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Paper Citation Record · LEDGER

Cyclic polytopes through the lens of iterated integrals

As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2412.11283.

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

pith.paper-citation-record.v1
2412.11283 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:15:49.528947Z

measured 23 of 23 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:11:40.955181Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T00:11:41.111150Z

Reference resolution

22 of 22 outbound references displayed

  • verified exact3
  • verified fuzzy16
  • unresolved3
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 43e5d069-6da4-40a1-968a-c7c05680812a · outbound

This paper cites Varieties of Signature Tensors.

Cyclic polytopes through the lens of iterated integrals Varieties of Signature Tensors

Reference 1

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raw_fallback, observed 2026-08-11T15:15:50.707196Z

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.

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Observation d2b907d8-fee8-40fa-8d27-eaea412e3160 · outbound

This paper cites Convex Hulls of Curves: Volumes and Signatures.

Cyclic polytopes through the lens of iterated integrals Convex Hulls of Curves: Volumes and Signatures

Reference 2

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local_arxiv, observed 2026-08-11T15:15:49.918064Z

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

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Observation d3a01a1f-1a7e-42c2-811f-a17f32798daf · outbound

This paper cites The amplituhedron.

Cyclic polytopes through the lens of iterated integrals The amplituhedron

Reference 3

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raw_fallback, observed 2026-08-11T15:15:50.675625Z

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

source=pdf_text observed=2026-08-11T15:15:49.279285Z digest=sha256:cf4b7b8c2284e3165746eff09b8872c929ce3624269d6b8287d123bf583dd1f2

Observation 30df69db-30ed-4a34-bf98-0cdccc5a99e8 · outbound

This paper cites The signature of a rough path: Uniqueness.

Cyclic polytopes through the lens of iterated integrals The signature of a rough path: Uniqueness

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-11T15:15:50.647937Z

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.

source=pdf_text observed=2026-08-11T15:15:49.289495Z digest=sha256:467be9aa7ab57cea7d1822204cb0c7f0412355cb1996e5b469420677d5b1fde1

Observation 54d2192c-23b8-46c0-973c-dd18ed128fcf · outbound

This paper cites Iterated Integrals and Exponential Homomorphisms.

Cyclic polytopes through the lens of iterated integrals Iterated Integrals and Exponential Homomorphisms

Reference 5

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raw_fallback, observed 2026-08-11T15:15:50.609983Z

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.

source=pdf_text observed=2026-08-11T15:15:49.297919Z digest=sha256:96655ff874a30a88096c8d8de8015a50ce49843c59f8f584f5ff02db96e4e36d

Observation 4ad2c785-ff49-4b2d-a562-5bf20a580cdb · outbound

This paper cites Integration of Paths – A Faithful Representation of Paths by Non- commutative Formal Power Series.

Cyclic polytopes through the lens of iterated integrals Integration of Paths – A Faithful Representation of Paths by Non- commutative Formal Power Series

Reference 6

Resolution
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raw_fallback, observed 2026-08-11T15:15:50.538094Z

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.

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Observation b91493f1-af05-43e6-8282-179617f0d900 · outbound

This paper cites Signatures of paths transformed by polyno- mial maps.

Cyclic polytopes through the lens of iterated integrals Signatures of paths transformed by polyno- mial maps

Reference 7

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

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Observation a18e0029-8558-44d8-be6f-4f0b205372ef · outbound

This paper cites Computational Invariant theory.

Cyclic polytopes through the lens of iterated integrals Computational Invariant theory

Reference 8

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raw_fallback, observed 2026-08-11T15:15:50.435469Z

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

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Observation 01eb9535-bad1-4493-a680-6fdd455a4380 · outbound

This paper cites Time-Warping In- variants of Multidimensional Time Series.

Cyclic polytopes through the lens of iterated integrals Time-Warping In- variants of Multidimensional Time Series

Reference 9

Resolution
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raw_fallback, observed 2026-08-11T15:15:50.406767Z

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

source=pdf_text observed=2026-08-11T15:15:49.353173Z digest=sha256:729176f74e705c051e8a4c97d4de40d38e89af5608ca9166c282450d7df105d9

Observation c4433574-0d36-4825-9bd7-d3b7c3cbc6e3 · outbound

This paper cites Signature invariants charac- terize orbits of paths under compact matrix group action.

Cyclic polytopes through the lens of iterated integrals Signature invariants charac- terize orbits of paths under compact matrix group action

Reference 10

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verified fuzzy
raw_fallback, observed 2026-08-11T15:15:50.351898Z

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

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Observation 5fc2c4c8-febb-4171-8453-74d3276dd7a9 · outbound

This paper cites Areas of areas generate the shuffle algebra.

Cyclic polytopes through the lens of iterated integrals Areas of areas generate the shuffle algebra

Reference 11

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local_arxiv, observed 2026-08-11T15:15:49.857772Z

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

source=pdf_text observed=2026-08-11T15:15:49.393152Z digest=sha256:223d453b5dd81185a93fe005026b4dc7049d9315d75d04a11eaa77f53439915b

Observation a07ede78-378c-4b58-a5f1-f2ea373ae6ab · outbound

This paper cites Invariants of multidimensional time se- ries based on their iterated-integral signature.

