Pith. sign in

Paper Citation Record · LEDGER

On real-valued functions of Lipschitz type

As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2411.17825.

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

pith.paper-citation-record.v1
2411.17825 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:01:40.961565Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

42 of 42 outbound references displayed

  • verified exact0
  • verified fuzzy31
  • unresolved10
  • parse uncertain1
  • malformed identifier0
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External citation measurements

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Outbound references

Observation 82ce6cc0-a0c6-4f62-938d-7534e39cca5e · outbound

This paper cites Aggarwal, Split Lipschitz-type functions , Topology Appl.

On real-valued functions of Lipschitz type Aggarwal, Split Lipschitz-type functions , Topology Appl

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 090fd0cb-9b7e-430e-86b4-31fef243846b · outbound

This paper cites Aggarwal and S ¸t.

On real-valued functions of Lipschitz type Aggarwal and S ¸t

Reference 2

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.471645Z digest=sha256:00b8ad2c02b5427a2fd2430577252d848f2d8641497f98e1f8e6996f9ed62bf2

Observation ea8ff163-79db-4bfa-8d20-d4c7fd875298 · outbound

This paper cites Aronsson, Extension of functions satisfying Lipschitz conditions , Ark.

On real-valued functions of Lipschitz type Aronsson, Extension of functions satisfying Lipschitz conditions , Ark

Reference 3

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.495840Z digest=sha256:dfede7fffb142b70ea9bd9edf8241ca46dff86e9d61046de0743ef9112bc1314

Observation 52dab8d9-19da-4d36-9d4e-a0fb1a12ff17 · outbound

This paper cites Baire, Sur les s´ eries ` a termes continus et tous de mˆ eme sign e.

On real-valued functions of Lipschitz type Baire, Sur les s´ eries ` a termes continus et tous de mˆ eme sign e

Reference 4

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raw_fallback, observed 2026-08-12T12:01:42.462621Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.510945Z digest=sha256:f03936d961d21b606d1bb1c8a74c20d2714fad28c4bc0e534a913f6d358f78a3

Observation 892284f7-0bd6-4b04-a6c1-3e1c2046c36d · outbound

This paper cites an unresolved cited work.

On real-valued functions of Lipschitz type Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-12T12:01:40.520338Z digest=sha256:473ed6595a5b017568896a226bfbbb60926cabf740c73a35d41ce519c359b427

Observation 26d76afd-fcc7-4093-af8d-f902ffc293ba · outbound

This paper cites Beer, Bornologies and Lipschitz analysis , Boca Raton, FL: CRC Press/Science Publish- ers, 2023.

On real-valued functions of Lipschitz type Beer, Bornologies and Lipschitz analysis , Boca Raton, FL: CRC Press/Science Publish- ers, 2023

Reference 6

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.533396Z digest=sha256:384ae9785fde8b9d0e84be38f79429a3e86fc8673facf41a509fad1ab48b32e4

Observation c7f31862-3e19-4ac5-b2cf-095c124b5666 · outbound

This paper cites Beer and M.

On real-valued functions of Lipschitz type Beer and M

Reference 7

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.551013Z digest=sha256:b1eb3635acb2888f82d8734b5d5c4af80485219b907155aa8d9a68d497d2c402

Observation 4e7621b1-1f3c-4b1b-a364-29a1ce1d31da · outbound

This paper cites Cheeger, Differentiability of Lipschitz functions on metric measure spaces, Geom.

On real-valued functions of Lipschitz type Cheeger, Differentiability of Lipschitz functions on metric measure spaces, Geom

Reference 8

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raw_fallback, observed 2026-08-12T12:01:42.308126Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.559715Z digest=sha256:c542a583ad08adc8774eef7e6cd6a2b58e2d76c06855ecd9ae30b57f2dfd8c6d

Observation 5cd578d2-dc64-42da-9c1c-44f8df951ce9 · outbound

This paper cites Cobza¸ s, R.

On real-valued functions of Lipschitz type Cobza¸ s, R

Reference 9

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.569591Z digest=sha256:b67cdbb1b035cc67e78f2939cf3e794e8c326634b35aa33c1c346d6fcc0b9a51

Observation 659426d5-afa5-4e6a-b27d-e2905d6d4e26 · outbound

This paper cites Czipszer and L.

On real-valued functions of Lipschitz type Czipszer and L

Reference 10

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source=pdf_text observed=2026-08-12T12:01:40.579441Z digest=sha256:6b68194554f321616bda408a53bb0d30a54f6980f63da0644d2f065d8b73bb2d

Observation 7a86fedd-df00-447d-9a66-8907f73adfd9 · outbound

This paper cites De Marco and R.

