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Paper Citation Record · LEDGER

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices

As of 19 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2501.07429.

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

pith.paper-citation-record.v1
2501.07429 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:47:25.735904Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

15 of 15 outbound references displayed

  • verified exact3
  • verified fuzzy3
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0c0c6c9e-4aff-46f3-9001-3c8c6ddc2a69 · outbound

This paper cites Kittipat Kampa, Erion Hasanbelliu, and Jos´ e Carlos Pr ´ ıncipe.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices Kittipat Kampa, Erion Hasanbelliu, and Jos´ e Carlos Pr ´ ıncipe

Reference 10

Resolution
metadata mismatch
raw_fallback, observed 2026-08-10T20:47:26.307816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T20:47:25.679408Z digest=sha256:46deb26a2bb0d93b536c74e55d054ab034a9af6996b3a05808296315d9a5490f

Observation 04bbe5d4-833f-4472-8278-7cf6ec61a166 · outbound

This paper cites Sivalingam, D.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices Sivalingam, D

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:47:26.425393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T20:47:25.712490Z digest=sha256:ded0f48b519e8800e6e99e21ffdf0a3bee8988945c8600878958450a1291b501

Observation 68742982-0074-48c1-a377-1778e7b86b59 · outbound

This paper cites URL https://doi.org/10.1007/s11263-009-0220-6.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices URL https://doi.org/10.1007/s11263-009-0220-6

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-10T20:47:25.735904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:47:25.735904Z digest=sha256:6dfa5187fa4445a163dde947f711909d55e8ec33f0a1fbb99c6137c2b05e607a

Observation 9a3c73fd-4a3e-42d3-9cf0-18f012f92c0c · outbound

This paper cites Huan Wan, Hui Wang, Bryan Scotney, and Jun Liu.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices Huan Wan, Hui Wang, Bryan Scotney, and Jun Liu

Reference 52

Resolution
verified exact
doi, observed 2026-08-10T20:47:25.832050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T20:47:25.725184Z digest=sha256:02bf357348a445e1ac0d9eb27992e4ad0c7d68481e922c1518e6704be80c6609

Observation 64ecbee0-18a8-42bb-b313-dc6180d9b8d2 · outbound

This paper cites doi: 10.1016/0047-259X(90)90026-E.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices doi: 10.1016/0047-259X(90)90026-E

Reference 1990

Resolution
unresolved
no resolver link, observed 2026-08-10T20:47:25.637729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:47:25.637729Z digest=sha256:279807d501e4264643f633cda82e4f8655dfab3b9105740586a8a6991de9fb62

Observation 7fe72cdf-e9a7-40f3-be38-b8502e068187 · outbound

This paper cites Hershey and Peder A.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices Hershey and Peder A

Reference 1996

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:47:26.438838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T20:47:25.663835Z digest=sha256:0a6c4760ef192f04aceaf21899b4726b3a80a77eb4d791b39c121161e336dfbc

Observation 5ac17d1d-7f22-4d50-a8ca-c0a5449f0f99 · outbound

This paper cites doi: https://doi.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices doi: https://doi

Reference 2002

Resolution
unresolved
no resolver link, observed 2026-08-10T20:47:25.689486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:47:25.689486Z digest=sha256:adc800bbc760e43afa6cb82348178f0897a3330d4ea34cf231d6c4ac96ded434

Observation 66097bbf-9b59-4802-8259-6c4af279880d · outbound

This paper cites End-to-End Entity Classification on Multimodal Knowledge Graphs.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices End-to-End Entity Classification on Multimodal Knowledge Graphs

Reference 2003

Resolution
unresolved
no resolver link, observed 2026-08-10T20:47:25.657345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:47:25.657345Z digest=sha256:5c86c2433da2ceed292131fc6719b66912126d8bfb038f9ca1e82036820c10e3

Observation a9e7055c-ba09-4b4b-8f1c-6c75aa8b65fc · outbound

This paper cites Available online: Accessed 2025-01-07.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices Available online: Accessed 2025-01-07

Reference 2004

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:47:26.452207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T20:47:25.643278Z digest=sha256:4e4e1e4e1e73eecb69e6fff89fdf017d859c948d7b2362640409710af62e395f

Observation fd13632f-8440-42e6-ab01-2d67d951d12a · outbound

This paper cites Peihua Li, Qilong Wang, and Lei Zhang.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices Peihua Li, Qilong Wang, and Lei Zhang

Reference 2005

Resolution
unresolved
no resolver link, observed 2026-08-10T20:47:25.685244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:47:25.685244Z digest=sha256:c64fad1b39aea1b9a813fe0cf1ee6c715eb9e7e1da9106c216ae2950344ad32d

Observation 6d824c13-0951-40d5-a7b7-0a06cc5ee4bb · outbound

This paper cites an unresolved cited work.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices Unresolved cited work

Reference 2010

Resolution
verified exact
doi, observed 2026-08-10T20:47:25.874753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T20:47:25.719217Z digest=sha256:308772fe866f716fa03f011c47ac7aebf127daf10865fd38f1fe85493498cf3e

Observation f1394e8b-37aa-4a79-8c03-da3469bac742 · outbound

This paper cites an unresolved cited work.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices Unresolved cited work

Reference 2011

Resolution
unresolved
no resolver link, observed 2026-08-10T20:47:25.650830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:47:25.650830Z digest=sha256:6764c9236d99850d3c6aaa25e6ead1b5283312966ebf1f974996083a53c783e8

Observation 213c190d-a0e5-426f-89aa-c5e9a4880e91 · outbound

This paper cites an unresolved cited work.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices Unresolved cited work

Reference 2019

Resolution
metadata mismatch
raw_fallback, observed 2026-08-10T20:47:26.193842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T20:47:25.729787Z digest=sha256:d6eb00d24efd1e0d1c796a2b6a24aa5865897c4751c0bc67284b833576c4c3ac

Observation 1cdcf57d-ff25-4249-bf19-8f530ac1110c · outbound

This paper cites Branislav Popovi´ c, Marko Janev, Lidija Krstanovi´ c, Nikola Simi´ c, and Vlado Deli´ c.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices Branislav Popovi´ c, Marko Janev, Lidija Krstanovi´ c, Nikola Simi´ c, and Vlado Deli´ c

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-10T20:47:25.695129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:47:25.695129Z digest=sha256:d986f320dd27b021cac01a77e407efa1a5c23f76318033fbe32adf03771088db

Observation 0e44cab6-3a7a-49a4-ba26-03428ba36ffa · outbound

This paper cites S Rakesh, Nagaratna P Hegde, M Venu Gopalachari, D Jayaram, Bhukya Madhu, Mohd Ab- dul Hameed, Ramdas Vankdothu, and LK Suresh Kumar.

Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices S Rakesh, Nagaratna P Hegde, M Venu Gopalachari, D Jayaram, Bhukya Madhu, Mohd Ab- dul Hameed, Ramdas Vankdothu, and LK Suresh Kumar

Reference 2023

Resolution
verified exact
doi, observed 2026-08-10T20:47:25.918560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T20:47:25.702997Z digest=sha256:cbbe83d88e099536baa42ef36c92196adbb1e91f3e7f011d5db4cd4027a07475

Pith citing papers

No inbound Pith citation observations are available.