{"as_of":"2026-08-07T20:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d56f37965e4c2a7336c5d61c01f143f90b06ea70a3e9dea9124f1d53e826384e","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T20:49:34.959801Z","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":"2026-05-12T05:46:26.513434Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2112.05620","last_updated":"2021-12-10T15:54:54Z","snapshot_observed_at":"2026-07-06T12:17:25.041202Z","submitted_at":"2021-12-10T15:54:54Z","title":"How to Avoid Trivial Solutions in Physics-Informed Neural Networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.05620","snapshot_observed_at":"2026-08-06T20:49:34.959801Z","title":"How to avoid trivial solutions in physics- informed neural networks,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.01714","last_updated":"2025-07-02T13:44:31Z","snapshot_observed_at":"2026-08-06T20:42:13.656262Z","submitted_at":"2025-07-02T13:44:31Z","title":"B-PL-PINN: Stabilizing PINN Training with Bayesian Pseudo Labeling","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T20:49:34.959801Z"},"links":{"cited_paper":"/paper/2112.05620","citing_paper":"/paper/2507.01714"},"observation_digest":"sha256:daed6b1c6cc53e2efd4ae8042993142dd36434f96b9f892ca736a07f1b5d6846","observation_id":"6e1d1e48-665c-4d3b-bfa8-c3ac449e6d09","resolution":{"observed_at":"2026-08-06T20:49:34.959801Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.05620","last_updated":"2021-12-10T15:54:54Z","snapshot_observed_at":"2026-07-06T12:17:25.041202Z","submitted_at":"2021-12-10T15:54:54Z","title":"How to Avoid Trivial Solutions in Physics-Informed Neural Networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.05620","snapshot_observed_at":"2026-08-04T22:39:13.640757Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.07245","last_updated":"2025-09-08T21:43:41Z","snapshot_observed_at":"2026-08-04T22:39:12.559181Z","submitted_at":"2025-09-08T21:43:41Z","title":"IP-Basis PINNs: Efficient Multi-Query Inverse Parameter Estimation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T22:39:13.640757Z"},"links":{"cited_paper":"/paper/2112.05620","citing_paper":"/paper/2509.07245"},"observation_digest":"sha256:51162139074fb3d12b0946fbb2ff88439a793870fa8371a1d5d0cf83c2e80fdd","observation_id":"096b628a-68e6-4e05-b127-bb441f1b96fb","resolution":{"observed_at":"2026-08-04T22:39:13.640757Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.05620","last_updated":"2021-12-10T15:54:54Z","snapshot_observed_at":"2026-07-06T12:17:25.041202Z","submitted_at":"2021-12-10T15:54:54Z","title":"How to Avoid Trivial Solutions in Physics-Informed Neural Networks","version":1},"cited_work":{"arxiv_id":"2112.05620","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2112.05620","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"How to Avoid Trivial Solutions in Physics-Informed Neural Networks.CoRR, abs/2112.05620","venue":null,"work_id":"11353f06-5c00-4fa3-93e6-2bfa72aeb3cb","year":2021},"citing_paper":{"arxiv_id":"2605.10136","last_updated":"2026-05-11T07:46:07Z","snapshot_observed_at":"2026-07-06T23:22:08.560919Z","submitted_at":"2026-05-11T07:46:07Z","title":"Per-Loss Adapters for Gradient Conflict in Physics-Informed Neural Networks","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-12T05:00:35.040024Z"},"links":{"cited_paper":"/paper/2112.05620","citing_paper":"/paper/2605.10136"},"observation_digest":"sha256:f81a328420c2df2562a76523f9a0adc6641299e212f0c2b0978bc840ea883938","observation_id":"038aab00-d49a-4d5e-9c8f-149df285046d","resolution":{"observed_at":"2026-05-12T05:46:26.516390Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2112.05620/citation-record","integrity":"/paper/2112.05620/integrity","json":"/paper/2112.05620/citation-record.json","paper":"/paper/2112.05620"},"outbound":[],"paper":{"arxiv_id":"2112.05620","last_updated":"2021-12-10T15:54:54Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-06T12:17:25.041202Z","submitted_at":"2021-12-10T15:54:54Z","title":"How to Avoid Trivial Solutions in Physics-Informed Neural Networks"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2112.05620."}