Pith. sign in

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 2026-08-12T06:34:41.77262+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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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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.279285Z digest=sha256:647778308b003062a738212f1220f0b481115f1588bddb4152c14e9802e441a5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.289495Z digest=sha256:f52f31fe1ed934cbe23bd288b534c75ef2c44ef8a258508b1d66b4cd68eca38d

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.297919Z digest=sha256:f82ed8d19308858bc7e81fc9e0a9dec1a0cd97b21b029c612d8eec8e1798c0b5

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

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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.314368Z digest=sha256:d9e18092f1fe52de19d7830b8f6d3b425942e9b29f8e270d78cdbd9eb0b5ac1e

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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raw_fallback, observed 2026-08-11T15:15:50.488274Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.324332Z digest=sha256:203bfa9d2973d58b7915e78fb1ada33b06fbe697d6883c211c8de47780aff724

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.343837Z digest=sha256:2f7cd5aa39383e27be991caa692cc94eca043e62bf7028e7cddb9bb1d41314e0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.353173Z digest=sha256:7c4c4a614c48504faaf266b6455db9b019d0a1339944bf3da025fce94b62ebc1

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 2026-08-12T06:34:41.77262+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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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 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.407784Z digest=sha256:f7165525623387f889cd6f22f5a792bfcc41ffaf2e6a46ec688b59fb4eec21cb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.420500Z digest=sha256:aeee836211f00f76cddd5a509f5b3b8d8a03f627ead42d971e9a0f90db4fb1b7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.442398Z digest=sha256:b664646c7bcf91e36934f7da4f1d550d22d3ce8764a69ad806c0fb482443fea5

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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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.449600Z digest=sha256:9d396c94cf862ae144629aa03d9aff0894d8e6830c7808ce1fc18b572185135d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.470061Z digest=sha256:7023e39265c8130601398c76e9a679ea78391559de9382db2a252356f5a1a66e

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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no resolver link, observed 2026-08-11T15:15:49.483170Z

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:15:49.495774Z digest=sha256:913093279ec1d6f8e8cccccecb7c7fa34bee702b3f77b817b3ebe291d85e419c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.502761Z digest=sha256:38943823727ce9e2d7787cef5b4c49c73f6abbdb3c60e47bb42b15a677cc2d46

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.514695Z digest=sha256:74d3cf2de60e7b75739e1ecab5b4f951e3240097a49d8c5bcb5a455e83f607d0

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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:15:49.459016Z digest=sha256:9f3403aaee7a1e9c298fc7af72e7c499c3f45b6f59c7db9d65115fb72b34b588

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T00:11:40.955181Z digest=sha256:ef45b91e6bb89c052943b31e2d685c3cd2ec4ab94f1c0deb6f1baf751c77d68b