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Paper Citation Record · LEDGER

Filtrations of Tope Spaces of Oriented Matroids

As of 23 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2501.11295.

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

pith.paper-citation-record.v1
2501.11295 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T05:40:09.635211Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

26 of 26 outbound references displayed

  • verified exact2
  • verified fuzzy19
  • unresolved5
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ca54ac62-7f34-4b15-8ae9-0cde5722b0ed · outbound

This paper cites Betti numbers of real semistable degenerations via real logarithmic geometry.

Filtrations of Tope Spaces of Oriented Matroids Betti numbers of real semistable degenerations via real logarithmic geometry

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-23T05:42:36.345172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d94d00a5-9d09-4aac-99fb-c25b2c282efd · outbound

This paper cites an unresolved cited work.

Filtrations of Tope Spaces of Oriented Matroids Unresolved cited work

Reference 2

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 3e9fc77d-85b2-4cbe-9806-53642ba36f19 · outbound

This paper cites The homology and shellability of matroids and geometric lattices.

Filtrations of Tope Spaces of Oriented Matroids The homology and shellability of matroids and geometric lattices

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.326342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 86900030-7bd8-4822-80b8-2bb938e94636 · outbound

This paper cites an unresolved cited work.

Filtrations of Tope Spaces of Oriented Matroids Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:42:37.288264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation f8a65f36-6753-4e1e-aed4-8e3e754469e7 · outbound

This paper cites an unresolved cited work.

Filtrations of Tope Spaces of Oriented Matroids Unresolved cited work

Reference 5

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unresolved
raw_fallback, observed 2026-05-23T05:42:37.292729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-23T05:40:09.635211Z digest=sha256:a2c60f7fa82e17ecea1b3e4aeebc9feaa274f1cd5cac2b972467bb91b25ebb12

Observation c9bc180f-8478-4734-8b38-f50f0bd08094 · outbound

This paper cites Cordovil.

Filtrations of Tope Spaces of Oriented Matroids Cordovil

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 581e1b50-a2eb-481d-80f5-16327f47e09e · outbound

This paper cites Topological properties of real algebraic varieties: du cot´ e de chez rokhlin.Russian Mathematical Surveys , 55(4):735–814, aug 2000.

Filtrations of Tope Spaces of Oriented Matroids Topological properties of real algebraic varieties: du cot´ e de chez rokhlin.Russian Mathematical Surveys , 55(4):735–814, aug 2000

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.267135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 7c283f89-43ca-418b-af6e-a21dba49f406 · outbound

This paper cites The Orlik-Solomon complex and Milnor fibre homology.

Filtrations of Tope Spaces of Oriented Matroids The Orlik-Solomon complex and Milnor fibre homology

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.299977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 45acbd38-e2b0-49eb-bcd2-d9bd1a6037fe · outbound

This paper cites Equivariant cohomology and conditional oriented matroids.

Filtrations of Tope Spaces of Oriented Matroids Equivariant cohomology and conditional oriented matroids

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.270370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 729b6ca3-1663-4eb7-a619-c6ca4f90ca82 · outbound

This paper cites Oriented matroids.

Filtrations of Tope Spaces of Oriented Matroids Oriented matroids

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation dc313b06-44f4-4367-9c9f-5806a445f893 · outbound

This paper cites On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non-Radon partitions, and orientations of graphs.

Filtrations of Tope Spaces of Oriented Matroids On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non-Radon partitions, and orientations of graphs

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.247348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4eaa8dd0-649e-477a-9693-a5289eda5b59 · outbound

This paper cites Tropical homology.

Filtrations of Tope Spaces of Oriented Matroids Tropical homology

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.337376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-23T05:40:09.635211Z digest=sha256:726fe442e287220965fb15b27dc22f22585318ef7208a3030bac43353d8451c8

Observation dc786de0-a86e-412b-ae7d-f47a1ee26b5e · outbound

This paper cites Cohomology of real algebraic varieties.

Filtrations of Tope Spaces of Oriented Matroids Cohomology of real algebraic varieties

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.343773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation a91782a1-8069-4813-a28f-6222bbc69a4b · outbound

This paper cites On matroids and Orlik-Solomon algebras.

