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Paper Citation Record · LEDGER

On the structure of optimal free Dirichlet regions in mass transportation problems

As of 20 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2606.30826.

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

pith.paper-citation-record.v1
2606.30826 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-01T01:46:20.533807Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

24 of 24 outbound references displayed

  • verified exact5
  • verified fuzzy15
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 17d08012-9694-42b3-95ba-be2b1639ac16 · outbound

This paper cites Bertsekas and Steven E.

On the structure of optimal free Dirichlet regions in mass transportation problems Bertsekas and Steven E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.414793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation c95e1789-9677-45f3-b80c-25c81ba7c48b · outbound

This paper cites 46 LUCAS D.

On the structure of optimal free Dirichlet regions in mass transportation problems 46 LUCAS D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.435614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 4aa25a58-533f-4456-ad63-9f2892f4bfe4 · outbound

This paper cites 4, 631-678.

On the structure of optimal free Dirichlet regions in mass transportation problems 4, 631-678

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.420667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f04bcf11-6422-414f-bfd0-11e6c8cf3041 · outbound

This paper cites 4, 1107-1130.

On the structure of optimal free Dirichlet regions in mass transportation problems 4, 1107-1130

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.410585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:3d9d0675cbb7d5b66dfad93564089bfb15b8bbea368093b3264cc1895756341b

Observation 2ac1f01f-0445-4040-bc1d-be8e401d9216 · outbound

This paper cites an unresolved cited work.

On the structure of optimal free Dirichlet regions in mass transportation problems Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-07-07T05:53:20.417653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:603fb3020b7388d301271c695cabf2ad2bfcc16090ab2df8be4451103decfa0b

Observation 5eafefac-20aa-498b-9d6d-d1a4a1c0bb30 · outbound

This paper cites 3, 2108-2140.

On the structure of optimal free Dirichlet regions in mass transportation problems 3, 2108-2140

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.425858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 736d3db5-8f7e-42c1-9ccc-5c37dad07f15 · outbound

This paper cites 406, 502-516.

On the structure of optimal free Dirichlet regions in mass transportation problems 406, 502-516

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.412162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:578e8cabbfc0968ee4d231dccfb7a4d021dd6ae81220caecad4856d119f24735

Observation 83453c85-7395-46b3-80d1-0f23c066d62c · outbound

This paper cites an unresolved cited work.

On the structure of optimal free Dirichlet regions in mass transportation problems Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-07T05:53:20.433468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:faa67aea370101212f87e68ce9873cbe13396efb402d6c9c3a4b4aa1671ed65d

Observation a53a637a-fa6d-4942-aa3a-ffe587156fa4 · outbound

This paper cites an unresolved cited work.

On the structure of optimal free Dirichlet regions in mass transportation problems Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-07-01T06:05:29.479184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:82de2489d607a90877f0e7b4b52bdc1964c69df782052457fcdef4f33887a540

Observation 8363a669-89d0-4aa0-a5e0-679469945d08 · outbound

This paper cites Monge-Kantorovich Fitting With Sobolev Budgets.

On the structure of optimal free Dirichlet regions in mass transportation problems Monge-Kantorovich Fitting With Sobolev Budgets

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-01T12:45:44.752647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:b0e18ab8dbdbb2418c381285b9aac30bf682fa7f87810fd82a9533cd46951ea1

Observation cb338eac-eebe-4ea5-b3ad-61d59fee944f · outbound

This paper cites Kuratowski, Topology: Volume II, Volume 2, Elsevier, Oxford, England, UK, 2014.

On the structure of optimal free Dirichlet regions in mass transportation problems Kuratowski, Topology: Volume II, Volume 2, Elsevier, Oxford, England, UK, 2014

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.409325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:0fba466fe6c5919badbadd7a6f5533650be07c0dc55fc3d7622d69a56c38d6ac

Observation d55fe1df-8849-4e41-b956-2d3865d56afc · outbound

This paper cites Lemenant, About the Regularity of Average Distance Minimizers in R2, Journal of Convex Analysis 18 (2011), no.

On the structure of optimal free Dirichlet regions in mass transportation problems Lemenant, About the Regularity of Average Distance Minimizers in R2, Journal of Convex Analysis 18 (2011), no

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.428423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:8cba6267330de6257152a1aa0d9546f21c8c718508966f365d4c8231a5c108c1

Observation e8779f83-2cb0-4e2a-b3a7-296a4684cf34 · outbound

This paper cites an unresolved cited work.

