{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:5JQBI7M4Q2ROHMFOSGXT3XM3UJ","short_pith_number":"pith:5JQBI7M4","canonical_record":{"source":{"id":"2402.18805","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2024-02-29T02:19:55Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"23c5a60ba2b2b522d6ab3cb223da43bbc4cf9bd04f981c0c7cb586673d6c2103","abstract_canon_sha256":"724b2f7413aecf6096f42b4ff94dc5613c8a8c97e5b01f92e800ca4ae8c2b52e"},"schema_version":"1.0"},"canonical_sha256":"ea60147d9c86a2e3b0ae91af3ddd9ba276ad85ce2a6e18df8430a08716403126","source":{"kind":"arxiv","id":"2402.18805","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.18805","created_at":"2026-07-05T07:50:28Z"},{"alias_kind":"arxiv_version","alias_value":"2402.18805v1","created_at":"2026-07-05T07:50:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.18805","created_at":"2026-07-05T07:50:28Z"},{"alias_kind":"pith_short_12","alias_value":"5JQBI7M4Q2RO","created_at":"2026-07-05T07:50:28Z"},{"alias_kind":"pith_short_16","alias_value":"5JQBI7M4Q2ROHMFO","created_at":"2026-07-05T07:50:28Z"},{"alias_kind":"pith_short_8","alias_value":"5JQBI7M4","created_at":"2026-07-05T07:50:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:5JQBI7M4Q2ROHMFOSGXT3XM3UJ","target":"record","payload":{"canonical_record":{"source":{"id":"2402.18805","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2024-02-29T02:19:55Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"23c5a60ba2b2b522d6ab3cb223da43bbc4cf9bd04f981c0c7cb586673d6c2103","abstract_canon_sha256":"724b2f7413aecf6096f42b4ff94dc5613c8a8c97e5b01f92e800ca4ae8c2b52e"},"schema_version":"1.0"},"canonical_sha256":"ea60147d9c86a2e3b0ae91af3ddd9ba276ad85ce2a6e18df8430a08716403126","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:50:28.173243Z","signature_b64":"jaA9DgLt9zlSKw4vLT4RATGj+kYBzcen5AIkyv90r/VKBdismYY5iGXSQsEY+Eh90HafC4iMtOiq7lAgzgCbDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea60147d9c86a2e3b0ae91af3ddd9ba276ad85ce2a6e18df8430a08716403126","last_reissued_at":"2026-07-05T07:50:28.172806Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:50:28.172806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.18805","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:50:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/v/ApT8PaQ2fxJjVNoafxgd1Bw6DkiV0896gcMEqzBiLB16aNziMv3Nw5Ic7qpR9jf0JNApQPgRtNwVRneawAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:59:23.518596Z"},"content_sha256":"bfc6e750012770279902e9e05a095ec50b6daa20eef152adb69d1412015e07f3","schema_version":"1.0","event_id":"sha256:bfc6e750012770279902e9e05a095ec50b6daa20eef152adb69d1412015e07f3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:5JQBI7M4Q2ROHMFOSGXT3XM3UJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"VEC-SBM: Optimal Community Detection with Vectorial Edges Covariates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.SI","authors_text":"Guillaume Braun, Masashi Sugiyama","submitted_at":"2024-02-29T02:19:55Z","abstract_excerpt":"Social networks are often associated with rich side information, such as texts and images. While numerous methods have been developed to identify communities from pairwise interactions, they usually ignore such side information. In this work, we study an extension of the Stochastic Block Model (SBM), a widely used statistical framework for community detection, that integrates vectorial edges covariates: the Vectorial Edges Covariates Stochastic Block Model (VEC-SBM). We propose a novel algorithm based on iterative refinement techniques and show that it optimally recovers the latent communities"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.18805","kind":"arxiv","version":1},"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/2402.18805/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:50:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TL4tFOmdEt6zkwhyo3IfwyLJOIUQMaOWL5yG8dmHjLMp1uC1/t8TtJtPe/7vpEiw06hWdBHiDscWob8woawyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:59:23.518968Z"},"content_sha256":"13bc97e0a09de04becacc827b150ac18e6ed18526340d800d24dc8ac8ce7fea6","schema_version":"1.0","event_id":"sha256:13bc97e0a09de04becacc827b150ac18e6ed18526340d800d24dc8ac8ce7fea6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5JQBI7M4Q2ROHMFOSGXT3XM3UJ/bundle.json","