Paper Citation Record · LEDGER

Blocks in Finite Hyperfields

As of 18 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2507.18908.

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

pith.paper-citation-record.v1
2507.18908 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:22:19.116729Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T21:49:38.880917Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

verified exact1
verified fuzzy16
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 29f813c1-ecfc-4fbe-87de-e0d826bc2e19 · outbound

This paper cites Advanced results in enumeration of hyperfields.

Blocks in Finite Hyperfields Advanced results in enumeration of hyperfields

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.665325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ee35f1da-efd7-45fa-8efe-35460fbd2870 · outbound

This paper cites Matroids over partial hyperstructures.

Blocks in Finite Hyperfields Matroids over partial hyperstructures

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T18:22:19.007884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a00834d5-0121-4f2b-9fed-6c5175599d24 · outbound

This paper cites On the structure of hyperfields obtained as quotients of fields.

Blocks in Finite Hyperfields On the structure of hyperfields obtained as quotients of fields

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.620151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 84e27964-8829-4802-ac02-277d63a59597 · outbound

This paper cites Descartes' rule of signs, N ewton polygons, and polynomials over hyperfields.

Blocks in Finite Hyperfields Descartes' rule of signs, N ewton polygons, and polynomials over hyperfields

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.604800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d458377b-4455-453f-8343-3ddc0db6f7f1 · outbound

This paper cites Bergelson and D.

Blocks in Finite Hyperfields Bergelson and D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.586155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 20aab3b7-9c8a-4696-a1d8-d62f6e393a3d · outbound

This paper cites On some notions of rank for matrices over tracts.

Blocks in Finite Hyperfields On some notions of rank for matrices over tracts

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:22:19.313971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f6d9da62-492c-4eeb-9298-4c96d3e43239 · outbound

This paper cites The hyperring of adele classes.

Blocks in Finite Hyperfields The hyperring of adele classes

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.566120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cc30eb5d-62f7-4e61-ae0d-cd1f9d433806 · outbound

This paper cites The complexity of dualisability: Three-element unary algebras.

Blocks in Finite Hyperfields The complexity of dualisability: Three-element unary algebras

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.547473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 011ffd97-b57b-4f23-aa95-715354e11bae · outbound

This paper cites Nontrivial solutions for homogeneous linear equations over some non-quotient hyperfields.

Blocks in Finite Hyperfields Nontrivial solutions for homogeneous linear equations over some non-quotient hyperfields

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.527384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1e593d19-7838-4a56-991b-eacf904267f3 · outbound

This paper cites Geometry of hyperfields.

Blocks in Finite Hyperfields Geometry of hyperfields

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.506258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0405405d-c5c5-4662-be1f-48847cee3e02 · outbound

This paper cites Approximation des corps valu\'es complets de caract\'eristique p 0 par ceux de caract\'eristique 0.

Blocks in Finite Hyperfields Approximation des corps valu\'es complets de caract\'eristique p 0 par ceux de caract\'eristique 0

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.486118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3f971fd7-57b6-4a00-b95d-debbcd0b42be · outbound

This paper cites A class of hyperrings and hyperfields.

Blocks in Finite Hyperfields A class of hyperrings and hyperfields

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.471070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 26918a33-c326-4c4e-ab8a-07eb6ff9744b · outbound

This paper cites Tropical geometry over the tropical hyperfield.

Blocks in Finite Hyperfields Tropical geometry over the tropical hyperfield

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.455455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation be4f936a-741f-430a-a409-cc4d7ceed2a4 · outbound

This paper cites Methods of constructing hyperfields.

Blocks in Finite Hyperfields Methods of constructing hyperfields

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.436977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ecb71a63-5c57-4081-9bef-7a0feedb4f49 · outbound

This paper cites Theory of hyperrings and hyperfields.

Blocks in Finite Hyperfields Theory of hyperrings and hyperfields

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.420388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 95a8719c-15ae-4fd5-a257-50e51e7bb1e7 · outbound

This paper cites On the borderline of fields and hyperfields.

Blocks in Finite Hyperfields On the borderline of fields and hyperfields

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.400553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8dda512e-ec8b-4130-a937-5ece9f5db342 · outbound

This paper cites On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7.

Blocks in Finite Hyperfields On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T18:22:19.091751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02941351-aeb4-41ea-9f93-33747c1553fa · outbound

This paper cites Convex geometry over ordered hyperfields.

Blocks in Finite Hyperfields Convex geometry over ordered hyperfields

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T18:22:19.096174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 999cdb03-6b12-4960-bcb1-e91977b7f698 · outbound

This paper cites Recent results in hyperring and hyperfield theory.

Blocks in Finite Hyperfields Recent results in hyperring and hyperfield theory

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.372821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 87025ac6-81e9-485d-88bf-d9f9c403b147 · outbound

This paper cites Turnwald.

Blocks in Finite Hyperfields Turnwald

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:22:19.346688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 737dd242-76c2-45bd-9075-f1573c14a5e5 · outbound

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

Blocks in Finite Hyperfields Hyperfields for Tropical Geometry I. Hyperfields and dequantization

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T18:22:19.116729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 8a98e6f1-e40b-4a28-a2b9-df98e53ee9cd · inbound

Semirings cites this paper.

Semirings Blocks in Finite Hyperfields

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T21:49:38.880917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.