On the structure of optimal free Dirichlet regions in mass transportation problems Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-07T05:53:20.438047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:2c829ec86fb207e810bca53705aba322917416416981e10833d3debd81e2bf8a

Observation c94e271b-8b4c-4144-b101-35b79fc9ca0e · outbound

This paper cites 2, 229-248.

On the structure of optimal free Dirichlet regions in mass transportation problems 2, 229-248

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.407150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:a26e31105e603b47ca288d4678f70c84cc7078782bf70ab0b1da71837f720d70

Observation 2c98a66c-8d39-4bd1-8a06-d31b4be65110 · outbound

This paper cites 1, 41-63.

On the structure of optimal free Dirichlet regions in mass transportation problems 1, 41-63

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.423266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:f762e0adfd7f39049ad7d4550fc5055e1e4f318b0213b347ba6df5d2b0d0e3b6

Observation a8525c46-3eff-43d3-94f1-a9e62aa1c39e · outbound

This paper cites an unresolved cited work.

On the structure of optimal free Dirichlet regions in mass transportation problems Unresolved cited work

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-07-01T06:05:29.471846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:18a291301057a1ae146490a17b8ec041978c05385bb3e551c9e72bde8240a58f

Observation 70449bfe-e5a9-40b9-9286-cdd044bf446b · outbound

This paper cites 8, 1-25, DOI 10.1051/cocv/2021002.

On the structure of optimal free Dirichlet regions in mass transportation problems 8, 1-25, DOI 10.1051/cocv/2021002

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-07-01T06:05:29.475127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:be2cdd8236af94684b8e3fd54aa0cbefd739e98711bea5f37c7c29dbc5e3286a

Observation 6666c1fb-494a-4d1c-af29-045696fe53a2 · outbound

This paper cites an unresolved cited work.

On the structure of optimal free Dirichlet regions in mass transportation problems Unresolved cited work

Reference 18

Resolution
verified exact
doi, observed 2026-07-01T06:05:29.477139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:7acf85cc388c60862156285be6b30f2fc4a9611dbc143d79d5d227e31ba6b8b2

Observation e7ead53c-a6a2-4ee9-abaa-59d0c26e4970 · outbound

This paper cites Structure of average distance minimizers in general dimensions.

On the structure of optimal free Dirichlet regions in mass transportation problems Structure of average distance minimizers in general dimensions

Reference 19

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T12:45:44.750082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:22adc4ebb4978f0e05c45d30aec28e20900fb06251fc5128c02b06e8fefcda3d

Observation c65469cf-9b44-413b-864a-110289259078 · outbound

This paper cites Santambrogio and P.

On the structure of optimal free Dirichlet regions in mass transportation problems Santambrogio and P

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.390397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:2783ef5fa5ce2754d812ae78af3dc5b408906949469e7c716c8f202935dbe843

Observation 25d84a14-9e8c-4613-b46e-fce36bcfc3e8 · outbound

This paper cites 5, 3114 - 3131.

On the structure of optimal free Dirichlet regions in mass transportation problems 5, 3114 - 3131

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.400011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:d2b9d06901305e5c3e3ed4c3f445888de37815160059587be1d56c1b15e38da2

Observation 29454f22-7607-4d5a-8b0a-a7181ab4c77c · outbound

This paper cites 1, 169-184.

On the structure of optimal free Dirichlet regions in mass transportation problems 1, 169-184

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.431329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation b7734441-9c57-4e17-a1b0-aec49239f100 · outbound

This paper cites 3, 3290 - 3309.

On the structure of optimal free Dirichlet regions in mass transportation problems 3, 3290 - 3309

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.394760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:d3338d6e091ffaad4951ec9a6e4f282b5f0939b91631de3981b2800832c55027

Observation fa3ba285-b969-4873-bcf7-6dde9ad227e0 · outbound

This paper cites 4, 522-552.

On the structure of optimal free Dirichlet regions in mass transportation problems 4, 522-552

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T05:53:20.403606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-01T01:46:20.533807Z digest=sha256:fa438f45623538b90bf34bfb5ad66aa3d0907ac11cceca1d6cb7e575d808025b

Pith citing papers

No inbound Pith citation observations are available.