Paper Citation Record · LEDGER

Tropical Geometry of Deep Neural Networks

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1805.07091.

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

pith.paper-citation-record.v1
1805.07091 v1

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 2026-08-20T06:33:59.587034+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T09:12:25.069574Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T08:36:59.683447Z

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 819c2996-3631-4958-8c64-f656fc483297 · inbound

Lattice theory and algebraic models for deep convolutional learning based on mathematical morphology cites this paper.

Lattice theory and algebraic models for deep convolutional learning based on mathematical morphology Tropical Geometry of Deep Neural Networks

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-06-30T13:44:40.613451Z

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 4927c31b-af94-49c9-8adf-abe1d17a218c · inbound

Detropicalization as a proof technique cites this paper.

Detropicalization as a proof technique Tropical Geometry of Deep Neural Networks

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-06-29T14:53:31.512323Z

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 5ca41f35-69e3-45d5-a393-c5137982dc20 · inbound

Tubular Neighbourhoods of Pfaffian Sets and Applications to Neural Networks cites this paper.

Tubular Neighbourhoods of Pfaffian Sets and Applications to Neural Networks Tropical Geometry of Deep Neural Networks

Reference 104

Resolution: metadata mismatch; local_arxiv, observed 2026-07-10T08:36:59.684954Z

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 53f9dfa4-e197-4a9e-a644-71d6c8e08878 · inbound

TwistedMerge: Certified Higher-Order Diagnostics and Abstention for Model Merging cites this paper.

TwistedMerge: Certified Higher-Order Diagnostics and Abstention for Model Merging Tropical Geometry of Deep Neural Networks

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T09:12:25.069574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.