{"as_of":"2026-08-18T03:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:502b4ab9a87d35ef60f37a7c75a3f16be6d1a0fa9b81143c66b450016cf065f2","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":"2026-08-17T06:30:58.91139+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":"2026-06-27T04:39:57.778962Z","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":"2026-07-03T17:08:43.135256Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1004.4802","last_updated":"2010-04-27T13:43:06Z","snapshot_observed_at":"2026-08-15T05:20:31.309364Z","submitted_at":"2010-04-27T13:43:06Z","title":"Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program","version":1},"cited_work":{"arxiv_id":"1004.4802","doi":null,"metadata_source":"pith","pith_arxiv_id":"1004.4802","snapshot_observed_at":"2026-07-03T17:08:43.135256Z","title":"Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program","venue":"math.AG","work_id":"b2873658-1f1d-4551-90be-384ea39d8622","year":2010},"citing_paper":{"arxiv_id":"2606.13628","last_updated":"2026-06-11T17:40:51Z","snapshot_observed_at":"2026-08-17T00:01:12.937261Z","submitted_at":"2026-06-11T17:40:51Z","title":"A near-quadratic lower bound on the border determinantal complexity of $\\sum_i x_i^n$ via conormal specialization","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-27T04:39:57.778962Z"},"links":{"cited_paper":"/paper/1004.4802","citing_paper":"/paper/2606.13628"},"observation_digest":"sha256:276f58b32490b1bd4fba95750e98a89b237e185980787e27bf1c3b7728ebf6b5","observation_id":"33882803-194d-4e42-8ff0-d3eca12bbb14","resolution":{"observed_at":"2026-07-03T17:08:43.136399Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1004.4802/citation-record","integrity":"/paper/1004.4802/integrity","json":"/paper/1004.4802/citation-record.json","paper":"/paper/1004.4802"},"outbound":[],"paper":{"arxiv_id":"1004.4802","last_updated":"2010-04-27T13:43:06Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-15T05:20:31.309364Z","submitted_at":"2010-04-27T13:43:06Z","title":"Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program"},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1004.4802."}