{"as_of":"2026-08-14T17:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:267274b08bbedd1cc8581ffbb6fcb95f02c2d13cabc39b26cbeff5e51f80c0cb","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T18:24:51.223982Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-11T18:24:51.612553Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2207.12678","last_updated":"2022-11-03T14:18:35Z","snapshot_observed_at":"2026-08-13T14:57:11.396048Z","submitted_at":"2022-07-26T06:37:58Z","title":"Analyzing Sharpness along GD Trajectory: Progressive Sharpening and Edge of Stability","version":2},"cited_work":{"arxiv_id":"2207.12678","doi":null,"metadata_source":"pith","pith_arxiv_id":"2207.12678","snapshot_observed_at":"2026-08-11T18:24:51.612553Z","title":"Analyzing Sharpness along GD Trajectory: Progressive Sharpening and Edge of Stability","venue":"cs.LG","work_id":"698c721c-538b-4196-a40d-aae39665dc16","year":2022},"citing_paper":{"arxiv_id":"2412.08025","last_updated":"2024-12-11T02:07:37Z","snapshot_observed_at":"2026-08-14T13:48:28.106462Z","submitted_at":"2024-12-11T02:07:37Z","title":"Criteria and Bias of Parameterized Linear Regression under Edge of Stability Regime","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T18:24:51.223982Z"},"links":{"cited_paper":"/paper/2207.12678","citing_paper":"/paper/2412.08025"},"observation_digest":"sha256:03973d022ff350e3b6c7030a66ed39a72820549fff7882ddd66cf0d28b03f21d","observation_id":"8064f1ad-9919-4082-9ff2-43454289109d","resolution":{"observed_at":"2026-08-11T18:24:51.619061Z","resolver_source":"local_arxiv","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"}}],"links":{"evidence":"/evidence","html":"/paper/2207.12678/citation-record","integrity":"/paper/2207.12678/integrity","json":"/paper/2207.12678/citation-record.json","paper":"/paper/2207.12678"},"outbound":[],"paper":{"arxiv_id":"2207.12678","last_updated":"2022-11-03T14:18:35Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-13T14:57:11.396048Z","submitted_at":"2022-07-26T06:37:58Z","title":"Analyzing Sharpness along GD Trajectory: Progressive Sharpening and Edge of Stability"},"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 1 inbound Pith citation observation for arXiv:2207.12678."}