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Paper Citation Record · LEDGER

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples

As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.07713.

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

pith.paper-citation-record.v1
1908.07713 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:18:05.028529Z

measured 25 of 25 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

25 of 25 outbound references displayed

  • verified exact3
  • verified fuzzy14
  • unresolved7
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d8507b17-23f8-44e5-8247-519a7ef16aec · outbound

This paper cites Belitskii, The Sternberg theorem for a Banach space, Funct.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Belitskii, The Sternberg theorem for a Banach space, Funct

Reference 1

Resolution
malformed identifier
raw_fallback, observed 2026-08-14T12:18:05.359299Z

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=arxiv_source observed=2026-08-14T12:18:04.934902Z digest=sha256:1c2d2d6b140f271f88743167dda0f259a74e020b5d1359575d746f676e44fda7

Observation 58356663-3d7d-46c7-8352-90c396a64165 · outbound

This paper cites Belitskii, V.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Belitskii, V

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-14T12:18:05.349097Z

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=arxiv_source observed=2026-08-14T12:18:04.939308Z digest=sha256:346057aa00f1f5ddc341db4516cf75be72b9b4766aff230c7496eff3e3cb7af8

Observation 12ea97a5-5d44-43b4-9961-e2dd12d2c9a5 · outbound

This paper cites Belitskii, V.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Belitskii, V

Reference 3

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raw_fallback, observed 2026-08-14T12:18:05.339060Z

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 2c345bca-dcc7-49bc-8900-430bf4577e93 · outbound

This paper cites Belitskii and V.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Belitskii and V

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-14T12:18:05.328568Z

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=arxiv_source observed=2026-08-14T12:18:04.947571Z digest=sha256:49e6004ad189a3993c0fc13e9c175bf01887a3963064c2fe7730d5d579cf2547

Observation eea3c40f-cb83-4de9-9d6f-05e252c8b2dd · outbound

This paper cites Extension of differentiable local mappings on linear topological spaces.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Extension of differentiable local mappings on linear topological spaces

Reference 5

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verified exact
local_arxiv, observed 2026-08-14T12:18:05.166440Z

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=arxiv_source observed=2026-08-14T12:18:04.951792Z digest=sha256:02b5be8fcb9aaf5ef1e61c35a58ad84a34efe754034858a929c2f0ad07a706ee

Observation ed0866ed-75b1-4332-a34b-c5802d7bc337 · outbound

This paper cites D'Alessandro and P.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples D'Alessandro and P

Reference 6

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verified fuzzy
raw_fallback, observed 2026-08-14T12:18:05.317456Z

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=arxiv_source observed=2026-08-14T12:18:04.956200Z digest=sha256:e732e25b03a5cc3cf2f8174d56f15fae9c4dadb09af5c2e6357d4406f506992b

Observation dcd3aa86-48d3-4c9b-8c97-40db7ef68bad · outbound

This paper cites Guysinsky, B.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Guysinsky, B

Reference 7

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raw_fallback, observed 2026-08-14T12:18:05.307613Z

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=arxiv_source observed=2026-08-14T12:18:04.960300Z digest=sha256:54acb15f963d2ec1c5498d1fe8104f6154c4874edc5b73385b79cf990014ad19

Observation a838ce66-2cfa-448c-b5e5-2de4f3400b45 · outbound

This paper cites Hajek and M.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Hajek and M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:18:05.296263Z

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=arxiv_source observed=2026-08-14T12:18:04.964098Z digest=sha256:4e6c5efc7af8f79392a0226b8899bbaa7926821a34caf90b44ef4f6f7614d426

Observation f1ff4280-57ba-4205-aff3-b9194ed3d854 · outbound

This paper cites Meshkov, Smoothness properties in Banach spaces, Studia Mathematica, 63 (1978), 111--123.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Meshkov, Smoothness properties in Banach spaces, Studia Mathematica, 63 (1978), 111--123

