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Paper Citation Record · LEDGER

Functions with ultradifferentiable powers

As of 17 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1909.00177.

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

pith.paper-citation-record.v1
1909.00177 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T06:17:33.908292Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

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  • verified fuzzy20
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bd50f8c7-9d3c-477d-9534-bbc560474b3c · outbound

This paper cites , On Joris’ theorem on differentiability of functions , Kodai Math.

Functions with ultradifferentiable powers , On Joris’ theorem on differentiability of functions , Kodai Math

Reference 1

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raw_fallback, observed 2026-08-14T06:17:34.171464Z

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.

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Observation 8fde9465-1148-41bd-883a-ee285cbf88ac · outbound

This paper cites , Differentiability of a function and of its compositions with functions of one variable, Math.

Functions with ultradifferentiable powers , Differentiability of a function and of its compositions with functions of one variable, Math

Reference 2

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raw_fallback, observed 2026-08-14T06:17:34.162634Z

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.

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Observation 28b09f93-25b5-4c69-b9c0-05684d9e3f82 · outbound

This paper cites , Functional Analysis, Sobolev Spaces and Partial Differenti al Equations , Springer, New York, NY (2011).

Functions with ultradifferentiable powers , Functional Analysis, Sobolev Spaces and Partial Differenti al Equations , Springer, New York, NY (2011)

Reference 3

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raw_fallback, observed 2026-08-14T06:17:34.153372Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5f1e5f1a-8377-475f-a8cc-6dec6fc2bb1f · outbound

This paper cites , Nonlinear conditions for differentiability of functions, J.

Functions with ultradifferentiable powers , Nonlinear conditions for differentiability of functions, J

Reference 4

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raw_fallback, observed 2026-08-14T06:17:34.143821Z

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.

source=pdf_text observed=2026-08-14T06:17:33.841748Z digest=sha256:772d95c2a787e5dcbbe6f69fb6cefc20c0d5fadaa5d50ab11c3cb072a29ad770

Observation 6e3194f0-4336-4455-9b59-97bc221cbd47 · outbound

This paper cites , Pseudoanalytic extension of smooth functions.

Functions with ultradifferentiable powers , Pseudoanalytic extension of smooth functions

Reference 5

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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.

source=pdf_text observed=2026-08-14T06:17:33.845357Z digest=sha256:2f77ab571104ff2d8d31dd73e8cfd05a9cc354aceb4384d3052b5d5b64eee87b

Observation f9191a82-911c-4a4a-bd56-db643b74e06b · outbound

This paper cites an unresolved cited work.

Functions with ultradifferentiable powers Unresolved cited work

Reference 6

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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.

source=pdf_text observed=2026-08-14T06:17:33.848785Z digest=sha256:07c0cb80b5b0ceb48546745333308052cbea3b866d43f200918388961b8a3709

Observation 2ca4b491-655e-4801-971d-f9b1b0c23b71 · outbound

This paper cites , Lectures on Analysis on Metric Spaces , Springer, New York (2001).

Functions with ultradifferentiable powers , Lectures on Analysis on Metric Spaces , Springer, New York (2001)

Reference 7

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raw_fallback, observed 2026-08-14T06:17:34.114777Z

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.

source=pdf_text observed=2026-08-14T06:17:33.852378Z digest=sha256:d3306b909f4babd4362cc891c099044d2162c9e70746fc794b97662447d2bb42

Observation 54b08471-2f63-4827-b776-e968c910a095 · outbound

This paper cites , Pathological phenomena in Denjoy-Carleman classes , Canad.

Functions with ultradifferentiable powers , Pathological phenomena in Denjoy-Carleman classes , Canad

Reference 8

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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.

source=pdf_text observed=2026-08-14T06:17:33.855501Z digest=sha256:8f786d07563246081563861d1b76641ea12d4bd142874f58c76c5d7717b0cdd9

Observation 32e13e77-4a88-4a16-8e5f-658f8dae1a99 · outbound

This paper cites an unresolved cited work.

Functions with ultradifferentiable powers Unresolved cited work

Reference 9

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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.

source=pdf_text observed=2026-08-14T06:17:33.858658Z digest=sha256:19c947bb04c4b3d66f6b55b3a8e7c7e524d38c702425e41c6f5f2719bdc72dda

Observation 5d97d1cd-5a3c-43d6-8794-df50ef4db685 · outbound

This paper cites , Log-convex sequences and nonzero proxi- mate orders, J.

Functions with ultradifferentiable powers , Log-convex sequences and nonzero proxi- mate orders, J

Reference 10

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T06:17:33.861593Z digest=sha256:c8aa4570b55050765d17e8e203227bc1cb919f1c555f453b946013638fd2e338

Observation ebd9d2c6-e82c-4f3e-813b-db69dd28ded8 · outbound

This paper cites Indices of O-regular variation for weight functions and weight sequences.

Functions with ultradifferentiable powers Indices of O-regular variation for weight functions and weight sequences

Reference 11

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local_arxiv, observed 2026-08-14T06:17:33.954637Z

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.

source=pdf_text observed=2026-08-14T06:17:33.864742Z digest=sha256:0bb893c19d691bebe0eb46641e61dbce015a642aca80fc73344a3e7c92547b35

Observation 6ca4eb85-bcc2-45b5-bb33-cd9855fab2c7 · outbound

This paper cites , Une C ∞-application non immersive qui possède la propriété univer selle des immersions, Arch.

Functions with ultradifferentiable powers , Une C ∞-application non immersive qui possède la propriété univer selle des immersions, Arch

Reference 12

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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.

source=pdf_text observed=2026-08-14T06:17:33.868299Z digest=sha256:046b0888672c5ad41a110b74f904d851435f2f3587acd123483d8deff090ef7f

Observation d58d4ad2-e2dc-4660-816c-29648bbccad4 · outbound

This paper cites , Pseudo-immersions, Ann.