state_url":"https://pith.science/pith/5JQBI7M4Q2ROHMFOSGXT3XM3UJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5JQBI7M4Q2ROHMFOSGXT3XM3UJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-06T20:59:23Z","links":{"resolver":"https://pith.science/pith/5JQBI7M4Q2ROHMFOSGXT3XM3UJ","bundle":"https://pith.science/pith/5JQBI7M4Q2ROHMFOSGXT3XM3UJ/bundle.json","state":"https://pith.science/pith/5JQBI7M4Q2ROHMFOSGXT3XM3UJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5JQBI7M4Q2ROHMFOSGXT3XM3UJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:5JQBI7M4Q2ROHMFOSGXT3XM3UJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"724b2f7413aecf6096f42b4ff94dc5613c8a8c97e5b01f92e800ca4ae8c2b52e","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2024-02-29T02:19:55Z","title_canon_sha256":"23c5a60ba2b2b522d6ab3cb223da43bbc4cf9bd04f981c0c7cb586673d6c2103"},"schema_version":"1.0","source":{"id":"2402.18805","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.18805","created_at":"2026-07-05T07:50:28Z"},{"alias_kind":"arxiv_version","alias_value":"2402.18805v1","created_at":"2026-07-05T07:50:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.18805","created_at":"2026-07-05T07:50:28Z"},{"alias_kind":"pith_short_12","alias_value":"5JQBI7M4Q2RO","created_at":"2026-07-05T07:50:28Z"},{"alias_kind":"pith_short_16","alias_value":"5JQBI7M4Q2ROHMFO","created_at":"2026-07-05T07:50:28Z"},{"alias_kind":"pith_short_8","alias_value":"5JQBI7M4","created_at":"2026-07-05T07:50:28Z"}],"graph_snapshots":[{"event_id":"sha256:13bc97e0a09de04becacc827b150ac18e6ed18526340d800d24dc8ac8ce7fea6","target":"graph","created_at":"2026-07-05T07:50:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2402.18805/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Social networks are often associated with rich side information, such as texts and images. While numerous methods have been developed to identify communities from pairwise interactions, they usually ignore such side information. In this work, we study an extension of the Stochastic Block Model (SBM), a widely used statistical framework for community detection, that integrates vectorial edges covariates: the Vectorial Edges Covariates Stochastic Block Model (VEC-SBM). We propose a novel algorithm based on iterative refinement techniques and show that it optimally recovers the latent communities","authors_text":"Guillaume Braun, Masashi Sugiyama","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2024-02-29T02:19:55Z","title":"VEC-SBM: Optimal Community Detection with Vectorial Edges Covariates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.18805","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:bfc6e750012770279902e9e05a095ec50b6daa20eef152adb69d1412015e07f3","target":"record","created_at":"2026-07-05T07:50:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"724b2f7413aecf6096f42b4ff94dc5613c8a8c97e5b01f92e800ca4ae8c2b52e","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2024-02-29T02:19:55Z","title_canon_sha256":"23c5a60ba2b2b522d6ab3cb223da43bbc4cf9bd04f981c0c7cb586673d6c2103"},"schema_version":"1.0","source":{"id":"2402.18805","kind":"arxiv","version":1}},"canonical_sha256":"ea60147d9c86a2e3b0ae91af3ddd9ba276ad85ce2a6e18df8430a08716403126","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea60147d9c86a2e3b0ae91af3ddd9ba276ad85ce2a6e18df8430a08716403126","first_computed_at":"2026-07-05T07:50:28.172806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:50:28.172806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jaA9DgLt9zlSKw4vLT4RATGj+kYBzcen5AIkyv90r/VKBdismYY5iGXSQsEY+Eh90HafC4iMtOiq7lAgzgCbDw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:50:28.173243Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.18805","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfc6e750012770279902e9e05a095ec50b6daa20eef152adb69d1412015e07f3","sha256:13bc97e0a09de04becacc827b150ac18e6ed18526340d800d24dc8ac8ce7fea6"],"state_sha256":"01a76ae7c2884ad24e1cf90a1db4d5b2d0af568c48737bdd9eca36b93b23cf37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ix5exdE9fvTwXcp4uX/hiiwiR/L/nfoll7gPJhXYZqxhAVC5jNOATbDvPFXvrOeslE2wFzONEDDybFBhdCHeDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T20:59:23.520880Z","bundle_sha256":"607f38aa64bdacccee1af76b337e1520aa230ccec301847eb1c04b7660f6d73e"}}