{"as_of":"2026-08-09T22:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:98c637c8db4a23d96dcaa6ac9c021d412eaed349bb8b756b32d04c66f44c9755","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":21,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T21:55:52.464949Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":9,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-09T21:55:52.464949Z","title":"Poseidon: Efficient foundation models for pdes","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.18972","last_updated":"2025-04-30T03:02:41Z","snapshot_observed_at":"2026-08-09T21:45:07.311678Z","submitted_at":"2025-01-31T09:07:56Z","title":"BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T21:55:52.464949Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2501.18972"},"observation_digest":"sha256:5c67bc643a03c90d6f22bc6d8860be6478e8ce4de07d46100ea8c4b5b132ba3a","observation_id":"e9dd6e1b-efef-441f-b8d4-cb81142a488c","resolution":{"observed_at":"2026-08-09T21:55:52.464949Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":"2405.19101","doi":"10.48550/arxiv.2405.19101","metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Poseidon: Efficient foundation models for PDEs","venue":"arXiv (Cornell University)","work_id":"f9ea4049-33b0-421b-b513-7bf316a19c3c","year":2024},"citing_paper":{"arxiv_id":"2502.01476","last_updated":"2026-05-21T15:15:31Z","snapshot_observed_at":"2026-08-02T22:09:10.725557Z","submitted_at":"2025-02-03T16:06:56Z","title":"Neuro-Symbolic AI for Analytical Solutions of Differential Equations","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-23T03:33:09.370984Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2502.01476"},"observation_digest":"sha256:79fd606a34dc568577b295445671e6bbb80517977c387f6250ea716780273a13","observation_id":"836b86fb-2581-4ca8-8be4-26a0c2fa063d","resolution":{"observed_at":"2026-05-23T03:35:21.221718Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-08T19:48:11.369630Z","title":"Poseidon: Efficient foundation models for pdes","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.05335","last_updated":"2025-06-11T13:38:50Z","snapshot_observed_at":"2026-08-09T13:18:01.617334Z","submitted_at":"2025-02-07T21:16:43Z","title":"Towards Foundational Models for Dynamical System Reconstruction: Hierarchical Meta-Learning via Mixture of Experts","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-08T19:48:11.369630Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2502.05335"},"observation_digest":"sha256:3ae1b6953b9adea5a5f921c9eddc0041b94ab1b4821acee24d50face12584646","observation_id":"ecf6d2b7-ce09-4cf2-821d-8049f5a39c96","resolution":{"observed_at":"2026-08-08T19:48:11.369630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-08T17:02:12.747940Z","title":"Herde, B","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.06026","last_updated":"2025-02-09T20:50:28Z","snapshot_observed_at":"2026-08-09T17:48:01.008342Z","submitted_at":"2025-02-09T20:50:28Z","title":"A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-08T17:02:12.747940Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2502.06026"},"observation_digest":"sha256:05371b31655b773ff67ebe08110f1ef17594271cd075d2592789868d8da7ca0b","observation_id":"d717b93a-742d-41ec-9b16-60c28f7f962a","resolution":{"observed_at":"2026-08-08T17:02:12.747940Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-07T14:24:44.027049Z","title":"Poseidon: Efficient foundation models for pdes.arXiv preprint arXiv:2405.19101,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.19105","last_updated":"2025-05-28T07:11:21Z","snapshot_observed_at":"2026-08-09T02:45:28.130317Z","submitted_at":"2025-05-25T11:51:31Z","title":"Latent Mamba Operator for Partial Differential Equations","version":2},"reference_index":2016,"source":"pdf_text","source_observed_at":"2026-08-07T14:24:44.027049Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2505.19105"},"observation_digest":"sha256:14e27ff2a0ad068f4f36dc9f7e30e59ff2d448205d750f72d2a741c585ac180a","observation_id":"c969990c-7dda-42aa-95dd-e582e2614c20","resolution":{"observed_at":"2026-08-07T14:24:44.027049Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-07T12:36:57.885621Z","title":"Poseidon: Efficient foundation models for PDEs","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.24145","last_updated":"2025-05-30T02:37:05Z","snapshot_observed_at":"2026-08-09T09:59:27.387115Z","submitted_at":"2025-05-30T02:37:05Z","title":"Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T12:36:57.885621Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2505.24145"},"observation_digest":"sha256:0e72f20ef07738c582015286e11837fb3508bfe9539d7c26525e14fd5fbeaed5","observation_id":"e1783d56-600b-4c1b-b01e-3cd85d5695b6","resolution":{"observed_at":"2026-08-07T12:36:57.885621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":"2405.19101","doi":"10.48550/arxiv.2405.19101","metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Poseidon: