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Paper Citation Record · LEDGER

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem

As of 23 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.05796.

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

pith.paper-citation-record.v1
1908.05796 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:13:00.155379Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

  • verified exact2
  • verified fuzzy17
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2f16185d-5251-490f-a86e-41717a7e0b82 · outbound

This paper cites Alexandrino and Marco Radeschi.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Alexandrino and Marco Radeschi

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.382426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 14104fe1-35cd-4c16-ad36-3e2834a5e029 · outbound

This paper cites an unresolved cited work.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:13:00.373968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.086805Z digest=sha256:40143855cd829faaba4dc83e82211429114b7a993b469043b25b5d1e58bd363d

Observation 845dfa9a-5ffa-493d-b837-5ba245148aae · outbound

This paper cites Alexandrino and Dirk T\" o ben.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Alexandrino and Dirk T\" o ben

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.365273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.090410Z digest=sha256:ba4fa07ea56112e7d1781902bf9fcf3dd85f90b147f32d6163a9a1162d4509ff

Observation 7d2bdd56-bdd9-4136-9441-f9d06d60ec02 · outbound

This paper cites Gromov, and G.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Gromov, and G

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.356922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.093424Z digest=sha256:cb80b9aa2b46579791dfef4911816ea86deb959b473442981e963f25adb1081b

Observation 96aada00-ed84-45ad-9a31-60cd5db7a9e9 · outbound

This paper cites an unresolved cited work.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:13:00.348868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 828f4e8f-09a1-49e8-b42c-06828981bc7a · outbound

This paper cites Curvature measures.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Curvature measures

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T13:13:00.099475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:13:00.099475Z digest=sha256:b006275b8c021e03406973602b59bd0b89c987060f411db8ca77c021346fc6d1

Observation 406f96e7-e284-49bf-8e4f-28b2b1769d4a · outbound

This paper cites Positively curved cohomogeneity one manifolds and 3- S asakian geometry.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Positively curved cohomogeneity one manifolds and 3- S asakian geometry

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.335527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.102422Z digest=sha256:c939d0079438691b68978524a61f151cf15f92a67aab506f06cb2690e6e0f272

Observation 4ee1d731-1070-4dfb-9b35-b156eba4878f · outbound

This paper cites Heintze and J.-H.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Heintze and J.-H

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.327439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.105725Z digest=sha256:64a560f065d187fe7d90f27088a50ec4672db586ecb966e103c6d3f9aef997c8

Observation 152050b2-b5c6-47d1-9b59-6bbb547fc339 · outbound

This paper cites Orientation and symmetries of A lexandrov spaces with applications in positive curvature.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Orientation and symmetries of A lexandrov spaces with applications in positive curvature

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.319244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.109020Z digest=sha256:12984840259f1b6c36413afecc9c20fc9fcf4dbca008eb90ccd8bc40917abdd4

Observation 667503e6-42cc-4320-9c53-cfc26ed8071d · outbound

This paper cites Nonabelian harmonic analysis.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Nonabelian harmonic analysis

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.311639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation ea1b3e3c-fe18-40b7-8dc1-cbe6210a60f1 · outbound

This paper cites Orbifolds from a metric viewpoint.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Orbifolds from a metric viewpoint

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:13:00.193433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.114398Z digest=sha256:b154624d6e3122662185ab77c2fe28faba5100a299624e7805768e6f4b20f51b

Observation a373affd-5c59-489f-9366-8ebfa7ecedcb · outbound

This paper cites Algebraic nature of singular R iemannian foliations in spheres.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Algebraic nature of singular R iemannian foliations in spheres

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.303348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.118403Z digest=sha256:1144a453f4615d3e696e8cdc5ba264b25459892306d1cd15fbfbb55baaa81f06

Observation b3875105-1414-4626-9138-ea3719b6abe2 · outbound

This paper cites Curvature explosion in quotients and applications.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Curvature explosion in quotients and applications

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.294893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.121877Z digest=sha256:559381ea1ebf99d79ebcc3cfc76390416598f663cc8909e3055b0b6349e6042f

