Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T19:32:17.720912Z
Paper Citation Record · LEDGER
Thin homotopy and the signature of piecewise linear surfaces
As of 16 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 1 inbound Pith citation observation for arXiv:2506.16657.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-16T07:43:15.886960Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-16T07:47:33.174888Z
Reference resolution
55 of 55 outbound references displayed
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- unresolved23
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a38a009f-6b51-4932-a5ea-b3ab181bbbf6 · outbound
This paper cites The A ∞ de Rham Theorem and Integration of Representations up to Homotopy.
Thin homotopy and the signature of piecewise linear surfaces The A ∞ de Rham Theorem and Integration of Representations up to Homotopy
Reference 1
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Source-reported events for the cited work
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Observation 257a460b-67d7-48b1-b561-3212b5f559f7 · outbound
This paper cites Higher Gauge Theory: 2-Connections on 2-Bundles.
Thin homotopy and the signature of piecewise linear surfaces Higher Gauge Theory: 2-Connections on 2-Bundles
Reference 2
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a15c3109-7b8a-44f4-92ed-b84699d0dc12 · outbound
This paper cites an unresolved cited work.
Thin homotopy and the signature of piecewise linear surfaces Unresolved cited work
Reference 3
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Source-reported events for the cited work
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Observation d4f461a8-2bad-4626-87e3-b756cb5a36a7 · outbound
This paper cites an unresolved cited work.
Thin homotopy and the signature of piecewise linear surfaces Unresolved cited work
Reference 4
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Source-reported events for the cited work
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Observation f8bc84da-d5f0-4b11-8f54-5d5c86e20552 · outbound
This paper cites The signature of a rough path: Uniqueness.
Thin homotopy and the signature of piecewise linear surfaces The signature of a rough path: Uniqueness
Reference 5
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1d2fefd8-8818-414f-ba0a-13387c136b65 · outbound
This paper cites an unresolved cited work.
Thin homotopy and the signature of piecewise linear surfaces Unresolved cited work
Reference 6
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Source-reported events for the cited work
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Observation 7f131336-bd7a-453a-a09b-50440d6635bb · outbound
This paper cites an unresolved cited work.
Thin homotopy and the signature of piecewise linear surfaces Unresolved cited work
Reference 7
- Resolution
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Source-reported events for the cited work
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Observation 23f3fbb8-39f9-43b0-9036-b4ef7e6cb738 · outbound
This paper cites Brown, P .J.
Thin homotopy and the signature of piecewise linear surfaces Brown, P .J
Reference 8
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Source-reported events for the cited work
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Observation f5e0d642-7471-4692-b517-6eb922e3e183 · outbound
This paper cites On the Second Relative Homotopy Group of an Adjunction Space: An Exposition of a Theorem of J.
Thin homotopy and the signature of piecewise linear surfaces On the Second Relative Homotopy Group of an Adjunction Space: An Exposition of a Theorem of J
Reference 9
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Source-reported events for the cited work
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Observation cdd36a44-d4c1-442e-af96-01185ed8d577 · outbound
This paper cites Identities among relations.
Thin homotopy and the signature of piecewise linear surfaces Identities among relations
Reference 10
- Resolution
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Source-reported events for the cited work
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Observation 6b2c4be2-16cf-4758-b85b-e57e196e38fe · outbound
This paper cites Caetano and R.
Thin homotopy and the signature of piecewise linear surfaces Caetano and R
Reference 11
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bca0f96d-901c-4c1b-ac1a-9db8608d4e61 · outbound
This paper cites an unresolved cited work.
Thin homotopy and the signature of piecewise linear surfaces Unresolved cited work
Reference 12
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Source-reported events for the cited work
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Observation ef42b04e-d42a-4d55-ad4c-670f8c7f89dd · outbound
This paper cites an unresolved cited work.
Thin homotopy and the signature of piecewise linear surfaces Unresolved cited work
Reference 13
- Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2d4c053a-f361-4a3b-976b-c5dee86e1c6f · outbound
This paper cites Jacobiennes généralisées, monodromie unipotente et intégrales itérées.
