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Paper Citation Record · LEDGER

Perfect matroids over hyperfields

As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:1908.03420.

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

pith.paper-citation-record.v1
1908.03420 v3

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:22:34.350080Z

measured 21 of 21 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 2026-05-24T02:11:08.847255Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-24T02:13:45.060558Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact5
  • verified fuzzy7
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d5a83cd0-8776-4328-b1d2-2cfbce362864 · outbound

This paper cites Vectors of matroids over tracts.

Perfect matroids over hyperfields Vectors of matroids over tracts

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T14:22:34.248597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:22:34.248597Z digest=sha256:d50172e2ac6d0462c307df0ae2dd1297617562ff8612b2f6f619c60b7adbe2e7

Observation 2ba4040f-3f32-40e3-b018-13b67b717b87 · outbound

This paper cites Matroids over partial hyperstructures.

Perfect matroids over hyperfields Matroids over partial hyperstructures

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:22:34.504480Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.254031Z digest=sha256:4576aee039ef25bccd14fb35cdde73f38a18f1b7e5923bb15534e00388603b6d

Observation 1b951f51-a492-4a85-b7b4-9d1855deae92 · outbound

This paper cites Bollen, Jan Draisma, and Rudi Pendavingh.

Perfect matroids over hyperfields Bollen, Jan Draisma, and Rudi Pendavingh

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:22:34.727995Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.260222Z digest=sha256:c2f444e76224785e7da0a0e9b949af209ba3d9210ed02a9c4ec68152a42494fc

Observation e735a076-eef0-46a9-bfc7-b6f996cc60b5 · outbound

This paper cites o rner, Michel Las Vergnas, Bernd Sturmfels, Neil White, and G\.

Perfect matroids over hyperfields o rner, Michel Las Vergnas, Bernd Sturmfels, Neil White, and G\

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T14:22:34.265220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:22:34.265220Z digest=sha256:6eb024f754ea9dc3f317976edbef09550dc4f33a052e59ced126f46995809ed9

Observation bd9414dd-0484-4ab5-adf3-fb4aac362a0c · outbound

This paper cites Matroids and their Dressians.

Perfect matroids over hyperfields Matroids and their Dressians

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:22:34.476478Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.270923Z digest=sha256:36de41dcebe878c445f9dfcc19e148d45de0910a0fd4c62c050d24050e99025a

Observation 47366ea2-0446-4961-ae1e-be95cab03b71 · outbound

This paper cites Classification of doubly distributive skew hyperfields and stringent hypergroups.

Perfect matroids over hyperfields Classification of doubly distributive skew hyperfields and stringent hypergroups

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:22:34.453877Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.276550Z digest=sha256:f5b64f2121d68a14c7c6c17a960f9fb81b1b8b65f4652015cd65b8aaade26f2d

Observation 68ab28c9-6a4c-4380-9e8e-a9093b7fcdcf · outbound

This paper cites an unresolved cited work.

Perfect matroids over hyperfields Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:22:34.700023Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.284387Z digest=sha256:b4f79dec8e5b264453cac77a36cde135659c6ac8784e99da3e4b9988da6bf042

Observation 90fb3b87-c2f8-4b2c-85be-10982f439f9b · outbound

This paper cites an unresolved cited work.

Perfect matroids over hyperfields Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:22:34.677895Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.290407Z digest=sha256:956993764ae955a1308c729bb62d6d1f2f0bb599a0f0b35eecec1bd4e56381e6

Observation b4cc5682-486b-464d-b6f0-c2a3e9137a12 · outbound

This paper cites an unresolved cited work.

Perfect matroids over hyperfields Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T14:22:34.295354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:22:34.295354Z digest=sha256:2fdc9e137c688850d885891582d1899241e405562d95f80323db059278e89f6a

Observation 62740df4-724e-439d-90f5-6bd7a9440af2 · outbound

This paper cites The diagonal of tropical matroid varieties and cycle intersections.

Perfect matroids over hyperfields The diagonal of tropical matroid varieties and cycle intersections

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:22:34.652752Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.300288Z digest=sha256:09ee4c25f7ebedbf1ff38a2d31765e8ab93f2590175f6e0ed7aa0d1088969470

Observation 58ecd2bd-c2aa-47d7-b5f8-73029ce6d826 · outbound

This paper cites On the relation between hyperrings and fuzzy rings.

