Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T21:49:43.304518Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 4 inbound Pith citation observations for arXiv:2602.19209.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T21:49:43.304518Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T11:44:48.286361Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-03T16:48:40.358937Z
59 of 59 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d2570bc9-4063-4b9d-a343-d1d8d21d8457 · outbound
Semirings Akian, S
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac612bac-dff5-41a7-b614-65eb866aa705 · outbound
Semirings Akian, S
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c1fc8875-0185-4f14-b2ef-c6e591cb778e · outbound
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f1b55bdb-177a-43ed-b48c-4d39d4ba5994 · outbound
Semirings Akian, S
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a6e3b61-5acc-4a5e-9dc1-63aae0c1581a · outbound
Semirings Akian, S
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b8ef876-6550-4e87-a1fa-9845880f9cfb · outbound
Semirings Baker and O
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df4dac2a-58e6-4199-a29e-ed06d85f74b4 · outbound
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e0e2af8f-46ee-4ab3-a6de-34d2c974669a · outbound
Semirings Bowler and T
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation bf80f9d6-20a8-4989-9e81-855154cfc7d3 · outbound
Semirings Connes and C
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89d5ed4a-6804-4c78-b4c0-1634254a599d · outbound
Semirings Corti˜ nas, C
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9d5033c4-845b-431e-9af2-f6b1d7d20a6a · outbound
Semirings Dolzan, P
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 106423cc-b6a3-4b5c-8d62-12daf4e51e0d · outbound
Semirings Dress,Duality theory for finite and infinite matroids with coefficients, Advances in Math- ematics 93(2) (1986), 214–250
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7ef172a7-a6ca-41ad-a0c6-de5bee472529 · outbound
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0eb6e0d-d82d-4802-95b1-dbee16a918c2 · outbound
Semirings Gaubert,Th´ eorie des syst` emes lin´ eaires dans les diodes.Th` ese,´Ecole des Mines de Paris, (1992)
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e4b7760-f675-447b-982e-d35364745e78 · outbound
Semirings Gathmann,Tropical algebraic geometry, Jahresber
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d6906521-c900-4acc-b187-8be3e5a0eaea · outbound
Semirings Golan.The theory of semirings with applications in mathematics and theoretical computer science, Longman Sci & Tech., volume 54, (1992)
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c6c8077-3765-4ba1-a271-b7e1c037fb3d · outbound
Semirings Gunn,Tropical extensions and Baker-Lorscheid multiplicities for idylls, Commun
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a98e6f1-e40b-4a28-a2b9-df98e53ee9cd · outbound
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f4476b1-adc2-4b6a-94b4-478f001dbe63 · outbound
Semirings Hobby and J Jun,Nontrivial solutions for homogeneous linear equations over some non- quotient hyperfields, Proc
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c2f8889-94da-4a60-a5a6-2e626734cb0b · outbound
Semirings Hutchins and H
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2288ea5-8c6e-470d-938d-694abf8d16c7 · outbound
Semirings Itenberg, G
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation baf3ed34-4775-4b17-8fc4-0d6a01622fbc · outbound
Semirings Izhakian,Tropical arithmetic & algebra of tropical matrices, Preprint at arXiv:math.AG/0505458, 2005
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7be65f7c-2821-48e3-b41a-638be0d55ba3 · outbound
Semirings Izhakian, M
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe4d9300-bc8b-4d62-903a-5ec4fdd19e3d · outbound
Semirings Pure Appl
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c0cb8b0-3cc4-40a4-8323-5b70dac9cd5d · outbound
Semirings Izhakian and L
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4fc95035-0f81-4252-b428-a557b37ef6da · outbound
Semirings Unresolved cited work
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f454359-5cc9-4f7f-92b5-fd861d91bba4 · outbound
Semirings Unresolved cited work
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4deb01e3-bba4-41c2-9b15-6389739de597 · outbound
Semirings Jacobson Basic algebra 1 (2ed., Freeman, 1985)(ISBN 0716714809)
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f52f02fc-96f3-43d1-9448-16a5072ad741 · outbound
Semirings Jagiello,Tensor products in concrete categories, Demonstratio Math
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dbcc2314-d446-4632-b89f-b89722d62a6f · outbound
Semirings Jo´ o, and K
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 270fea27-687d-4a4b-8f70-196ccad0f356 · outbound
Semirings Unresolved cited work
