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Paper Citation Record · LEDGER

Towards Optimal Transport for Quantum Densities

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2101.03256.

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

pith.paper-citation-record.v1
2101.03256 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:54:50.753395Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

2
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 708657f3-a936-46dc-961f-7a54b76b8d48 · inbound

Wasserstein distances and divergences of order $p$ by quantum channels cites this paper.

Wasserstein distances and divergences of order $p$ by quantum channels Towards Optimal Transport for Quantum Densities

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-23T05:27:36.080704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T05:25:45.827220Z digest=sha256:07d49005200a08cfbe10b714375338b367d80c8140a0262f8198456cd9e61ba0

Observation 8cf1c7a1-d178-4a63-b4f8-2913f71b0f36 · inbound

Transportation cost and contraction coefficient for channels on von Neumann algebras cites this paper.

Transportation cost and contraction coefficient for channels on von Neumann algebras Towards Optimal Transport for Quantum Densities

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T10:54:50.753395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:54:50.753395Z digest=sha256:ddd946387324f63dd89db2af50617290327df378070a845607dbad84987fd62f

Observation 6f55830e-43d4-4281-b693-f0c5c30c6722 · inbound

Wasserstein Distances on Quantum Structures: an Overview cites this paper.

Wasserstein Distances on Quantum Structures: an Overview Towards Optimal Transport for Quantum Densities

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-05-19T09:32:16.419069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T09:29:43.711186Z digest=sha256:104cb14c5f406f26066774cf3fa0a55b28314b9fcdda9f32a8ba61b5bc59128f

Observation 2a62fe42-b488-4fa8-8dcf-b87653e286da · inbound

Quantum Wasserstein distance and its relation to several types of fidelities cites this paper.

Quantum Wasserstein distance and its relation to several types of fidelities Towards Optimal Transport for Quantum Densities

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-19T09:12:14.803600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-19T09:09:46.620870Z digest=sha256:2a74ed94bc72160e74c288afa954687592f71a81cf784a157b5fb62ea9a500b0

Observation c1128186-de68-4cf0-9760-508e8494b315 · inbound

General method for obtaining the energy minimum of spin Hamiltonians for separable states cites this paper.

General method for obtaining the energy minimum of spin Hamiltonians for separable states Towards Optimal Transport for Quantum Densities

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-05-09T05:50:28.095357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-08T19:28:34.585270Z digest=sha256:a2d7895eeb45170f5472da2c0c09e28c2c8973c0b94fc258d81a50d7b40ae0d8

Observation 0f694f08-49ba-407a-8274-d123b2ca2fcb · inbound

Relations between different definitions of the quantum Wasserstein distance for qubits cites this paper.

Relations between different definitions of the quantum Wasserstein distance for qubits Towards Optimal Transport for Quantum Densities

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-09T05:55:32.304816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-08T19:16:38.202679Z digest=sha256:ab61a5b385bbb23a87ea1671f7ae494d61b7dc19e0062e91aa9156dc86d0b1bd

Observation 5e6d1072-4307-4d11-9650-4a073e947f20 · inbound

An algorithm for dynamical quantum optimal transport with applications to quantum chemistry cites this paper.

An algorithm for dynamical quantum optimal transport with applications to quantum chemistry Towards Optimal Transport for Quantum Densities

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-06-27T19:01:08.779856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-06-27T15:23:52.776770Z digest=sha256:10259bf02fdc3d5f5211fdaf9fd8f5c30165b757a1028dc53b35138184d2299d