Perfect matroids over hyperfields On the relation between hyperrings and fuzzy rings

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T14:22:34.305234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:22:34.305234Z digest=sha256:5f2f2ed0815178c154ec0dfd62bd1bcdcef9c2f870b9a4e18bd99728c5fd7557

Observation 0b534eb8-d219-4c81-8224-3c2285c529d4 · outbound

This paper cites Real Tropical Singularities and Bergman Fans.

Perfect matroids over hyperfields Real Tropical Singularities and Bergman Fans

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:22:34.431287Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.310806Z digest=sha256:be4b25162d77d46aa25287bfb27a2568e956d0674f4df74975161adbc5ee4d67

Observation 373428e6-68bf-4572-8090-40c3ae5b2e7a · outbound

This paper cites Approximation des corps valu\' e s complets de caract\' e ristique p =0 par ceux de caract\' e ristique 0.

Perfect matroids over hyperfields Approximation des corps valu\' e s complets de caract\' e ristique p =0 par ceux de caract\' e ristique 0

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:22:34.625835Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.316300Z digest=sha256:5435e95e57a832a2a9ec33fb62fb1bcd3803b1ff1495db7fdf9ef1f8422e89e5

Observation 264966b4-78a9-4bc3-9aca-b9e1b7f2213c · outbound

This paper cites A class of hyperrings and hyperfields.

Perfect matroids over hyperfields A class of hyperrings and hyperfields

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:22:34.605577Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.321234Z digest=sha256:9b6d45e56574f09311eb2b323443c24c4a08db9286181eca0ac24d7b136c6cdc

Observation 22c7f4e2-a9fa-4440-8e7c-bfc28afda7c3 · outbound

This paper cites an unresolved cited work.

Perfect matroids over hyperfields Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:22:34.586234Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.325902Z digest=sha256:33e79275e95539bd207e3fd25e63b60a19d9fd62e573012ec51e6c77538c4e77

Observation 229c56a7-98ac-44ec-a416-82c4faaccd02 · outbound

This paper cites On circuit valuation of matroids.

Perfect matroids over hyperfields On circuit valuation of matroids

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:22:34.568077Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.330461Z digest=sha256:0ac60a051cbaa2e6122b8dd3209a8994cb817029dd8d097f199e5bfa446be0e2

Observation e231799e-bd7f-4819-bacc-197c1016cd2d · outbound

This paper cites Field extensions, Derivations, and Matroids over Skew Hyperfields.

Perfect matroids over hyperfields Field extensions, Derivations, and Matroids over Skew Hyperfields

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:22:34.407391Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.335376Z digest=sha256:665e20df579e2be2e5ec4bd4e14ba8e4a27af1902a514f23064edcb3374bef30

Observation 96343401-6b2a-4588-9938-f1d003a920c6 · outbound

This paper cites Computing tropical linear spaces.

Perfect matroids over hyperfields Computing tropical linear spaces

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:22:34.549876Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.340632Z digest=sha256:39561e82f42920a80a715146681361e9a1824c9d45eaf569b4d20da0a55d19f6

Observation 1793b182-9e2f-448c-a5ff-e64f1bd4d403 · outbound

This paper cites A tropical intersection product in matroidal fans.

Perfect matroids over hyperfields A tropical intersection product in matroidal fans

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:22:34.533728Z

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.

source=arxiv_source observed=2026-08-14T14:22:34.345415Z digest=sha256:9591f9e7fd132f61e933e0ae7d91cceb1d8ac1ae357373997b315d8c6c1f0b41

Observation 67105d75-1f52-4d69-9bae-017c25d0926f · outbound

This paper cites an unresolved cited work.

Perfect matroids over hyperfields Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-14T14:22:34.350080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:22:34.350080Z digest=sha256:b1a2f656b68d8bfd11f648a21264a7189add37b936c387a32bfe909fda47a927

Pith citing papers

Observation 317d9436-4aa7-41b5-878c-f7f01f7fa193 · inbound

Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and $\mathbb{F}_1$-points cites this paper.

Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and $\mathbb{F}_1$-points Perfect matroids over hyperfields

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-24T02:13:45.062527Z

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.

source=arxiv_source observed=2026-05-24T02:11:08.847255Z digest=sha256:04fa767c1bd3f3337e69752e2c1f71548edb3157dc640417dcf3ce777f63ed1f