Thin homotopy and the signature of piecewise linear surfaces Jacobiennes généralisées, monodromie unipotente et intégrales itérées
Reference 14
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 56e506b9-ea3a-4e81-902c-2c9c97c1bfb2 · outbound
This paper cites Fonctions polylogarithmes, nombres polyzêtas et groupes pro-unipotents.
Thin homotopy and the signature of piecewise linear surfaces Fonctions polylogarithmes, nombres polyzêtas et groupes pro-unipotents
Reference 15
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Observation c8458e3b-1854-4ff4-9582-9294a0e69265 · outbound
This paper cites Iterated Integrals and Exponential Homomorphisms†.
Thin homotopy and the signature of piecewise linear surfaces Iterated Integrals and Exponential Homomorphisms†
Reference 16
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c9902155-6483-4e4a-986a-3006e80ccf8b · outbound
This paper cites Integration of paths – a faithful representation of paths by noncommutative formal power series.
Thin homotopy and the signature of piecewise linear surfaces Integration of paths – a faithful representation of paths by noncommutative formal power series
Reference 17
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bdf3cc05-08d4-4d8e-8513-9805a0b46215 · outbound
This paper cites A multiplicative surface signature through its Magnus expansion.
Thin homotopy and the signature of piecewise linear surfaces A multiplicative surface signature through its Magnus expansion
Reference 18
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54848861-00ef-483e-9051-7b4adccdc88c · outbound
This paper cites Characteristic functions of measures on geometric rough paths.
Thin homotopy and the signature of piecewise linear surfaces Characteristic functions of measures on geometric rough paths
Reference 19
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 474f3040-bfc7-41b4-88ad-42b97a97a15a · outbound
This paper cites Signature Moments to Characterize Laws of Stochastic Processes.
Thin homotopy and the signature of piecewise linear surfaces Signature Moments to Characterize Laws of Stochastic Processes
Reference 20
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6659745b-9078-465c-88e0-135b3532c097 · outbound
This paper cites Über Systeme von liearren partiellen Differentialgleichungen erster Ordnung.
Thin homotopy and the signature of piecewise linear surfaces Über Systeme von liearren partiellen Differentialgleichungen erster Ordnung
Reference 21
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 78f621b7-e66d-4209-b3c3-8b7bbb8be506 · outbound
This paper cites Categorifying the Knizhnik–Zamolodchikov connection.
Thin homotopy and the signature of piecewise linear surfaces Categorifying the Knizhnik–Zamolodchikov connection
Reference 22
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6bd97794-6be9-4836-9697-c6430f85549b · outbound
This paper cites an unresolved cited work.
Thin homotopy and the signature of piecewise linear surfaces Unresolved cited work
Reference 23
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a3aae368-c7ef-47d8-a1df-14ca4ca69ac1 · outbound
This paper cites On the signature of an image.
Thin homotopy and the signature of piecewise linear surfaces On the signature of an image
Reference 24
- Resolution
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Source-reported events for the cited work
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Observation 91e1dafb-3d30-4684-b830-8c7c092f6d81 · outbound
This paper cites Two-parameter sums signatures and corresponding quasisymmetric functions.
Thin homotopy and the signature of piecewise linear surfaces Two-parameter sums signatures and corresponding quasisymmetric functions
Reference 25
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56b42fdb-429f-45ca-a802-373bf8ff5a9f · outbound
This paper cites Friz and Martin Hairer.
Thin homotopy and the signature of piecewise linear surfaces Friz and Martin Hairer
Reference 26
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c6eb1eb7-4a64-451f-9b59-059380270d6c · outbound
This paper cites Friz and Nicolas B.
Thin homotopy and the signature of piecewise linear surfaces Friz and Nicolas B
Reference 27
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ffc2056-671c-4040-80a3-e30cbfe77233 · outbound
This paper cites Young Tableaux: With Applications to Representation Theory and Geometry.
