{"as_of":"2026-08-21T09:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:df064315ff52159d1baec18be4a397bcfd4fb7fb1e82fdd517fb259dbb0f2e34","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":"2026-08-21T06:32:19.484+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":"2026-08-11T04:24:38.547616Z","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":"2026-08-07T19:46:23.776687Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2407.01309","last_updated":"2025-02-26T16:46:27Z","snapshot_observed_at":"2026-08-16T13:38:06.853000Z","submitted_at":"2024-07-01T14:16:55Z","title":"Triviality proof for mean-field $\\varphi_4^4$-theories","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.01309","snapshot_observed_at":"2026-08-08T12:33:24.288623Z","title":"Wang and C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.07546","last_updated":"2025-07-29T16:45:22Z","snapshot_observed_at":"2026-08-16T19:48:37.046204Z","submitted_at":"2025-02-11T13:32:13Z","title":"Exact Schwinger functions for a class of bounded interactions in $d\\geq 2$","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-08T12:33:24.288623Z"},"links":{"cited_paper":"/paper/2407.01309","citing_paper":"/paper/2502.07546"},"observation_digest":"sha256:1db9a544d2e941900ca1f16d10198a357c2483d85ab44056ad6c5d2c6eaf9a1c","observation_id":"b5046a4c-7a85-469e-ab95-e2906a98337e","resolution":{"observed_at":"2026-08-08T12:33:24.288623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.01309","last_updated":"2025-02-26T16:46:27Z","snapshot_observed_at":"2026-08-16T13:38:06.853000Z","submitted_at":"2024-07-01T14:16:55Z","title":"Triviality proof for mean-field $\\varphi_4^4$-theories","version":3},"cited_work":{"arxiv_id":"2407.01309","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.01309","snapshot_observed_at":"2026-08-07T19:46:23.776687Z","title":"Triviality proof for mean-field $\\varphi_4^4$-theories","venue":"math-ph","work_id":"074d093f-f3dd-42c6-ba20-817c08f3c0ba","year":2024},"citing_paper":{"arxiv_id":"2608.05998","last_updated":"2026-08-08T12:19:14Z","snapshot_observed_at":"2026-08-15T09:12:32.633438Z","submitted_at":"2026-08-06T13:06:37Z","title":"Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\\phi^4_4$","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T19:46:23.742327Z"},"links":{"cited_paper":"/paper/2407.01309","citing_paper":"/paper/2608.05998"},"observation_digest":"sha256:52c8e78572c8d153aa71bb301d76d0e5cfa0385ea58981c84ee2820a2da4a820","observation_id":"3a76f79e-2f0a-4653-94f2-b8b1ed3c507e","resolution":{"observed_at":"2026-08-07T19:46:23.782745Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.01309","last_updated":"2025-02-26T16:46:27Z","snapshot_observed_at":"2026-08-16T13:38:06.853000Z","submitted_at":"2024-07-01T14:16:55Z","title":"Triviality proof for mean-field $\\varphi_4^4$-theories","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.01309","snapshot_observed_at":"2026-08-11T04:24:38.547616Z","title":"Journal of Mathematical Physics , volume =","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05998","last_updated":"2026-08-08T12:19:14Z","snapshot_observed_at":"2026-08-15T09:12:32.633438Z","submitted_at":"2026-08-06T13:06:37Z","title":"Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\\phi^4_4$","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T04:24:38.547616Z"},"links":{"cited_paper":"/paper/2407.01309","citing_paper":"/paper/2608.05998"},"observation_digest":"sha256:4e6a21afc80380711e4f916a29c8432ca5ee236212ec6e9cc7b8294fca63d798","observation_id":"ebaa066a-622a-4e00-a334-2f389365fc34","resolution":{"observed_at":"2026-08-11T04:24:38.547616Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2407.01309/citation-record","integrity":"/paper/2407.01309/integrity","json":"/paper/2407.01309/citation-record.json","paper":"/paper/2407.01309"},"outbound":[],"paper":{"arxiv_id":"2407.01309","last_updated":"2025-02-26T16:46:27Z","latest_version":3,"primary_category":"math-ph","snapshot_observed_at":"2026-08-16T13:38:06.853000Z","submitted_at":"2024-07-01T14:16:55Z","title":"Triviality proof for mean-field $\\varphi_4^4$-theories"},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2407.01309."}