On real-valued functions of Lipschitz type De Marco and R

Reference 11

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Observation 1386dda8-fd88-49a3-8e1a-a50e0b4b3a3a · outbound

This paper cites an unresolved cited work.

On real-valued functions of Lipschitz type Unresolved cited work

Reference 12

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.601727Z digest=sha256:76828b62aa493d109466a9ff617a84d45c5b03f404398c5656fdc4ac44badcfb

Observation ba2c6fec-7512-41ae-be32-c3f30189b27f · outbound

This paper cites Dugundji, An extension of Tietze’s theorem , Pacific J.

On real-valued functions of Lipschitz type Dugundji, An extension of Tietze’s theorem , Pacific J

Reference 13

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source=pdf_text observed=2026-08-12T12:01:40.612306Z digest=sha256:c2a4a31e77ce7ff803f20f928cc011b2b80990611183127f4ef7ffbe7445e67f

Observation 09f3e84f-8c54-4e3c-aa62-0ae827b42d9d · outbound

This paper cites an unresolved cited work.

On real-valued functions of Lipschitz type Unresolved cited work

Reference 14

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.622725Z digest=sha256:17fcff54d5043953843fe989514eb2e8ff0f0330b27ccfde56a9f7e2cb15828f

Observation 7db489f7-bfe6-48c0-8ed0-c022e9cba202 · outbound

This paper cites Durand-Cartagena and J.

On real-valued functions of Lipschitz type Durand-Cartagena and J

Reference 15

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.638483Z digest=sha256:4d59544e021d2789550c39d1817a6346eba5c977f67f9a6cf7c1d124e8a87723

Observation ae663577-2364-4693-bc3d-236bb1b49920 · outbound

This paper cites Engelking, General topology, revised and completed edition , Heldermann Verlag, Berlin, 1989.

On real-valued functions of Lipschitz type Engelking, General topology, revised and completed edition , Heldermann Verlag, Berlin, 1989

Reference 16

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source=pdf_text observed=2026-08-12T12:01:40.651492Z digest=sha256:57d1a1de7def89b2ab868c109b5c3475e55c304dd3acaf55a849ee727dc2d322

Observation 646eef93-22d3-4e2f-8510-fc39965b09d7 · outbound

This paper cites Fathi, Partitions of unity for countable covers , Amer.

On real-valued functions of Lipschitz type Fathi, Partitions of unity for countable covers , Amer

Reference 17

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.658533Z digest=sha256:2e6cd315ff07aa03c836ffdd4a0cff1f059f5621ba037519d1e8e2c5c6d7d639

Observation dc0ea1b5-fd78-4a84-a923-cc69146e3fb6 · outbound

This paper cites Frol ´ ık,Existence of ℓ∞ -partitions of unity , Rend.

On real-valued functions of Lipschitz type Frol ´ ık,Existence of ℓ∞ -partitions of unity , Rend

Reference 18

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Observation f555d8a8-87bd-45a5-b0c9-2642ef1308e4 · outbound

This paper cites an unresolved cited work.

On real-valued functions of Lipschitz type Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-12T12:01:40.700432Z digest=sha256:5361587244a6e834711522609aa306df2d801c16aff47df8a76a70a83502c8f8

Observation 76f7def9-cf12-445c-9fc2-b5c2fec960b1 · outbound

This paper cites an unresolved cited work.

On real-valued functions of Lipschitz type Unresolved cited work

Reference 20

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raw_fallback, observed 2026-08-12T12:01:41.909279Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.710042Z digest=sha256:7e6c6f7e8f4d80e97f5c46bf6b7a8277daf0d99ddbaf9fb945d2ce0f4fdc97ae

Observation b441eaee-d089-459f-8d15-a87a4b3fafb0 · outbound

This paper cites Gutev, Lipschitz extensions and approximations , J.

On real-valued functions of Lipschitz type Gutev, Lipschitz extensions and approximations , J

Reference 21

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raw_fallback, observed 2026-08-12T12:01:41.862408Z

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source=pdf_text observed=2026-08-12T12:01:40.716201Z digest=sha256:9373f1920a4fe8dba6e173a9213c5a3cb4b8d30d8c02f42a99e0747b1ebc265b

Observation e7ca92a9-6560-4309-894d-7ee5b6312b1f · outbound

This paper cites Hahn, ¨Uber halbstetige und unstetige Funktionen , Wien.

On real-valued functions of Lipschitz type Hahn, ¨Uber halbstetige und unstetige Funktionen , Wien

Reference 23

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source=pdf_text observed=2026-08-12T12:01:40.723573Z digest=sha256:e39801061d7d8a267653725bd1d4b6bc42fc0f9680ac20e3f831ef8ed4e49430

Observation 9b3f3695-9f5c-4f4c-888d-071f65b9f8d5 · outbound

This paper cites Springer, 1921 (German).

