Pith. sign in

Paper Citation Record · LEDGER

Cyclic polytopes through the lens of iterated integrals

As of 15 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 2026-08-14T06:32:32.682623+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

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.262093Z digest=sha256:ee868114f55d2a470591709247b23c032dd1fdb0f24eda07578769f60089acf7

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

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.271408Z digest=sha256:f76bd4bdee82b29511876a9b5411a2e0b9140bd984dd6ee51a2142fa85a96aa9

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

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.279285Z digest=sha256:635c08eaea6a877f732dd625cbbced47c71a4156dfcbef5955ee3748ad4a6f9c

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.289495Z digest=sha256:0735889aae9f4bb9b5de77b105c7fcbbf0e955a0c97888a1503a8e627aeefb54

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.297919Z digest=sha256:70edcb2ebe62243966b36f6b37d1f923e215e0356b67623936457616f15f5d87

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.314368Z digest=sha256:c067c5a5ab64953163f13af4b6a725971789a16d4726094d2f0d28af500f7d5a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.324332Z digest=sha256:b27cfadb3ed30119a167bb873070b15c7a1c54c759e911001eb2428dc7f7c0a7

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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source=pdf_text observed=2026-08-11T15:15:49.343837Z digest=sha256:af47314dad0cdfe7effa07e1af96f5c61a3b4e75561aa9a16a39c91997a833a4

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

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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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.353173Z digest=sha256:956a00c56e818ffe7e037b37b89fade09d8d421f07b52ef78d2048d6378c3697

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

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+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

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

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.393152Z digest=sha256:4a51a0af6479daeaae7e5178f7ea6d3228903e498910f1c91c8451ec99333b4c

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

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.420500Z digest=sha256:50d49cf7772a202a5b3a33fe85ce97d6eb2e417ae0b3a0eca8480086c07bf079

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.442398Z digest=sha256:f921f89e7561507476c0d9137cbe07e3086508c83f7687d8bd5e2b9a88b19c4c

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

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.449600Z digest=sha256:0de714424d2d1729f6305b2189719c6ef96afbdc78389e95e4706cf9b9827521

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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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.470061Z digest=sha256:1a740db0ba7316bc032b9740aa38ee2d0aa8a26135d86e141b03cf77ce27d521

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=sha256:18964b7747300c4256fb9a588782b41d144e190c3e94e264cabda983dc6fbf40

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=sha256:93298f2e87420f28fe90e41e1d6e0c11c7d1da96625e5ac2346d484707f846de

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

Resolution
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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.502761Z digest=sha256:5ecdecdf44b3c95f642d7bda809a21f89e94657d4ec96c8161dd2f799ce80b9b

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

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.514695Z digest=sha256:80d68c3215bc9eda3dc807f581a1a47c464a2e14e9208f96698d1427af5bd9a2

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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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:15:49.459016Z digest=sha256:7ef076f390f9588624d448b41b6eb162d25d053730c6e1470e9c9740b84185b4

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

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T00:11:40.955181Z digest=sha256:6d378f147e7c6711b8ac9299378abd709ee99d24397fd8139ca80f06e4bd5d22