Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:00:06.566941Z
Paper Citation Record · LEDGER
Algorithmic Construction of Real Hyperfields from Minimal Axioms
As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2508.19418.
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 2026-08-15T06:32:42.880941+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
29 of 29 outbound references displayed
- verified exact4
- verified fuzzy22
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 661f6a3c-08e8-4b15-a0df-b4e2de3afd31 · outbound
This paper cites Ameri, M, Eyv azi, S.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Ameri, M, Eyv azi, S
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.200589Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8788dce2-7102-409b-ae20-d8d844ffcf21 · outbound
This paper cites Anderson, J.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Anderson, J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.187358Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f756ac15-d89a-40ea-bc41-126e2d503937 · outbound
This paper cites Baker, T.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Baker, T
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.174478Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c6c8bb20-34b6-46ec-bd4b-583ab0b3ea84 · outbound
This paper cites Baker, N.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Baker, N
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.161666Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation dbda89f3-5377-4a70-aec1-482236044bc7 · outbound
This paper cites Bowler, T.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Bowler, T
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.149132Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation de15aa11-24be-49a1-8829-5aa27e0378be · outbound
This paper cites Connes, C.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Connes, C
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.135999Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7f4367b1-d88c-41d2-b58c-a98b39409d35 · outbound
This paper cites Eppolito, J.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Eppolito, J
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.122190Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2b06fc56-8cce-4de3-8a20-ab6f1625c58d · outbound
This paper cites On Characteristics of Hyperfields Obtained as Quotients of Finite Fields.
Algorithmic Construction of Real Hyperfields from Minimal Axioms On Characteristics of Hyperfields Obtained as Quotients of Finite Fields
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:00:06.891376Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e5424e9d-cec6-4252-8f40-2f4049520edc · outbound
This paper cites Gładki, M.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Gładki, M
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.109113Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 69c7c090-a10c-4228-8dc7-2b76e066c90f · outbound
This paper cites Gładki, M.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Gładki, M
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.095034Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 61efaa44-046c-4a2d-b8b5-78b2da94339b · outbound
This paper cites Jun, Algebraic geometry over hyperrings, Advances in Mathematics 323 (2018) 142-192.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Jun, Algebraic geometry over hyperrings, Advances in Mathematics 323 (2018) 142-192
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.082188Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5f100ae1-792f-488c-97aa-52ca48002ddf · outbound
This paper cites Jun, Geometry of hyperfields, Journal of Algebra 569 (2021) 220-257.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Jun, Geometry of hyperfields, Journal of Algebra 569 (2021) 220-257
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.068676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 27f8047b-af87-401b-be1f-7486786826ae · outbound
This paper cites an unresolved cited work.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:00:07.054699Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0923b1b8-20c0-4bfc-9cc0-3a9495c00ba6 · outbound
This paper cites an unresolved cited work.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Unresolved cited work
Reference 14
- Resolution
- verified exact
- raw_fallback, observed 2026-08-15T17:00:06.870600Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0e3ce51c-7f35-4147-a5fa-b905512ffdb9 · outbound
This paper cites Krasner, A class of hyperrings and hyperfields, International Journal of Mathematics and Mathematical Sciences 6 (1983) 307-311.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Krasner, A class of hyperrings and hyperfields, International Journal of Mathematics and Mathematical Sciences 6 (1983) 307-311
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.041572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 38dd918d-0c8d-424a-bb2a-935b9d407439 · outbound
This paper cites Krasner, Approximation des corps valués complets de caractéristiquep ̸= 0 par ceux de caractéristique 0, Colloque d’Algébre Supérieure, Bruxelles, 1956.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Krasner, Approximation des corps valués complets de caractéristiquep ̸= 0 par ceux de caractéristique 0, Colloque d’Algébre Supérieure, Bruxelles, 1956
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.028849Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b8e7f46c-1696-4749-9cbd-d6b8fa71caab · outbound
This paper cites Kuhlmann, A.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Kuhlmann, A
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.014137Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 59695864-99ac-4b7b-b531-670450d0d7e9 · outbound
This paper cites Lee, Hyperfields, truncated DVRs, and valued fields, Journal of Number Theory 212 (2020) 40-71.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Lee, Hyperfields, truncated DVRs, and valued fields, Journal of Number Theory 212 (2020) 40-71
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:07.001148Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f8fa88a7-3c4f-4572-9f36-4dd294342e27 · outbound
This paper cites Linzi, Valuations on Structures More General Than Fields, Computer Sciences and Mathematics Forum MDPI 7(1)(2023) 2.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Linzi, Valuations on Structures More General Than Fields, Computer Sciences and Mathematics Forum MDPI 7(1)(2023) 2
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:06.987917Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e3b3d2da-820f-4620-a1a5-e0de2a128def · outbound
This paper cites On the hyperfields associated to valued fields.
