Paper Citation Record · LEDGER

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling

As of 20 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 3 inbound Pith citation observations for arXiv:2509.14123.

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

pith.paper-citation-record.v1
2509.14123 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:56:30.004093Z

measured 35 of 35 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T10:55:56.415184Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T23:46:24.299804Z

Reference resolution

32 of 32 outbound references displayed

verified exact2
verified fuzzy16
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 71164a87-3811-46a4-9bea-5b4e711a42c5 · outbound

This paper cites Arnone, L.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Arnone, L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.321309Z

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.

Observation 8a05f0ce-a93e-4b63-8e84-d6ecb9990c21 · outbound

This paper cites Bilionis, N.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Bilionis, N

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.313808Z

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.

Observation 7c7f4adc-eaee-4c61-a213-7eeec02d51eb · outbound

This paper cites Minimal Variance Model Aggregation: A principled, non-intrusive, and versatile integration of black box models.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Minimal Variance Model Aggregation: A principled, non-intrusive, and versatile integration of black box models

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T15:56:29.919858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6649733-599c-4b1f-a415-1ec87cb1122d · outbound

This paper cites an unresolved cited work.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T15:56:29.923228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18900a65-92bc-4e69-ae16-4c6f74d0da6d · outbound

This paper cites an unresolved cited work.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:56:30.302300Z

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.

Observation cda9b8d9-e989-4ce9-9432-02abbe49cb62 · outbound

This paper cites an unresolved cited work.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:56:30.294670Z

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.

Observation 15fd8b1b-c15f-4cbb-b96a-48275d1d764a · outbound

This paper cites an unresolved cited work.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:56:30.287509Z

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.

Observation 55cce77c-54a4-425e-a1bf-5b6b66bc9d58 · outbound

This paper cites Graham, O.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Graham, O

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.280830Z

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.

Observation fb8503a7-dd27-43a7-8981-e588cc88c4b6 · outbound

This paper cites Gray and S.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Gray and S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.271428Z

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.

Observation d8f5fe52-5869-47b7-80a2-6dd8b40634e0 · outbound

This paper cites Hanin and D.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Hanin and D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.264121Z

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.

Observation c9881204-36f1-4690-8ea7-2489f2c5b258 · outbound

This paper cites Kovachki, Z.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Kovachki, Z

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.256841Z

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.

Observation f84f50af-ca65-419d-b977-9690bfb2e0a3 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Fourier Neural Operator for Parametric Partial Differential Equations

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T15:56:29.947126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b978077-b1f8-4dcb-8d74-cdd0c55cb336 · outbound

This paper cites an unresolved cited work.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:56:30.249235Z

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.

Observation 6cf4feb1-e80d-476d-8e39-fbfc4540f9f2 · outbound

This paper cites Nonlinear Equilibrium Transitions in a Potential Game Model for Federated Learning.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Nonlinear Equilibrium Transitions in a Potential Game Model for Federated Learning

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:56:30.106574Z

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.

Observation e4b1b856-6aeb-4d4b-a19d-c67a6f57d476 · outbound

This paper cites Liu and E.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Liu and E

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.241323Z

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.

Observation f03a7398-0290-49eb-af3c-32ebdb40060d · outbound

This paper cites an unresolved cited work.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:56:30.233692Z

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.

Observation fe865a8c-2da5-4325-9dd4-25a94ea8b679 · outbound

This paper cites Lucka, M.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Lucka, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.226076Z

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.

Observation 8c360943-9ee1-4b48-ae19-ebd5b999aa23 · outbound

This paper cites McMahan, E.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling McMahan, E

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.218405Z

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.

Observation 65473878-d8f8-418a-a1c4-f3b6705dfb41 · outbound

This paper cites an unresolved cited work.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:56:30.209961Z

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.

Observation 0f884790-1c5f-42fe-9af0-0d0a6254adff · outbound

This paper cites an unresolved cited work.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:56:30.201883Z

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.

Observation 527c9665-0b45-467e-8698-7397287304c2 · outbound

This paper cites Ohana, M.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Ohana, M

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.193420Z

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.

Observation 5d44538e-1205-4cad-860b-4d7052946f61 · outbound

This paper cites Quarteroni, P.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Quarteroni, P

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.184642Z

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.

Observation 0898513d-17e4-4135-be20-41c47cbc7a76 · outbound

This paper cites Raissi, P.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Raissi, P

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.175867Z

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.

Observation 894760f3-e867-42bd-844a-4f741d40a367 · outbound

This paper cites Ranieri, A.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Ranieri, A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.166867Z

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.

Observation af1c4913-812f-44b8-9cd9-54dd5c469687 · outbound

This paper cites Regazzoni, S.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Regazzoni, S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.158407Z

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.

Observation ddae5088-b55b-4e58-a60c-9243d96196db · outbound

This paper cites Rowbottom, S.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Rowbottom, S

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T15:56:29.987407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9c81580-b0b3-460e-8aa1-455e14b8940f · outbound

This paper cites Feasibility study on solving the Helmholtz equation in 3D with PINNs.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Feasibility study on solving the Helmholtz equation in 3D with PINNs

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:56:30.039230Z

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.

Observation ef7b6edc-c5f7-4d24-bc54-1838642a1672 · outbound

This paper cites an unresolved cited work.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:56:30.149848Z

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.

Observation b7b0f70f-37bb-49e1-bd40-88f799f42d97 · outbound

This paper cites Latent Neural Operator for Solving Forward and Inverse PDE Problems.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Latent Neural Operator for Solving Forward and Inverse PDE Problems

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T15:56:29.996109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47da821e-ca95-434d-a5c1-f3d6d4a1e809 · outbound

This paper cites an unresolved cited work.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T15:56:29.999167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 468080c0-fd18-49c2-937a-0aaba887cc1f · outbound

This paper cites Zhang and Y.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Zhang and Y

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.137661Z

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.

Observation b1916ff1-2cc4-4f40-b132-1d6ba3f077ba · outbound

This paper cites Zhang, M.

HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling Zhang, M

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:56:30.128784Z

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.

Pith citing papers

Observation a1409af0-a427-45b5-bad8-72860f33a39d · inbound

HYCO: A Formalism for Hybrid-Cooperative PDE Modelling cites this paper.

HYCO: A Formalism for Hybrid-Cooperative PDE Modelling HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-27T02:19:50.485261Z

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.

Observation 74802f16-4357-4e70-90f6-7ca0987a8e64 · inbound

The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence cites this paper.

The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling

Reference 9

Resolution: metadata mismatch; arxiv_id, observed 2026-07-27T02:19:50.485261Z

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.

Observation 7c7fa65e-a0db-4ad8-ad11-d33b6d9b093d · inbound

The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence cites this paper.

The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-27T02:19:50.485261Z

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.