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Paper Citation Record · LEDGER

Permutation Invariant Representations with Applications to Graph Deep Learning

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2203.07546.

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

pith.paper-citation-record.v1
2203.07546 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:45:11.625997Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T20:10:34.802852Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 73976933-33dd-45f2-a10a-3fed2bcb6f39 · inbound

MOLPIPx: an end-to-end differentiable package for permutationally invariant polynomials in Python and Rust cites this paper.

MOLPIPx: an end-to-end differentiable package for permutationally invariant polynomials in Python and Rust Permutation Invariant Representations with Applications to Graph Deep Learning

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-12T12:45:11.625997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:45:11.625997Z digest=sha256:d9ca4b2c81b11296d0ecb84ee67013360d08c364f53dfb4f6988189537a8d583

Observation e223df05-a95e-4a66-b9eb-224ca0c37050 · inbound

The Spectral Barycentre of a Set of Graphs with Community Structure cites this paper.

The Spectral Barycentre of a Set of Graphs with Community Structure Permutation Invariant Representations with Applications to Graph Deep Learning

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-10T14:28:59.340659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:28:59.340659Z digest=sha256:1ff17b626f84dc36ab5f53f2bae0dd78358dc0b0f9c25d487a0ec272d8503074

Observation f3c956c2-2183-4055-a4f5-88457629258e · inbound

On the (Non) Injectivity of Piecewise Linear Janossy Pooling cites this paper.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Permutation Invariant Representations with Applications to Graph Deep Learning

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T14:11:34.233374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T14:11:34.233374Z digest=sha256:ad46ced40c83164fbd4d8ccb2df8296e5ca21dec06abf47fe0cb1a06688810a8

Observation 938c2b23-3990-4fc3-917b-273402a0f766 · inbound

Estimating the Euclidean distortion of an orbit space cites this paper.

Estimating the Euclidean distortion of an orbit space Permutation Invariant Representations with Applications to Graph Deep Learning

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T10:54:14.205336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:54:14.205336Z digest=sha256:0a11a58be8c59911f5b4d5e48fe6df8603cfac4fe27f3c23004e9723ef31da1d

Observation 90c77c33-ff00-453a-9dff-6476faa79da5 · inbound

Monotone and Separable Set Functions: Characterizations and Neural Models cites this paper.

Monotone and Separable Set Functions: Characterizations and Neural Models Permutation Invariant Representations with Applications to Graph Deep Learning

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-05-21T20:10:34.805652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-21T20:06:51.934942Z digest=sha256:11b044da550a2a7acc3455d5d15018f7e76aa64e592b37ea3f730dc83e8468ca

Observation 2de6eda5-d1b8-469f-8f59-1577090c007d · inbound

Monotone and Separable Set Functions: Characterizations and Neural Models cites this paper.

Monotone and Separable Set Functions: Characterizations and Neural Models Permutation Invariant Representations with Applications to Graph Deep Learning

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-04T08:28:39.747389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T08:28:39.747389Z digest=sha256:0ca7c0dd5919e4ea3243810d6e209a6bc524cbe64676b269833699d97895b1bf

Observation b9710340-add3-4677-ba2e-aebe7fd97c72 · inbound

Optimal Transport-based Permutation-Invariant Bayesian Optimization of Offshore Wind Farm Layouts cites this paper.

Optimal Transport-based Permutation-Invariant Bayesian Optimization of Offshore Wind Farm Layouts Permutation Invariant Representations with Applications to Graph Deep Learning

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-13T17:28:26.015103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T17:28:26.015103Z digest=sha256:4fb27e77be72fe2734eda730c16405797ba996e6dad132a18a8e7fa0a3c3c24e