Pith. sign in

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 2026-08-13T06:32:02.005865+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

  • verified exact5
  • verified fuzzy16
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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

Resolution
verified exact
local_arxiv, observed 2026-08-05T21:56:45.679759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:41.794141Z digest=sha256:8173045fb7febb11c4a7a64c8df26c420c6c6dbc754f2c1631c430294e02c195

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

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:41.867502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:41.867502Z digest=sha256:5cca1405861b41e1a108c09635c179e2d4505f711cdc3b8edebd1ee1fcb11299

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
raw_fallback, observed 2026-08-05T21:56:50.565435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:41.926258Z digest=sha256:f77059daec993e9dbd1c290e4a45e3efa10dca500260d4b2c68cd2a445f96407

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:42.022613Z digest=sha256:d448d1841d517359339d383d930d9e10d95b78931689f6b88dcbcd2e50de428a

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
raw_fallback, observed 2026-08-05T21:56:50.307896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:42.119367Z digest=sha256:83871ea98524df17c574b12fa654304f47f3adc57e9553dd6bc1ec3947762857

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
local_arxiv, observed 2026-08-05T21:56:45.257711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:42.210141Z digest=sha256:9184b5ac81c1fc0d2c1d6f8c948f580de14e4065fee03c0bf27c35371a3cb52f

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
unresolved
raw_fallback, observed 2026-08-05T21:56:50.040623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:42.305480Z digest=sha256:155ab2b7956486f68bdb4e8d7c313027b212d26ecb561ffe09f624341ac77ed0

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
unresolved
no resolver link, observed 2026-08-05T21:56:42.367644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:42.367644Z digest=sha256:733c0c041607fb39e54164a9b403ae6bf052413be57d5d7de6d424c19603e6ca

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
unresolved
raw_fallback, observed 2026-08-05T21:56:49.727617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:42.451429Z digest=sha256:cc5101b08c18901c2c70a9f96100b5e4b153b1e9c603f28fbec7b79c42cd97b7

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

Resolution
verified exact
local_arxiv, observed 2026-08-05T21:56:45.003665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:42.577069Z digest=sha256:4cc92021a2e7fc4526e92393817f6847d237ab7a75b8c10389df4b8f6925a85d

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:56:49.519850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:42.641636Z digest=sha256:69cc607af9efbacca674f11ad164d664a0797176203426ea48d8c76ae989ccd7

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

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:56:49.334601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:42.721263Z digest=sha256:23f749f90dc564899ba2b4e3f8e78e357f81b5304861c6b63fa8a62be318a9cb

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:56:49.144739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:42.895350Z digest=sha256:620b9adccbdab5a6b183e1fa5e30641ad2d312bc408e3bc3f59dd2998bf66f25

Observation 362bca15-6cbd-4b95-be64-6c40dcf34e8b · outbound

This paper cites an unresolved cited work.

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

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:56:48.926266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:43.119452Z digest=sha256:f926552b4849e7940a928c9dbb36e0c17b3a17824c55c0cd5b7466f15656c947

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:56:48.660855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:43.295786Z digest=sha256:6bc1ebfdc2700aea7b654f8acedf57b13606d3d1037b3a98248bfaace2362c07

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
raw_fallback, observed 2026-08-05T21:56:48.441416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:43.404644Z digest=sha256:77e343be9bc3ac4d546ad264508e3f0df957eb758ae5bbefa7b868bdb207c297

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
verified fuzzy
raw_fallback, observed 2026-08-05T21:56:48.252082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:43.496453Z digest=sha256:f82bca8eaf1af6d50e310d1581aafd00c7dc107b4634c0b172b49297420d78ad

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:56:48.034824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:43.583007Z digest=sha256:ff68c6a717c129024bfd40a54e8eec854b50d0da5a14b41a4db67ae3690c90a9

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

Resolution
unresolved
no resolver link, observed 2026-08-05T21:56:43.671482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:43.671482Z digest=sha256:57a7c6ec637ade173ff30d2a933e27e395af33e7b8bbbed6acb7bae32b1ce373

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:56:47.817018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:43.759812Z digest=sha256:58218ba5323d585f569f88a0c522557fe31f83021173c0b2f21b99e9c17475c3

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:56:47.588352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:43.821332Z digest=sha256:fab580babcdfd988a2abd80441b00b1a18b14643d7e48ffdef5f89582a708357

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

This paper cites Kleiner and U.

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

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:56:47.396670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:43.897724Z digest=sha256:15533375935fc6f7561dc81ca6ac26c56e9094dd81612a7823e3f56623b80c63

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

This paper cites an unresolved cited work.

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

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:56:47.206412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:43.983639Z digest=sha256:e4ea669a42fdbadddeadb596d625d2fa34a8d446fe244c4f226a074e6ef110cd

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:56:46.977868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:44.067240Z digest=sha256:71b56f88aaa39a37c2bba22d6083a083326a2d0b6dc3dab8f32525ae7aead40f

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
verified fuzzy
raw_fallback, observed 2026-08-05T21:56:46.791354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:44.140052Z digest=sha256:e126d80821dc8ac4c9482d180834422520970d3cb67c2b7be8257ac5226cd523

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
unresolved
no resolver link, observed 2026-08-05T21:56:44.215048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:56:44.215048Z digest=sha256:25cdde99f93fdcf5c2075cdc34ad03beb29cfd12d7732d1db496ae8ed26be198

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:56:46.596091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:44.309844Z digest=sha256:52c64dc935711a5c87f7864071a2f4e71a39560c8a54b0dddba9df4de34574ff

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
verified fuzzy
raw_fallback, observed 2026-08-05T21:56:46.403888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:44.399033Z digest=sha256:5c3dd0b025698472533fe6124c0f8582dc7b522da095707d014242cfa828c081

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

Resolution
unresolved
raw_fallback, observed 2026-08-05T21:56:46.220389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:44.459067Z digest=sha256:f5dc7a901dc28f05bf36e78abbd7292340dcf0519883af9ea857bed63cb53974

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
local_arxiv, observed 2026-08-05T21:56:44.866488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:44.537919Z digest=sha256:f2a9ea2efe72ca262d606270579cf1ebc43cf65d16e12dad6cf5c4dccb62501d

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
raw_fallback, observed 2026-08-05T21:56:45.996092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:44.598399Z digest=sha256:2a5eb946e3173b006075fc0f30e4a7dca8dba83586336070f89c8bff9d4dc2c6

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
unresolved
raw_fallback, observed 2026-08-05T21:56:45.809837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T21:56:44.652618Z digest=sha256:2dea280b603280d6b7afdd90277136ed7fd2a5eb2504c260992cd9959eed55e6

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

Resolution
verified exact
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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-28T12:08:59.104553Z digest=sha256:71e6f0f4bd55406dfe7867b1626dd80e144e86b695900b0353d2bebdaa94fc52