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Paper Citation Record · LEDGER

Tropical Expressivity of Neural Networks

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2405.20174.

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

pith.paper-citation-record.v1
2405.20174 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T06:14:16.952571Z

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

0
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 d9bcc63b-f959-4573-a8eb-64a2e2adf011 · inbound

Copositive Matrices with Ordered Off-Diagonal Entries cites this paper.

Copositive Matrices with Ordered Off-Diagonal Entries Tropical Expressivity of Neural Networks

Reference 274

Resolution
verified exact
arxiv_id, observed 2026-05-20T17:23:35.963734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-05-20T17:20:29.589792Z digest=sha256:5c30bd07b5800356be29c7fc578522e0021d5a335bee591790061efabd49e380

Observation 5bc28fd0-fbfb-4664-a80b-53dd1379f9c2 · inbound

Detropicalization as a proof technique cites this paper.

Detropicalization as a proof technique Tropical Expressivity of Neural Networks

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-06-29T14:53:31.514740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-29T06:14:16.952571Z digest=sha256:ea1f7464f259d0c3bbe0575e8578ae916c82a1128ee686637f16a7eb5148e1a8