Paper Citation Record · LEDGER

Sobolev spaces on snowtrees

As of 12 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2606.30927.

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

pith.paper-citation-record.v1
2606.30927 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T10:27:56.237490Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

36 of 36 outbound references displayed

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unresolved36
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External citation measurements

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Outbound references

Observation 794bb9d4-d857-4e95-8a7a-314a9aec6c5a · outbound

This paper cites Chrontsios-Garitsis.

Sobolev spaces on snowtrees Chrontsios-Garitsis

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation ac5a23d8-2c8d-445f-9daa-67a3642c7490 · outbound

This paper cites Construction of self-similar energy forms and singularity of Sobolev spaces on Laakso-type fractal spaces.

Sobolev spaces on snowtrees Construction of self-similar energy forms and singularity of Sobolev spaces on Laakso-type fractal spaces

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation f89df3c4-b3ac-4acf-b285-ce9dd6ecc983 · outbound

This paper cites Functions of bounded variation and free discontinuity problems.

Sobolev spaces on snowtrees Functions of bounded variation and free discontinuity problems

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation a067fff4-d687-47f3-994c-7711f026950c · outbound

This paper cites u rich. Birkh\.

Sobolev spaces on snowtrees u rich. Birkh\

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 22bc46eb-1f06-4514-8a7e-35e32091e2a6 · outbound

This paper cites The continuum random tree.

Sobolev spaces on snowtrees The continuum random tree

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation a515572f-548d-49e6-9f9f-a95e4482a0c8 · outbound

This paper cites The continuum random tree.

Sobolev spaces on snowtrees The continuum random tree

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation b9734e94-b6bb-4e7b-9bbf-22310e862678 · outbound

This paper cites an unresolved cited work.

Sobolev spaces on snowtrees Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation e1c73d68-0606-4c8e-bde9-0b748b4fe912 · outbound

This paper cites Barlow, Richard F.

Sobolev spaces on snowtrees Barlow, Richard F

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation bc37b704-f2ba-41af-959d-91bfc59caee4 · outbound

This paper cites Sobolev spaces and P oincar\'e inequalities on the V icsek fractal.

Sobolev spaces on snowtrees Sobolev spaces and P oincar\'e inequalities on the V icsek fractal

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation af26aa9b-bf02-4625-ba06-4ebc45a0cb3b · outbound

This paper cites Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees.

Sobolev spaces on snowtrees Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 1662d31e-285b-407f-876d-2ed19ca7035c · outbound

This paper cites Uniformly branching trees.

Sobolev spaces on snowtrees Uniformly branching trees

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation d2cb4745-d67f-4638-b2dc-7314a338b975 · outbound

This paper cites The continuum self-similar tree.

Sobolev spaces on snowtrees The continuum self-similar tree

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation eb00e077-ca2d-4b63-a2b0-dd779c68b171 · outbound

This paper cites Chrontsios-Garitsis.

Sobolev spaces on snowtrees Chrontsios-Garitsis

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 7c0cf5f7-559f-4c06-8a68-d1c8500e9dcc · outbound

This paper cites Chrontsios-Garitsis.

Sobolev spaces on snowtrees Chrontsios-Garitsis

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation df5a3dd5-49df-4e39-9760-fb21e7d4c4bc · outbound

This paper cites Chrontsios-Garitsis, Fotis Ioannidis, and Vyron Vellis.

Sobolev spaces on snowtrees Chrontsios-Garitsis, Fotis Ioannidis, and Vyron Vellis

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 67bab2aa-7e98-4dbc-9253-fbfdd7852b5f · outbound

This paper cites Chrontsios Garitsis and Jeremy T.

Sobolev spaces on snowtrees Chrontsios Garitsis and Jeremy T

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 751aab6d-abd6-4813-845d-2616b2551fee · outbound

This paper cites an unresolved cited work.

Sobolev spaces on snowtrees Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 20043130-1f9a-4426-9c22-19d4b29278bd · outbound

This paper cites Strichartz, and Miles Wheeler.

