Paper Citation Record · LEDGER

Roots of polynomials over semirings and hyperfields

As of 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2606.13330.

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

pith.paper-citation-record.v1
2606.13330 v4

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:44:48.393235Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

15 of 15 outbound references displayed

verified exact0
verified fuzzy0
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 608b7a6e-bb4b-4145-ac56-02e7e27c6008 · outbound

This paper cites Akian, S.

Roots of polynomials over semirings and hyperfields Akian, S

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:47.152563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44671084-784b-4bbc-94d5-6f678d46ed0e · outbound

This paper cites Akian, S.

Roots of polynomials over semirings and hyperfields Akian, S

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:47.265680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2a35348-1564-478c-a531-ad4e1d265746 · outbound

This paper cites Baker and O.

Roots of polynomials over semirings and hyperfields Baker and O

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:47.381524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00a69e9c-6e46-4565-a58c-1e5541a1f463 · outbound

This paper cites Gaubert,Th´ eorie des syst` emes lin´ eaires dans les d ¨ ıodes.Th` ese,´Ecole des Mines de Paris, (1992).

Roots of polynomials over semirings and hyperfields Gaubert,Th´ eorie des syst` emes lin´ eaires dans les d ¨ ıodes.Th` ese,´Ecole des Mines de Paris, (1992)

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:47.490305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8115c395-1399-4e8c-9ac7-2b8610cc9904 · outbound

This paper cites Golan.The theory of semirings with applications in mathematics and theoretical computer science, Longman Sci & Tech., volume 54, (1992).

Roots of polynomials over semirings and hyperfields Golan.The theory of semirings with applications in mathematics and theoretical computer science, Longman Sci & Tech., volume 54, (1992)

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:47.594654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c9941d9-7b71-4af0-813e-e95f63b22f56 · outbound

This paper cites Gunn,Tropical extensions and Baker-Lorscheid multiplicities for idylls, Commun.

Roots of polynomials over semirings and hyperfields Gunn,Tropical extensions and Baker-Lorscheid multiplicities for idylls, Commun

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:47.675600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f8caaa2-5f4c-49ce-89a7-620830103137 · outbound

This paper cites Izhakian and L.

Roots of polynomials over semirings and hyperfields Izhakian and L

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:47.744690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf6a5c62-85c6-46ce-8684-733dec125599 · outbound

This paper cites Jun and L.

Roots of polynomials over semirings and hyperfields Jun and L

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:47.821221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2fb497f-8464-4b53-bd5d-88bfd171b987 · outbound

This paper cites Krasner,A class of hyperrings and hyperfields, Internat.

Roots of polynomials over semirings and hyperfields Krasner,A class of hyperrings and hyperfields, Internat

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:47.889096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8b9b274-a4f7-4c6c-9c93-6d65342d3774 · outbound

This paper cites Lorscheid,The geometry of blueprints Part I, Advances in Mathematics 229, no.

Roots of polynomials over semirings and hyperfields Lorscheid,The geometry of blueprints Part I, Advances in Mathematics 229, no

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:47.956554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e264ce89-04fa-491b-a82c-dbf011fb0c37 · outbound

This paper cites European Mathematical Society Publishing House, (2016).

Roots of polynomials over semirings and hyperfields European Mathematical Society Publishing House, (2016)

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:48.033630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e23c59c-b0cd-463c-9e86-63948b1c154b · outbound

This paper cites Mittas,Sur les hyperanneaux et les hypercorps, Math.

Roots of polynomials over semirings and hyperfields Mittas,Sur les hyperanneaux et les hypercorps, Math

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:48.113360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cdabc6d-0efc-4572-a7be-ce170d2b6882 · outbound

This paper cites Algebras with a negation map.

Roots of polynomials over semirings and hyperfields Algebras with a negation map

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:48.187792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc80a2a0-8576-43d8-8bb8-fa676c26a6e7 · outbound

This paper cites Semirings.

Roots of polynomials over semirings and hyperfields Semirings

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:48.286361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72b9c363-7ff9-4609-ac1d-93fe51103335 · outbound

This paper cites Hyperfields for Tropical Geometry I. Hyperfields and dequantization.

Roots of polynomials over semirings and hyperfields Hyperfields for Tropical Geometry I. Hyperfields and dequantization

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:48.393235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.