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Paper Citation Record · LEDGER

Weakly o-minimal fields have the exchange property but not generic differentiability

As of 19 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2606.08527.

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

pith.paper-citation-record.v1
2606.08527 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T17:50:00.115301Z

measured 29 of 29 standing notices

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

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

29 of 29 outbound references displayed

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  • verified fuzzy0
  • unresolved27
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External citation measurements

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Outbound references

Observation 4ec1abe8-9bdc-40ed-82f3-4192494d0cda · outbound

This paper cites On Schanuel’s conjectures.Ann.

Weakly o-minimal fields have the exchange property but not generic differentiability On Schanuel’s conjectures.Ann

Reference 1

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:247bd5982b9ee7add08afadfadcd94a0b4cd973ac5183f3a0c81f649a860d077

Observation e93b16b1-284b-4213-b714-42d3979074f0 · outbound

This paper cites Baisalov and B.

Weakly o-minimal fields have the exchange property but not generic differentiability Baisalov and B

Reference 2

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:591f751c08fb79f0c97a8495ae4b6c6437b8292506855f4a21857ab02125f1b9

Observation f746a30b-ccb6-4bcd-9d65-9cd94cce5e24 · outbound

This paper cites an unresolved cited work.

Weakly o-minimal fields have the exchange property but not generic differentiability Unresolved cited work

Reference 3

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:6059ec68fe85473eca8f9a268c2caf6bfc7006b0e3b9ac2fb8da191c72e335b2

Observation 9d0fbdfd-0178-4d38-a91e-93a65ef73c89 · outbound

This paper cites Cherlin and M.

Weakly o-minimal fields have the exchange property but not generic differentiability Cherlin and M

Reference 4

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:8d2e2df9558f114375784fc028cf70b6b12207e8545ab48bfa18bc0ce9c3bd3d

Observation 529320e9-770f-400b-9706-2fc75c16265e · outbound

This paper cites an unresolved cited work.

Weakly o-minimal fields have the exchange property but not generic differentiability Unresolved cited work

Reference 5

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:aeb5266c4509a5f6698848ba9cc0fd451d9d9ea2a2420ea7bb45d1c1f4035803

Observation 814d2906-467b-4a34-b0fc-8cd7bccf0cc2 · outbound

This paper cites Tame topology over definable uniform structures.

Weakly o-minimal fields have the exchange property but not generic differentiability Tame topology over definable uniform structures

Reference 6

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:5c1d9db1eb6e3f21df798bc08fe3657fa078fa01e29ce4c52729a08459da3d1c

Observation d257e7f4-5315-42b7-852b-414bfd831180 · outbound

This paper cites Dp-minimality: basic facts and ex- amples.Notre Dame Journal of Formal Logic, 52(3):267–288, 2011.

Weakly o-minimal fields have the exchange property but not generic differentiability Dp-minimality: basic facts and ex- amples.Notre Dame Journal of Formal Logic, 52(3):267–288, 2011

Reference 7

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:184ed17ad47b3a9d1f30eeed4c15de440b20fac899315aba6e49883c46e58cc4

Observation 4a5c170c-3c0a-46e2-94ab-060f3bbeb758 · outbound

This paper cites Pillay’s conjecture for groups definable in weakly o-minimal non- valuational structures.Bull.

Weakly o-minimal fields have the exchange property but not generic differentiability Pillay’s conjecture for groups definable in weakly o-minimal non- valuational structures.Bull

Reference 8

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:bd167bcd6b6934628ffd0640766f921183e1fc5baac7b81f0e76cb06c52c0f12

Observation 00b0fa7e-c9d1-484b-8b14-7f9b97b41833 · outbound

This paper cites Projectionsofsemi-analyticsets.Functional Analysis and its Applications, 2:282–291, 1968.

Weakly o-minimal fields have the exchange property but not generic differentiability Projectionsofsemi-analyticsets.Functional Analysis and its Applications, 2:282–291, 1968

Reference 9

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:96ba7e5f6d0ad20670c8634ae06cddd4b1d2840a6449745f404da95c3758711c

Observation ae3e5252-12a6-48de-89ed-bc23f9a5e35d · outbound

This paper cites Interpretable fields in various valued fields.Advances in Mathematics, 404, Part A:108408, August 2022.

