Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-22T15:53:03.452877Z
Paper Citation Record · LEDGER
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument
As of 20 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2505.09232.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
17 of 17 outbound references displayed
- verified exact1
- verified fuzzy16
- unresolved0
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- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 02c0e581-0f61-4731-8f5a-086fe41f1e8e · outbound
This paper cites Lectures on optimal transport.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Lectures on optimal transport
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.342612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c20c06c5-ab74-45fc-86f1-bc17650bc0d6 · outbound
This paper cites Functions of bounded variation and free discontinuity prob lems.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Functions of bounded variation and free discontinuity prob lems
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.339669Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2ab38611-1b04-4832-80e6-83a365fe3c89 · outbound
This paper cites On the history of the euclidean steiner tree problem.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument On the history of the euclidean steiner tree problem
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.326081Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5434458e-c4e6-4a81-8685-298c961d92d2 · outbound
This paper cites Optimal transpo rtation networks as free dirichlet regions for the monge- kantorovich problem.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Optimal transpo rtation networks as free dirichlet regions for the monge- kantorovich problem
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.329532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b78337e0-8a5d-4ef6-b1fe-29e8eb628a97 · outbound
This paper cites One dimensional approximation of measures in W asser- stein distance.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument One dimensional approximation of measures in W asser- stein distance
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.332871Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a8f7e940-b369-433c-ba4e-832d8ea45d46 · outbound
This paper cites Lecture notes on rectifiable sets, den sities, and tangent measures.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Lecture notes on rectifiable sets, den sities, and tangent measures
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.336211Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 508e0223-3302-4aad-9b88-f5059718d0af · outbound
This paper cites A presentation of the average distanc e minimizing problem.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument A presentation of the average distanc e minimizing problem
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.356270Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f58ead11-1672-47af-8854-91632939e40e · outbound
This paper cites Phase-field approximation for one- dimensional shape optimization problems.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Phase-field approximation for one- dimensional shape optimization problems
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.349660Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 16bccb52-4de0-4552-a4ee-00bb332ec004 · outbound
This paper cites Sets of finite perimeter and geometric variational problems : an introduction to Geometric Measure Theory.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Sets of finite perimeter and geometric variational problems : an introduction to Geometric Measure Theory
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.312330Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 607ab19a-56aa-46fc-8835-6160930753e4 · outbound
This paper cites Γ-convergence for the irrigation problem.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Γ-convergence for the irrigation problem
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.316623Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a8ea79c6-631b-421c-86f2-1e38f5500457 · outbound
This paper cites Structure of average distance minimizers in general dimensions.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Structure of average distance minimizers in general dimensions
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-05-22T15:54:58.441393Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8582d49c-e9a3-47f0-84d2-94bdf3bef83a · outbound
This paper cites Qualitative pro perties of maximum distance minimizers and average distanc e minimizers in rn.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Qualitative pro perties of maximum distance minimizers and average distanc e minimizers in rn
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.322218Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 68a44559-7b05-4ce2-baef-80e3072bf623 · outbound
This paper cites Existence and re gularity results for the steiner problem.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Existence and re gularity results for the steiner problem
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.313836Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3e536446-f9d0-4c2c-925c-8000fe7eeb18 · outbound
This paper cites Variational analysis, volume 317.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Variational analysis, volume 317
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.352881Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3f6187d2-49b6-40b9-92eb-56fadc89c6af · outbound
This paper cites Santambrogio.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Santambrogio
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.359844Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e875de43-3f7e-4499-9cd2-d85b32e3e769 · outbound
This paper cites Blow-up of optim al sets in the irrigation problem.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Blow-up of optim al sets in the irrigation problem
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.296419Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 181c5c16-af0f-4638-9033-a1f462ac0f39 · outbound
This paper cites Optimal transport: old and new , volume 338.
Absence of loops for the Wasserstein-$\mathcal{H}^1$ problem: the concentration/blow-up argument Optimal transport: old and new , volume 338
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-22T15:54:59.303751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.