Paper Citation Record · LEDGER

Detropicalization as a proof technique

As of 23 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2605.30511.

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

pith.paper-citation-record.v1
2605.30511 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

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

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

verified exact7
verified fuzzy0
unresolved26
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 143e3a71-c025-47b2-92b8-84cf41f3e6bb · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6f764e0-5893-4333-8ede-a32dc0583db8 · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bbb86e3-e473-4307-b335-6325eea25e12 · outbound

This paper cites The Real Tropical Geometry of Neural Networks.

Detropicalization as a proof technique The Real Tropical Geometry of Neural Networks

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-06-29T14:53:31.507282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4258876c-a46b-4f68-831a-c141400ed1db · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5aa676eb-3102-49d4-8688-87f6a150fb44 · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 5

Resolution: verified exact; doi, observed 2026-06-29T06:23:08.475842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bfd33eca-0f83-4070-9305-e42bdb469854 · outbound

This paper cites Representa- tions and combinatorics, Hackensack, NJ: World Scientific, 2017, ISBN 978-981-4733-43-4; 978-981-4733-44-1.

Detropicalization as a proof technique Representa- tions and combinatorics, Hackensack, NJ: World Scientific, 2017, ISBN 978-981-4733-43-4; 978-981-4733-44-1

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8deb871-24a6-4c85-acf3-37e33e71731d · outbound

This paper cites Comb.4(2021), no.

Detropicalization as a proof technique Comb.4(2021), no

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eee906fc-d82d-4058-93b5-1a584166cf6a · outbound

This paper cites Fordy and Bethany R.

Detropicalization as a proof technique Fordy and Bethany R

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd7c593d-4cb4-4c41-ab25-ce8d77ab5b24 · outbound

This paper cites Z.259(2008), no.

Detropicalization as a proof technique Z.259(2008), no

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-06-29T14:53:31.503565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 422494da-baa1-49d7-b421-a5110148d666 · outbound

This paper cites Theory1(2021), 44,ISSN 2766-1334, Id/No 16.

Detropicalization as a proof technique Theory1(2021), 44,ISSN 2766-1334, Id/No 16

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43c3a0f2-882b-47a9-8906-5332d5dbb508 · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 874fe695-0af0-4d35-be10-e8a039b93660 · outbound

This paper cites II: Rectangles and triangles, Electron.

Detropicalization as a proof technique II: Rectangles and triangles, Electron

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e81c11a-6394-4282-b18a-b74797127beb · outbound

This paper cites I: Generalities and skeletal posets, Electron.

Detropicalization as a proof technique I: Generalities and skeletal posets, Electron

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5835610-9ec4-4e88-ac19-9ce14520a753 · outbound

This paper cites Theory3(2023), no.

Detropicalization as a proof technique Theory3(2023), no

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73e8e93e-d080-47d7-bf0f-e8bcd7765d76 · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ec4d0bb-7510-4e99-880b-469b096c6670 · outbound

This paper cites Modeling and analysis of synchronized systems: a course on max-plus algebra and its applications, Princeton Ser.

Detropicalization as a proof technique Modeling and analysis of synchronized systems: a course on max-plus algebra and its applications, Princeton Ser

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c869b03-0f7a-48a2-aa02-4618383864ef · outbound

This paper cites Comb.5(2022), no.

Detropicalization as a proof technique Comb.5(2022), no

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4003caf-3749-4578-a646-a860f4b2e1ae · outbound

This paper cites Comb.7(2024), no.

Detropicalization as a proof technique Comb.7(2024), no

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab65759a-6d53-4009-9008-6af613a76b61 · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58d0f8e9-672e-41c8-bf1e-483665a804c1 · outbound

This paper cites Kirillov,Introduction to tropical combinatorics, Physics and combinatorics.

Detropicalization as a proof technique Kirillov,Introduction to tropical combinatorics, Physics and combinatorics

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8425efd4-6da9-4cab-843a-3b422e1dd59e · outbound

This paper cites Klarner (ed.),Mathematical recreations.

Detropicalization as a proof technique Klarner (ed.),Mathematical recreations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb4023b2-19f9-444d-b8db-ddcf4b0ac044 · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Tropical Expressivity of Neural Networks.

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 2026-08-22T06:32:14.747728+00:00.

Observation 59a9d0bc-4d85-4090-9a95-f202fdf98c1b · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-06-29T14:53:31.509816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8ea20ab6-aae0-4ef5-97bb-29d179b7361c · outbound

This paper cites Comb.2(2019), no.

Detropicalization as a proof technique Comb.2(2019), no

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8758e319-c674-467b-add8-efb7424e0f7d · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-06-29T14:53:31.500866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation daa3ccd5-00f6-4a16-9316-f808bea297b8 · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 079949ec-9aaf-4fe5-a810-b13472aca074 · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e51ca26b-27f4-4558-bad0-3e972a5d760e · outbound

This paper cites Based on a workshop, Bristol, UK, October 3–7, 1994, Cambridge: Cambridge University Press, 1998, pp.

Detropicalization as a proof technique Based on a workshop, Bristol, UK, October 3–7, 1994, Cambridge: Cambridge University Press, 1998, pp

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cdeda03-2403-4600-a533-43ffad330e01 · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0696a70f-6281-4da1-af71-0daf6c382e5a · outbound

This paper cites 619– 652, ISBN 978-3-319-24296-5; 978-3-319-24298-9.

Detropicalization as a proof technique 619– 652, ISBN 978-3-319-24296-5; 978-3-319-24298-9

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 943c8ff1-8089-41da-a174-5786ae7b5cb3 · outbound

This paper cites an unresolved cited work.

Detropicalization as a proof technique Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-29T06:14:16.952571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4927c31b-af94-49c9-8adf-abe1d17a218c · outbound

This paper cites Tropical Geometry of Deep Neural Networks.

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 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.