Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
3D-grids are not transducible from planar graphs
As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2501.07558.
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 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T00:03:59.842191Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T15:22:48.918222Z
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 58a83a71-752c-4ccc-90c6-d568d9ce3b00 · inbound
Transductions of Graph Classes Admitting Product Structure cites this paper.
Transductions of Graph Classes Admitting Product Structure 3D-grids are not transducible from planar graphs
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T00:03:59.842191Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 20daa068-dcad-4197-acc2-60ade515c299 · inbound
Short Paths in the Planar Graph Product Structure Theorem cites this paper.
Short Paths in the Planar Graph Product Structure Theorem 3D-grids are not transducible from planar graphs
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T14:12:32.859835Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5af29f3-d32c-4d55-917d-1604550bcd74 · inbound
First-order transducibility among classes of sparse graphs cites this paper.
First-order transducibility among classes of sparse graphs 3D-grids are not transducible from planar graphs
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T15:22:49.010156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.