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Paper Citation Record · LEDGER

Towards Optimal Transport for Quantum Densities

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-23T05:25:45.827220Z digest=sha256:a6693953c1dad7552a90d4a2b7f74a149f2c643add5749010b0a513f193ca17a

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=sha256:1efafc00b04c6cece367512b3567da25d6839b52819e3103b0753f9668a7907f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T09:29:43.711186Z digest=sha256:fbdc2ab0d9444b63fd280e50c7362bdff0954d797142d036120c4ec71ad7bd57

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T09:09:46.620870Z digest=sha256:d6d14ec45efb1c66af8f02d4feadafa02c57a90062ef9ac2e00a1d0a31a57237

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-08T19:28:34.585270Z digest=sha256:408f3c3580c508dc93a4c428f4f687a1d7f091f9558050dc451a92c5d5e86079

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-08T19:16:38.202679Z digest=sha256:94346a9f25ff898af9da5379f5f62d830397d1c73738a4537afa7463dc2f9780

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-06-27T15:23:52.776770Z digest=sha256:3b10fea9a204bdcfca5792e04083a469410243645c7d6388773ee98680433b33