Efficient foundation models for PDEs","venue":"arXiv (Cornell University)","work_id":"f9ea4049-33b0-421b-b513-7bf316a19c3c","year":2024},"citing_paper":{"arxiv_id":"2506.07969","last_updated":"2026-04-19T19:45:38Z","snapshot_observed_at":"2026-07-06T21:39:13.304260Z","submitted_at":"2025-06-09T17:44:20Z","title":"A Two-Phase Deep Learning Framework for Adaptive Time-Stepping in High-Speed Flow Modeling","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-05-19T10:17:34.190090Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2506.07969"},"observation_digest":"sha256:3287a4e38b677a458ce5331b10738e2f04d0b7a16f4007425d7f6b46bfdf7775","observation_id":"8850a0d6-b88f-4c5d-b7f8-c7a08a45cc3a","resolution":{"observed_at":"2026-05-19T10:22:14.677365Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-07T05:23:48.368039Z","title":"Herde, B","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.08226","last_updated":"2025-06-09T20:52:04Z","snapshot_observed_at":"2026-08-09T17:52:49.285575Z","submitted_at":"2025-06-09T20:52:04Z","title":"Mondrian: Transformer Operators via Domain Decomposition","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T05:23:48.368039Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2506.08226"},"observation_digest":"sha256:4e42d657e20ec4c0de682c55f485be2704769bff30234eb63012a4c5b2741dd7","observation_id":"ce8c540d-87d1-4eaf-9cbb-5e4a9cb97301","resolution":{"observed_at":"2026-08-07T05:23:48.368039Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-06T14:56:04.700717Z","title":"Poseidon: Efficient foundation models for PDEs.arXiv:2405.19101, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.17582","last_updated":"2026-05-29T05:03:29Z","snapshot_observed_at":"2026-08-09T20:38:32.084314Z","submitted_at":"2025-07-23T15:18:15Z","title":"Physics-informed, boundary-constrained Gaussian process regression for the reconstruction of fluid flow fields","version":4},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T14:56:04.700717Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2507.17582"},"observation_digest":"sha256:3fd677d3d3c79782ff8f8ec41f79e390b944f88a390b14fc2689a5e1ef197973","observation_id":"19a6076e-d49a-4609-a94a-f0dd6496d82f","resolution":{"observed_at":"2026-08-06T14:56:04.700717Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T05:33:52.866755Z","title":"Poseidon: Efficient foundation models for PDEs","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.05186","last_updated":"2025-09-08T17:28:39Z","snapshot_observed_at":"2026-08-09T20:57:11.514613Z","submitted_at":"2025-09-05T15:35:04Z","title":"Probabilistic operator learning: generative modeling and uncertainty quantification for foundation models of differential equations","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T05:33:52.866755Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2509.05186"},"observation_digest":"sha256:7a4821b5131c109368c39438459d441f3b5d36bcab8e0684fdea44872fb35001","observation_id":"748f3454-88e5-459b-a206-59382796e349","resolution":{"observed_at":"2026-08-05T05:33:52.866755Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":"2405.19101","doi":"10.48550/arxiv.2405.19101","metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Poseidon: Efficient foundation models for PDEs","venue":"arXiv (Cornell University)","work_id":"f9ea4049-33b0-421b-b513-7bf316a19c3c","year":2024},"citing_paper":{"arxiv_id":"2512.14397","last_updated":"2026-05-07T15:02:28Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-12-16T13:35:45Z","title":"SuperWing: a comprehensive transonic wing dataset for data-driven aerodynamic design","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-16T21:49:07.072104Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2512.14397"},"observation_digest":"sha256:36d714fb72a09c6533bbc40a8ee7638743e0485708354053cefa7a996b074996","observation_id":"96f98a0f-f136-483f-9737-89ef1e49ca25","resolution":{"observed_at":"2026-05-16T21:51:17.836974Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":"2405.19101","doi":"10.48550/arxiv.2405.19101","metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Poseidon: Efficient foundation models for PDEs","venue":"arXiv (Cornell University)","work_id":"f9ea4049-33b0-421b-b513-7bf316a19c3c","year":2024},"citing_paper":{"arxiv_id":"2601.10791","last_updated":"2026-05-04T15:47:57Z","snapshot_observed_at":"2026-07-06T22:41:53.823272Z","submitted_at":"2026-01-15T19:00:04Z","title":"OmniMol: