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Paper Citation Record · LEDGER

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties

As of 22 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2505.04520.

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

pith.paper-citation-record.v1
2505.04520 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:39:27.343481Z

measured 19 of 19 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T05:38:00.473614Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 708c53db-8acf-4dd6-85e8-f221f968a31a · outbound

This paper cites Motivic and real ´ etale stable homotopy theory.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties Motivic and real ´ etale stable homotopy theory

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:39:27.636755Z

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=2026-08-15T23:39:27.253181Z digest=sha256:405986859b03b669123910cd9955cf34e40fa8baf642eb0e7e4897843468a748

Observation 81cfe44d-1f5d-4576-8c27-d8d2d4bd1438 · outbound

This paper cites Milnor-Witt Motives.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties Milnor-Witt Motives

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T23:39:27.258186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:39:27.258186Z digest=sha256:6d7eec1c0c55e796ceed667e06d545506e66a0e087b2b5d197cb68e1719b04c6

Observation d3375ac5-34e1-420b-bf70-2baf0baff484 · outbound

This paper cites Integral cohomology groups of real t oric manifolds and small covers.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties Integral cohomology groups of real t oric manifolds and small covers

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:39:27.622029Z

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=2026-08-15T23:39:27.263129Z digest=sha256:a076ad3ae163d8ea433185071ba9facf820498a7ab1057f245e091f309d0742a

Observation e9a98c23-4eab-4e23-8655-7e8f45f68d67 · outbound

This paper cites Geometric represent ations of finite groups on real toric spaces, 2019.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties Geometric represent ations of finite groups on real toric spaces, 2019

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:39:27.606320Z

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=2026-08-15T23:39:27.267774Z digest=sha256:d425361c5a9102c7543fe2235051bff1cd53ba764cf04540a6df8d35ab83bea7

Observation d132b566-1dc1-417e-9c3d-5ab0b7375230 · outbound

This paper cites The cohomology rings of real permutohedral varieties, 2024.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties The cohomology rings of real permutohedral varieties, 2024

Reference 5

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raw_fallback, observed 2026-08-15T23:39:27.589734Z

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=2026-08-15T23:39:27.272626Z digest=sha256:d7ecd17cfaa3d13ea28b6ca696bbfc27140044096cdca3229f53d0d87f62fa62

Observation 0875b801-2d02-44aa-b906-616fea55863d · outbound

This paper cites Wonderful models of subsp ace arrangements.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties Wonderful models of subsp ace arrangements

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:39:27.572266Z

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=2026-08-15T23:39:27.278726Z digest=sha256:a15fedce0696c4c3f343af642d80e79733ca6dc7bac853afa9193cbf9b57ffe6

Observation 3b00e4af-c42c-43c6-8285-108754581a26 · outbound

This paper cites The homogeneous coordinate ring of a toric variety.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties The homogeneous coordinate ring of a toric variety

Reference 7

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verified fuzzy
raw_fallback, observed 2026-08-15T23:39:27.557129Z

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=2026-08-15T23:39:27.285404Z digest=sha256:2ac702151096e697a74f5d69ab97c0681274d9ba521e27e097340378e934b105

Observation f53882a0-686f-412c-83e0-b3919a48b17e · outbound

This paper cites Springer Science & Business Media, 1996.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties Springer Science & Business Media, 1996

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:39:27.540816Z

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=2026-08-15T23:39:27.290106Z digest=sha256:d29864dcb740944d73d870f96d87bbf1535934422e4bbd552978bb77dfa16433

Observation fce67bf0-5f57-4d8f-8b66-d1bf6b22dd98 · outbound

This paper cites The projective bundle theorem for I j-cohomology.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties The projective bundle theorem for I j-cohomology

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:39:27.524940Z

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=2026-08-15T23:39:27.296164Z digest=sha256:70baec42f0594ab68414e49ed4e69737ac44db5bc9ca8cfa6e6a2e85d7ea5ae9

Observation ff82896c-2fdc-4810-a74d-8c6621d461d7 · outbound

This paper cites On Tate Milnor-Witt Motives, 2023.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties On Tate Milnor-Witt Motives, 2023

