{"as_of":"2026-08-14T10:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7b5f19dfe71fccc4f940ff18702250bfe136c37753dc6b88e913ccd3929f8731","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":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":8,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T17:23:17.872097Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-20T22:59:11.745821Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2302.10351","last_updated":"2023-02-20T22:34:43Z","snapshot_observed_at":"2026-08-13T12:40:33.976025Z","submitted_at":"2023-02-20T22:34:43Z","title":"Variational Autoencoding Neural Operators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.10351","snapshot_observed_at":"2026-08-12T17:23:17.872097Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.12726","last_updated":"2024-11-19T18:48:00Z","snapshot_observed_at":"2026-08-13T14:32:30.565697Z","submitted_at":"2024-11-19T18:48:00Z","title":"LazyDINO: Fast, scalable, and efficiently amortized Bayesian inversion via structure-exploiting and surrogate-driven measure transport","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-12T17:23:17.872097Z"},"links":{"cited_paper":"/paper/2302.10351","citing_paper":"/paper/2411.12726"},"observation_digest":"sha256:ecae087e0f1cdf43a581f32b997af331915d99e36c3f1a40819665977cf0f508","observation_id":"ee94134d-61f2-4ea0-a4f1-9a60d9187950","resolution":{"observed_at":"2026-08-12T17:23:17.872097Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.10351","last_updated":"2023-02-20T22:34:43Z","snapshot_observed_at":"2026-08-13T12:40:33.976025Z","submitted_at":"2023-02-20T22:34:43Z","title":"Variational Autoencoding Neural Operators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.10351","snapshot_observed_at":"2026-08-07T04:19:45.408265Z","title":"Variational autoencoding neural operators","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.10973","last_updated":"2025-06-12T17:59:31Z","snapshot_observed_at":"2026-08-11T05:32:22.625605Z","submitted_at":"2025-06-12T17:59:31Z","title":"Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning","version":1},"reference_index":94,"source":"arxiv_source","source_observed_at":"2026-08-07T04:19:45.408265Z"},"links":{"cited_paper":"/paper/2302.10351","citing_paper":"/paper/2506.10973"},"observation_digest":"sha256:f5db399ebf4708c8c9d2ed721286a6f8a3421ab2ba49c05774ffacdc91654b63","observation_id":"93d0ff59-98f7-4d69-9743-951e65355fa7","resolution":{"observed_at":"2026-08-07T04:19:45.408265Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.10351","last_updated":"2023-02-20T22:34:43Z","snapshot_observed_at":"2026-08-13T12:40:33.976025Z","submitted_at":"2023-02-20T22:34:43Z","title":"Variational Autoencoding Neural Operators","version":1},"cited_work":{"arxiv_id":"2302.10351","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2302.10351","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Seidman, Georgios Kissas, George J","venue":null,"work_id":"01b97d83-e7eb-4277-bd71-7af4225f7d2f","year":2023},"citing_paper":{"arxiv_id":"2510.00233","last_updated":"2026-05-01T14:44:54Z","snapshot_observed_at":"2026-08-13T03:02:24.187079Z","submitted_at":"2025-09-30T19:57:52Z","title":"Differentiable Autoencoding Neural Operator for Interpretable and Integrable Latent Space Modeling","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-18T11:26:06.622876Z"},"links":{"cited_paper":"/paper/2302.10351","citing_paper":"/paper/2510.00233"},"observation_digest":"sha256:1c05b22c2b7a770b0f15df7424459fa482a82b9f83bca5ac0be2c716f0c80f7a","observation_id":"5a4d1490-20b7-4ecf-87ca-5f8827051011","resolution":{"observed_at":"2026-05-18T11:26:18.506518Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.10351","last_updated":"2023-02-20T22:34:43Z","snapshot_observed_at":"2026-08-13T12:40:33.976025Z","submitted_at":"2023-02-20T22:34:43Z","title":"Variational Autoencoding Neural Operators","version":1},"cited_work":{"arxiv_id":"2302.10351","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2302.10351","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Seidman, Georgios Kissas, George J","venue":null,"work_id":"01b97d83-e7eb-4277-bd71-7af4225f7d2f","year":2023},"citing_paper":{"arxiv_id":"2604.07421","last_updated":"2026-06-07T12:53:20Z","snapshot_observed_at":"2026-08-11T16:43:10.341003Z","submitted_at":"2026-04-08T15:21:06Z","title":"SPAMoE: Spectrum-Aware Hybrid Operator Framework for Full-Waveform Inversion","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-10T17:36:47.926015Z"},"links":{"cited_paper":"/paper/2302.10351","citing_paper":"/paper/2604.07421"},"observation_digest":"sha256:6afc324e4c1b0329141f3e585ed664c628f044402c5a2b1df7fb63404f8745a8","observation_id":"0b9116dc-7590-421f-8da0-891b5ebb881c","resolution":{"observed_at":"2026-05-11T06:31:00.851910Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.10351","last_updated":"2023-02-20T22:34:43Z","snapshot_observed_at":"2026-08-13T12:40:33.976025Z","submitted_at":"2023-02-20T22:34:43Z","title":"Variational