Paper Citation Record · LEDGER

Exterior Cyclic Polytopes and Convexity of Amplituhedra

As of 11 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 2 inbound Pith citation observations for arXiv:2507.17620.

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

pith.paper-citation-record.v1
2507.17620 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:59:16.151771Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:55:38.508952Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T10:53:19.169774Z

Reference resolution

29 of 29 outbound references displayed

verified exact1
verified fuzzy26
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e48f745a-db21-40da-88ed-2838fde68689 · outbound

This paper cites Positive geometries and canonical forms.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Positive geometries and canonical forms

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:22.673704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6f995f60-f02e-407e-a2a7-04930ade5055 · outbound

This paper cites Unwinding the amplituhedron in binary.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Unwinding the amplituhedron in binary

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:22.488110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1b5b396b-86e5-4bc9-b09d-90441bba9125 · outbound

This paper cites The Amplituhedron.

Exterior Cyclic Polytopes and Convexity of Amplituhedra The Amplituhedron

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:22.304117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2aea2ffd-621a-4a37-a08f-f2fd5c0d978e · outbound

This paper cites Parametrizations of Canonical Bases and Totally Positive Matrices.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Parametrizations of Canonical Bases and Totally Positive Matrices

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:22.148065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f152acf7-a8bc-475b-9a08-7d6e80444d88 · outbound

This paper cites Completion of tree metrics and rank-2 matrices.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Completion of tree metrics and rank-2 matrices

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:21.964850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0a5dbfdb-34cf-4c5b-a9cc-2d18f9f7ead9 · outbound

This paper cites Bochnak, M.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Bochnak, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:21.852095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3927b724-0adf-4f58-bcb5-d0d4a0553143 · outbound

This paper cites Rigidity matroids and linear algebraic matroids with applications to matrix completion and tensor codes.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Rigidity matroids and linear algebraic matroids with applications to matrix completion and tensor codes

Reference 7

Resolution: verified exact; raw_fallback, observed 2026-08-06T14:59:16.516248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation de84f369-6d2f-431d-b4c8-04d7eed86808 · outbound

This paper cites Convexity on Grassmann manifolds.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Convexity on Grassmann manifolds

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:21.670253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 54bdac99-1185-44a9-bde1-a7e25c68bad5 · outbound

This paper cites Bar-and-joint rigidity on the moment curve coincides with cofactor rigidity on a conic.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Bar-and-joint rigidity on the moment curve coincides with cofactor rigidity on a conic

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:21.509213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a53611ff-e59c-4b08-9fd5-8fed0f6dc7a2 · outbound

This paper cites The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes inN = 4 SYM.

Exterior Cyclic Polytopes and Convexity of Amplituhedra The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes inN = 4 SYM

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:21.351978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f43e5727-f364-4730-8142-9cb6af593aad · outbound

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

Exterior Cyclic Polytopes and Convexity of Amplituhedra Cluster algebras and tilings for the m = 4 amplituhedron

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:21.199484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d7be136d-4372-46aa-9169-2ded654fc881 · outbound

This paper cites an unresolved cited work.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:59:21.024829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation df51f2cc-f4ef-4a64-b3dc-51d9d109ddf8 · outbound

This paper cites The amplituhedron BCFW triangu- lation.

Exterior Cyclic Polytopes and Convexity of Amplituhedra The amplituhedron BCFW triangu- lation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:20.911163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bf5eb4da-bb8c-4037-92c7-318aeca87290 · outbound

This paper cites The totally nonnegative Grassmannian is a ball.

