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Paper Citation Record · LEDGER

How to stab a polytope

As of 20 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2412.00551.

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

pith.paper-citation-record.v1
2412.00551 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:28:24.663852Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a580829f-b9d0-4279-ae35-d64158d1639d · outbound

This paper cites Arkani-Hamed, Y.

How to stab a polytope Arkani-Hamed, Y

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.614172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 8983484f-0224-432f-8a2d-8c1d8c4565b6 · outbound

This paper cites Arkani-Hamed, H.

How to stab a polytope Arkani-Hamed, H

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.527565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T05:28:24.209287Z digest=sha256:d6bc6a9c66bfcbcbfce522f6c143ae07c730fbe458e2724c198f9fbdbd83c639

Observation 6924ec0a-fe22-464e-a74d-6be56c29abe8 · outbound

This paper cites Arkani-Hamed and J.

How to stab a polytope Arkani-Hamed and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.514020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T05:28:24.252016Z digest=sha256:a90587f06aa65edac094581932b28f9c8ea262c0948c3930eee95866da8a5cfa

Observation 8b3d19db-91aa-4ef2-9189-739a4723aab4 · outbound

This paper cites Bezanson, A.

How to stab a polytope Bezanson, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.502613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 9f0f0ef5-04b0-45b0-ac87-dc9ea2604f3b · outbound

This paper cites Brandenburg and J.

How to stab a polytope Brandenburg and J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.487662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T05:28:24.328210Z digest=sha256:cb0c3c00ac508a26e1e2e22324b74107b8a028be2023e1170898d1e3f634c0ba

Observation 98d946f5-7e1d-43cf-8416-1e44956f028b · outbound

This paper cites Breiding, B.

How to stab a polytope Breiding, B

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-12T05:28:24.337710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:28:24.337710Z digest=sha256:1be0d301868083cd1f653c9b3b6b371bfa4ddd2505764bffd66b7f9f3adc359b

Observation f84287a1-cbcb-4a54-b2c9-8fded424014d · outbound

This paper cites Dalbec, and B Sturmfels: Introduction to Chow forms , Invariant Methods in Discrete and Computational Geometry: Proceedings of the Curac ¸ao Conference, 13–17 June, 1994 (1995).

How to stab a polytope Dalbec, and B Sturmfels: Introduction to Chow forms , Invariant Methods in Discrete and Computational Geometry: Proceedings of the Curac ¸ao Conference, 13–17 June, 1994 (1995)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.465007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T05:28:24.342685Z digest=sha256:d5d4617a97cf3ddd5b2be1db06f5ec3945ac81de63a51c26662f3f7cc774739f

Observation 1e7c0eec-99fc-4436-805c-4390ea7ab925 · outbound

This paper cites Dian, and P.

How to stab a polytope Dian, and P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.426459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T05:28:24.346735Z digest=sha256:37ef1515f9a57ec2cb6b8bc8f848796cf4fdd4e0d95240dff65007f352c22cea

Observation 1a4c288d-2a3b-4c60-863b-93a3af6cceaf · outbound

This paper cites Cluster algebras and tilings for the m=4 amplituhedron.

How to stab a polytope Cluster algebras and tilings for the m=4 amplituhedron

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-12T05:28:24.350459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:28:24.350459Z digest=sha256:c94a8286f2e6c9fdd5d1c717fe906c9b7672b7abfd26509b68ca8701244fc358

Observation c4f08206-aa29-4fdc-9444-d5d13d579b5b · outbound

This paper cites Fulton: Young tableaux: with applications to representation theory and geom- etry, Cambridge University Press No.

How to stab a polytope Fulton: Young tableaux: with applications to representation theory and geom- etry, Cambridge University Press No

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.331843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T05:28:24.355265Z digest=sha256:a85ec9ee70a0e157e16f7fbeb925e6e72fd07e8f1b2fb1ee8c635472cfea4a3b

Observation 5b547202-6bac-4895-b39c-6700c56f60ea · outbound

This paper cites Gale: Neighborly and cyclic polytopes, Proc.