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:18:05.285278Z

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=arxiv_source observed=2026-08-14T12:18:04.968104Z digest=sha256:16f55aad18798ca4d0229ca6d75ab1bcdcd759fb042842080a3619c78f6e752a

Observation d68a4ca6-cb77-4305-bf59-9ee1465ff8e3 · outbound

This paper cites The cohomological equations in nonsmooth categories.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples The cohomological equations in nonsmooth categories

Reference 10

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verified exact
local_arxiv, observed 2026-08-14T12:18:05.150316Z

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=arxiv_source observed=2026-08-14T12:18:04.971610Z digest=sha256:94410e55fffc134831a5ee49fd73901e1649f0e57703b0c962ee727605d50cc7

Observation bb118fd7-670b-4b5e-9e2b-526f5e4c2024 · outbound

This paper cites Nitecki, Differentiable Dynamics.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Nitecki, Differentiable Dynamics

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:18:05.274842Z

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=arxiv_source observed=2026-08-14T12:18:04.975748Z digest=sha256:eadca73a884acee5ca163544ab4d560e0156735a26c087ba3760695502189741

Observation 36e7d1c5-baeb-4b26-af3e-81b2a8e05670 · outbound

This paper cites Palis, Local Structure of Hyperbolic Fixed Points in Banach Space, Anais da Academia Brasileira de Ciencias, 40 (1968), 263--266.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Palis, Local Structure of Hyperbolic Fixed Points in Banach Space, Anais da Academia Brasileira de Ciencias, 40 (1968), 263--266

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:18:05.264846Z

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=arxiv_source observed=2026-08-14T12:18:04.979053Z digest=sha256:a81dc831c6d34e566020f872974c166007aef9423d98d58b61e455acc915f50f

Observation 193a6283-5f88-4e4c-9313-8abfa71486bd · outbound

This paper cites an unresolved cited work.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Unresolved cited work

Reference 13

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raw_fallback, observed 2026-08-14T12:18:05.253641Z

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=arxiv_source observed=2026-08-14T12:18:04.983219Z digest=sha256:1ead5293a019d7cc8eb0122d1bd6150376a3654355e65a4dbebcdb0c8371a647

Observation 1690ba09-30e7-429f-95fe-4495070134ba · outbound

This paper cites Rayskin, Theorem of Sternberg-Chen modulo central manifold for Banach spaces, Ergodic Theory & Dynamical Systems, 29 (2009), no.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Rayskin, Theorem of Sternberg-Chen modulo central manifold for Banach spaces, Ergodic Theory & Dynamical Systems, 29 (2009), no

Reference 14

Resolution
verified exact
doi, observed 2026-08-14T12:18:05.076242Z

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=arxiv_source observed=2026-08-14T12:18:04.986675Z digest=sha256:cdf60fff7d84e9530186b60bf29d704bbee694f9bca8ce60d6feb5afd8f4f165

Observation 2ea57aa8-534d-4de4-a4a9-e7d68b115035 · outbound

This paper cites Rayskin, -H \"o lder linearization , Journal of Differential Equations (1998) 147 2 271 - 284 pp.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Rayskin, -H \"o lder linearization , Journal of Differential Equations (1998) 147 2 271 - 284 pp

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:18:05.241744Z

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=arxiv_source observed=2026-08-14T12:18:04.990335Z digest=sha256:692ae8bdeadd801490f4fb3a2a72ad697b85a8f7ce420ca83e78cb4a000aba6d

Observation 07b551dd-e400-4bba-9995-e74a41962bc8 · outbound

This paper cites Soboleff Sur un th \'e or \`e me d'analyse fonctionnelle , Rec.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Soboleff Sur un th \'e or \`e me d'analyse fonctionnelle , Rec

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:18:05.231004Z

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=arxiv_source observed=2026-08-14T12:18:04.993741Z digest=sha256:66c87731f0f8f28e57c8c81a6f954a62d1a544b7da20babed11c3fabdd52dfd3

