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Paper Citation Record · LEDGER

On the equivalence of BV notions in metric measure spaces

As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2606.22899.

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

pith.paper-citation-record.v1
2606.22899 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T07:00:34.401776Z

measured 30 of 30 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

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Source: cited_works

Reference resolution

30 of 30 outbound references displayed

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  • verified fuzzy0
  • unresolved29
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

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Outbound references

Observation 56a94a6c-2c32-49e0-a452-57f4b08576bb · outbound

This paper cites Ambrosio and S.

On the equivalence of BV notions in metric measure spaces Ambrosio and S

Reference 1

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:e0ec908075d7b426e2cdec1dfb64d07d1a2bab28a90ada508ac65304fcacc8c2

Observation 63cf0fac-cc01-4f7e-ab14-ad1dad42707f · outbound

This paper cites Ambrosio, S.

On the equivalence of BV notions in metric measure spaces Ambrosio, S

Reference 2

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:22cdc4e578ae879186e9527c6c5d5167fdb73f1ec0b5d018303b330bd2eb43b0

Observation dc75290c-c048-41f4-b8ec-78a4d1c21b8c · outbound

This paper cites Ambrosio, N.

On the equivalence of BV notions in metric measure spaces Ambrosio, N

Reference 3

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:7beffaf69c70bc0f3ae4e03392d4a3b0cbbca919a6d27d8625ad5368731bfc88

Observation 8ac36b6e-d259-426b-9e9e-d3f2ac21c7bf · outbound

This paper cites Ambrosio, N.

On the equivalence of BV notions in metric measure spaces Ambrosio, N

Reference 4

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:d5e276bf0d4abfe96a6ac81d2b9dfd9ef0e763670505241ae8622a029723d91a

Observation 059c8f55-64c0-4097-84fe-88d65e649302 · outbound

This paper cites Math., 195 (2014), pp.

On the equivalence of BV notions in metric measure spaces Math., 195 (2014), pp

Reference 5

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:8c3acf421451b31c9f8ac70205aa95b32736fbc0cb648c87aff95b43bcb4d518

Observation 274d77e4-cb68-46bf-b808-da9362dc5c94 · outbound

This paper cites Ambrosio, T.

On the equivalence of BV notions in metric measure spaces Ambrosio, T

Reference 6

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:2b9d80f668a737202c82e971c37765d66ffc70b821d63d29179282e4e1d34488

Observation 88d2c190-ced9-4c70-a513-e49af885bb60 · outbound

This paper cites Ambrosio and P.

On the equivalence of BV notions in metric measure spaces Ambrosio and P

Reference 7

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:d0d08dfa185c5be6aedd3b70b161c27ed1149e9f63b4e40c2e48868455c720b7

Observation b5a7cba4-3a26-4160-93a4-ef74b37548f4 · outbound

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

On the equivalence of BV notions in metric measure spaces Cheeger , Differentiability of L ipschitz functions on metric measure spaces , Geom

Reference 8

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:3bcd5c017b67a67fe9b1472d02204db1b2f9ff1552b247ce9f18ea42fa306ce4

Observation 3e68cfaf-ff6f-4fb7-9829-d0320cad4610 · outbound

This paper cites Cobza s , R.

On the equivalence of BV notions in metric measure spaces Cobza s , R

Reference 9

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:5ffa3e72d22b6bc5887d6069757d4ce2774e0da32d124e6a6017f24e167d3d9d

Observation 89040322-660a-4b63-998c-52180d0c890b · outbound

This paper cites Di Marino , Recent advances on BV and S obolev spaces in metric measure spaces , PhD thesis, Scuola Normale Superiore (Pisa), 2014.

On the equivalence of BV notions in metric measure spaces Di Marino , Recent advances on BV and S obolev spaces in metric measure spaces , PhD thesis, Scuola Normale Superiore (Pisa), 2014

Reference 10

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:27905217eb760d7b8b6b302550264f107369146e154a1ec131fa7005408650a7

Observation 4d32dab9-50b2-4d06-b57e-1380fb0fd1e9 · outbound

This paper cites Di Marino, N.