Algorithmic Construction of Real Hyperfields from Minimal Axioms On the hyperfields associated to valued fields
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:00:06.527172Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d8fada0-8041-4059-a77a-0603e5802076 · outbound
This paper cites Lorscheid , Tropical geometry over the tropical hyperfield, Rocky Mountain Journal of Mathematics 52(1) (2022) 189-222.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Lorscheid , Tropical geometry over the tropical hyperfield, Rocky Mountain Journal of Mathematics 52(1) (2022) 189-222
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:06.973476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8a389533-39e7-4cb7-b9f1-d015aa65fde6 · outbound
This paper cites Massouros, Methods of constructing hyperfields, International Journal of Mathematics and Mathemat- ical Sciences 8 (1985) 725-728.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Massouros, Methods of constructing hyperfields, International Journal of Mathematics and Mathemat- ical Sciences 8 (1985) 725-728
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:06.960230Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2cdcb996-9438-4366-ad5c-f53241d3f959 · outbound
This paper cites On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7.
Algorithmic Construction of Real Hyperfields from Minimal Axioms On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:00:06.761369Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 313e081d-cfcb-4f70-a00c-7c66266fe607 · outbound
This paper cites Massouros, C.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Massouros, C
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:06.945241Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2879ace5-5a46-4dfa-91d5-f5d2174a977f · outbound
This paper cites Massouros, On the attached hypergroups of the order of an automation, Journal of Discrete Mathe- matical Sciences and Cryptography, 6(2-3) (2003) 207-215.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Massouros, On the attached hypergroups of the order of an automation, Journal of Discrete Mathe- matical Sciences and Cryptography, 6(2-3) (2003) 207-215
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:06.931944Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bb5f125d-9cca-4456-9939-6e1eab38a069 · outbound
This paper cites Marshall, Real reduced multirings and multifields, Journal of Pure and Applied Algebra 205(2) (2006) 452-468 ALGORITHMIC CONSTRUCTION OF REAL HYPERFIELDS FROM MINIMAL AXIOMS 31.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Marshall, Real reduced multirings and multifields, Journal of Pure and Applied Algebra 205(2) (2006) 452-468 ALGORITHMIC CONSTRUCTION OF REAL HYPERFIELDS FROM MINIMAL AXIOMS 31
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:06.918492Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1993ad56-a4a0-47f2-b55d-b0f9b7b0e729 · outbound
This paper cites Maxwell, B.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Maxwell, B
Reference 27
- Resolution
- verified exact
- raw_fallback, observed 2026-08-15T17:00:06.739993Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2de34a5e-28f5-4c38-804d-23e977872ae4 · outbound
This paper cites Mittas, Sur les hyperanneaux et les hypercorps, Mathematica Balkanica 3 (1973) 368-382.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Mittas, Sur les hyperanneaux et les hypercorps, Mathematica Balkanica 3 (1973) 368-382
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:00:06.904920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 94619e9c-b0c4-4903-b627-32286f35bf9b · outbound
This paper cites Hyperfields for Tropical Geometry I. Hyperfields and dequantization.
Algorithmic Construction of Real Hyperfields from Minimal Axioms Hyperfields for Tropical Geometry I. Hyperfields and dequantization
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:00:06.566941Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.