield.Israel Journal of Mathematics, pages 1–43, 2024

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.399188Z

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

Observation d4010eb8-20e1-43c6-b441-b05270212bab · outbound

This paper cites A two-sorted theory of nilpotent Lie algebras.

On n-dependent groups and fields III. Multilinear forms and invariant connected components A two-sorted theory of nilpotent Lie algebras

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:06:46.684828Z

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 37be960c-920b-40ac-917a-6fc73dca5ce2 · outbound

This paper cites Model-theoretic properties of nilpotent groups and Lie algebras.Journal of Algebra, 662:640–701, 2025.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Model-theoretic properties of nilpotent groups and Lie algebras.Journal of Algebra, 662:640–701, 2025

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.383358Z

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

Observation b97c174a-5287-4311-b6b9-6e5fa8e71cd8 · outbound

This paper cites Élimination des quantificateurs dans les paires de corps algébriquement clos.Con- fluentes Mathematici, 4(2), 2012.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Élimination des quantificateurs dans les paires de corps algébriquement clos.Con- fluentes Mathematici, 4(2), 2012

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.366660Z

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 6aa33e80-b30a-442f-9fc1-de56adfce4e6 · outbound

This paper cites Sets, groups, and fields definable in vector spaces with a bilinear form.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Sets, groups, and fields definable in vector spaces with a bilinear form

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.350527Z

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 23e2f81b-32a3-4a6d-ae7e-c1a0282b52bc · outbound

This paper cites Independence over arbitrary sets in NSOP1 theories.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Independence over arbitrary sets in NSOP1 theories

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.335662Z

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

Observation 04352f50-d1e3-4c92-b2fa-6f6fc9c19cf9 · outbound

This paper cites Pillay M.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Pillay M

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.319062Z

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

Observation 15dc3c92-27fc-4733-9f58-cc585cdb8ce8 · outbound

This paper cites On uniform definability of types over finite sets for NIP formulas.

On n-dependent groups and fields III. Multilinear forms and invariant connected components On uniform definability of types over finite sets for NIP formulas

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.302636Z

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

Observation 4eeee9f7-aad2-4fb3-86ee-b0547e4b8e21 · outbound

This paper cites Springer Science & Business Media, 2009.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Springer Science & Business Media, 2009

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.285137Z

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

Observation 3d2d4c2e-e26d-4b2c-b07c-1e8b40091c96 · outbound

This paper cites Model theoretic connected components of groups.Israel Journal of Mathematics, 184:251–274, 2011.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Model theoretic connected components of groups.Israel Journal of Mathematics, 184:251–274, 2011

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.267613Z

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

Observation d0499b04-6208-4d69-b58d-2f4d422861cd · outbound

This paper cites Stability, simplicity and the model theory of bilinear forms.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Stability, simplicity and the model theory of bilinear forms

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.251233Z

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

Observation 6652af7f-74db-48fe-8fbf-46d449ed8b83 · outbound

This paper cites Tensor spaces and the geometry of polynomial representations.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Tensor spaces and the geometry of polynomial representations

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T00:06:16.248383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75b12e0c-1b3b-4f03-bb2f-2e9587d620b4 · outbound

This paper cites Ultrahomogeneous tensor spaces.Advances in Mathematics, 443:109599, 2024.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Ultrahomogeneous tensor spaces.Advances in Mathematics, 443:109599, 2024

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.235711Z

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 582aa817-afc5-404c-a5de-8b48a69e079b · outbound

This paper cites On n-dependent groups and fields.Mathematical Logic Quarterly, 62(3):215–224, 2016.

On n-dependent groups and fields III. Multilinear forms and invariant connected components On n-dependent groups and fields.Mathematical Logic Quarterly, 62(3):215–224, 2016

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T00:06:16.259424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11d5443c-561c-4ef7-b072-4170d8057e8c · outbound

This paper cites Stable forms and special metrics.Contemporary mathematics, 288:70–89, 2001.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Stable forms and special metrics.Contemporary mathematics, 288:70–89, 2001

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.208165Z

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

Observation 94ff5c4c-e437-4749-b560-7ea9025883e1 · outbound

This paper cites Zariski geometries.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Zariski geometries

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.077925Z

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 293ec6ad-a91a-4772-b701-f72ae491ebf0 · outbound

This paper cites On Kim-independence.Journal of the European Mathematical Society, 22(5):1423–1474, 2020.

On n-dependent groups and fields III. Multilinear forms and invariant connected components On Kim-independence.Journal of the European Mathematical Society, 22(5):1423–1474, 2020

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.061224Z

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 9e597273-4d99-470c-a09e-0c495d4c4f52 · outbound

This paper cites Transitivity of Kim-independence.Advances in Mathematics, 379:107573, 2021.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Transitivity of Kim-independence.Advances in Mathematics, 379:107573, 2021

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-11T00:06:16.281083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8516e98c-a656-4579-92ea-5f8e4d2c6ba6 · outbound

This paper cites Local character of Kim-independence.Proceed- ings of the American Mathematical Society, 147(4):1719–1732, 2019.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Local character of Kim-independence.Proceed- ings of the American Mathematical Society, 147(4):1719–1732, 2019

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.032710Z

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 383d9681-eb8d-4bfd-817c-502b6006e4d3 · outbound

This paper cites Properties of high rank subvarieties of affine spaces.Geometric and Functional Analysis, 30(4):1063–1096, 2020.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Properties of high rank subvarieties of affine spaces.Geometric and Functional Analysis, 30(4):1063–1096, 2020

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:02.015707Z

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 9debdd9e-2d79-4f62-a3b4-f5a124ede53f · outbound

This paper cites Some model theory of quadratic geometries.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Some model theory of quadratic geometries

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:06:46.646112Z

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 8968cd76-3f44-4178-b343-d9222d652cac · outbound

This paper cites University of Notre Dame, 1996.

