Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:32:44.315105Z
Paper Citation Record · LEDGER
A walk on max-plus algebra
As of 16 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.09051.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
27 of 27 outbound references displayed
- verified exact1
- verified fuzzy2
- unresolved24
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3f42dd4c-6a9e-47b3-a999-8ca7b942deae · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.689975Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b934494e-c94a-4770-b63e-0f1a44be934d · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.678979Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 03dbf579-0617-45c5-8489-e836c565acb8 · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.667889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 122fa824-9b90-4264-a3a4-e0f961fd598e · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.656675Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 821a040a-0c5e-4e17-8b0e-d938dc1984b4 · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.644091Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d4c1bbad-7eab-4bb2-91d8-bcb3e9099fc2 · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.633105Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b82a34f5-abc6-4275-a422-1993ca4f8eff · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.619479Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9ce0bc56-6499-4c7f-8b97-9f4f9099268a · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.607840Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 334839e4-755c-4f4a-9944-dfa1da20904e · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.596286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 96a24d82-f5f4-4750-b3a5-e30e8253503d · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.584837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2bac770e-1c94-48f0-9711-cf321803f3d3 · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.573842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 027e8560-0d21-40a6-8c24-8087090028f8 · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.561587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9bf0de1a-f021-4f98-af63-2e9b92d4e4ac · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.548284Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a34e06fa-a4da-4c6a-9b28-6658cfd88583 · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.534023Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 71f28d48-cffa-46fe-aa62-f8bf33c7a198 · outbound
This paper cites Stationary measure induced by the eigenvalue problem of the one-dimensional Hadamard walk.
A walk on max-plus algebra Stationary measure induced by the eigenvalue problem of the one-dimensional Hadamard walk
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:32:44.360063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 86b2f266-642c-4fc3-b9b0-93955ce7e7fe · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.521372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9a8414b3-4eb4-4b10-aa64-1c1ce624c859 · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.508276Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 00dab425-d537-4770-8af1-1ad77f8a2b1c · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.496264Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2422bf48-f228-4364-8f2f-16f689793695 · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.483463Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6de61627-1ead-468d-8520-8ddee59e2aa1 · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.469628Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2df09971-cf20-4abc-9056-5088434ffc0c · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.457299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 05fe05b7-f65a-4dee-ab58-f4a8e915fcfd · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.444856Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4d34a9cc-72a6-43ff-852e-865e7958e43d · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.428924Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 66ad8bfa-9721-4f40-a603-dd279f6b1440 · outbound
This paper cites II, The concept of duality in interacting particle systems Ann.
A walk on max-plus algebra II, The concept of duality in interacting particle systems Ann
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:32:44.416024Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 886ae649-ef05-4f2a-950a-2048268c3703 · outbound
This paper cites IV, Quasi-duality and thinnings of interacting particle systems Ann.
A walk on max-plus algebra IV, Quasi-duality and thinnings of interacting particle systems Ann
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:32:44.403961Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7a3a34c8-8e3c-4750-892a-8d1253b37270 · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.387430Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a7d8cf68-5e7a-475e-a36c-765952d346e0 · outbound
This paper cites an unresolved cited work.
A walk on max-plus algebra Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:32:44.375133Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.