Weakly o-minimal fields have the exchange property but not generic differentiability Interpretable fields in various valued fields.Advances in Mathematics, 404, Part A:108408, August 2022

Reference 10

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:26793bb3797712f90d30e3d2209b8fc292d2be2e11ee14a35d8c7cf11324824c

Observation 829bd78f-841d-432d-a5a2-25f2cdc9b679 · outbound

This paper cites Cell decompositions of C-minimal structures.

Weakly o-minimal fields have the exchange property but not generic differentiability Cell decompositions of C-minimal structures

Reference 11

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:79d060d2e1de0114121b0879a95627655b39dc5ac10b18341dce690caa643018

Observation 6e6bee31-a21e-43f5-a1f8-5eb4f4843ec7 · outbound

This paper cites A version ofo-minimality for thep-adics.J.

Weakly o-minimal fields have the exchange property but not generic differentiability A version ofo-minimality for thep-adics.J

Reference 12

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:8aa3e2e3764aa7e110dc82750c234aca67a2a3d1420ae43f2ea71a2cdf165320

Observation d8cab2c3-3f0a-4e71-8477-0f94cf632225 · outbound

This paper cites Groups definable in local fields and pseudo-finite fields.Israel J.

Weakly o-minimal fields have the exchange property but not generic differentiability Groups definable in local fields and pseudo-finite fields.Israel J

Reference 13

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:95af8954d60a678aac083efef5596173d0748e21cc58b51b4128a40c29cddafd

Observation 4715b830-6e75-4524-ac10-2433e436891a · outbound

This paper cites The canonical topology on dp-minimal fields.Journal of Mathematical Logic, 18(2):1850007, 2018.

Weakly o-minimal fields have the exchange property but not generic differentiability The canonical topology on dp-minimal fields.Journal of Mathematical Logic, 18(2):1850007, 2018

Reference 14

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:174571592a64a3c1c366ea32e2fbeed7c8c93006e8b2250925464106a18e785e

Observation 71b6ef22-41d1-4ec7-813a-15baf2583c31 · outbound

This paper cites C-minimal fields have the exchange property.

Weakly o-minimal fields have the exchange property but not generic differentiability C-minimal fields have the exchange property

Reference 15

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arxiv_id, observed 2026-07-02T23:47:28.348202Z

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

source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:8149ae762f720898d00d57b802402ca3d331b7628c555e5ba606294503a4de8c

Observation f3494c28-2a94-449a-8839-2247c4109ce5 · outbound

This paper cites Generic differentiability and P-minimal groups.

Weakly o-minimal fields have the exchange property but not generic differentiability Generic differentiability and P-minimal groups

Reference 16

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arxiv_id, observed 2026-07-02T23:47:28.351185Z

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

source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:a8a01023855b4f8034e72874afcf372a7414ed4e15e9f398f65bc8eee210c092

Observation 73e99ce8-5471-42db-831a-a3b42752711c · outbound

This paper cites an unresolved cited work.

Weakly o-minimal fields have the exchange property but not generic differentiability Unresolved cited work

Reference 17

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:fa86cc0df03aaed02833ecc3ba0e38cd5090878f8388f334e6f7ac22a53db7c9

Observation ef16fd98-af57-4b0d-867c-91783b4578e9 · outbound

This paper cites On the decidability of the real field with a generic power function.J.

Weakly o-minimal fields have the exchange property but not generic differentiability On the decidability of the real field with a generic power function.J

Reference 18

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:0b5c06647cae0ec28a734b2ebe262993f8cadd1166f06b3e7be5904a15154857

Observation 0b715a02-d01f-4328-9df4-3323b4894c42 · outbound

This paper cites Differentiation inP-minimal structures and a p-adic Local Monotonicity Theorem.J.

Weakly o-minimal fields have the exchange property but not generic differentiability Differentiation inP-minimal structures and a p-adic Local Monotonicity Theorem.J

Reference 19

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:ecedbf84ff627dd3cb3b22b4dbf39bc197c4bd4557275326bf7863acd356447c

Observation 51a5f7aa-a671-4a44-bf61-2e28717eb93a · outbound

This paper cites Weakly o-minimal struc- tures and real closed fields.Trans.