On n-dependent groups and fields III. Multilinear forms and invariant connected components University of Notre Dame, 1996

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:01.997088Z

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

Observation 5f8f1763-8fbe-4648-b57f-a512246ec04d · outbound

This paper cites A New Kim’s lemma.Model Theory, 3(3):825–860, 2024.

On n-dependent groups and fields III. Multilinear forms and invariant connected components A New Kim’s lemma.Model Theory, 3(3):825–860, 2024

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:01.980124Z

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 6b28118f-a0f1-4f30-bb4e-c4ce844aab8d · outbound

This paper cites Amenability, definable groups, and automorphism groups.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Amenability, definable groups, and automorphism groups

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:01.964575Z

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 ed66c233-e008-4815-be83-eef9ec47b877 · outbound

This paper cites Vapnik-Chervonenkis classes of definable sets.Journal of the London Mathe- matical Society, 2(2):377–384, 1992.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Vapnik-Chervonenkis classes of definable sets.Journal of the London Mathe- matical Society, 2(2):377–384, 1992

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:01.950039Z

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 983fb467-accd-40a1-8027-d4b51fb72c90 · outbound

This paper cites Indiscernible arrays and rational functions with algebraic constraint.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Indiscernible arrays and rational functions with algebraic constraint

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:06:46.623592Z

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 915c8ad4-9246-4f2a-91c0-243fff40b01b · outbound

This paper cites Springer Science & Business Media, 2006.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Springer Science & Business Media, 2006

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:01.934312Z

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 ec1d6c8c-3d8c-4e0e-8fa2-6f5d45b5c9e8 · outbound

This paper cites Oligomorphic groups and ultrahomogeneous cubic spaces over finite fields.Preprint, arXiv:2308.13247, 2023.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Oligomorphic groups and ultrahomogeneous cubic spaces over finite fields.Preprint, arXiv:2308.13247, 2023

Reference 50

Resolution: verified exact; raw_fallback, observed 2026-08-11T00:06:46.600260Z

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 ddee1183-79e1-430d-a088-439474651155 · outbound

This paper cites Indiscernibles, EM-types, and Ramsey classes of trees.Notre Dame Journal of Formal Logic, 56(3):429–447, 2015.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Indiscernibles, EM-types, and Ramsey classes of trees.Notre Dame Journal of Formal Logic, 56(3):429–447, 2015

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-11T00:06:16.336475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc34e444-337e-4624-9083-7e33c8d6032e · outbound

This paper cites an unresolved cited work.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:07:01.908044Z

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 9a5c98cc-460c-418e-98d8-af063a98bfee · outbound

This paper cites Minimal bounded index subgroup for dependent theories.Proceedings of the Amer- ican Mathematical Society, 136(3):1087–1091, 2008.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Minimal bounded index subgroup for dependent theories.Proceedings of the Amer- ican Mathematical Society, 136(3):1087–1091, 2008

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-11T00:06:16.346778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba61e85c-421f-4201-a4b1-68c51f0c0332 · outbound

This paper cites Strongly dependent theories.Israel Journal of Mathematics, 204(1):1–83, 2014.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Strongly dependent theories.Israel Journal of Mathematics, 204(1):1–83, 2014

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:01.882521Z

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 db608b4c-aa34-4ad6-a829-50295b080e22 · outbound

This paper cites Definable groups for dependent and 2-dependent theories.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Definable groups for dependent and 2-dependent theories

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:01.866727Z

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 498a7460-7aea-4048-a5d6-875ac6ed44f5 · outbound

This paper cites Higher-order generalizations of stability and arithmetic regularity.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Higher-order generalizations of stability and arithmetic regularity

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-11T00:06:16.363809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b4654b2-7c16-48ee-b85f-efc12e4b46ee · outbound

This paper cites Irregular triads in 3-uniform hypergraphs.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Irregular triads in 3-uniform hypergraphs

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-11T00:06:16.369664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65c9eb0c-9f8b-4445-9740-5e6d46f578c0 · outbound

This paper cites Springer, 2000.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Springer, 2000

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:01.850919Z

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 0c3cb36d-e0af-473d-bd6a-48220817bcdb · outbound

This paper cites Cambridge University Press, tits buildings and the model theory of groups edition, 1998.

On n-dependent groups and fields III. Multilinear forms and invariant connected components Cambridge University Press, tits buildings and the model theory of groups edition, 1998

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:07:01.835132Z

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

Observation 90420bfd-082b-49de-bae8-83fde798de79 · inbound

On n-distality, n-triviality and hypergraph regularity in NIP theories cites this paper.

On n-distality, n-triviality and hypergraph regularity in NIP theories On n-dependent groups and fields III. Multilinear forms and invariant connected components

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-11T18:01:06.585205Z

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 6155863b-7ba8-4de4-946b-24507aed4eb4 · inbound

Higher-arity distality and forking triviality cites this paper.

Higher-arity distality and forking triviality On n-dependent groups and fields III. Multilinear forms and invariant connected components

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-22T02:14:31.444670Z

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 4e686ab6-1757-456a-91ea-5f6f374c3741 · inbound

Higher-arity distality and forking triviality cites this paper.

Higher-arity distality and forking triviality On n-dependent groups and fields III. Multilinear forms and invariant connected components

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-06-30T16:24:55.534613Z

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.