Transferring Particle Physics Knowledge to Molecular Dynamics with Point-Edge Transformers","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-16T13:18:02.842399Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2601.10791"},"observation_digest":"sha256:360fc48f5568d4ce0d9e05a2a22bff59c259ddb2fcdd8c772b6a9ef5337e49d2","observation_id":"c7798586-fa34-4508-aa46-8aceeaa4ad44","resolution":{"observed_at":"2026-05-16T13:20:57.976674Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":"2405.19101","doi":"10.48550/arxiv.2405.19101","metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Poseidon: Efficient foundation models for PDEs","venue":"arXiv (Cornell University)","work_id":"f9ea4049-33b0-421b-b513-7bf316a19c3c","year":2024},"citing_paper":{"arxiv_id":"2604.05068","last_updated":"2026-04-06T18:14:53Z","snapshot_observed_at":"2026-07-06T22:53:55.926521Z","submitted_at":"2026-04-06T18:14:53Z","title":"Towards Scaling Law Analysis For Spatiotemporal Weather Data","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-10T18:58:05.921123Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2604.05068"},"observation_digest":"sha256:17bd17ac73ab9e9296c3dda9170a45f76a795677117ff14655f0dfc532b41238","observation_id":"d389f757-21d6-44f3-bd0f-38a68e41bef6","resolution":{"observed_at":"2026-05-10T23:40:50.790759Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":"2405.19101","doi":"10.48550/arxiv.2405.19101","metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Poseidon: Efficient foundation models for PDEs","venue":"arXiv (Cornell University)","work_id":"f9ea4049-33b0-421b-b513-7bf316a19c3c","year":2024},"citing_paper":{"arxiv_id":"2604.21101","last_updated":"2026-04-28T15:18:28Z","snapshot_observed_at":"2026-07-30T06:32:03.769662Z","submitted_at":"2026-04-22T21:39:54Z","title":"A Hybridizable Neural Time Integrator for Stable Autoregressive Forecasting","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T00:12:58.131638Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2604.21101"},"observation_digest":"sha256:0f4b6683258eff8a118febedc989b013ba24d11bc519c596f7f198cdf09a76b1","observation_id":"31b9db4e-88a1-43de-81e4-ccd2a640aca4","resolution":{"observed_at":"2026-05-10T00:14:46.504106Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":"2405.19101","doi":"10.48550/arxiv.2405.19101","metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Poseidon: Efficient foundation models for PDEs","venue":"arXiv (Cornell University)","work_id":"f9ea4049-33b0-421b-b513-7bf316a19c3c","year":2024},"citing_paper":{"arxiv_id":"2605.17968","last_updated":"2026-05-18T07:25:14Z","snapshot_observed_at":"2026-08-04T20:09:38.098970Z","submitted_at":"2026-05-18T07:25:14Z","title":"Function graph transformers universally approximate operators between function spaces","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-05-20T13:08:22.786638Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2605.17968"},"observation_digest":"sha256:b432755868303918d98eebf57c38ed4fdcef0a13882c8d4ba8eb98d0bfc08d41","observation_id":"161198cd-a4dc-48a5-8d70-c23090c3d628","resolution":{"observed_at":"2026-05-20T13:13:18.753462Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":"2405.19101","doi":"10.48550/arxiv.2405.19101","metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Poseidon: Efficient foundation models for PDEs","venue":"arXiv (Cornell University)","work_id":"f9ea4049-33b0-421b-b513-7bf316a19c3c","year":2024},"citing_paper":{"arxiv_id":"2605.22222","last_updated":"2026-05-25T07:06:51Z","snapshot_observed_at":"2026-07-06T23:32:35.159280Z","submitted_at":"2026-05-21T09:26:16Z","title":"ARC-STAR: Auditable Post-Hoc Correction for PDE Foundation Models","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-22T07:14:29.287915Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2605.22222"},"observation_digest":"sha256:1e374ad4ec4309525419a8f38a14b60e070e5165a68b9ca93558c5831a59d22c","observation_id":"939c279d-93f4-412f-bd16-2f3299723326","resolution":{"observed_at":"2026-05-22T07:14:42.350324Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":"2405.19101","doi":"10.48550/arxiv.2405.19101","metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Poseidon: Efficient foundation models for PDEs","venue":"arXiv (Cornell University)","work_id":"f9ea4049-33b0-421b-b513-7bf316a19c3c","year":2024},"citing_paper":{"arxiv_id":"2605.22222","last_updated":"2026-05-25T07:06:51Z","snapshot_observed_at":"2026-07-06T23:32:35.159280Z","submitted_at":"2026-05-21T09:26:16Z","title":"ARC-STAR: Auditable Post-Hoc Correction for PDE Foundation