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Paper Citation Record · LEDGER

Structure of Metric $1$-currents: approximation by normal currents and representation results

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2508.08017.

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

pith.paper-citation-record.v1
2508.08017 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T21:56:44.652618Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T12:08:59.104553Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-02T01:16:25.378561Z

Reference resolution

32 of 32 outbound references displayed

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  • unresolved11
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b4eed99e-74c9-41c2-b992-fd75659ff9d8 · outbound

This paper cites On the structure of flat chains with finite mass.

Structure of Metric $1$-currents: approximation by normal currents and representation results On the structure of flat chains with finite mass

Reference 1

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verified exact
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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 86421d6e-2348-4dcc-80f6-bbd161e46581 · outbound

This paper cites Ambrosio, N.

Structure of Metric $1$-currents: approximation by normal currents and representation results Ambrosio, N

Reference 2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation b6dd53c7-a853-4960-a00c-bab628703567 · outbound

This paper cites Ambrosio and B.

Structure of Metric $1$-currents: approximation by normal currents and representation results Ambrosio and B

Reference 3

Resolution
verified fuzzy
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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 fc1fd36e-8500-49dd-880f-ada21bcfdfd5 · outbound

This paper cites The superposition principle for local 1-dimensional currents.

Structure of Metric $1$-currents: approximation by normal currents and representation results The superposition principle for local 1-dimensional currents

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-05T21:56:45.463794Z

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 3c69e114-92e7-4b87-a223-51c8521c5590 · outbound

This paper cites Arroyo-Rabasa and G.

Structure of Metric $1$-currents: approximation by normal currents and representation results Arroyo-Rabasa and G

Reference 5

Resolution
verified fuzzy
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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 596e562b-f61d-4e48-be7e-2e4a34b36453 · outbound

This paper cites Geometric and analytic structures on metric spaces homeomorphic to a manifold.

Structure of Metric $1$-currents: approximation by normal currents and representation results Geometric and analytic structures on metric spaces homeomorphic to a manifold

Reference 6

Resolution
verified exact
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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 cc1940fa-4023-4075-9a01-19071ddf80a8 · outbound

This paper cites an unresolved cited work.

Structure of Metric $1$-currents: approximation by normal currents and representation results Unresolved cited work

Reference 7

Resolution
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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 76394322-9052-4ef5-9e78-522fb9e42bb9 · outbound

This paper cites Fragment-wise differentiable structures.

Structure of Metric $1$-currents: approximation by normal currents and representation results Fragment-wise differentiable structures

Reference 8

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 25f0db73-397e-4aaf-ade7-146106fa1379 · outbound

This paper cites an unresolved cited work.

Structure of Metric $1$-currents: approximation by normal currents and representation results Unresolved cited work

Reference 9

Resolution
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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 cd37e09d-5fe9-466c-913d-c6955eef2ff4 · outbound

This paper cites Alberti representations, rectifiability of metric spaces and higher integrability of measures satisfying a PDE.

Structure of Metric $1$-currents: approximation by normal currents and representation results Alberti representations, rectifiability of metric spaces and higher integrability of measures satisfying a PDE

Reference 10

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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 5715dfe0-1a24-434b-865e-e53d38537a04 · outbound

This paper cites Bonicatto, G.

Structure of Metric $1$-currents: approximation by normal currents and representation results Bonicatto, G

Reference 11

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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 9bb128c4-02eb-4da1-93ee-d00ca071036e · outbound

This paper cites an unresolved cited work.

Structure of Metric $1$-currents: approximation by normal currents and representation results Unresolved cited work

Reference 12

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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 34178cff-1764-41ed-91aa-77a8f210e603 · outbound

This paper cites Cavallucci and A.

Structure of Metric $1$-currents: approximation by normal currents and representation results Cavallucci and A

Reference 13

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verified fuzzy
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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 362bca15-6cbd-4b95-be64-6c40dcf34e8b · outbound

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Structure of Metric $1$-currents: approximation by normal currents and representation results 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.

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Observation b5d923d4-ec48-4848-96b5-83b58a8f664a · outbound

This paper cites De Philippis and F.

Structure of Metric $1$-currents: approximation by normal currents and representation results De Philippis and F

Reference 15

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Source-reported events for the cited work

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Observation 4259ae83-9391-4b64-97e7-6dfc88bde53c · outbound

This paper cites Descombes and U.

Structure of Metric $1$-currents: approximation by normal currents and representation results Descombes and U

Reference 16

Resolution
verified fuzzy
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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 1db8848d-c348-4b73-b755-3f1d61207903 · outbound

This paper cites Eriksson-Bique and E.