On real-valued functions of Lipschitz type Springer, 1921 (German)

Reference 24

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source=pdf_text observed=2026-08-12T12:01:40.732938Z digest=sha256:e48deb45f0b8ae83bcffac19d9a2f6b2566dd5edf7bb3f4c781925f18a23cbc7

Observation 2b5c589d-ac55-4a5c-89f5-990ce34d557a · outbound

This paper cites Hausdorff, ¨Uber halbstetige Funktionen und deren Verallgemeinerung , Math.

On real-valued functions of Lipschitz type Hausdorff, ¨Uber halbstetige Funktionen und deren Verallgemeinerung , Math

Reference 25

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source=pdf_text observed=2026-08-12T12:01:40.739058Z digest=sha256:3dcaed82ac8c9aa7e8cdc4d7d9d42930ad26095b3cfff25a85f6aa31e4c78509

Observation 1591ee05-a7d9-4c48-852d-6685dc0d8e50 · outbound

This paper cites Heinonen, Lectures on analysis on metric spaces , Universitext, Springer-Verlag, New York, 2001.

On real-valued functions of Lipschitz type Heinonen, Lectures on analysis on metric spaces , Universitext, Springer-Verlag, New York, 2001

Reference 26

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raw_fallback, observed 2026-08-12T12:01:41.687274Z

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source=pdf_text observed=2026-08-12T12:01:40.746312Z digest=sha256:80218b9557ba62002f7c675f9e8327439bdf2fe234d86032b1ebf8958e55b948

Observation 6a112e1e-604c-42d6-b6f2-bdec2655ec13 · outbound

This paper cites an unresolved cited work.

On real-valued functions of Lipschitz type Unresolved cited work

Reference 27

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Observation e853b727-2a46-432e-a25a-e8ad3baf573f · outbound

This paper cites Keith, A differentiable structure for metric measure spaces , Adv.

On real-valued functions of Lipschitz type Keith, A differentiable structure for metric measure spaces , Adv

Reference 28

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raw_fallback, observed 2026-08-12T12:01:41.585652Z

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source=pdf_text observed=2026-08-12T12:01:40.765386Z digest=sha256:98f054d6b881a56749b8cafa2aee2dae1063c7626951f5998be75170af9351c0

Observation 413c86b7-4063-4ad8-bc6a-156d42f45378 · outbound

This paper cites an unresolved cited work.

On real-valued functions of Lipschitz type Unresolved cited work

Reference 29

Resolution
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.774352Z digest=sha256:6baf73bd7adacc669ee0eed22892bf6dd62960f593c20625200c0f36c1631fa9

Observation 42d33e55-5967-4b3d-968d-04d9a95ceb8e · outbound

This paper cites Luukkainen, Rings of functions in Lipschitz topology , Ann.

On real-valued functions of Lipschitz type Luukkainen, Rings of functions in Lipschitz topology , Ann

Reference 30

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raw_fallback, observed 2026-08-12T12:01:41.519727Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.783853Z digest=sha256:14caef0bbfa183e0f2c0b66b060b0018a35a2ec83678321e9ead440f55ecc2e9

Observation 751efcaf-2cb3-48a8-b289-ff2e87a27e77 · outbound

This paper cites Luukkainen and J.

On real-valued functions of Lipschitz type Luukkainen and J

Reference 31

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raw_fallback, observed 2026-08-12T12:01:41.478972Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.793944Z digest=sha256:693ed75db39eaaa2a7badec2473ab89e88cdfd4c910c6b14c192e8625ceb25de

Observation 027e4c07-233c-4170-a8a3-3de7f1d8d802 · outbound

This paper cites Mal´ y, A simple proof of the Stepanov theorem on differentiability a lmost everywhere , Expo.

On real-valued functions of Lipschitz type Mal´ y, A simple proof of the Stepanov theorem on differentiability a lmost everywhere , Expo

Reference 32

Resolution
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raw_fallback, observed 2026-08-12T12:01:41.449450Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.805810Z digest=sha256:6c1dac9dc330332fce26bbdc565098d299ce398439c3dfe2fa439f013852ec3c

Observation 0ef58950-2d58-4afb-97cb-5b70991e9055 · outbound

This paper cites an unresolved cited work.

On real-valued functions of Lipschitz type Unresolved cited work

Reference 33

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raw_fallback, observed 2026-08-12T12:01:41.379099Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.816395Z digest=sha256:6ec095fbfe8b6c3a2666f20022d4759728b0e2c6501b5216ee360fe2e87639a3

Observation 0841413b-84a0-4251-82ad-0cc8d60686fe · outbound

This paper cites Michael, Continuous selections I , Ann.