Observation 6f5e6c58-1f68-428f-88a6-723edc743e63 · outbound

This paper cites Sternberg, On the structure if local homeomorphisms of Euclidean n-space II, Amer.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Sternberg, On the structure if local homeomorphisms of Euclidean n-space II, Amer

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:18:05.219340Z

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=arxiv_source observed=2026-08-14T12:18:04.997203Z digest=sha256:a0436adbc20ff9a1d40c941a07cfc139b83264d8c7fad23e1e73320004cffc80

Observation a2e931b3-7a46-4a55-a97d-c910002cd67e · outbound

This paper cites van Strien, Smooth linearization of hyperbolic fixed points without resonance conditions, Journal of Differential Equations, (1990), 85, 1 , 66 - 90 pp.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples van Strien, Smooth linearization of hyperbolic fixed points without resonance conditions, Journal of Differential Equations, (1990), 85, 1 , 66 - 90 pp

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:18:05.208097Z

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=arxiv_source observed=2026-08-14T12:18:05.001110Z digest=sha256:95372c9340ecf35b067f92864331b013c8681fdfc49bc3b5fb3cbdec776f828c

Observation 1236d653-541e-4b0a-8956-2ef766951f65 · outbound

This paper cites Dfifferentiability of the Conjugacy in the Harman-Grobman Theorem.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Dfifferentiability of the Conjugacy in the Harman-Grobman Theorem

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-14T12:18:05.195578Z

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 b70d6f7d-d857-4120-aa21-1829c8453c55 · outbound

This paper cites an unresolved cited work.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Unresolved cited work

Reference 20

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:18:05.009030Z digest=sha256:d5883a3a59ef757d50531901bd81ae0ce26a0e8497bde984c05204b2080c0087

Observation e6b30859-df31-4f30-a32b-473eb77dfd10 · outbound

This paper cites In: Nagel, W.E., Walter, W.V., Lehner, W.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples In: Nagel, W.E., Walter, W.V., Lehner, W

Reference 21

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unresolved
no resolver link, observed 2026-08-14T12:18:05.013306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:18:05.013306Z digest=sha256:fc7e9d14662e5c386e457891d7955e9b84b4171c012f94ac6cfc9338aaab3f5f

Observation 9f4e41a0-a85f-4b2e-8f71-3913c913d385 · outbound

This paper cites Morgan Kaufmann, San Francisco (1999).

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Morgan Kaufmann, San Francisco (1999)

Reference 22

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unresolved
no resolver link, observed 2026-08-14T12:18:05.017187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:18:05.017187Z digest=sha256:a3666f192b4b46dba1d23837350af1fd0f626c0f1871858e5a70ace087a2463d

Observation 40f45244-f5bd-4b50-ba9b-204b0369f6bf · outbound

This paper cites In: 10th IEEE International Symposium on High Performance Distributed Computing, pp.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples In: 10th IEEE International Symposium on High Performance Distributed Computing, pp

Reference 23

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no resolver link, observed 2026-08-14T12:18:05.021087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:18:05.021087Z digest=sha256:9e9e523eff24f4d34f076552579e390e1ef00a5588c3981ea234c5ef8ea1a76e

Observation 635c5ccb-9949-43c7-b391-69181928f0fc · outbound

This paper cites Technical report, Global Grid Forum (2002).

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples Technical report, Global Grid Forum (2002)

Reference 24

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no resolver link, observed 2026-08-14T12:18:05.024689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:18:05.024689Z digest=sha256:8e3ed43a5cecede720f282ea9be92d2c73919567bf5e4cf5f4726a8a557de38b

Observation cacbc047-3a39-4173-93ac-99a1ac41be77 · outbound

This paper cites http://www.ncbi.nlm.nih.gov.

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples http://www.ncbi.nlm.nih.gov

Reference 25

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unresolved
no resolver link, observed 2026-08-14T12:18:05.028529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:18:05.028529Z digest=sha256:32e6722898b23b5e3b9c271910472fd3a07fe86b9b549549706dea128ec6096f

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