Cyclic polytopes through the lens of iterated integrals Invariants of multidimensional time se- ries based on their iterated-integral signature

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:15:50.241160Z

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

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Observation 5afa30c7-dafa-4a9e-8ef8-3fc9bfe5fa98 · outbound

This paper cites Rigidity and polynomial invariants of convex polytopes.

Cyclic polytopes through the lens of iterated integrals Rigidity and polynomial invariants of convex polytopes

Reference 13

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

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Observation 02726f06-9167-4c32-97bb-87d83ceb3c82 · outbound

This paper cites Neighborly and cyclic polytopes.

Cyclic polytopes through the lens of iterated integrals Neighborly and cyclic polytopes

Reference 14

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

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Observation af648871-af52-4f77-acde-8b5b437a4688 · outbound

This paper cites Automorphism groups of cyclic polytopes,.

Cyclic polytopes through the lens of iterated integrals Automorphism groups of cyclic polytopes,

Reference 15

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verified fuzzy
raw_fallback, observed 2026-08-11T15:15:50.117488Z

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

source=pdf_text observed=2026-08-11T15:15:49.449600Z digest=sha256:1b5c182c6a3d791dada18fb034985e120f1b9183ee02784d5d1e8d7be3ced200

Observation c7504dbe-62cb-4d6b-a34a-8ee0ea5057cb · outbound

This paper cites Isoperimetric problems for the convex hulls of polygonal lines and curves in multidimensional spaces.Mathematics of the USSR- Sbornik, 25(2):276, 1975.

Cyclic polytopes through the lens of iterated integrals Isoperimetric problems for the convex hulls of polygonal lines and curves in multidimensional spaces.Mathematics of the USSR- Sbornik, 25(2):276, 1975

Reference 16

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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.

source=pdf_text observed=2026-08-11T15:15:49.470061Z digest=sha256:e1e5b00cfcc7f242f3170e51b2b8d90293557ac211e290460665480944f506f3

Observation fd541052-88bd-4a73-a48b-c33c8083bff6 · outbound

This paper cites Total positivity, Grassmannians, and networks.

Cyclic polytopes through the lens of iterated integrals Total positivity, Grassmannians, and networks

Reference 17

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:15:49.483170Z digest=sha256:0179452b0127c30114950f6d15e1415bb8fbff73beb38036e3e073712a6af829

Observation 3299778d-edb1-4de4-9118-e397f290f7fb · outbound

This paper cites An algebraic geometry of paths via the iterated-integrals signature.

Cyclic polytopes through the lens of iterated integrals An algebraic geometry of paths via the iterated-integrals signature

Reference 18

Resolution
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no resolver link, observed 2026-08-11T15:15:49.495774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:15:49.495774Z digest=sha256:9642b178e6a63819da6f9c8bb6b138bd31108f6336194cadcab1866df25ebd02

Observation 934dd311-1a0b-47f8-bc24-44656665b126 · outbound

This paper cites Conjugation, loop and closure invariants of the iterated-integrals signature.

Cyclic polytopes through the lens of iterated integrals Conjugation, loop and closure invariants of the iterated-integrals signature

Reference 19

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verified exact
local_arxiv, observed 2026-08-11T15:15:49.672196Z

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.

source=pdf_text observed=2026-08-11T15:15:49.502761Z digest=sha256:fe6b881fb0e601c77fcbb5c1993151de71e4b56d8583fa51205b9dbf71526b3b

Observation ed73f6bd-ab5c-4fc3-9a3c-025751e787c7 · outbound

This paper cites Lie Elements and an Algebra Associated With Shuffles.

Cyclic polytopes through the lens of iterated integrals Lie Elements and an Algebra Associated With Shuffles

Reference 20

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

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Observation 69ed503f-5bac-4819-8c2a-9dbb77529445 · outbound

This paper cites Free Lie Algebras, volume 7 of London Mathematical Society Monographs, New Series.

Cyclic polytopes through the lens of iterated integrals Free Lie Algebras, volume 7 of London Mathematical Society Monographs, New Series

Reference 21

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raw_fallback, observed 2026-08-11T15:15:49.950385Z

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

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Observation 6846ef2d-9ba0-4f4c-96fb-bb5a7c696108 · outbound

This paper cites an unresolved cited work.

Cyclic polytopes through the lens of iterated integrals Unresolved cited work

Reference 2003

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

source=pdf_text observed=2026-08-11T15:15:49.459016Z digest=sha256:83fd33fcc00007083eb0b14826ea61b77348b0bef60172203c1678e638c5e163

Pith citing papers

Observation d04ccede-e570-4808-ae48-6adb492a1a6b · inbound

Conjugation, loop and closure invariants of the iterated-integrals signature cites this paper.

Conjugation, loop and closure invariants of the iterated-integrals signature Cyclic polytopes through the lens of iterated integrals

Reference 20

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local_arxiv, observed 2026-08-11T00:11:41.120061Z

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.

source=arxiv_source observed=2026-08-11T00:11:40.955181Z digest=sha256:4cf45bf02affd4074eb2078e52c6d6e0d192d69fa707b991ef9965c473e77bed