Filtrations of Tope Spaces of Oriented Matroids On matroids and Orlik-Solomon algebras

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.250670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 35a845db-c040-4e94-8bfe-38a7d8f1b2de · outbound

This paper cites Equivariant cohomology and the Varchenko-Gelfand filtration.

Filtrations of Tope Spaces of Oriented Matroids Equivariant cohomology and the Varchenko-Gelfand filtration

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.347888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b8b575db-5809-4fa0-8174-d3164394a55b · outbound

This paper cites Combinatorics and topology of complements of hyperplanes.

Filtrations of Tope Spaces of Oriented Matroids Combinatorics and topology of complements of hyperplanes

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.273921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-23T05:40:09.635211Z digest=sha256:3c1f65280ede6c7814639a5f21799cea78c95552c791ea83ccaa475218b10495

Observation 9b36f14c-d258-45ca-8b11-152388dc3f19 · outbound

This paper cites Arrangements of hyperplanes , volume 300 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

Filtrations of Tope Spaces of Oriented Matroids Arrangements of hyperplanes , volume 300 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]

Reference 17

Resolution
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raw_fallback, observed 2026-05-23T05:42:37.257178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-23T05:40:09.635211Z digest=sha256:ee50d469a99148e1cde03daf00840838aa66e1e3335fe3b554b886afedb22c39

Observation 80a476c8-faa9-4389-bbd9-abe951ad47ca · outbound

This paper cites an unresolved cited work.

Filtrations of Tope Spaces of Oriented Matroids Unresolved cited work

Reference 18

Resolution
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raw_fallback, observed 2026-05-23T05:42:37.244064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 5873e0ee-200b-4ac9-a132-610854262c8d · outbound

This paper cites Real phase structures on matroid fans and matroid orientations.

Filtrations of Tope Spaces of Oriented Matroids Real phase structures on matroid fans and matroid orientations

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.260550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d50d8131-3ddb-4b01-94c0-c2fcfce9a714 · outbound

This paper cites Real phase structures on tropical manifolds and patchworks in higher codimension.

Filtrations of Tope Spaces of Oriented Matroids Real phase structures on tropical manifolds and patchworks in higher codimension

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-23T05:42:36.339765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation e464c862-b010-4174-ad02-7b683f772f7d · outbound

This paper cites Bounding the Betti numbers of real hypersurfaces near the tropical limit.

Filtrations of Tope Spaces of Oriented Matroids Bounding the Betti numbers of real hypersurfaces near the tropical limit

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.263725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 7ec996d9-3579-4522-bece-a265c21abde0 · outbound

This paper cites Salvetti.

Filtrations of Tope Spaces of Oriented Matroids Salvetti

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.253592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 36a13f2b-57c4-4f1a-afbb-3bde55846b47 · outbound

This paper cites an unresolved cited work.

Filtrations of Tope Spaces of Oriented Matroids Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:42:37.319513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation efcaf5b0-0110-4f5c-8f09-85c46ae34faf · outbound

This paper cites Bilinear form of real configuration of hyperplanes.

Filtrations of Tope Spaces of Oriented Matroids Bilinear form of real configuration of hyperplanes

Reference 24

Resolution
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raw_fallback, observed 2026-05-23T05:42:37.296251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-23T05:40:09.635211Z digest=sha256:151f6e1e2a7f7efaa674a103c68834912ec591053a995ece6cf3787d64a3d5e5

Observation f099c1e0-3a49-44e9-9f0c-ff5b883a7cca · outbound

This paper cites Hilbert’s sixteenth problem.

Filtrations of Tope Spaces of Oriented Matroids Hilbert’s sixteenth problem

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.322834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation ce96a355-0325-4f47-82f9-41967f680d35 · outbound

This paper cites The Orlik-Solomon algebra and the Bergman fan of a matroid.

Filtrations of Tope Spaces of Oriented Matroids The Orlik-Solomon algebra and the Bergman fan of a matroid

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:42:37.333454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-23T05:40:09.635211Z digest=sha256:d70150ad4971135b6687984e0f881d55451e71176a24adb360bbb0e49aee380e

Pith citing papers

No inbound Pith citation observations are available.