Autoencoding Neural Operators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.10351","snapshot_observed_at":"2026-07-13T08:35:30.948277Z","title":"Variational autoen- coding neural operators.arXiv preprint arXiv:2302.10351,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2604.07421","last_updated":"2026-06-07T12:53:20Z","snapshot_observed_at":"2026-08-11T16:43:10.341003Z","submitted_at":"2026-04-08T15:21:06Z","title":"SPAMoE: Spectrum-Aware Hybrid Operator Framework for Full-Waveform Inversion","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-13T08:35:30.948277Z"},"links":{"cited_paper":"/paper/2302.10351","citing_paper":"/paper/2604.07421"},"observation_digest":"sha256:bdb8ee23584a119bce3d8318f3c6a7f1e15f93bd6a76d3971bcbce976c060ccc","observation_id":"bdff3f04-f3e1-4dfc-9fba-dcf252653114","resolution":{"observed_at":"2026-07-13T08:35:30.948277Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.10351","last_updated":"2023-02-20T22:34:43Z","snapshot_observed_at":"2026-08-13T12:40:33.976025Z","submitted_at":"2023-02-20T22:34:43Z","title":"Variational Autoencoding Neural Operators","version":1},"cited_work":{"arxiv_id":"2302.10351","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2302.10351","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Seidman, Georgios Kissas, George J","venue":null,"work_id":"01b97d83-e7eb-4277-bd71-7af4225f7d2f","year":2023},"citing_paper":{"arxiv_id":"2605.11970","last_updated":"2026-05-16T20:05:23Z","snapshot_observed_at":"2026-07-06T23:23:44.276236Z","submitted_at":"2026-05-12T11:25:52Z","title":"NOFE - Neural Operator Function Embedding","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-13T07:37:37.403874Z"},"links":{"cited_paper":"/paper/2302.10351","citing_paper":"/paper/2605.11970"},"observation_digest":"sha256:05f6103e7fa3f09d06f94d8ed48ffe3b1a51617c8fd4edbf903fe9b8a42ade0a","observation_id":"1c093139-3453-4ba7-bc81-2df3f7d0c4be","resolution":{"observed_at":"2026-05-13T07:42:30.929742Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.10351","last_updated":"2023-02-20T22:34:43Z","snapshot_observed_at":"2026-08-13T12:40:33.976025Z","submitted_at":"2023-02-20T22:34:43Z","title":"Variational Autoencoding Neural Operators","version":1},"cited_work":{"arxiv_id":"2302.10351","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2302.10351","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Seidman, Georgios Kissas, George J","venue":null,"work_id":"01b97d83-e7eb-4277-bd71-7af4225f7d2f","year":2023},"citing_paper":{"arxiv_id":"2605.11970","last_updated":"2026-05-16T20:05:23Z","snapshot_observed_at":"2026-07-06T23:23:44.276236Z","submitted_at":"2026-05-12T11:25:52Z","title":"NOFE - Neural Operator Function Embedding","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-20T22:56:28.639049Z"},"links":{"cited_paper":"/paper/2302.10351","citing_paper":"/paper/2605.11970"},"observation_digest":"sha256:315ba30e4ca88aa3b70ef43234ac415e35ddcf0c2f1390169cd77a8b3ff3282a","observation_id":"bb7dcb2a-26a6-4f7b-9056-52a1ec58365d","resolution":{"observed_at":"2026-05-20T22:59:11.749139Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.10351","last_updated":"2023-02-20T22:34:43Z","snapshot_observed_at":"2026-08-13T12:40:33.976025Z","submitted_at":"2023-02-20T22:34:43Z","title":"Variational Autoencoding Neural Operators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.10351","snapshot_observed_at":"2026-07-30T16:23:26.351463Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23667","last_updated":"2026-07-26T14:02:46Z","snapshot_observed_at":"2026-08-13T02:27:25.644733Z","submitted_at":"2026-07-26T14:02:46Z","title":"No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-30T16:23:26.351463Z"},"links":{"cited_paper":"/paper/2302.10351","citing_paper":"/paper/2607.23667"},"observation_digest":"sha256:13a28912f927c520ddd2084099d6e00e1f58336ddaed40702e0d109c8aa67d8a","observation_id":"824c66d7-0a14-4b9e-b138-20dd2519886d","resolution":{"observed_at":"2026-07-30T16:23:26.351463Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2302.10351/citation-record","integrity":"/paper/2302.10351/integrity","json":"/paper/2302.10351/citation-record.json","paper":"/paper/2302.10351"},"outbound":[],"paper":{"arxiv_id":"2302.10351","last_updated":"2023-02-20T22:34:43Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-13T12:40:33.976025Z","submitted_at":"2023-02-20T22:34:43Z","title":"Variational Autoencoding Neural Operators"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2302.10351."}