Paper Citation Record · LEDGER

A Hybrid Framework for Healing Semigroups with Machine Learning

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2509.01763.

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

pith.paper-citation-record.v1
2509.01763 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:18:00.686645Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

16 of 16 outbound references displayed

verified exact5
verified fuzzy9
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 164157aa-2f34-49dd-bf54-1496bc982eea · outbound

This paper cites an unresolved cited work.

A Hybrid Framework for Healing Semigroups with Machine Learning Unresolved cited work

Reference 1

Resolution: verified exact; raw_fallback, observed 2026-08-05T12:18:01.634809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 28d3f911-274c-4440-b303-fd24deaaf87f · outbound

This paper cites Exploring roughness in left almost semigroups and its connections to fuzzy lie algebras.

A Hybrid Framework for Healing Semigroups with Machine Learning Exploring roughness in left almost semigroups and its connections to fuzzy lie algebras

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:18:03.180976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8acbaeb9-5ede-4b2f-b0bf-92b895e25359 · outbound

This paper cites A Neural Network for Semigroups.

A Hybrid Framework for Healing Semigroups with Machine Learning A Neural Network for Semigroups

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:18:01.344365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 68add44e-b532-4e29-bb2a-90d54bd672ed · outbound

This paper cites Random forests.

A Hybrid Framework for Healing Semigroups with Machine Learning Random forests

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:18:02.952350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1772065d-4465-466d-b60a-02d223595609 · outbound

This paper cites DUE: A Deep Learning Framework and Library for Modeling Unknown Equations.

A Hybrid Framework for Healing Semigroups with Machine Learning DUE: A Deep Learning Framework and Library for Modeling Unknown Equations

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:18:01.152099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3e33b5a4-205a-40c8-8d2d-1ed92a789e1d · outbound

This paper cites Semigroup kernels on measures.

A Hybrid Framework for Healing Semigroups with Machine Learning Semigroup kernels on measures

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:18:02.767215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3cfec1b8-de21-47ba-8abb-d3d1a38cf43a · outbound

This paper cites The semigroups of order 10.

A Hybrid Framework for Healing Semigroups with Machine Learning The semigroups of order 10

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:18:02.619383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5be04584-f5f5-4580-a24e-87d7a17d5fb8 · outbound

This paper cites Semi-groups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations.

A Hybrid Framework for Healing Semigroups with Machine Learning Semi-groups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:18:00.993285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bbe0813b-8bd6-4ffc-b576-75bd604855cc · outbound

This paper cites Prediction error certification for PINNs: Theory, computation, and application to Stokes flow.

A Hybrid Framework for Healing Semigroups with Machine Learning Prediction error certification for PINNs: Theory, computation, and application to Stokes flow

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T12:18:00.221863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0236781-430c-4169-aa28-dcf35a383e08 · outbound

This paper cites Efficiently learning and sampling multimodal distributions with data-based initialization.

A Hybrid Framework for Healing Semigroups with Machine Learning Efficiently learning and sampling multimodal distributions with data-based initialization

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T12:18:00.281869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8e00699-6ad4-474d-8f14-0f6d488a1dd7 · outbound

This paper cites Kostic, Karim Lounici, H´ el` ene Halconruy, Timoth´ ee Devergne, Pietro Novelli, and Massimiliano Pontil.

A Hybrid Framework for Healing Semigroups with Machine Learning Kostic, Karim Lounici, H´ el` ene Halconruy, Timoth´ ee Devergne, Pietro Novelli, and Massimiliano Pontil

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:18:02.440784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 551a79f4-f1f2-4729-bf1f-995e00936d3b · outbound

This paper cites A semigroup method for high dimensional committor functions based on neural net- work.

A Hybrid Framework for Healing Semigroups with Machine Learning A semigroup method for high dimensional committor functions based on neural net- work

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:18:02.280955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7d91fe98-89d5-446e-b917-eee2f637e692 · outbound

This paper cites Mace4 reference manual.

A Hybrid Framework for Healing Semigroups with Machine Learning Mace4 reference manual

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:18:02.110585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 94c429ab-6e9b-4065-9cf0-f0335e6280bf · outbound

This paper cites Random forest tutorial.

A Hybrid Framework for Healing Semigroups with Machine Learning Random forest tutorial

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:18:01.960336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 73b1acc5-f06a-43f0-98c2-4c84da3e9a47 · outbound

This paper cites Is deep learning a useful tool for the pure mathematician?.

A Hybrid Framework for Healing Semigroups with Machine Learning Is deep learning a useful tool for the pure mathematician?

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:18:00.838521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1130b864-8f36-4203-bdc0-e2e279477e68 · outbound

This paper cites Understanding oversmoothing in diffusion-based gnns from the perspective of operator semigroup theory.

A Hybrid Framework for Healing Semigroups with Machine Learning Understanding oversmoothing in diffusion-based gnns from the perspective of operator semigroup theory

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:18:01.814732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.