On the equivalence of BV notions in metric measure spaces Di Marino, N

Reference 11

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:d5c2c3b22b581fc6940d9b51003f372001470db91c6885984165bba9bdb5a325

Observation d5554fb9-ab69-482e-9b96-14745c511615 · outbound

This paper cites Durand-Cartagena, S.

On the equivalence of BV notions in metric measure spaces Durand-Cartagena, S

Reference 12

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:f10e363f87b43be67ca913f1d1fc3e87ef48b514bd5d1edf5e204fc09b85f938

Observation f540f01d-94fc-4df6-9e37-c23d9c0eac3b · outbound

This paper cites Gutev , Lipschitz extensions and approximations , Journal of Mathematical Analysis and Applications, 491 (2020), p.

On the equivalence of BV notions in metric measure spaces Gutev , Lipschitz extensions and approximations , Journal of Mathematical Analysis and Applications, 491 (2020), p

Reference 13

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:b1c4ca53b54e6d9ce563ab974c14510e1ea3921717ac897e6e6739556565de75

Observation a2b1070c-a375-416f-98d7-9bda5f89a5d2 · outbound

This paper cites Haj asz , Sobolev spaces on metric-measure spaces , in Heat kernels and analysis on manifolds, graphs, and metric spaces ( P aris, 2002), vol.

On the equivalence of BV notions in metric measure spaces Haj asz , Sobolev spaces on metric-measure spaces , in Heat kernels and analysis on manifolds, graphs, and metric spaces ( P aris, 2002), vol

Reference 14

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:8fac5a32fa420d8c5697feb4d7bb5e855173b4ea392da96c67311c7e665973a3

Observation 4d504e62-2a9b-4293-ac2c-34dabc0c21a9 · outbound

This paper cites Heinonen , Nonsmooth calculus , Bull.

On the equivalence of BV notions in metric measure spaces Heinonen , Nonsmooth calculus , Bull

Reference 15

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:cf1035b94feafbca83b779c43028fc650e0ae450ede64bcc96fe98579660f59f

Observation 1e6ff361-d61b-4ec9-8cbe-a29c4a24a1a5 · outbound

This paper cites Heinonen, P.

On the equivalence of BV notions in metric measure spaces Heinonen, P

Reference 16

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:60bddee25b12f2f069abc6db4d107b1fb00ed14472b0de08aa1f04cb899a4169

Observation 284945f6-e5bd-48ea-b575-d144437dd783 · outbound

This paper cites Honzlov\'a Exnerov\'a, O.

On the equivalence of BV notions in metric measure spaces Honzlov\'a Exnerov\'a, O

Reference 17

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:52fdd83bf081c535ce1297ff408da9c164aeab9c1a647dbc0dfa392a9a9d3e25

Observation ed93f499-c8d5-4fcf-a6a6-e90845ea9b83 · outbound

This paper cites Honzlov\'a Exnerov\'a, J.

On the equivalence of BV notions in metric measure spaces Honzlov\'a Exnerov\'a, J

Reference 18

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:968762c5e55b555aa314146f83a3c4b3f6cc023b8e67c63a23a3e1bbcb97d757

Observation 7657ce1f-5f62-4941-8b4c-fdb5af3bd86d · outbound

This paper cites Koskela and P.

On the equivalence of BV notions in metric measure spaces Koskela and P

Reference 19

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:dbd43ef128ef1b56485763edbe69180a861d4a4afa155bb2f787abde0529fe1a

Observation 83daee60-6f12-40a4-a97d-9e6cd1a60971 · outbound

This paper cites Martio , Functions of bounded variation and curves in metric measure spaces , Adv.