Exterior Cyclic Polytopes and Convexity of Amplituhedra The totally nonnegative Grassmannian is a ball

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:20.655759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1e056c75-c0aa-4d98-9fc5-602789e45d88 · outbound

This paper cites Parity duality for the amplituhedron.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Parity duality for the amplituhedron

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:20.398221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f0c9085f-6202-4337-b614-e1af39056bd2 · outbound

This paper cites Positivity properties of scattering amplitudes.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Positivity properties of scattering amplitudes

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:20.246071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 85f081f3-15ea-475e-a362-1893a355ba16 · outbound

This paper cites Positive geometry, local triangulations, and the dual of the Amplituhedron.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Positive geometry, local triangulations, and the dual of the Amplituhedron

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:20.000047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7ac53e48-17e6-4ed6-8388-baad77ca665f · outbound

This paper cites Eliminating spurious poles from gauge-theoretic amplitudes.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Eliminating spurious poles from gauge-theoretic amplitudes

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:19.672819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7bf52ccc-2cef-4b7f-9e79-dc5072f036f7 · outbound

This paper cites Hyperconnectivity of graphs.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Hyperconnectivity of graphs

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:19.310623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 89c23160-76be-49cf-97eb-16d4715b650f · outbound

This paper cites Them = 1 Amplituhedron and Cyclic Hyperplane Arrangements.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Them = 1 Amplituhedron and Cyclic Hyperplane Arrangements

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:19.109789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b4623c47-3099-4302-828e-815b556a3230 · outbound

This paper cites Hyperbolic secant varieties of M-curves.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Hyperbolic secant varieties of M-curves

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:18.942917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4d7f150c-70d0-4d11-8384-06d52c973478 · outbound

This paper cites On the face stratification of the $m=2$ amplituhedron.

Exterior Cyclic Polytopes and Convexity of Amplituhedra On the face stratification of the $m=2$ amplituhedron

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T14:59:15.002827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd831462-d6c8-4894-9e12-7015f4192dfd · outbound

This paper cites Canonical Forms as Dual Volumes (in progress).

Exterior Cyclic Polytopes and Convexity of Amplituhedra Canonical Forms as Dual Volumes (in progress)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:18.696728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 30fd048e-69d2-4e29-9326-054d0b842d0b · outbound

This paper cites The twist for positroid varieties.

Exterior Cyclic Polytopes and Convexity of Amplituhedra The twist for positroid varieties

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:18.324505Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 276088e7-e554-4b46-9680-ad90ec0b44dd · outbound

This paper cites Matroid Theory.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Matroid Theory

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:18.113893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 96f7e67d-0905-4f64-92b1-980c05e1da22 · outbound

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

Exterior Cyclic Polytopes and Convexity of Amplituhedra The m = 2 amplituhedron and the hypersimplex: Signs, clusters, tilings, Eulerian numbers

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:17.672312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 30edd18f-29a9-460b-8238-09d565f6f9cb · outbound

This paper cites Adjoints and canonical forms of tree amplituhedra.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Adjoints and canonical forms of tree amplituhedra

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:17.400260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4ddfe83b-4a86-4f43-908f-8535e497be45 · outbound

This paper cites Algebraic Boundaries of Convex Semi-algebraic Sets.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Algebraic Boundaries of Convex Semi-algebraic Sets

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:17.065780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6182044c-eeaf-4b91-89c9-f023fa244103 · outbound

This paper cites Encyclopedia of mathematics and its applications: Oriented matroids series number 46.

Exterior Cyclic Polytopes and Convexity of Amplituhedra Encyclopedia of mathematics and its applications: Oriented matroids series number 46

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:59:16.779121Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 297f401e-f280-478b-ba4f-9c84e0d00d6c · inbound

Canonical Forms as Dual Volumes cites this paper.

Canonical Forms as Dual Volumes Exterior Cyclic Polytopes and Convexity of Amplituhedra

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-05T11:55:38.508952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f536e393-68c2-4e00-b999-4f6ab5c2c30c · inbound

Multi-Loop Negative Geometries cites this paper.

Multi-Loop Negative Geometries Exterior Cyclic Polytopes and Convexity of Amplituhedra

Reference 59

Resolution: verified exact; arxiv_id, observed 2026-06-29T10:53:19.171732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.