Paper Citation Record · LEDGER

Polynomials over idempotent semifields

As of 17 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2607.10492.

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

pith.paper-citation-record.v1
2607.10492 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T11:18:47.598848Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:15:08.914979Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T14:15:08.956730Z

Reference resolution

34 of 34 outbound references displayed

verified exact0
verified fuzzy0
unresolved34
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External citation measurements

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Outbound references

Observation f00d4a86-43d9-4c79-9b6d-49b81adfd0b7 · outbound

This paper cites Min-plus methods in eigenvalue perturbation theory and generalised Lidskii-Vishik-Ljusternik theorem.

Polynomials over idempotent semifields Min-plus methods in eigenvalue perturbation theory and generalised Lidskii-Vishik-Ljusternik theorem

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation adeea87e-2e08-4d40-b64e-0e3e41766c17 · outbound

This paper cites Bapat, and Stéphane Gaubert.

Polynomials over idempotent semifields Bapat, and Stéphane Gaubert

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation d409b1fc-4d54-4307-9d56-ede9abd9a1a9 · outbound

This paper cites Factorization of poly- nomials over the symmetrized tropical semiring and Descartes’ rule of sign over or- dered valued fields.J.

Polynomials over idempotent semifields Factorization of poly- nomials over the symmetrized tropical semiring and Descartes’ rule of sign over or- dered valued fields.J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 269e570a-b72b-44fd-a8b7-c26f8194ce6b · outbound

This paper cites Baccelli, Guy Cohen, Geert Jan Olsder, and Jean-Pierre Quadrat.Syn- chronization and linearity.

Polynomials over idempotent semifields Baccelli, Guy Cohen, Geert Jan Olsder, and Jean-Pierre Quadrat.Syn- chronization and linearity

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 91459771-2e29-499a-a9a8-b3d00d884d4c · outbound

This paper cites Lecture Notes in Mathematics, V ol.

Polynomials over idempotent semifields Lecture Notes in Mathematics, V ol

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation db5da878-6886-42f9-b250-887e82f9c690 · outbound

This paper cites American Mathematical Society Colloquium Publi- cations, vol.

Polynomials over idempotent semifields American Mathematical Society Colloquium Publi- cations, vol

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 74f0ff81-c6ba-4667-b8db-6ee3b63e691c · outbound

This paper cites Blyth and Melvin F.

Polynomials over idempotent semifields Blyth and Melvin F

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation a1a1d607-57e1-4d38-98e6-735d55cd71be · outbound

This paper cites an unresolved cited work.

Polynomials over idempotent semifields Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation e87a0483-7382-4ecc-9421-ec5b1df334ac · outbound

This paper cites Strong regularity of matrices – a survey of results.Discrete Appl.

Polynomials over idempotent semifields Strong regularity of matrices – a survey of results.Discrete Appl

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation e08c1890-fc15-44c4-a982-1ea4c77380ae · outbound

This paper cites Springer Monographs in Mathematics.

Polynomials over idempotent semifields Springer Monographs in Mathematics

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 091bf081-818b-4d0e-a35c-bbffd38e01f7 · outbound

This paper cites Éléments d’algèbre linéaire tropicale.Linear Algebra Appl., 432(6):1460–1474, 2010.

Polynomials over idempotent semifields Éléments d’algèbre linéaire tropicale.Linear Algebra Appl., 432(6):1460–1474, 2010

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation fdcd47b7-1fa3-4990-8f9f-b32c75e24296 · outbound

This paper cites Algèbres de polynômes tropicaux.Ann.

Polynomials over idempotent semifields Algèbres de polynômes tropicaux.Ann

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 6ea6d5d5-460d-42bb-b8b0-0e0fa3ba7e62 · outbound

This paper cites The Witt construction in characteristic one and quantization.

Polynomials over idempotent semifields The Witt construction in characteristic one and quantization

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation bf06892b-4725-43a4-8c5f-dc6810f5041b · outbound

This paper cites Characteristic1, entropy and the absolute point.

Polynomials over idempotent semifields Characteristic1, entropy and the absolute point

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 03a2a24d-464b-4805-89c5-8691317f776a · outbound

This paper cites PhD thesis, University of Florida, USA, 1995.

Polynomials over idempotent semifields PhD thesis, University of Florida, USA, 1995

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 1c737b7f-348d-4138-97d6-922c12c9b83d · outbound

This paper cites an unresolved cited work.

Polynomials over idempotent semifields Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 971a9b53-3383-454c-9495-4820b25c18db · outbound

This paper cites Lawson, Michael W.