Weakly o-minimal fields have the exchange property but not generic differentiability Weakly o-minimal struc- tures and real closed fields.Trans

Reference 20

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:83d2a529f17144844b739a5559b2c855c59e09c87cc39187b55c4973246c9c6d

Observation 2c249ba4-14a6-414e-bd52-7b8fdee0ba39 · outbound

This paper cites On variants ofo-minimality.Annals of Pure and Applied Logic, 79:165–209, 1996.

Weakly o-minimal fields have the exchange property but not generic differentiability On variants ofo-minimality.Annals of Pure and Applied Logic, 79:165–209, 1996

Reference 21

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:b239074cbde89a891930b38fa5891dc2f2fbfe455b380d00d4a971225cf73bce

Observation c6867b27-c437-40ee-a3e1-c9d55714d17b · outbound

This paper cites Cell decomposition and dimension functions in first-order topological structures.Proc.

Weakly o-minimal fields have the exchange property but not generic differentiability Cell decomposition and dimension functions in first-order topological structures.Proc

Reference 22

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:d6cfbdc43c904536077c14dac3a9a10db27382d61d2367249e9a1d79777562a4

Observation 27072d08-639b-4dd3-a17e-4999dd1f318f · outbound

This paper cites Expansions of the real field with power functions.Ann.

Weakly o-minimal fields have the exchange property but not generic differentiability Expansions of the real field with power functions.Ann

Reference 23

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:1e59603731704273583a826a3bc84a720f3972fae1beb3a13a8d1f717cb3a215

Observation cdd8c461-c189-48ac-8a5b-486d5621bfcf · outbound

This paper cites Infinite differentiability in polynomially bounded o-minimal structures.

Weakly o-minimal fields have the exchange property but not generic differentiability Infinite differentiability in polynomially bounded o-minimal structures

Reference 24

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:49e826db6ad313afe3ced61a6ffaee305f17b1a7b961634cf3cb5123de70a1b0

Observation e340d320-f11d-47e1-899c-1ad646f5e86a · outbound

This paper cites Peterzil, A.

Weakly o-minimal fields have the exchange property but not generic differentiability Peterzil, A

Reference 25

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:2b166e2027182c4e60036ed19bc99fb9d66449afcfdbdbf5bd6f488ce9404e99

Observation 05658ef4-15a2-41d7-9b07-f047a2966306 · outbound

This paper cites Tame topology over dp-minimal structures.Notre Dame J.

Weakly o-minimal fields have the exchange property but not generic differentiability Tame topology over dp-minimal structures.Notre Dame J

Reference 26

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:82716e06260ddc875becb8269bb563a84b4b2f2119b7a1396a3ee451117a2d38

Observation 333cfc95-ba2b-496f-9f6c-9439e34d10fd · outbound

This paper cites Number 248 in London Mathematical Society Lecture Note Series.

Weakly o-minimal fields have the exchange property but not generic differentiability Number 248 in London Mathematical Society Lecture Note Series

Reference 27

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:03b0f38f6eea2e38a6e6adfe86135a086a82a847032387bb31266e4ce961ccd2

Observation df9d5d7a-0f24-4c1e-af2d-363c0ddbcdb9 · outbound

This paper cites Weakly o-minimal nonvaluational structures.Ann.

Weakly o-minimal fields have the exchange property but not generic differentiability Weakly o-minimal nonvaluational structures.Ann

Reference 28

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:0a3bd7ef5bf4d78b8992d1f8fba788879b1172052c7e38912be8aff0654233f6

Observation c94f6aa0-f33a-4e15-97c9-b78ec0b54913 · outbound

This paper cites an unresolved cited work.

Weakly o-minimal fields have the exchange property but not generic differentiability Unresolved cited work

Reference 29

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source=pdf_text observed=2026-06-27T17:50:00.115301Z digest=sha256:11a9432a3fb197f83680a64c334d10337872fccb3e6d95df3077ceb779ce8941

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