{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:PP54FWRATZT7RCS2Q2B6OLUANV","short_pith_number":"pith:PP54FWRA","canonical_record":{"source":{"id":"1509.06589","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-09-22T13:21:08Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"d0400dc207e4350eacb0d49207eec3eb525f4800f8bf4971059badc754a9c4f7","abstract_canon_sha256":"539605801b2061753040b506b416837c7dbe99b510be68e18deae5c285714c8e"},"schema_version":"1.0"},"canonical_sha256":"7bfbc2da209e67f88a5a8683e72e806d40811a73eb449da5bcab0acf2f36d8ca","source":{"kind":"arxiv","id":"1509.06589","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06589","created_at":"2026-05-18T01:32:19Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06589v1","created_at":"2026-05-18T01:32:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06589","created_at":"2026-05-18T01:32:19Z"},{"alias_kind":"pith_short_12","alias_value":"PP54FWRATZT7","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PP54FWRATZT7RCS2","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PP54FWRA","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:PP54FWRATZT7RCS2Q2B6OLUANV","target":"record","payload":{"canonical_record":{"source":{"id":"1509.06589","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-09-22T13:21:08Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"d0400dc207e4350eacb0d49207eec3eb525f4800f8bf4971059badc754a9c4f7","abstract_canon_sha256":"539605801b2061753040b506b416837c7dbe99b510be68e18deae5c285714c8e"},"schema_version":"1.0"},"canonical_sha256":"7bfbc2da209e67f88a5a8683e72e806d40811a73eb449da5bcab0acf2f36d8ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:19.832651Z","signature_b64":"JToD9id4C7b3gp3qGGE7okcFjgSYXFjaQ0+gnpy7YWxqhJWagPSDQlUtjGl5vJ0ATZSIPE3esR+/Vhethz+bBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bfbc2da209e67f88a5a8683e72e806d40811a73eb449da5bcab0acf2f36d8ca","last_reissued_at":"2026-05-18T01:32:19.831939Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:19.831939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.06589","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":"2026-05-18T01:32:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+PL/jtGNl6fs4fAxSqBV6OPKykVj9+bvvBjJqHp90aH9oIzfU65WbrVKMIGmlSeoJYKSWM4sFiHvPorbHsQACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T03:55:12.988119Z"},"content_sha256":"d3a3f5587aee423d93be5cb423fb79e69e384426683c4a7fda218055ac0e5a06","schema_version":"1.0","event_id":"sha256:d3a3f5587aee423d93be5cb423fb79e69e384426683c4a7fda218055ac0e5a06"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:PP54FWRATZT7RCS2Q2B6OLUANV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Graph Kernels exploiting Weisfeiler-Lehman Graph Isomorphism Test Extensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Alessandro Sperduti, Giovanni Da San Martino, Nicol\\`o Navarin","submitted_at":"2015-09-22T13:21:08Z","abstract_excerpt":"In this paper we present a novel graph kernel framework inspired the by the Weisfeiler-Lehman (WL) isomorphism tests. Any WL test comprises a relabelling phase of the nodes based on test-specific information extracted from the graph, for example the set of neighbours of a node. We defined a novel relabelling and derived two kernels of the framework from it. The novel kernels are very fast to compute and achieve state-of-the-art results on five real-world datasets."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06589","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:32:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PTVv7SSuPQU3GY4JcOeJTDIQXEsxWIFpbm8wqoCH/frRwHqG5EGVx4eqROf4gi/qCKixBJdDeKXuxLRMj4RtDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T03:55:12.988556Z"},"content_sha256":"b782060199daa037834cf024dadc14db473e287547a878220322606a458c58f2","schema_version":"1.0","event_id":"sha256:b782060199daa037834cf024dadc14db473e287547a878220322606a458c58f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PP54FWRATZT7RCS2Q2B6OLUANV/bundle.json","state_url":"https://pith.science/pith/PP54FWRATZT7RCS2Q2B6OLUANV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PP54FWRATZT7RCS2Q2B6OLUANV/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":"2026-05-30T03:55:12Z","links":{"resolver":"https://pith.science/pith/PP54FWRATZT7RCS2Q2B6OLUANV","bundle":"https://pith.science/pith/PP54FWRATZT7RCS2Q2B6OLUANV/bundle.json","state":"https://pith.science/pith/PP54FWRATZT7RCS2Q2B6OLUANV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PP54FWRATZT7RCS2Q2B6OLUANV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PP54FWRATZT7RCS2Q2B6OLUANV","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":"539605801b2061753040b506b416837c7dbe99b510be68e18deae5c285714c8e","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-09-22T13:21:08Z","title_canon_sha256":"d0400dc207e4350eacb0d49207eec3eb525f4800f8bf4971059badc754a9c4f7"},"schema_version":"1.0","source":{"id":"1509.06589","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06589","created_at":"2026-05-18T01:32:19Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06589v1","created_at":"2026-05-18T01:32:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06589","created_at":"2026-05-18T01:32:19Z"},{"alias_kind":"pith_short_12","alias_value":"PP54FWRATZT7","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PP54FWRATZT7RCS2","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PP54FWRA","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:b782060199daa037834cf024dadc14db473e287547a878220322606a458c58f2","target":"graph","created_at":"2026-05-18T01:32:19Z","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"},"paper":{"abstract_excerpt":"In this paper we present a novel graph kernel framework inspired the by the Weisfeiler-Lehman (WL) isomorphism tests. Any WL test comprises a relabelling phase of the nodes based on test-specific information extracted from the graph, for example the set of neighbours of a node. We defined a novel relabelling and derived two kernels of the framework from it. The novel kernels are very fast to compute and achieve state-of-the-art results on five real-world datasets.","authors_text":"Alessandro Sperduti, Giovanni Da San Martino, Nicol\\`o Navarin","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-09-22T13:21:08Z","title":"Graph Kernels exploiting Weisfeiler-Lehman Graph Isomorphism Test Extensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06589","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:d3a3f5587aee423d93be5cb423fb79e69e384426683c4a7fda218055ac0e5a06","target":"record","created_at":"2026-05-18T01:32:19Z","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":"539605801b2061753040b506b416837c7dbe99b510be68e18deae5c285714c8e","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-09-22T13:21:08Z","title_canon_sha256":"d0400dc207e4350eacb0d49207eec3eb525f4800f8bf4971059badc754a9c4f7"},"schema_version":"1.0","source":{"id":"1509.06589","kind":"arxiv","version":1}},"canonical_sha256":"7bfbc2da209e67f88a5a8683e72e806d40811a73eb449da5bcab0acf2f36d8ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bfbc2da209e67f88a5a8683e72e806d40811a73eb449da5bcab0acf2f36d8ca","first_computed_at":"2026-05-18T01:32:19.831939Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:19.831939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JToD9id4C7b3gp3qGGE7okcFjgSYXFjaQ0+gnpy7YWxqhJWagPSDQlUtjGl5vJ0ATZSIPE3esR+/Vhethz+bBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:19.832651Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.06589","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3a3f5587aee423d93be5cb423fb79e69e384426683c4a7fda218055ac0e5a06","sha256:b782060199daa037834cf024dadc14db473e287547a878220322606a458c58f2"],"state_sha256":"c4e30be31d569793cdc03222ec4bfa146c6486523e2f589026fecabbbb9bca88"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M7oyA5T0I47pTYZB63nC552f+JFaliHbgqFOeNr2QuJ5mMkxD/EzCJUxylwhQKfj0ZI5ivD+CNHbQOQSzbS9DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T03:55:12.991258Z","bundle_sha256":"7bd41a042d05c8ff3176d3d4e3abe596607a236df32d9075690d6a3a1e1d8e8c"}}