How to stab a polytope Gale: Neighborly and cyclic polytopes, Proc

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.180332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T05:28:24.359393Z digest=sha256:fe08bd150832f37c2033d23f5d4862e933f637209a644d0deb99d469193d3c1c

Observation fe10a5f3-bdf7-49c8-86c0-11cb109f2fff · outbound

This paper cites an unresolved cited work.

How to stab a polytope Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:28:25.146922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T05:28:24.437000Z digest=sha256:41352087b0da0c7e9a3d96565ff86fc7b0c7b85831be64d64dc26d11ad6ba9be

Observation 5c43e589-4318-402a-ac02-635fec844fbc · outbound

This paper cites Karp: Sign variation, the Grassmannian, and total positivity, Journal of Com- binatorial Theory, Series A No.

How to stab a polytope Karp: Sign variation, the Grassmannian, and total positivity, Journal of Com- binatorial Theory, Series A No

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.131231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 17188cf1-0454-4712-a29f-07b603b52f0d · outbound

This paper cites Karp and L.

How to stab a polytope Karp and L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.116843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T05:28:24.561725Z digest=sha256:cf0a2f52ac350307971b73d057ea6502a86326195991b3f5a2a470e1a0a17b97

Observation 61ef00c5-3161-4d04-a836-107124d1325c · outbound

This paper cites Lam: Totally nonnegative Grassmannian and Grassmann polytopes , Current Developments in Mathematics No.1 (2014).

How to stab a polytope Lam: Totally nonnegative Grassmannian and Grassmann polytopes , Current Developments in Mathematics No.1 (2014)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.100615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T05:28:24.620279Z digest=sha256:49ce4d62880e4280753ce74e2cecad11814b45ec257010b4588a47194c3edf76

Observation a74500b8-7c03-4be5-a36c-d7103f8861ea · outbound

This paper cites Lukowski, M.

How to stab a polytope Lukowski, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.076288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T05:28:24.631908Z digest=sha256:3e57148d2f216bf564064cca690ee0d6c794ced5191995c1c253049f8777784a

Observation c8de49d3-cbed-4247-aa74-aa17195e41e9 · outbound

This paper cites Combinatorics of $m=1$ Grasstopes.

How to stab a polytope Combinatorics of $m=1$ Grasstopes

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-12T05:28:24.782055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T05:28:24.640944Z digest=sha256:c19cbf2a775fbca30afcbb5060bf655c0cdafff7df397ad62111c37078e3424c

Observation cc955a9c-7f1c-452c-a7fc-27763a1d82e9 · outbound

This paper cites Hyperplane Arrangements in the Grassmannian.

How to stab a polytope Hyperplane Arrangements in the Grassmannian

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-12T05:28:24.645277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:28:24.645277Z digest=sha256:89c023845687090cf479862b2548f95c992e653cf7bc54e26c05f6b2151b2c61

Observation 008b8b84-7253-4df0-bace-cac0795b4dfc · outbound

This paper cites The m=2 amplituhedron and the hypersimplex: signs, clusters, triangulations, Eulerian numbers.

How to stab a polytope The m=2 amplituhedron and the hypersimplex: signs, clusters, triangulations, Eulerian numbers

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-12T05:28:24.650265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:28:24.650265Z digest=sha256:1dc1abd503f1fcfef0bf52178c16d7e08e94df7bcc38f5718cd7671c352e5066

Observation a4808a70-ae7c-4b83-a751-65b78865fecc · outbound

This paper cites Adjoints and Canonical Forms of Tree Amplituhedra.

How to stab a polytope Adjoints and Canonical Forms of Tree Amplituhedra

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-12T05:28:24.657934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:28:24.657934Z digest=sha256:ca4d299c3cc3b0f2de076ec24fb798f6567ddc16907db5474631b64231764804

Observation 5f7a1c30-d2b5-4a25-9b68-f45477c466f2 · outbound

This paper cites Sturmfels: Totally positive matrices and cyclic polytopes, Linear Algebra and its Applications No.

How to stab a polytope Sturmfels: Totally positive matrices and cyclic polytopes, Linear Algebra and its Applications No

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:28:25.014379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T05:28:24.663852Z digest=sha256:a6f6f892775b29fe27ffe14b9176aac392bfafb3459b8547fbdf149ca4120236

Pith citing papers

No inbound Pith citation observations are available.