Polynomials over idempotent semifields Lawson, Michael W

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 536dd0e9-ee2e-43de-b1e2-780813996f36 · outbound

This paper cites Kluwer Academic Publishers, Dordrecht,.

Polynomials over idempotent semifields Kluwer Academic Publishers, Dordrecht,

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation ea763109-4e52-4065-8945-5d48779c53e1 · outbound

This paper cites an unresolved cited work.

Polynomials over idempotent semifields Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Unavailable: canonical work link unavailable.

Observation 57919b65-0d97-44b9-bf9f-114345655b91 · outbound

This paper cites Golan.Semirings and their applications.

Polynomials over idempotent semifields Golan.Semirings and their applications

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation d11c5606-015d-4da3-8f60-db054ce10677 · outbound

This paper cites Golan.Semirings and affine equations over them: theory and applica- tions, volume 556 ofMathematics and its Applications.

Polynomials over idempotent semifields Golan.Semirings and affine equations over them: theory and applica- tions, volume 556 ofMathematics and its Applications

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 917633bf-7b6d-4b56-ab32-30a6fd1a301e · outbound

This paper cites Springer, New York, 2008.

Polynomials over idempotent semifields Springer, New York, 2008

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 4e870907-ee3a-42b7-a1c2-af92447c6f59 · outbound

This paper cites Factorization of tropical polynomials in one and several variables.

Polynomials over idempotent semifields Factorization of tropical polynomials in one and several variables

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 283f6674-c2b5-4085-89d9-d047129161b2 · outbound

This paper cites World Scientific Publishing Co., Inc., River Edge, NJ, 1998.

Polynomials over idempotent semifields World Scientific Publishing Co., Inc., River Edge, NJ, 1998

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 2b0685e6-1237-4687-a2fe-437ef0ce5b04 · outbound

This paper cites Rafael Sendra.

Polynomials over idempotent semifields Rafael Sendra

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 86ca1697-047b-4b97-ba42-70e0f5c8c446 · outbound

This paper cites Litvinov, Victor P.

Polynomials over idempotent semifields Litvinov, Victor P

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 7d52dff3-7e3d-4e4c-841a-9b58dc4ffac2 · outbound

This paper cites Distinguished elements in semiring extensions.J.

Polynomials over idempotent semifields Distinguished elements in semiring extensions.J

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Unavailable: canonical work link unavailable.

Observation 0516eef8-350e-45df-bf08-361298662a07 · outbound

This paper cites Algebraic aspects in tropical mathematics.

Polynomials over idempotent semifields Algebraic aspects in tropical mathematics

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Unavailable: canonical work link unavailable.

Observation a86c1c27-bf90-4376-94ba-65175d153eba · outbound

This paper cites Algebraically closed abelianl-groups.Math.

Polynomials over idempotent semifields Algebraically closed abelianl-groups.Math

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 308e3410-3dc3-4521-8797-41ca4c4e83cf · outbound

This paper cites Quadratic equations in tropical regions.Theory Appl.

Polynomials over idempotent semifields Quadratic equations in tropical regions.Theory Appl

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 9722a21d-dddc-4377-8208-b5c1e9177ee8 · outbound

This paper cites an unresolved cited work.

Polynomials over idempotent semifields Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation db2deb03-671d-4fc4-b558-328b4c4cd34e · outbound

This paper cites Finite Extensions of $\mathbb{Z}_\mathrm{max}$.

Polynomials over idempotent semifields Finite Extensions of $\mathbb{Z}_\mathrm{max}$

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation 217c8f20-84a9-46df-8396-fdc60fa62ac1 · outbound

This paper cites Working with tropical meromorphic functions of one variable.Tai- wanese J.

Polynomials over idempotent semifields Working with tropical meromorphic functions of one variable.Tai- wanese J

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-14T11:18:47.598848Z

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Observation c47ac49c-7686-44bc-971c-8b248709b47a · outbound

This paper cites Regular semirings.Semigroup Forum, 23(2):119–136, 1981.

Polynomials over idempotent semifields Regular semirings.Semigroup Forum, 23(2):119–136, 1981

Reference 34

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Pith citing papers

Observation 9f759534-3ff1-4b84-8c05-e4211eea3390 · inbound

On the Structure of $(\min,+)$ Convolution cites this paper.

On the Structure of $(\min,+)$ Convolution Polynomials over idempotent semifields

Reference 1998

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:15:08.964497Z

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.