Observation 43f2c9dd-ea37-49d3-96bd-4cb1af49cb89 · outbound

This paper cites a t Bonn, Mathematisches Institut, Bonn, 2002. Dissertation, Rheinische Friedrich-Wilhelms-Universit\.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem a t Bonn, Mathematisches Institut, Bonn, 2002. Dissertation, Rheinische Friedrich-Wilhelms-Universit\

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.284653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.124678Z digest=sha256:a540191f5418f643c57693ede22d66279109c0136bff705ce3be663daaa1790a

Observation 5c35a2c6-5ddf-4b12-aed3-94155a69fcaa · outbound

This paper cites an unresolved cited work.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:13:00.275194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.128411Z digest=sha256:8dd485dd47e4a998503a774bbd5ddab662df1b4e094a51944d3d21e82f46576c

Observation ec65b80e-c363-4ffb-a2b7-cc74afab40da · outbound

This paper cites Notes on the J acobi equation.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Notes on the J acobi equation

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.265809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.131661Z digest=sha256:3e28baf9250993b18f568286c1d5a46e949e7e0a9770964426da9b2e8bc93f37

Observation 89c1656f-823e-4c09-abfa-02d1195542ff · outbound

This paper cites Geometric resolution of singular R iemannian foliations.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Geometric resolution of singular R iemannian foliations

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.256086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.134303Z digest=sha256:6d7f061ee3014f0f613ac49afe4782e6ceaf85b6ab1b56d591ece56d0e45da66

Observation 2fc98a06-bd27-433f-a04f-a1633cace769 · outbound

This paper cites Riemannian foliations , volume 73 of Progress in Mathematics.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Riemannian foliations , volume 73 of Progress in Mathematics

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.248077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.137439Z digest=sha256:a6c11061b11630a5e52bcc09e0eacbfe75eba0dd534bf3c32574c8c3012dc6a1

Observation 4d4eac7f-2045-4657-a56e-101103792f66 · outbound

This paper cites an unresolved cited work.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Unresolved cited work

Reference 19

Resolution
verified exact
doi, observed 2026-08-14T13:13:00.179646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.140569Z digest=sha256:8db50571753f763c25f304801b4a5e36d11f931d63caa725d73fa1c16e0f5008

Observation 04a60219-b41c-4983-8abf-cb6e62bc6bde · outbound

This paper cites an unresolved cited work.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:13:00.239242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.143433Z digest=sha256:c00758ec0e6a4333542e435b6170635290eb02a834758643c2fdf1cd3eb7a2f1

Observation 091ec9f5-182d-40c6-a833-22a92a9b77a2 · outbound

This paper cites a chen in S ph\.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem a chen in S ph\

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.229391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.146689Z digest=sha256:ba782b8f1c179786c34754ae0b654574c2ecfab05db83dc6c3d7f7db9199bb4f

Observation 470e8526-acd1-4766-9165-a70f28c7dbf1 · outbound

This paper cites Neusel and Larry Smith.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Neusel and Larry Smith

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.220944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.149345Z digest=sha256:de8974db29f55a3c3cfb97867d6a0ee82d9a3b270b630708bdd33dbdaad7b846

Observation c1600658-9227-4f80-abc9-51fc3aa4e5cb · outbound

This paper cites Radeschi.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem Radeschi

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.212341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.151991Z digest=sha256:ab87c96637080a34cffc5c6a68bdba27b0e95076fa409ef02b06d13e1c5dc8f9

Observation a7319ec2-4f09-4391-9c62-54c77d5782b6 · outbound

This paper cites A duality theorem for R iemannian foliations in nonnegative sectional curvature.

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem A duality theorem for R iemannian foliations in nonnegative sectional curvature

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:13:00.202797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.155379Z digest=sha256:efd39994a41dfa33ac62ca314abbeec2cb64f385319422aaefd3b59e3390a4e3

Pith citing papers

No inbound Pith citation observations are available.