Paper Citation Record · LEDGER

Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2412.16775.

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

pith.paper-citation-record.v1
2412.16775 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T11:04:43.011394Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T15:47:06.286556Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 0568070b-255b-4833-a77b-c5245cdc454b · inbound

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions cites this paper.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T11:04:43.011394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1a4075f-afca-4095-987a-4aa6d53f8ed0 · inbound

Liouville-Preserving Hamiltonian Scattering on Finite Metric Graphs cites this paper.

Liouville-Preserving Hamiltonian Scattering on Finite Metric Graphs Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-07T02:18:23.387196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a1a878a4-8203-4868-9241-8364c9b83601 · inbound

Liouville-Preserving Hamiltonian Scattering on Finite Metric Graphs cites this paper.

Liouville-Preserving Hamiltonian Scattering on Finite Metric Graphs Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-07T02:18:23.387196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 12c80917-14e4-4e69-83e8-213ed6bbf223 · inbound

From diffusion to transmission via EDP-convergence: a paradigmatic multiscale limit cites this paper.

From diffusion to transmission via EDP-convergence: a paradigmatic multiscale limit Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T05:19:40.881656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.