Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:39:46.429161Z
Paper Citation Record · LEDGER
Rings of differentiable semialgebraic functions
As of 16 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:1908.07257.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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
45 of 45 outbound references displayed
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d96cfdf5-b118-4081-a710-391afd46af5b · outbound
This paper cites Atiyah, I.G.
Rings of differentiable semialgebraic functions Atiyah, I.G
Reference 1
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- raw_fallback, observed 2026-08-14T12:39:47.243007Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1279ec37-0f41-4a71-8969-764d99c4b0b6 · outbound
This paper cites Aschenbrenner, A.
Rings of differentiable semialgebraic functions Aschenbrenner, A
Reference 2
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- raw_fallback, observed 2026-08-14T12:39:47.212725Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c14379fd-b796-47cd-9c45-d7e510422073 · outbound
This paper cites Bkouche: Couples spectraux et faisceaux associ\'es.
Rings of differentiable semialgebraic functions Bkouche: Couples spectraux et faisceaux associ\'es
Reference 3
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- raw_fallback, observed 2026-08-14T12:39:47.198854Z
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Observation cdd14edd-c0aa-4244-94f0-8de815987d46 · outbound
This paper cites Bochnak, M.
Reference 4
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bd71d7d8-818f-42fa-99b1-2c598a875bc0 · outbound
This paper cites Baro, J.F.
Reference 5
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Observation 30446955-fb5b-48ee-b493-b1c818b7ab3b · outbound
This paper cites Carral, M.
Reference 6
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- raw_fallback, observed 2026-08-14T12:39:47.156807Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3e693da6-c6a5-464e-aa42-d2bdbfe9c015 · outbound
This paper cites Cherlin, M.A.
Rings of differentiable semialgebraic functions Cherlin, M.A
Reference 7
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- raw_fallback, observed 2026-08-14T12:39:47.142235Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e8d649d7-86c8-4134-a08f-f6360c3ab665 · outbound
This paper cites Cherlin, M.A.
Rings of differentiable semialgebraic functions Cherlin, M.A
Reference 8
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- raw_fallback, observed 2026-08-14T12:39:47.125925Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b689a2bf-e36c-4018-b163-81660c969067 · outbound
This paper cites Delfs, M.
Reference 9
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- raw_fallback, observed 2026-08-14T12:39:47.108761Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 86b42786-3770-46cc-a653-1acaf3c262b8 · outbound
This paper cites Delfs, M.
Reference 10
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- raw_fallback, observed 2026-08-14T12:39:47.085344Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 498ed334-3899-4b1e-bd28-a5ee830a6d6d · outbound
This paper cites Efroymson: The extension theorem for Nash functions.
Rings of differentiable semialgebraic functions Efroymson: The extension theorem for Nash functions
Reference 11
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- raw_fallback, observed 2026-08-14T12:39:47.068032Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a62e33d1-a8ba-4e31-9dbc-8cc57b4ce666 · outbound
This paper cites Fefferman: Whitney's Extension Problem for C^m.
Rings of differentiable semialgebraic functions Fefferman: Whitney's Extension Problem for C^m
Reference 12
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- raw_fallback, observed 2026-08-14T12:39:47.049638Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b142b867-3a38-4ff9-89bc-42f812468104 · outbound
This paper cites Fefferman: Whitney's extension problems and interpolation of data.
Rings of differentiable semialgebraic functions Fefferman: Whitney's extension problems and interpolation of data
Reference 13
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- raw_fallback, observed 2026-08-14T12:39:47.033675Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e7f00838-1ace-4bc4-a04b-3cf837b2c75d · outbound
This paper cites Fernando: On chains of prime ideals in rings of semialgebraic functions.
Rings of differentiable semialgebraic functions Fernando: On chains of prime ideals in rings of semialgebraic functions
Reference 14
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- raw_fallback, observed 2026-08-14T12:39:47.014845Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1d1927d6-e97a-4df4-a412-017d2ed3b055 · outbound
This paper cites Fernando: On the substitution theorem for rings of semialgebraic functions.
Rings of differentiable semialgebraic functions Fernando: On the substitution theorem for rings of semialgebraic functions
Reference 15
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- raw_fallback, observed 2026-08-14T12:39:47.002606Z
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Observation c42207f8-f626-4199-97a9-24f6489babf2 · outbound
This paper cites Fernando: On the size of the fibers of spectral maps induced by semialgebraic embeddings.