On the equivalence of BV notions in metric measure spaces Martio , Functions of bounded variation and curves in metric measure spaces , Adv

Reference 20

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:f7f45080617f9b242e5278f474a01cc5693bcb366837b0c0b5796ca1aa10f4cc

Observation 2d0122a0-7fd3-49a0-984d-12c0808dc047 · outbound

This paper cites Martio , The space of functions of bounded variation on curves in metric measure spaces , Conform.

On the equivalence of BV notions in metric measure spaces Martio , The space of functions of bounded variation on curves in metric measure spaces , Conform

Reference 21

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:a893869fc0d3a677032a57fc227926755c4a34ddd480c5d61aed61282a8af286

Observation a119c081-812c-41da-98e1-64bf6e3d0ce5 · outbound

This paper cites an unresolved cited work.

On the equivalence of BV notions in metric measure spaces Unresolved cited work

Reference 22

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:62d8c0cc90f30251b85bdc3b54fc52e595d8cc1d4e41d50bcff99997da932138

Observation 15502a74-94da-4306-a9ef-5b8d9c84ea43 · outbound

This paper cites Miranda, Jr.

On the equivalence of BV notions in metric measure spaces Miranda, Jr

Reference 23

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:1e212ed8c286c98afbd46e1770720d7e4cdaa6cfc725bd872f48595836c8f811

Observation 4f9645b8-eb66-4a0b-9360-a708eb461f31 · outbound

This paper cites Nobili, E.

On the equivalence of BV notions in metric measure spaces Nobili, E

Reference 24

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:fd4b714f2807d7acefd9a71a671fcadadef1d8d5b532ee96667f5b747c148612

Observation 983775a5-6878-4e07-a17f-ebcab589df90 · outbound

This paper cites Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions.

On the equivalence of BV notions in metric measure spaces Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions

Reference 25

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arxiv_id, observed 2026-07-29T02:24:12.581182Z

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:11b18a5886511eae49fd96b4d8d0f8f32531c177498d42b5515354a8c1a7c9bf

Observation 9155908f-2bd0-4605-a608-3f8079ab83ca · outbound

This paper cites Pasqualetto and G.

On the equivalence of BV notions in metric measure spaces Pasqualetto and G

Reference 26

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:061d767e627131c9b7592bcbbb49252cf30c107c600207190f4b76e6eefcf897

Observation fb0c5dc9-dc47-4689-b4d4-671757517605 · outbound

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On the equivalence of BV notions in metric measure spaces Unresolved cited work

Reference 27

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:db97c92e94d2be7074c0ab11060ba128b389ff9ade5590545faa92c0d98335c9

Observation 70f3a3db-98dd-4f29-951a-6702611e37a7 · outbound

This paper cites Savar\' e , Sobolev spaces in extended metric-measure spaces , in New trends on analysis and geometry in metric spaces, vol.

On the equivalence of BV notions in metric measure spaces Savar\' e , Sobolev spaces in extended metric-measure spaces , in New trends on analysis and geometry in metric spaces, vol

Reference 28

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:c937443e25bcabaacc4492076dad0afc88424e4f5e69d20759baad5ea68b9ee0

Observation 6b1985bc-8f49-4d84-874b-93ac9b60bd7c · outbound

This paper cites an unresolved cited work.

On the equivalence of BV notions in metric measure spaces Unresolved cited work

Reference 29

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:cb860e09d403efe4485d4eef00be2e902d10906ce907698c88d1694ec62bdd53

Observation 6a6c5cea-211e-4440-b307-1edd6a26a3e9 · outbound

This paper cites an unresolved cited work.

On the equivalence of BV notions in metric measure spaces Unresolved cited work

Reference 30

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source=arxiv_source observed=2026-06-26T07:00:34.401776Z digest=sha256:dbec898dab56dce971302b6bdd69af988bb4682af65ddbad52ae1d0a04b131e8

Pith citing papers

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