Sobolev spaces on snowtrees Strichartz, and Miles Wheeler

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 657b2339-90a1-4975-affe-57bc184561f1 · outbound

This paper cites Fraser and Jeremy T.

Sobolev spaces on snowtrees Fraser and Jeremy T

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 6a29b72c-08c3-4627-ba19-727dccdd4cf2 · outbound

This paper cites Dirichlet forms and critical exponents on fractals.

Sobolev spaces on snowtrees Dirichlet forms and critical exponents on fractals

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 191d6742-ef57-4e87-a18a-a0d45bee6448 · outbound

This paper cites Sobolev spaces on an arbitrary metric space.

Sobolev spaces on snowtrees Sobolev spaces on an arbitrary metric space

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation b734b695-7e7f-4be4-8b14-09c30089f392 · outbound

This paper cites Sobolev meets P oincar\' e.

Sobolev spaces on snowtrees Sobolev meets P oincar\' e

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 6c06c617-d566-4a2c-b71d-ddd7ae6b0164 · outbound

This paper cites an unresolved cited work.

Sobolev spaces on snowtrees Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 13d89825-762e-4ad0-a919-bac4e2a927a1 · outbound

This paper cites an unresolved cited work.

Sobolev spaces on snowtrees Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation c74c692e-b988-4f72-a13f-f351472f0162 · outbound

This paper cites Herron and Volker Mayer.

Sobolev spaces on snowtrees Herron and Volker Mayer

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 3c3b9e98-210e-4ed1-8245-b4d00a0d55ce · outbound

This paper cites Brownian motion on fractals and function spaces.

Sobolev spaces on snowtrees Brownian motion on fractals and function spaces

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 39d926b3-70ba-4d07-9b0f-3d1131dda813 · outbound

This paper cites an unresolved cited work.

Sobolev spaces on snowtrees Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation c033d224-6d7f-47e0-9690-57412e7e0134 · outbound

This paper cites Analysis on fractals , volume 143 of Cambridge Tracts in Mathematics.

Sobolev spaces on snowtrees Analysis on fractals , volume 143 of Cambridge Tracts in Mathematics

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation e378b054-1dbd-4168-a116-6ff213b0a38b · outbound

This paper cites Conformal dimension and boundaries of planar domains.

Sobolev spaces on snowtrees Conformal dimension and boundaries of planar domains

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation d07584c5-ebf4-4414-8167-cb0efa54900a · outbound

This paper cites Korevaar and Richard M.

Sobolev spaces on snowtrees Korevaar and Richard M

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation ee3b5b65-b0ab-4195-94ea-ff0f0b7567b2 · outbound

This paper cites How many diffusions exist on the V icsek snowflake? Acta Appl.

Sobolev spaces on snowtrees How many diffusions exist on the V icsek snowflake? Acta Appl

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation ea88420c-eb7b-4ce8-8b03-8c718e5198e2 · outbound

This paper cites First-order S obolev spaces, self-similar energies and energy measures on the S ierpi\'nski carpet.

Sobolev spaces on snowtrees First-order S obolev spaces, self-similar energies and energy measures on the S ierpi\'nski carpet

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation ff26d044-74d5-4cb4-acc5-ee1b92bab7fb · outbound

This paper cites Nadler, Jr.

Sobolev spaces on snowtrees Nadler, Jr

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation bac9811e-39f5-4110-a6a4-a4598f13c56c · outbound

This paper cites Newtonian spaces: an extension of S obolev spaces to metric measure spaces.

Sobolev spaces on snowtrees Newtonian spaces: an extension of S obolev spaces to metric measure spaces

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 8ad6067b-db17-45d9-8024-a6375506d090 · outbound

This paper cites Fractal models for diffusion controlled aggregation.

Sobolev spaces on snowtrees Fractal models for diffusion controlled aggregation

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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Observation 54bd7f70-f5f8-4a8f-9864-24b7b3c785eb · outbound

This paper cites Spectral analysis of L aplacians on the V icsek set.

Sobolev spaces on snowtrees Spectral analysis of L aplacians on the V icsek set

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

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