Structure of Metric $1$-currents: approximation by normal currents and representation results Eriksson-Bique and E

Reference 17

Resolution
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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 1ed883b6-bdc9-4c7e-b1b2-8c4c18b4ca89 · outbound

This paper cites Federer.Geometric measure theory, volume Band 153 ofDie Grundlehren der mathematischen Wis- senschaften.

Structure of Metric $1$-currents: approximation by normal currents and representation results Federer.Geometric measure theory, volume Band 153 ofDie Grundlehren der mathematischen Wis- senschaften

Reference 18

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

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Observation b3aa5dd4-614b-48ae-8276-817d478c3d7c · outbound

This paper cites Federer and W.

Structure of Metric $1$-currents: approximation by normal currents and representation results Federer and W

Reference 19

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 71c887b2-ce1a-4025-bc4d-ae12af4b94b2 · outbound

This paper cites Hajł asz, S.

Structure of Metric $1$-currents: approximation by normal currents and representation results Hajł asz, S

Reference 20

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Observation f2aa853d-7a2e-439a-bc5a-a0fddf7d05fe · outbound

This paper cites Heinonen, P.

Structure of Metric $1$-currents: approximation by normal currents and representation results Heinonen, P

Reference 21

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Observation 909427aa-d036-4cca-af34-5becee6b518d · outbound

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Structure of Metric $1$-currents: approximation by normal currents and representation results Kleiner and U

Reference 22

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Observation 8cf78b13-9321-4a22-b23c-fbbde6c499d9 · outbound

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Structure of Metric $1$-currents: approximation by normal currents and representation results Unresolved cited work

Reference 23

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

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Observation 29853a45-18b1-4c0c-a02f-8d2e8783ecbc · outbound

This paper cites Paolini and E.

Structure of Metric $1$-currents: approximation by normal currents and representation results Paolini and E

Reference 24

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

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Observation 7d0a4ad7-ee02-499c-8fa4-1c9a32510189 · outbound

This paper cites Paolini and E.

Structure of Metric $1$-currents: approximation by normal currents and representation results Paolini and E

Reference 25

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

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Observation 094a82d5-262d-47bb-bf27-dba70e1c3684 · outbound

This paper cites Quantified compactness in Lipschitz-free spaces of $[-1,1]^n$.

Structure of Metric $1$-currents: approximation by normal currents and representation results Quantified compactness in Lipschitz-free spaces of $[-1,1]^n$

Reference 26

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7e2002a9-afd8-4763-9f9c-44d63b07e3e4 · outbound

This paper cites Schioppa.

Structure of Metric $1$-currents: approximation by normal currents and representation results Schioppa

Reference 27

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

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Observation 1a2939a6-623f-45d1-adcb-6a12bd8ce4c7 · outbound

This paper cites Schioppa.

Structure of Metric $1$-currents: approximation by normal currents and representation results Schioppa

Reference 28

Resolution
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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 de749715-0c89-42e0-843e-e34e971fabb5 · outbound

This paper cites an unresolved cited work.

Structure of Metric $1$-currents: approximation by normal currents and representation results Unresolved cited work

Reference 29

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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 c7c3aa6a-2d4e-480e-95f6-948bd2277cc6 · outbound

This paper cites Hyperbolic groups and spherical minimal surfaces.

Structure of Metric $1$-currents: approximation by normal currents and representation results Hyperbolic groups and spherical minimal surfaces

Reference 30

Resolution
verified exact
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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 f6f1a3eb-7190-410b-8e4b-c314af9c0090 · outbound

This paper cites Weaver.Lipschitz algebras.

Structure of Metric $1$-currents: approximation by normal currents and representation results Weaver.Lipschitz algebras

Reference 31

Resolution
verified fuzzy
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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 32ab72c0-05f7-4cd0-bc7c-0743b1a1b025 · outbound

This paper cites an unresolved cited work.

Structure of Metric $1$-currents: approximation by normal currents and representation results Unresolved cited work

Reference 32

Resolution
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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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Pith citing papers

Observation a04586db-8f0f-4d35-b494-73cbf6aec2d2 · inbound

Lipschitz-free spaces and purely 1-unrectifiable metric spaces cites this paper.

Lipschitz-free spaces and purely 1-unrectifiable metric spaces Structure of Metric $1$-currents: approximation by normal currents and representation results

Reference 13

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arxiv_id, observed 2026-07-02T01:16:25.379902Z

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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