Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T22:59:52.901275Z
Paper Citation Record · LEDGER
As of 17 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2505.05869.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T22:59:52.901275Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
50 of 50 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 7fc5765c-365f-4f0d-856f-e0fe5716df93 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 1
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.
Observation 61d235a4-5a60-49d7-a75e-b6a884cb91e6 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Bolton, T
Reference 2
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.
Observation 5fd3ce86-524d-4ad9-8fec-27f75f5eb8b5 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 3
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.
Observation 7adb1d5c-9ea8-4fde-8f3d-b8f1e76e2876 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 4
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.
Observation 41414072-5824-4d97-beb2-b1ef72856641 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks L., Proctor, J
Reference 5
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.
Observation 5420f59d-b983-44c9-acf8-ea5ad5c8f919 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks H., Brunton, S
Reference 6
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.
Observation 1d1ce6e4-2692-400d-9c6a-370a1cb0f2aa · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Earls, C
Reference 7
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.
Observation f57f00a1-b415-4034-8a50-c751fd51f102 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 8
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.
Observation 46b4ee3d-9866-493f-beff-0c84b9ddddb5 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Kang, S
Reference 9
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.
Observation f8a3c6d1-306a-45f5-ab64-742ec00907f9 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Zhang, D
Reference 10
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.
Observation 201e2b11-509d-4fc8-a92f-8236a96cf6a9 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Zhang, D
Reference 11
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.
Observation 6351876a-fc2d-4937-a7b0-9aec5e413a51 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Zhang, D
Reference 12
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.
Observation 0562bba5-c00d-4eb8-a468-0b2dcfa1d271 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Symbolic Physics Learner: Discovering governing equations via Monte Carlo tree search
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02386398-42a1-4466-bbf8-0fde367a3142 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Virgolin, M
Reference 14
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.
Observation 6d8138c4-c5a4-43b1-adf4-c04eab9437a1 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Chawla, S
Reference 15
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.
Observation 923d9a07-9758-44ae-ba2b-803d3a4905ad · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Attention is all you need
Reference 16
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.
Observation e62b8cad-9eb8-4c97-8b92-4c4f5e222a16 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Zhang, D
Reference 17
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.
Observation 5d276437-16a1-4af4-b874-be2d81c9b840 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks LLM-SR: Scientific Equation Discovery via Programming with Large Language Models
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4ee51e6c-e86d-4a44-8f3b-7c5a8e068876 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks ChatSR: Multimodal Large Language Models for Scientific Formula Discovery
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation adf68c7d-d4ab-40cc-be4e-d00cbd844bd2 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks PDEformer: Towards a Foundation Model for One-Dimensional Partial Differential Equations
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b944fc4-c2c4-42ff-b2e0-f92b3dbc7310 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Schaeffer, H
Reference 21
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.
Observation 067d049c-1cc7-4067-80b5-d11f2433426a · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Symbol: Generating Flexible Black-Box Optimizers through Symbolic Equation Learning
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d559cfa9-47b9-4c5e-be1a-d3f51536bc52 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 23
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.
Observation 0e8964a7-1570-4d73-9037-7a260354836b · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 24
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.
Observation 2b66527b-8ed4-4983-ad18-cdf8a33b0e9c · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks SymbolicGPT: A Generative Transformer Model for Symbolic Regression
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4ddeaf93-bd3a-4de3-84f8-13233c1118ba · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Nonlinear Partial Differential Equations for Scientists and Engineers
Reference 26
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.
Observation 064b3252-a1e1-437e-830c-0830209cc532 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dbabce15-4e84-4249-a435-876e01480102 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Zhang, D
Reference 28
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.
Observation b55864b3-15c2-41c6-9c11-ebd5b3ae0ba5 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Earls, C
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dbbb13f7-c7cf-4f81-afb3-819458f9c990 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Lin, G
Reference 30
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.
Observation 521ae20b-42bc-4e07-a38e-60cd95cf07ad · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 31
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.
Observation 0c55736b-2c76-4176-8034-3f61f550deb1 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks N., Brunton, B
Reference 32
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.
Observation 2c886fb7-9641-4c3a-b6f6-18290c895919 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Zhang, D
Reference 33
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.
Observation e5ad3f9d-7a9b-4bc0-a6f3-89488062f5cf · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Zhang, D
Reference 34
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.
Observation 049e9d18-98be-4366-bf29-5e2a30f3ceec · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 35
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.
Observation 2f315349-93f7-467a-b6c2-74419168a956 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradients
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e2594596-5689-432a-9e2c-76d4024985fe · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 37
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.
Observation 764fd622-9997-4f82-9c16-d4e3b28d6178 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks The Mathematica Book
Reference 38
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.
Observation 9be8fd47-8caa-4e2e-9c8a-308990e44e40 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 39
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.
Observation 239c25ad-c914-4578-bbb8-df85876f1a09 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 40
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.
Observation e9d214b4-39e4-44cf-9a78-66e214a97387 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 41
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.
Observation 0e60fb83-361c-438e-948c-bc06fca929ce · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks M., Fang, Y
Reference 42
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.
Observation 7ea765b2-979d-4e29-bc07-72fc8a008beb · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks H., Tang, T., Adcock, T
Reference 43
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.
Observation c8d4428a-0b91-446c-877e-cd2800ba1d96 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 44
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.
Observation 487111dd-688e-47b7-be7b-7d3652ae8e08 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Enbo, W
Reference 45
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.
Observation e4651c61-f86d-4022-a5d6-ef7d65567e68 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Distilling Wikipedia mathematical knowledge into neural network models
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1112fda1-55a2-4c4b-bd1c-4e2920b559c0 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Osindero, S
Reference 47
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.
Observation 7790ec49-1dfc-444e-a44f-bf8bcc813586 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Unresolved cited work
Reference 48
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.
Observation 73a5aea7-2652-40e6-a940-bec3cd1a7e56 · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks & Karniadakis, G
Reference 49
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.
Observation 67bd42b7-ee39-4044-8303-dd4eb359a84e · outbound
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks smiley face region
Reference 50
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.
No inbound Pith citation observations are available.