On real-valued functions of Lipschitz type Michael, Continuous selections I , Ann

Reference 34

Resolution
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raw_fallback, observed 2026-08-12T12:01:41.348533Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.827343Z digest=sha256:96d73e32f276ca7b77435def0f34742f6e7badc36e70b6a7a41017e928cb2371

Observation 05cbac37-4ea4-4a15-b4fc-013c04709dc5 · outbound

This paper cites Miculescu, Approximation of continuous functions by Lipschitz functi ons, Real Anal.

On real-valued functions of Lipschitz type Miculescu, Approximation of continuous functions by Lipschitz functi ons, Real Anal

Reference 35

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raw_fallback, observed 2026-08-12T12:01:41.319822Z

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source=pdf_text observed=2026-08-12T12:01:40.850608Z digest=sha256:ce429b0dbbf42360dfc6f32ebda7bfb78f0885c35cffe2f4b0924ebe3082f5d7

Observation 02ae7439-9467-45bb-9279-b4efb38f4e65 · outbound

This paper cites Ex- change 28 (2002/03), no.

On real-valued functions of Lipschitz type Ex- change 28 (2002/03), no

Reference 36

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raw_fallback, observed 2026-08-12T12:01:41.287587Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.860453Z digest=sha256:d822875cf8bb2491e7171f68f13993fc7cf3b9ddfac7b74c20616aabb3ec9a0f

Observation e375023a-47d4-4599-9ff0-5e99cc5b0c96 · outbound

This paper cites Rademacher, ¨Uber partielle und totale differenzierbarkeit von Funktion en mehrerer Vari- abeln und ¨ uber die Transformation der Doppelintegrale, Math.

On real-valued functions of Lipschitz type Rademacher, ¨Uber partielle und totale differenzierbarkeit von Funktion en mehrerer Vari- abeln und ¨ uber die Transformation der Doppelintegrale, Math

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:01:41.232765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.873252Z digest=sha256:c516c5a4fe64467fc2dfc82080690268f94a2984ceb83a87243a80e91e0e282f

Observation 8a07a21e-5b98-4088-a338-d5b617bb1a26 · outbound

This paper cites Sakai, Geometric aspects of general topology , Tokyo: Springer, 2013.

On real-valued functions of Lipschitz type Sakai, Geometric aspects of general topology , Tokyo: Springer, 2013

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:01:41.203311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.891088Z digest=sha256:f81d51f2a73ca40a4450013f80b958475f6e3197bcdf13da15a0c3e12c37d2b9

Observation c1e8f22a-e540-46b4-b5a2-5cc26243cb07 · outbound

This paper cites an unresolved cited work.

On real-valued functions of Lipschitz type Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:01:41.175440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.909555Z digest=sha256:e1bb77545920a2528d2a463cb0e447aa1ccef152979ef7f88d2275b43f5468c2

Observation 6a1bfa4d-42da-4a38-a938-4a863c8153c5 · outbound

This paper cites Stepanoff, ¨Uber totale Differenzierbarkeit , Math.

On real-valued functions of Lipschitz type Stepanoff, ¨Uber totale Differenzierbarkeit , Math

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:01:41.138947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.932319Z digest=sha256:e67ad553f907057221f24982473fbf7e8ad4c320df411c75aa8ef43e8a5fe405

Observation a650ac51-f9c0-4545-aa5c-59106b2be322 · outbound

This paper cites an unresolved cited work.

On real-valued functions of Lipschitz type Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:01:41.113811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.942210Z digest=sha256:1ac6f45b5ee18dd1b59ef10182cd65c51df272a3d3c0062281a5419e602a1329

Observation 1a69c4f5-c04b-4d67-aee5-18151a953b5b · outbound

This paper cites an unresolved cited work.

On real-valued functions of Lipschitz type Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:01:41.086758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.952999Z digest=sha256:ac054d6d395a20d0d4ec5a614b2085826278c84dee04b083d24f0818cd9f8698

Observation 57982018-10e7-4fce-adb6-9031348bbe24 · outbound

This paper cites Whitney, Analytic extensions of differentiable functions defined in c losed sets , Trans.

On real-valued functions of Lipschitz type Whitney, Analytic extensions of differentiable functions defined in c losed sets , Trans

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:01:41.059817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:01:40.961565Z digest=sha256:db6ed4a9f0ec0da929a08dbd01b9ac781e2f211d5b28db93d0974ad7f6d939b0

Pith citing papers

No inbound Pith citation observations are available.