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 647bdbd9-45f7-4473-b856-c69b16a4756b · outbound
Semirings Unresolved cited work
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7492aca6-be5a-4417-a015-0f4055c59934 · outbound
Semirings Martin Gavalec, Kybernetika 58 (2022), 733–759
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85a55bba-0f2b-46ee-8f36-767230383ad5 · outbound
Semirings Katsov,Tensor products of functors, Siberian J
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a254ea92-1074-4da1-b6aa-ee18dfc1134f · outbound
Semirings Katsov and T.G
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f24cd556-28ad-4535-8f7c-30857cb091ff · outbound
Semirings Krasner,A class of hyperrings and hyperfields, Internat
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f945629-c60a-40a2-bbac-20ce57a0c430 · outbound
Semirings (eds) Coping with Complexity: Model Reduction and Data Analysis
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4b9e43f-dc85-4b9a-9998-a5cf8696d20f · outbound
Semirings Lorscheid,The geometry of blueprints Part I, Advances in Mathematics 229, no
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 794f4147-d2dd-49f1-bda6-008ef2d6f59e · outbound
Semirings European Mathematical Society Publishing House, (2016)
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1d74fa30-c703-458c-9c19-b7ab1773c657 · outbound
Semirings Maclagan and B
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6cf8457-6a95-4f27-98bf-d2c5b700933b · outbound
Semirings Marty,Rˆ ole de la notion de hypergroupe dans l’´ etude de groupes non abeliens, Comptes Rendus Acad
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 311caf6f-28fb-4bb9-84f8-6a5e4474cb5c · outbound
Semirings Unresolved cited work
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3db8b067-cdb3-4921-a676-eaf91518cbca · outbound
Semirings Massouros and G
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 72553149-adf2-40e7-90b8-fc883c990310 · outbound
Semirings Mittas,Sur les hyperanneaux et les hypercorps, Math
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8456bf79-fe21-4233-93d1-e33861cf8214 · outbound
Semirings Categories of hypermagmas, hypergroups, and related hyperstructures
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7728b764-abf9-4974-8527-91e0b69dea9b · outbound
Semirings Pop,On tensor products in concrete categories, Demonstrate Mathematica 33 (4), 707–718, (2000)
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 24873d1b-5d41-438e-9d0b-c4fb55c17995 · outbound
Semirings Reutenauer and H
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 47e9d303-2f8b-4662-9f29-9106c2abf4e6 · outbound
Semirings Rowen,Ring Theory, Vol
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 767d3732-b0d7-4d44-b497-ec8c1301ba70 · outbound
Semirings Unresolved cited work
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c2dea568-e1c9-4723-94df-b534f52f315a · outbound
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 685c6619-b792-4a51-a5a5-41499f4d407e · outbound
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 24091dc9-0af5-4d9c-9d86-e98990503334 · outbound
Semirings Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation bd21e7e2-2e1f-48d4-ba7d-60ec4e1be848 · outbound
Semirings Unresolved cited work
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae0550c4-2989-4005-afd7-4fd3d23b74dc · outbound
Semirings Takahashi, On the bordism categories III, Math
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 29a9286b-4e05-449b-a47a-dd4d47733a1b · outbound
Semirings Unresolved cited work
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 58c9f421-bd8b-41d8-9faf-eb4935d41a92 · outbound
Semirings Vechtomov and A
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 25e7a573-79ea-42c2-b20e-29c2f4666eef · outbound
Semirings Vechtomov and D
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26db85a2-6bff-4fdb-adcf-4b010f276c7e · outbound
Semirings Hyperfields for Tropical Geometry I. Hyperfields and dequantization
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ff55e67-4f05-47a1-9442-f27c743a4aa9 · outbound
Semirings Zeilberger,A combinatorial approach to matrix algebra, Discrete Math.56(1), (1985), 61–72
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f7ab9f1b-d091-4be3-a94b-a185f4091f2e · inbound
Roots of polynomials over semirings and hyperfields Semirings
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2f163f9f-5daa-49a2-8887-5fb13d74432b · inbound
Roots of polynomials over semirings and hyperfields Semirings
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1038fa9b-b7b7-4e5b-8eb5-cdf7687ee5ba · inbound
Roots of polynomials over semirings and hyperfields Semirings
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation cc80a2a0-8576-43d8-8bb8-fa676c26a6e7 · inbound
Roots of polynomials over semirings and hyperfields Semirings
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.