Reference 10

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verified fuzzy
raw_fallback, observed 2026-08-15T23:39:27.509562Z

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=2026-08-15T23:39:27.301121Z digest=sha256:7b088c9f33b8545928738de6e00080a73c748ab21a37750adf961a36e3983c1d

Observation 293eb4b7-1877-4025-9011-5c7a894f730f · outbound

This paper cites Introduction to toric varieties.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties Introduction to toric varieties

Reference 11

Resolution
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no resolver link, observed 2026-08-15T23:39:27.307296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:39:27.307296Z digest=sha256:bb154c8ba31099c68f18cb0de60435135b53279693c9a94f2d15d5dc0d02fd88

Observation 47ed3e06-d20c-4df0-b670-7f71a3b6c02c · outbound

This paper cites The real cycle class map.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties The real cycle class map

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:39:27.484635Z

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=2026-08-15T23:39:27.311894Z digest=sha256:7f19ff683d791d657063c26ae040355d8e81819bdcc569128666ee4080122420

Observation 91543370-b709-4d49-8453-ad816d2ca3dc · outbound

This paper cites Polyhedral products in abstract and motivic hom otopy theory.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties Polyhedral products in abstract and motivic hom otopy theory

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:39:27.468008Z

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=2026-08-15T23:39:27.317412Z digest=sha256:a2ef7e2f3b4055a01c62e01ced2c4520f7c2078b56766794b715d283636424f2

Observation 3cbed3fc-7214-4d48-b30c-f0d7e578e765 · outbound

This paper cites The stable A1 connectivity theorems.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties The stable A1 connectivity theorems

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:39:27.452880Z

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=2026-08-15T23:39:27.322841Z digest=sha256:0859d1534f13bde93f6e4f8a4b9dec93cf1dfaf7ea89e5155ed05f3edb9848c0

Observation 606de1de-6dae-43bc-8b15-076a2ba9c8ff · outbound

This paper cites A1-Algebraic Topology over a Field , volume 2052.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties A1-Algebraic Topology over a Field , volume 2052

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:39:27.438614Z

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=2026-08-15T23:39:27.327543Z digest=sha256:0a346ed583511387ee347ae944804892adea3d241ef35561dc135d62045c05ae

Observation 585ff964-c22d-440b-ba30-8a855eea9c31 · outbound

This paper cites Cellular A1-homology and the motivic version of Matsumoto’s theorem.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties Cellular A1-homology and the motivic version of Matsumoto’s theorem

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:39:27.424422Z

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=2026-08-15T23:39:27.333594Z digest=sha256:06e981d69abc2528c2678793040af49f79f368d31c9b7dbceeaefd225feb1278

Observation 548c3216-60d6-4e5e-8a3f-895d33a0fe97 · outbound

This paper cites A1 homotopy theory of schemes.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties A1 homotopy theory of schemes

Reference 17

Resolution
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raw_fallback, observed 2026-08-15T23:39:27.408022Z

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=2026-08-15T23:39:27.338793Z digest=sha256:a385f3b7b47f34ca473e1a32b6842701c247f0b8f7fff4f8cab4404ad48a22a5

Observation 6f544145-537a-44a4-b119-7f9998d3a689 · outbound

This paper cites The toric variety associated to Weyl chambers , pages 153–161.

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties The toric variety associated to Weyl chambers , pages 153–161

Reference 18

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raw_fallback, observed 2026-08-15T23:39:27.392889Z

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=2026-08-15T23:39:27.343481Z digest=sha256:0985cc0180d2c893a47df17c0d677007cd2edb63ac8fa9a3db996a8e9eedef1d

Pith citing papers

Observation f0ce6c25-3aa2-4d71-803a-db22bf1546c6 · inbound

Cellular $\mathbb{A}^1$-Homology from Bruhat Boundary Matrices of Split Semisimple Flag Varieties cites this paper.

Cellular $\mathbb{A}^1$-Homology from Bruhat Boundary Matrices of Split Semisimple Flag Varieties Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-12T05:38:00.473614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T05:38:00.473614Z digest=sha256:c7284a157be50425b4343a41c50382a30d112f646b56ea9c85e0f9bb3af2b0e3