{"as_of":"2026-08-14T11:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:de2320e1e9aaad6b5c59e18b46fe7780f3e6a778bbb2543b86bd2c38e5b51e19","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":"2026-08-14T06:32:32.682623+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":"2026-08-11T13:49:22.842105Z","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":"2026-07-04T10:59:45.961165Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.03491","last_updated":"2024-08-28T06:17:16Z","snapshot_observed_at":"2026-08-13T18:01:03.371289Z","submitted_at":"2024-08-07T01:02:08Z","title":"Sidorenko's conjecture for subdivisions and theta substitutions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.03491","snapshot_observed_at":"2026-08-11T13:49:22.842105Z","title":"arXiv preprint arXiv:2408.03491 (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.12904","last_updated":"2024-12-17T13:28:49Z","snapshot_observed_at":"2026-08-11T13:34:53.443809Z","submitted_at":"2024-12-17T13:28:49Z","title":"Forcing Graphs to be Forcing","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T13:49:22.842105Z"},"links":{"cited_paper":"/paper/2408.03491","citing_paper":"/paper/2412.12904"},"observation_digest":"sha256:da832d9957bacc0f385a8b3727d60952be540361eead3cf33f70fa7d6f3c41b5","observation_id":"711a4645-44f5-4aa1-a291-7fd12bdc5fb3","resolution":{"observed_at":"2026-08-11T13:49:22.842105Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.03491","last_updated":"2024-08-28T06:17:16Z","snapshot_observed_at":"2026-08-13T18:01:03.371289Z","submitted_at":"2024-08-07T01:02:08Z","title":"Sidorenko's conjecture for subdivisions and theta substitutions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.03491","snapshot_observed_at":"2026-08-06T15:38:11.592452Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.15723","last_updated":"2025-07-21T15:33:19Z","snapshot_observed_at":"2026-08-10T11:41:22.107443Z","submitted_at":"2025-07-21T15:33:19Z","title":"Sidorenko-Type Inequalities for Even Subdivisions over Finite Abelian Groups","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T15:38:11.592452Z"},"links":{"cited_paper":"/paper/2408.03491","citing_paper":"/paper/2507.15723"},"observation_digest":"sha256:e3dc491945a304ecef47c5f7c58280c71138381cde2e6562fa27e1eb0123f97d","observation_id":"c5b708ad-1551-4272-a8e2-907f993be930","resolution":{"observed_at":"2026-08-06T15:38:11.592452Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.03491","last_updated":"2024-08-28T06:17:16Z","snapshot_observed_at":"2026-08-13T18:01:03.371289Z","submitted_at":"2024-08-07T01:02:08Z","title":"Sidorenko's conjecture for subdivisions and theta substitutions","version":2},"cited_work":{"arxiv_id":"2408.03491","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.03491","snapshot_observed_at":"2026-07-04T10:59:45.961165Z","title":"arXiv preprint arXiv:2408.03491 , year=","venue":null,"work_id":"dfc033a8-5214-4cdf-8a03-828ca9355567","year":null},"citing_paper":{"arxiv_id":"2606.23018","last_updated":"2026-06-22T08:30:05Z","snapshot_observed_at":"2026-07-06T23:57:47.047975Z","submitted_at":"2026-06-22T08:30:05Z","title":"Sidorenko Inequalities for Two-Sided Group Correlation Kernels","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-26T08:19:04.837889Z"},"links":{"cited_paper":"/paper/2408.03491","citing_paper":"/paper/2606.23018"},"observation_digest":"sha256:289b28a4e2ae09a02d62f8ae9dc9a2a06123d8461d4d94d52f6a7e9c88b7a080","observation_id":"e081d698-c73a-42df-84c6-b840f34ab1d0","resolution":{"observed_at":"2026-07-04T10:59:45.963411Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2408.03491/citation-record","integrity":"/paper/2408.03491/integrity","json":"/paper/2408.03491/citation-record.json","paper":"/paper/2408.03491"},"outbound":[],"paper":{"arxiv_id":"2408.03491","last_updated":"2024-08-28T06:17:16Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-13T18:01:03.371289Z","submitted_at":"2024-08-07T01:02:08Z","title":"Sidorenko's conjecture for subdivisions and theta substitutions"},"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 3 inbound Pith citation observations for arXiv:2408.03491."}