{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:OR5F2E4Y7ZTXE5Y6G762O5UGUF","short_pith_number":"pith:OR5F2E4Y","schema_version":"1.0","canonical_sha256":"747a5d1398fe6772771e37fda77686a141d76c7cf12a508118075a2d1978fa11","source":{"kind":"arxiv","id":"1210.4276","version":1},"attestation_state":"computed","paper":{"title":"Semi-Supervised Classification Through the Bag-of-Paths Group Betweenness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Bertrand Lebichot, Ilkka Kivim\\\"aki, Kevin Fran\\c{c}oisse, Marco Saerens","submitted_at":"2012-10-16T07:31:59Z","abstract_excerpt":"This paper introduces a novel, well-founded, betweenness measure, called the Bag-of-Paths (BoP) betweenness, as well as its extension, the BoP group betweenness, to tackle semisupervised classification problems on weighted directed graphs. The objective of semi-supervised classification is to assign a label to unlabeled nodes using the whole topology of the graph and the labeled nodes at our disposal. The BoP betweenness relies on a bag-of-paths framework assigning a Boltzmann distribution on the set of all possible paths through the network such that long (high-cost) paths have a low probabil"},"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":"1210.4276","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2012-10-16T07:31:59Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"0854e48b3ec21b46ada7352b14be6d931a3bdd687fff5c1015b159b232083189","abstract_canon_sha256":"0ec811d1a08931997920086c82eb87aac25bce83fa4d7bd0e64be5942cc577a0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:06.444004Z","signature_b64":"t5huGMXUdWPApi71qYc5j2+ENCBwF+ZCcWxu7qDBT91ILuS1aSyTfKMZEaexJpvkOyALAYYsq20JeVpzV+48AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"747a5d1398fe6772771e37fda77686a141d76c7cf12a508118075a2d1978fa11","last_reissued_at":"2026-05-18T03:43:06.443357Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:06.443357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semi-Supervised Classification Through the Bag-of-Paths Group Betweenness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Bertrand Lebichot, Ilkka Kivim\\\"aki, Kevin Fran\\c{c}oisse, Marco Saerens","submitted_at":"2012-10-16T07:31:59Z","abstract_excerpt":"This paper introduces a novel, well-founded, betweenness measure, called the Bag-of-Paths (BoP) betweenness, as well as its extension, the BoP group betweenness, to tackle semisupervised classification problems on weighted directed graphs. The objective of semi-supervised classification is to assign a label to unlabeled nodes using the whole topology of the graph and the labeled nodes at our disposal. The BoP betweenness relies on a bag-of-paths framework assigning a Boltzmann distribution on the set of all possible paths through the network such that long (high-cost) paths have a low probabil"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.4276","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":""},"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":"1210.4276","created_at":"2026-05-18T03:43:06.443469+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.4276v1","created_at":"2026-05-18T03:43:06.443469+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.4276","created_at":"2026-05-18T03:43:06.443469+00:00"},{"alias_kind":"pith_short_12","alias_value":"OR5F2E4Y7ZTX","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"OR5F2E4Y7ZTXE5Y6","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"OR5F2E4Y","created_at":"2026-05-18T12:27:16.716162+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/OR5F2E4Y7ZTXE5Y6G762O5UGUF","json":"https://pith.science/pith/OR5F2E4Y7ZTXE5Y6G762O5UGUF.json","graph_json":"https://pith.science/api/pith-number/OR5F2E4Y7ZTXE5Y6G762O5UGUF/graph.json","events_json":"https://pith.science/api/pith-number/OR5F2E4Y7ZTXE5Y6G762O5UGUF/events.json","paper":"https://pith.science/paper/OR5F2E4Y"},"agent_actions":{"view_html":"https://pith.science/pith/OR5F2E4Y7ZTXE5Y6G762O5UGUF","download_json":"https://pith.science/pith/OR5F2E4Y7ZTXE5Y6G762O5UGUF.json","view_paper":"https://pith.science/paper/OR5F2E4Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.4276&json=true","fetch_graph":"https://pith.science/api/pith-number/OR5F2E4Y7ZTXE5Y6G762O5UGUF/graph.json","fetch_events":"https://pith.science/api/pith-number/OR5F2E4Y7ZTXE5Y6G762O5UGUF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OR5F2E4Y7ZTXE5Y6G762O5UGUF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OR5F2E4Y7ZTXE5Y6G762O5UGUF/action/storage_attestation","attest_author":"https://pith.science/pith/OR5F2E4Y7ZTXE5Y6G762O5UGUF/action/author_attestation","sign_citation":"https://pith.science/pith/OR5F2E4Y7ZTXE5Y6G762O5UGUF/action/citation_signature","submit_replication":"https://pith.science/pith/OR5F2E4Y7ZTXE5Y6G762O5UGUF/action/replication_record"}},"created_at":"2026-05-18T03:43:06.443469+00:00","updated_at":"2026-05-18T03:43:06.443469+00:00"}