Thin homotopy and the signature of piecewise linear surfaces Young Tableaux: With Applications to Representation Theory and Geometry
Reference 28
- Resolution
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Source-reported events for the cited work
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Observation 716ab53d-14d5-4130-aa5e-ed673af7b30a · outbound
This paper cites A topological approach to mapping space signatures.
Thin homotopy and the signature of piecewise linear surfaces A topological approach to mapping space signatures
Reference 29
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0417e877-9bfb-423a-b68f-9cb0c3638e19 · outbound
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Thin homotopy and the signature of piecewise linear surfaces Unresolved cited work
Reference 30
- Resolution
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Source-reported events for the cited work
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Observation 7a5785a2-7860-464f-82ff-0bba78d4bb4d · outbound
This paper cites Iterated Integrals and Homotopy Periods.
Thin homotopy and the signature of piecewise linear surfaces Iterated Integrals and Homotopy Periods
Reference 31
- Resolution
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Source-reported events for the cited work
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Observation 053a2efb-0480-4d64-98b7-26253bec3203 · outbound
This paper cites Uniqueness for the signature of a path of bounded variation and the reduced path group.
Thin homotopy and the signature of piecewise linear surfaces Uniqueness for the signature of a path of bounded variation and the reduced path group
Reference 32
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 61644981-904f-4882-98e1-179eb7818297 · outbound
This paper cites Fundamentalgruppe und zweite Bettische Gruppe.
Thin homotopy and the signature of piecewise linear surfaces Fundamentalgruppe und zweite Bettische Gruppe
Reference 33
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Source-reported events for the cited work
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Observation 23000bda-92ab-4ae4-a101-62bfa8dcfc08 · outbound
This paper cites Membranes and higher groupoids.
Thin homotopy and the signature of piecewise linear surfaces Membranes and higher groupoids
Reference 34
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e3f53ed9-f3c9-4e7e-9e0b-09fd6dd42d4c · outbound
This paper cites Signatory: Differentiable computations of the signature and logsignature trans- forms, on both {CPU} and {GPU}.
Thin homotopy and the signature of piecewise linear surfaces Signatory: Differentiable computations of the signature and logsignature trans- forms, on both {CPU} and {GPU}
Reference 35
- Resolution
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Source-reported events for the cited work
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Observation 7955269d-e98a-478e-b4be-65e5bac1cdb2 · outbound
This paper cites Formal connections, higher holonomy functors and iterated integrals.
Thin homotopy and the signature of piecewise linear surfaces Formal connections, higher holonomy functors and iterated integrals
Reference 36
- Resolution
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Source-reported events for the cited work
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Observation 63c9f62e-f6da-450f-8287-bd4ddb596f64 · outbound
This paper cites Diagram Complexes, Formality, and Configuration Space Integrals for Spaces of Braids.
Thin homotopy and the signature of piecewise linear surfaces Diagram Complexes, Formality, and Configuration Space Integrals for Spaces of Braids
Reference 37
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation adeb145e-259f-49ab-a85a-920d17d9e4bc · outbound
This paper cites The Surface Signature and Rough Surfaces.
Thin homotopy and the signature of piecewise linear surfaces The Surface Signature and Rough Surfaces
Reference 38
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fbb1e1ca-1c88-4454-b7d1-95581240d215 · outbound
This paper cites Random Surfaces and Higher Algebra.
Thin homotopy and the signature of piecewise linear surfaces Random Surfaces and Higher Algebra
Reference 39
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d63899f5-126a-4c7b-bbe3-5634b0c519a6 · outbound
This paper cites The Signature Kernel, May 2023.
Thin homotopy and the signature of piecewise linear surfaces The Signature Kernel, May 2023
Reference 40
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 090f6def-32b1-4d03-b878-8abb78e1f027 · outbound
This paper cites Differential equations driven by rough signals.