Rings of differentiable semialgebraic functions Fernando: On the size of the fibers of spectral maps induced by semialgebraic embeddings
Reference 16
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- raw_fallback, observed 2026-08-14T12:39:46.989732Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5771ee91-dedf-4f2b-afa7-69777b391983 · outbound
This paper cites Fernando, J.M.
Rings of differentiable semialgebraic functions Fernando, J.M
Reference 17
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- raw_fallback, observed 2026-08-14T12:39:46.970176Z
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Observation 21863cba-f975-434f-9ab7-024a9421a805 · outbound
This paper cites Fernando, J.M.
Rings of differentiable semialgebraic functions Fernando, J.M
Reference 18
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- raw_fallback, observed 2026-08-14T12:39:46.950699Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2292e667-4134-4309-b53d-cbccf9e88372 · outbound
This paper cites Fernando, J.M.
Rings of differentiable semialgebraic functions Fernando, J.M
Reference 19
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- raw_fallback, observed 2026-08-14T12:39:46.934818Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f174c70d-7926-4e06-8c77-dd68463bf2cb · outbound
This paper cites Fernando, J.M.
Rings of differentiable semialgebraic functions Fernando, J.M
Reference 20
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- raw_fallback, observed 2026-08-14T12:39:46.919247Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b466c77e-acf2-4d53-bffe-748ba932fdb3 · outbound
This paper cites Fernando, J.M.
Rings of differentiable semialgebraic functions Fernando, J.M
Reference 21
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- raw_fallback, observed 2026-08-14T12:39:46.904301Z
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Observation bdf90d7e-f537-4b3d-a2f4-63da036da526 · outbound
This paper cites Fernando, J.M.
Rings of differentiable semialgebraic functions Fernando, J.M
Reference 22
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- raw_fallback, observed 2026-08-14T12:39:46.891036Z
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Observation 24b5143c-218c-43a8-9237-965fc5d10857 · outbound
This paper cites Fernando, J.M.
Rings of differentiable semialgebraic functions Fernando, J.M
Reference 23
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- raw_fallback, observed 2026-08-14T12:39:46.879306Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation df669246-54d8-4aef-8bfa-97e8d99bcacb · outbound
This paper cites Fernando, J.M.
Rings of differentiable semialgebraic functions Fernando, J.M
Reference 24
- Resolution
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- raw_fallback, observed 2026-08-14T12:39:46.866544Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7132649e-d93b-455b-9bd8-084f4e234958 · outbound
This paper cites Fernando, R.
Rings of differentiable semialgebraic functions Fernando, R
Reference 25
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- raw_fallback, observed 2026-08-14T12:39:46.853558Z
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Observation a9e5f387-5db8-44b4-8014-64a7af33106c · outbound
This paper cites Kurdyka, W.
Reference 26
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- raw_fallback, observed 2026-08-14T12:39:46.841425Z
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Observation f009a176-25b7-46d2-84ff-f57b593d2f5a · outbound
This paper cites Kurdyka, W.
Reference 27
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- raw_fallback, observed 2026-08-14T12:39:46.828371Z
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Observation 1036bdbc-19f8-4753-9216-634d661fd047 · outbound
This paper cites Henriksen, M.
Rings of differentiable semialgebraic functions Henriksen, M
Reference 28
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- raw_fallback, observed 2026-08-14T12:39:46.814603Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e639edbb-b4c4-4104-bf33-a83730224c42 · outbound
This paper cites Malgrange: Ideals of differentiable functions.
Rings of differentiable semialgebraic functions Malgrange: Ideals of differentiable functions
Reference 29
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- raw_fallback, observed 2026-08-14T12:39:46.802148Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8b0ef742-fefe-4a68-b952-f6a436cba96f · outbound
This paper cites Prestel, N.
Reference 30
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- raw_fallback, observed 2026-08-14T12:39:46.788474Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e7876e74-b79f-41ec-a2c6-0f3f4cb94b33 · outbound
This paper cites Schwartz: Real closed rings.
Rings of differentiable semialgebraic functions Schwartz: Real closed rings
Reference 31
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- raw_fallback, observed 2026-08-14T12:39:46.768434Z
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Observation 58587899-360d-4a4d-a67a-8ec67075ac86 · outbound
This paper cites Schwartz: Real closed rings.
