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Paper Citation Record · LEDGER

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

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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 2026-08-16T06:30:59.297886+00:00.

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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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.093424Z digest=sha256:a248d9e0687d42f87f4fdd7d8f635ee116f955b7918d4028d453b7927bd25911

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.096612Z digest=sha256:ec8b99931bfda1535d87a9556911468309b24adec7cc314e452f4887428fec56

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.102422Z digest=sha256:17ce3d98afe3250ad9a4c1b2b6042ae2b4689789fc7050ebc62321aaa4eee446

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.105725Z digest=sha256:65d8469d370bfe6d2b1bc9d444a4997ff9f4c34906a8428ae27b02337167decb

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.109020Z digest=sha256:bff727d55079ad4be5877b2112a0e17203f689408340a7615b42c9c4ed76db5c

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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.114398Z digest=sha256:c569c23342eddca8cc172bc5232e9415f62862607e2664be027272b9c9f28861

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.118403Z digest=sha256:6c70def59abc7183d27fc0db31cc79550d48c24846e3c65008858f92c69b4927

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.121877Z digest=sha256:62e90fc70de9f6ca6bfdd20e8d80a03c1b6aa95ece317817f1485c18316bdf59

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.124678Z digest=sha256:a84439fe236bbee980b05f90b3b63ea27ecd892eae2507cad11573a440335214

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.128411Z digest=sha256:7b4b49051ed61a9f9df5c739040c7f4d1b8d631f2dc264aff5ca8dca0de4c4e5

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.131661Z digest=sha256:f9ceeb0e927cdebd8dd7e528937a92a3b88493f57e7dce6cf4bd4c94bbea9fd4

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.134303Z digest=sha256:26a5aee60f722b79bf9520350911b6bdab09e09dcbe5a9127d0c23f1078bff5f

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.137439Z digest=sha256:2e0477c0d83bbd48289245b0ff58795e5f98507eac85ef84b345cc58f00ab1ae

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 2026-08-16T06:30:59.297886+00:00.

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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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.143433Z digest=sha256:5644a5e56637097fe4d36503da0a940bcefd3af87fad0d8439c6ff8485b3cf83

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 2026-08-16T06:30:59.297886+00:00.

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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 2026-08-16T06:30:59.297886+00:00.

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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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.151991Z digest=sha256:9bf15cf814c790c9756d22e7622ce6fb826306f8afd280774e64228f98e90285

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:13:00.155379Z digest=sha256:fb175c847da2f1d1d4e802d130a9a448ea3e0a51b81b27eb6cf894c56f8df49c

Pith citing papers

No inbound Pith citation observations are available.