Thin homotopy and the signature of piecewise linear surfaces Differential equations driven by rough signals
Reference 41
- Resolution
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Source-reported events for the cited work
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Observation e6460b8a-4fb2-4d79-8139-494bf4d6396a · outbound
This paper cites Differential Equations Driven by Rough Paths.
Thin homotopy and the signature of piecewise linear surfaces Differential Equations Driven by Rough Paths
Reference 42
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7a5da508-99cd-4c25-8b4e-3862875fab12 · outbound
This paper cites On two-dimensional holonomy.
Thin homotopy and the signature of piecewise linear surfaces On two-dimensional holonomy
Reference 43
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3dbe3d4d-82ee-47fb-861d-bbd9ca48ee11 · outbound
This paper cites Surface holonomy for non-abelian 2-bundles via double groupoids.
Thin homotopy and the signature of piecewise linear surfaces Surface holonomy for non-abelian 2-bundles via double groupoids
Reference 44
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 07290207-dd42-4e83-a2ec-de4df1e2cc70 · outbound
This paper cites Signature methods in machine learning.
Thin homotopy and the signature of piecewise linear surfaces Signature methods in machine learning
Reference 45
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2601be43-140e-428a-baf7-6799af4a650e · outbound
This paper cites Thin homotopy and the holonomy approach to gauge theories.
Thin homotopy and the signature of piecewise linear surfaces Thin homotopy and the holonomy approach to gauge theories
Reference 46
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e343e5e6-902a-4833-9724-697a86592506 · outbound
This paper cites Dimensions and characters of the derived series of the free Lie algebra.
Thin homotopy and the signature of piecewise linear surfaces Dimensions and characters of the derived series of the free Lie algebra
Reference 47
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8121036a-5907-4541-b3b0-717b770d7e44 · outbound
This paper cites Lie Groups: An Introduction through Linear Groups.
Thin homotopy and the signature of piecewise linear surfaces Lie Groups: An Introduction through Linear Groups
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T19:32:17.984768Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c26e9fda-8e21-401e-a32f-15d9f3ffaf4f · outbound
This paper cites Towards an M5-Brane Model II: Metric String Structures.
Thin homotopy and the signature of piecewise linear surfaces Towards an M5-Brane Model II: Metric String Structures
Reference 49
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f3723166-275b-45bf-a7b7-0a0df5713482 · outbound
This paper cites Smooth functors vs.
Thin homotopy and the signature of piecewise linear surfaces Smooth functors vs
Reference 50
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 89c9235d-8237-40c9-b68f-81b9728a6a03 · outbound
This paper cites Lie Algebras and Lie Groups: 1964 Lectures given at Harvard University.
Thin homotopy and the signature of piecewise linear surfaces Lie Algebras and Lie Groups: 1964 Lectures given at Harvard University
Reference 51
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bfa3d45d-de0b-4251-949d-16ccadd0f6af · outbound
This paper cites On the holonomic equivalence of two curves.
Thin homotopy and the signature of piecewise linear surfaces On the holonomic equivalence of two curves
Reference 52
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T19:32:17.939192Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b8fbc8b0-e93b-406d-979f-d1b7fea9e65a · outbound
This paper cites Seq2Tens: An Efficient Representation of Sequences by Low-Rank Tensor Projections.
Thin homotopy and the signature of piecewise linear surfaces Seq2Tens: An Efficient Representation of Sequences by Low-Rank Tensor Projections
Reference 53
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f28e0f07-a8c6-4695-a850-5ba6e2b20f23 · outbound
This paper cites On a non-Abelian Poincaré lemma.
Thin homotopy and the signature of piecewise linear surfaces On a non-Abelian Poincaré lemma
Reference 54
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Thin homotopy and the signature of piecewise linear surfaces Unresolved cited work
Reference 55
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Observation eab035e9-110a-4ba7-9aa9-4a60f14140e3 · inbound
Symmetries and Higher-Form Connections in Derived Differential Geometry cites this paper.
Symmetries and Higher-Form Connections in Derived Differential Geometry Thin homotopy and the signature of piecewise linear surfaces
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