Functions with ultradifferentiable powers , Pseudo-immersions, Ann

Reference 13

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verified fuzzy
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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.

source=pdf_text observed=2026-08-14T06:17:33.871877Z digest=sha256:85a68bdeb32e57295ab5208050239912b2e00c4612350d75348ecb5cd1f8ac7a

Observation b41da8f6-912a-496b-a45f-9220a01b1154 · outbound

This paper cites , The convenient setting for non-quasianalytic Denjoy-Carleman Differentiable Mappings , J.

Functions with ultradifferentiable powers , The convenient setting for non-quasianalytic Denjoy-Carleman Differentiable Mappings , J

Reference 14

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verified fuzzy
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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.

source=pdf_text observed=2026-08-14T06:17:33.874948Z digest=sha256:72fbc269a5fe3993c2b9fad1e9cdde84a6e814fb7cf1ce156db221a4f95bf5d0

Observation 527bf527-ab9c-4e4a-83ef-13c6bebc2bea · outbound

This paper cites , The convenient setting for quasianalytic Denjoy-Carleman Differentiable Mappings , J.

Functions with ultradifferentiable powers , The convenient setting for quasianalytic Denjoy-Carleman Differentiable Mappings , J

Reference 15

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raw_fallback, observed 2026-08-14T06:17:34.044202Z

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.

source=pdf_text observed=2026-08-14T06:17:33.878224Z digest=sha256:0f76ee0786de40fd52bc23d9c71883e569b8102a5d0a8c4988b9a445d16201ae

Observation a6af1c66-81df-437b-a20f-e1149473dd5b · outbound

This paper cites Structure theorems and a character ization, J.

Functions with ultradifferentiable powers Structure theorems and a character ization, J

Reference 16

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raw_fallback, observed 2026-08-14T06:17:34.034194Z

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.

source=pdf_text observed=2026-08-14T06:17:33.881481Z digest=sha256:0f8036745ae24f2591080e2064857a1f44c8ad3f2fc4504b3faacfe48b974a16

Observation be05d1f0-a50f-4518-8c28-04dce62ed91c · outbound

This paper cites Quasianalytic ultradifferentiability cannot be tested in lower dimensions.

Functions with ultradifferentiable powers Quasianalytic ultradifferentiability cannot be tested in lower dimensions

Reference 17

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local_arxiv, observed 2026-08-14T06:17:33.940337Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T06:17:33.884607Z digest=sha256:2669896a2220a0bdc2643ea32bf180df1f4085352c3619323a201bbfe087b872

Observation a08d0b22-ed87-4704-b57d-820053bc22df · outbound

This paper cites , Arc-smooth functions on closed sets , Compositio Math.

Functions with ultradifferentiable powers , Arc-smooth functions on closed sets , Compositio Math

Reference 18

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T06:17:33.888350Z digest=sha256:e9e34dd30504f00efc287224f1f7a6435ace99c1cac6dfb25e92beeb11168de8

Observation 6a10b728-d07a-4362-82c5-0581c60bd7eb · outbound

This paper cites , Methods of modern mathematical physics, Vol.

Functions with ultradifferentiable powers , Methods of modern mathematical physics, Vol

Reference 19

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T06:17:33.891878Z digest=sha256:9d572ece621e50f4ef136797e43008061d3d3af4cb98c5aabbe3f31371d3f685

Observation b06619cd-1a56-4d26-81f4-1cd5c12d0500 · outbound

This paper cites , Flat functions in Carleman ultraholomorphic classes via pr oximate orders , J.

Functions with ultradifferentiable powers , Flat functions in Carleman ultraholomorphic classes via pr oximate orders , J

Reference 20

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raw_fallback, observed 2026-08-14T06:17:34.004487Z

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.

source=pdf_text observed=2026-08-14T06:17:33.895374Z digest=sha256:90f50ee588873623a4acbcc74782d3863dd7f024b5e77ae1436724aeb30b3a24

Observation 09cb9d94-0919-435f-a45e-bb8db03c9300 · outbound

This paper cites , Germes de détermination infinie dans des classes lisses , Manuscripta Math.

Functions with ultradifferentiable powers , Germes de détermination infinie dans des classes lisses , Manuscripta Math

Reference 21

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raw_fallback, observed 2026-08-14T06:17:33.994084Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 273f1f30-afcf-4abf-8f99-a7308531416d · outbound

This paper cites , On closed ideals in smooth classes , Math.

Functions with ultradifferentiable powers , On closed ideals in smooth classes , Math

Reference 22

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T06:17:33.901854Z digest=sha256:82e76599d15c9c3ea0b38de328dfbbd6c066028021f3455b3df1be9a2634f7ae

Observation 2f27794d-91c3-48bd-8d97-492bb19c10e2 · outbound

This paper cites , On quasianalytic local rings , Expo.

Functions with ultradifferentiable powers , On quasianalytic local rings , Expo

Reference 23

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raw_fallback, observed 2026-08-14T06:17:33.974604Z

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.

source=pdf_text observed=2026-08-14T06:17:33.905239Z digest=sha256:79aa40e3e8c096994f61de0d42f40dbb87d66cf051f018f38e5a7ebaadd1e720

Observation f5d92a69-c2c4-4793-acb7-0a2b06490d76 · outbound

This paper cites , Smooth solutions of quasianalytic or ultraholomorphic equ ations, Monatsh.

Functions with ultradifferentiable powers , Smooth solutions of quasianalytic or ultraholomorphic equ ations, Monatsh

Reference 24

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Pith citing papers

No inbound Pith citation observations are available.