Rings of differentiable semialgebraic functions Schwartz: Real closed rings
Reference 32
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- raw_fallback, observed 2026-08-14T12:39:46.751061Z
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Observation e24a03e0-763e-4402-ae54-c4990fc445bc · outbound
This paper cites at f\"ur Mathematik der Universit\.
Rings of differentiable semialgebraic functions at f\"ur Mathematik der Universit\
Reference 33
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- raw_fallback, observed 2026-08-14T12:39:46.724442Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c7fca357-505c-4282-957f-d5d0da7af581 · outbound
This paper cites Schwartz: The basic theory of real closed spaces.
Rings of differentiable semialgebraic functions Schwartz: The basic theory of real closed spaces
Reference 34
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- raw_fallback, observed 2026-08-14T12:39:46.705296Z
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Observation 6f5f17b3-c2c1-4e97-ba86-e34d6681584c · outbound
This paper cites Schwartz: Rings of continuous functions as real closed rings.
Rings of differentiable semialgebraic functions Schwartz: Rings of continuous functions as real closed rings
Reference 35
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- raw_fallback, observed 2026-08-14T12:39:46.690250Z
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Observation bae0100c-3165-43d7-97da-a8e618bb2971 · outbound
This paper cites Schwartz: Epimorphic extensions and Pr\"ufer extensions of partially ordered rings.
Rings of differentiable semialgebraic functions Schwartz: Epimorphic extensions and Pr\"ufer extensions of partially ordered rings
Reference 36
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- raw_fallback, observed 2026-08-14T12:39:46.673255Z
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Observation b5d47c4c-c22f-48a7-9cff-8a1508b68807 · outbound
This paper cites Schwartz: Convex Extensions of Partially Ordered Rings.
Rings of differentiable semialgebraic functions Schwartz: Convex Extensions of Partially Ordered Rings
Reference 37
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- raw_fallback, observed 2026-08-14T12:39:46.657343Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation df9ed13e-b54a-4421-baf3-aee08715fb27 · outbound
This paper cites Schwartz, J.J.
Rings of differentiable semialgebraic functions Schwartz, J.J
Reference 38
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- raw_fallback, observed 2026-08-14T12:39:46.634622Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e83b6802-dce5-4505-b4d4-ea3c3207dc5f · outbound
This paper cites Schwartz, M.
Rings of differentiable semialgebraic functions Schwartz, M
Reference 39
- Resolution
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- raw_fallback, observed 2026-08-14T12:39:46.617643Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a2c9f40b-e431-458d-95f1-753c0308e612 · outbound
This paper cites Shiota: Nash manifolds.
Rings of differentiable semialgebraic functions Shiota: Nash manifolds
Reference 40
- Resolution
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- raw_fallback, observed 2026-08-14T12:39:46.603619Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 46ee1c75-5d9e-407f-968c-51f6c2bbe46e · outbound
This paper cites Thamrongthanyalak: Whitney's Extension Theorem in o-minimal structures, Ann.
Rings of differentiable semialgebraic functions Thamrongthanyalak: Whitney's Extension Theorem in o-minimal structures, Ann
Reference 41
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- raw_fallback, observed 2026-08-14T12:39:46.583510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 41311049-a3d5-4754-9309-6d842ecb013a · outbound
This paper cites Tressl: The real spectrum of continuous definable functions in o-minimal structures.
Rings of differentiable semialgebraic functions Tressl: The real spectrum of continuous definable functions in o-minimal structures
Reference 42
- Resolution
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- raw_fallback, observed 2026-08-14T12:39:46.565335Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6fc7c1aa-4ed5-495e-b2f9-59a727d74815 · outbound
This paper cites Tressl: Super real closed rings.
Rings of differentiable semialgebraic functions Tressl: Super real closed rings
Reference 43
- Resolution
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- raw_fallback, observed 2026-08-14T12:39:46.532482Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 116204fe-b5c9-4796-85d5-b45e63975963 · outbound
This paper cites Tressl: Bounded super real closed rings.
Rings of differentiable semialgebraic functions Tressl: Bounded super real closed rings
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:39:46.512285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ab3d14a7-d7c6-4eb4-85e6-3429945d5fb6 · outbound
This paper cites Van den Dries, C.
Rings of differentiable semialgebraic functions Van den Dries, C
Reference 45
- Resolution
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- raw_fallback, observed 2026-08-14T12:39:46.494959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.