Pith. sign in

Paper Citation Record · LEDGER

On real-valued functions of Lipschitz type

As of 19 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 2026-08-18T06:34:40.430872+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

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  • 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 2026-08-18T06:34:40.430872+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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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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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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.510945Z digest=sha256:8d1baa3899d6b759a53cb9816728e260859c4a81a028b5f12df30a3ae2818f62

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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.551013Z digest=sha256:3949e0f0166b3a6601436ca9e51e91face540fe834dd9a6645e241b71c77ad79

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.559715Z digest=sha256:e67f226bf5f2ec9c3a8e2cf3b94f6dc6774c868ba4b3d71ce4f3efb8a7774b0e

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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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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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.601727Z digest=sha256:0508fb8fe645b3179805e76f3bbf4692d8523d01a5c893da1801e2508a0b8955

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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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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parse uncertain
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.638483Z digest=sha256:c75cb24d3b75a53032802fedf8b73d05bd1ba2e1949c5f161732feb6060d2f0b

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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.651492Z digest=sha256:8b6150f91814ceb1383cdcda8254f7f7faa1644143128bc4afc2b6910bbf30fb

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.658533Z digest=sha256:8dc87b0cadc24bec9ea7cf1c85a0694c463319055df8f13136eb0da5b5343d83

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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.700432Z digest=sha256:050d2a7b72f9d408de8b79025f19ac3b52442e9f85e4d9a6d7e00687a63116d4

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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.710042Z digest=sha256:d0ddee3988acab27f4c7238bf3588724ae5626dbe2f355bc055097cc13a68037

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

Resolution
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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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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=sha256:763c9bee3f9763416a02f1cd72c3914e7550e94f4989637764c670cb7d1902a6

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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raw_fallback, observed 2026-08-12T12:01:41.747627Z

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source=pdf_text observed=2026-08-12T12:01:40.739058Z digest=sha256:53953af974559f985034dad05d748fc49d9e14cdc1ecb0a37774fbc91aaf31f8

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:e728020c13cdd6ae03ea9b5dce7922f27001a72a23952db4f89be147cd306652

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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.765386Z digest=sha256:51bffbf5b33dea98d886695684fab03faf3ce63fdb3fe8c60bbfc1ea2d5e2c51

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

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raw_fallback, observed 2026-08-12T12:01:41.550948Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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

Resolution
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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.783853Z digest=sha256:7cddfa1fc7e71b958d72bc621a6000bccd56238adea38fd67829da2f636ce795

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.793944Z digest=sha256:b3672ba334689d251cf019a8ea41ddcd8ca46ef434e849a8a7fe32669372928f

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

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.805810Z digest=sha256:56a2100b21de15566414f2faddb92e2ea31c2616c3e90f458968d27bee0a8c0d

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

Resolution
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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.816395Z digest=sha256:9972aa2823786c2c33dc3b7213cdd47476abc0ddb8f0c31270ce98887a2dbeff

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

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.827343Z digest=sha256:9812e36a51762b9bc7ae97cefc3b400b8986e4b991dc056637b142b55bf0ca6c

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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.850608Z digest=sha256:69a675e8779a7f86c43f43ef7e7e3caf1951afd08123d12120df0b24ef5e859e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.860453Z digest=sha256:7cf5b73d09f24410a3a4852befa725462f8e26adb53f28b57f2268ada918a162

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.873252Z digest=sha256:e8f7894fa19c2c62ddd1450e3c809491817bc641bba5225edcfd5344e574de79

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.891088Z digest=sha256:7bc2456cb416defb40c73bbe4f46f2c7c072b2f301d831e1a722cd637164433e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.909555Z digest=sha256:a8e4113e93daca60bd30f1acd1777121b8c627ef410ccd8b890f86dbb6a99f6f

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.932319Z digest=sha256:2b37a3eb7223860ce7b81486c459aead5557600f335319988bf08eb52d63b5f9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.942210Z digest=sha256:d21dec05e3df72c9b81a86274b3cca035e6878b2b056eb411701ae41c05b2d14

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.952999Z digest=sha256:57a0b6ee167b361fc3c55440cf05ac25c7fb8ace3d9ed0ff2f144f67b9ef0d0e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T12:01:40.961565Z digest=sha256:4b6bbd7d1e364ba207fee714e92506e5e9771d48ec45a3f77828dffaf6a52059

Pith citing papers

No inbound Pith citation observations are available.