{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:BA4GM4FS2SMIO36I5CGMYJZ2IJ","short_pith_number":"pith:BA4GM4FS","schema_version":"1.0","canonical_sha256":"08386670b2d498876fc8e88ccc273a42739535c5aee205e78d2fdf638101d219","source":{"kind":"arxiv","id":"2204.08789","version":2},"attestation_state":"computed","paper":{"title":"Large deviations for marked sparse random graphs with applications to interacting diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alan Pereira, Guilherme Reis, Rangel Baldasso, Roberto I Oliveira","submitted_at":"2022-04-19T10:20:41Z","abstract_excerpt":"We consider the empirical neighborhood distribution of marked sparse Erd\\H{o}s-R\\'enyi random graphs, obtained by decorating edges and vertices of a sparse Erd\\H{o}s-R\\'enyi random graph with i.i.d. random elements taking values on Polish spaces. We prove that the empirical neighborhood distribution of this model satisfies a large deviation principle in the framework of local weak convergence. We rely on the concept of BC-entropy introduced by Delgosha and Anantharam~(2019) which is inspired on the previous work by Bordenave and Caputo~(2015). Our main technical contribution is an approximatio"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2204.08789","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2022-04-19T10:20:41Z","cross_cats_sorted":[],"title_canon_sha256":"f0cf700375047938d75683073a06e405784a210a017387c066cf40f4de48939c","abstract_canon_sha256":"19d9891e680aa582fb475acadcd37526a50a46f4fdb2d61c73041a0887215255"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-11T01:09:06.412740Z","signature_b64":"EhGAVwo478zBOe7xGqeHjbYvsEOUHw4UoDZY4dEuX+JV8Pha2ZF/5Xfem24mFmdgRpuBlqQqjH+EGMsIAmTgCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08386670b2d498876fc8e88ccc273a42739535c5aee205e78d2fdf638101d219","last_reissued_at":"2026-06-11T01:09:06.411725Z","signature_status":"signed_v1","first_computed_at":"2026-06-11T01:09:06.411725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large deviations for marked sparse random graphs with applications to interacting diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alan Pereira, Guilherme Reis, Rangel Baldasso, Roberto I Oliveira","submitted_at":"2022-04-19T10:20:41Z","abstract_excerpt":"We consider the empirical neighborhood distribution of marked sparse Erd\\H{o}s-R\\'enyi random graphs, obtained by decorating edges and vertices of a sparse Erd\\H{o}s-R\\'enyi random graph with i.i.d. random elements taking values on Polish spaces. We prove that the empirical neighborhood distribution of this model satisfies a large deviation principle in the framework of local weak convergence. We rely on the concept of BC-entropy introduced by Delgosha and Anantharam~(2019) which is inspired on the previous work by Bordenave and Caputo~(2015). Our main technical contribution is an approximatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.08789","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2204.08789/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2204.08789","created_at":"2026-06-11T01:09:06.411872+00:00"},{"alias_kind":"arxiv_version","alias_value":"2204.08789v2","created_at":"2026-06-11T01:09:06.411872+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.08789","created_at":"2026-06-11T01:09:06.411872+00:00"},{"alias_kind":"pith_short_12","alias_value":"BA4GM4FS2SMI","created_at":"2026-06-11T01:09:06.411872+00:00"},{"alias_kind":"pith_short_16","alias_value":"BA4GM4FS2SMIO36I","created_at":"2026-06-11T01:09:06.411872+00:00"},{"alias_kind":"pith_short_8","alias_value":"BA4GM4FS","created_at":"2026-06-11T01:09:06.411872+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BA4GM4FS2SMIO36I5CGMYJZ2IJ","json":"https://pith.science/pith/BA4GM4FS2SMIO36I5CGMYJZ2IJ.json","graph_json":"https://pith.science/api/pith-number/BA4GM4FS2SMIO36I5CGMYJZ2IJ/graph.json","events_json":"https://pith.science/api/pith-number/BA4GM4FS2SMIO36I5CGMYJZ2IJ/events.json","paper":"https://pith.science/paper/BA4GM4FS"},"agent_actions":{"view_html":"https://pith.science/pith/BA4GM4FS2SMIO36I5CGMYJZ2IJ","download_json":"https://pith.science/pith/BA4GM4FS2SMIO36I5CGMYJZ2IJ.json","view_paper":"https://pith.science/paper/BA4GM4FS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2204.08789&json=true","fetch_graph":"https://pith.science/api/pith-number/BA4GM4FS2SMIO36I5CGMYJZ2IJ/graph.json","fetch_events":"https://pith.science/api/pith-number/BA4GM4FS2SMIO36I5CGMYJZ2IJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BA4GM4FS2SMIO36I5CGMYJZ2IJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BA4GM4FS2SMIO36I5CGMYJZ2IJ/action/storage_attestation","attest_author":"https://pith.science/pith/BA4GM4FS2SMIO36I5CGMYJZ2IJ/action/author_attestation","sign_citation":"https://pith.science/pith/BA4GM4FS2SMIO36I5CGMYJZ2IJ/action/citation_signature","submit_replication":"https://pith.science/pith/BA4GM4FS2SMIO36I5CGMYJZ2IJ/action/replication_record"}},"created_at":"2026-06-11T01:09:06.411872+00:00","updated_at":"2026-06-11T01:09:06.411872+00:00"}