Models","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-25T05:45:30.202126Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2605.22222"},"observation_digest":"sha256:19d2efaf76aa14207782f7a11df2d7c05345c8aba239b8d54c0c8aea867f343d","observation_id":"d39cd300-d69f-4824-a68e-5b8c4fec0d8e","resolution":{"observed_at":"2026-05-25T05:46:39.682410Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":"2405.19101","doi":"10.48550/arxiv.2405.19101","metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Poseidon: Efficient foundation models for PDEs","venue":"arXiv (Cornell University)","work_id":"f9ea4049-33b0-421b-b513-7bf316a19c3c","year":2024},"citing_paper":{"arxiv_id":"2605.22222","last_updated":"2026-05-25T07:06:51Z","snapshot_observed_at":"2026-07-06T23:32:35.159280Z","submitted_at":"2026-05-21T09:26:16Z","title":"ARC-STAR: Auditable Post-Hoc Correction for PDE Foundation Models","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-30T17:39:28.968821Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2605.22222"},"observation_digest":"sha256:3a74a5e5989b2b6809d4dda02edbb1eb12b7a4106d12408d97833d521062d003","observation_id":"415faf4b-754a-4f03-a7f1-4502ab19a692","resolution":{"observed_at":"2026-06-30T17:44:57.781903Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":"2405.19101","doi":"10.48550/arxiv.2405.19101","metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Poseidon: Efficient foundation models for PDEs","venue":"arXiv (Cornell University)","work_id":"f9ea4049-33b0-421b-b513-7bf316a19c3c","year":2024},"citing_paper":{"arxiv_id":"2605.24658","last_updated":"2026-05-23T16:58:37Z","snapshot_observed_at":"2026-08-07T15:19:41.100168Z","submitted_at":"2026-05-23T16:58:37Z","title":"WLNO: Wavelet-Laplace Neural Operator for Solving Partial Differential Equations","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-30T14:57:17.751127Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2605.24658"},"observation_digest":"sha256:c200977fb2b4ba866c06f8ac532ac0db2b52f71da67e4b48a2bc9d5b5e444a95","observation_id":"a2918fba-3cd3-4f94-b1d9-3d5546c182b3","resolution":{"observed_at":"2026-06-30T15:04:46.388064Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":"2405.19101","doi":"10.48550/arxiv.2405.19101","metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Poseidon: Efficient foundation models for PDEs","venue":"arXiv (Cornell University)","work_id":"f9ea4049-33b0-421b-b513-7bf316a19c3c","year":2024},"citing_paper":{"arxiv_id":"2605.28909","last_updated":"2026-05-27T17:18:39Z","snapshot_observed_at":"2026-08-07T21:49:17.996658Z","submitted_at":"2026-05-27T17:18:39Z","title":"Sequential Physics-Constrained Neural Operator Forward Modeling for the $\\textit{Norne}$ Reservoir System","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-29T14:37:05.393813Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2605.28909"},"observation_digest":"sha256:17b9f3efb3827c7272639cdd3af1ef53234af67d6dd3cea61b74462c4dc83e0d","observation_id":"face7293-b70e-4e22-8561-e22a355368c8","resolution":{"observed_at":"2026-06-29T14:43:30.820910Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs","version":2},"cited_work":{"arxiv_id":"2405.19101","doi":"10.48550/arxiv.2405.19101","metadata_source":"arxiv_reference","pith_arxiv_id":"2405.19101","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Poseidon: Efficient foundation models for PDEs","venue":"arXiv (Cornell University)","work_id":"f9ea4049-33b0-421b-b513-7bf316a19c3c","year":2024},"citing_paper":{"arxiv_id":"2606.11657","last_updated":"2026-06-10T04:38:45Z","snapshot_observed_at":"2026-08-08T17:05:55.149087Z","submitted_at":"2026-06-10T04:38:45Z","title":"Sparse probes and murky physics: a case study of interpretability challenges in a foundation model for continuum dynamics","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-27T10:55:15.050341Z"},"links":{"cited_paper":"/paper/2405.19101","citing_paper":"/paper/2606.11657"},"observation_digest":"sha256:668f4ccd825ffa471c295bd664f4aa25be027306a843ccb86b5efd149dd8d923","observation_id":"4e13c1a4-1b81-4040-98cc-98ab3abf3de9","resolution":{"observed_at":"2026-06-27T11:00:50.762057Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2405.19101/citation-record","integrity":"/paper/2405.19101/integrity","json":"/paper/2405.19101/citation-record.json","paper":"/paper/2405.19101"},"outbound":[],"paper":{"arxiv_id":"2405.19101","last_updated":"2024-11-05T16:32:43Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-06T18:22:01.301152Z","submitted_at":"2024-05-29T14:06:51Z","title":"Poseidon: Efficient Foundation Models for PDEs"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 21 inbound Pith citation observations for arXiv:2405.19101."}