{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:H4ZCBUDJJHR5SXXM3CBMHLAYLU","short_pith_number":"pith:H4ZCBUDJ","canonical_record":{"source":{"id":"1305.0757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-05-03T15:51:15Z","cross_cats_sorted":["cs.SI","physics.soc-ph"],"title_canon_sha256":"7d85b7f3aef853e02226630357bd1a5695206876a121595ddb9301ccf1249374","abstract_canon_sha256":"4bd2984ca41f231713720718ad4e3ea2799a4cc385b61d88da981c95f16f5d37"},"schema_version":"1.0"},"canonical_sha256":"3f3220d06949e3d95eecd882c3ac185d3c74ae4070624665694928373e82c837","source":{"kind":"arxiv","id":"1305.0757","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0757","created_at":"2026-05-18T03:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0757v1","created_at":"2026-05-18T03:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0757","created_at":"2026-05-18T03:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"H4ZCBUDJJHR5","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"H4ZCBUDJJHR5SXXM","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"H4ZCBUDJ","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:H4ZCBUDJJHR5SXXM3CBMHLAYLU","target":"record","payload":{"canonical_record":{"source":{"id":"1305.0757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-05-03T15:51:15Z","cross_cats_sorted":["cs.SI","physics.soc-ph"],"title_canon_sha256":"7d85b7f3aef853e02226630357bd1a5695206876a121595ddb9301ccf1249374","abstract_canon_sha256":"4bd2984ca41f231713720718ad4e3ea2799a4cc385b61d88da981c95f16f5d37"},"schema_version":"1.0"},"canonical_sha256":"3f3220d06949e3d95eecd882c3ac185d3c74ae4070624665694928373e82c837","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:32.937407Z","signature_b64":"5UCW0GIwy7+au98enpMRLkc+1ZRdH9mCHkB5mgT5m16WQP8hOfFWewXbS0HBUbgo8gFrqw7Gdlz74khaaUKiBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f3220d06949e3d95eecd882c3ac185d3c74ae4070624665694928373e82c837","last_reissued_at":"2026-05-18T03:26:32.936962Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:32.936962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.0757","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":"2026-05-18T03:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"btzX8e5oGYDa/St37vKrTg0kiM9IGbFhQf2FFN7qt3cdbSxKjya9nVnTsGVUoHfEjARvX1Q+2SmaxtR2fYVhCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:15:19.161007Z"},"content_sha256":"1e5d626955de64c5369d62792b61184bfb25779c8c4a807b7ead8b4e908fb0d8","schema_version":"1.0","event_id":"sha256:1e5d626955de64c5369d62792b61184bfb25779c8c4a807b7ead8b4e908fb0d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:H4ZCBUDJJHR5SXXM3CBMHLAYLU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hierarchies of Predominantly Connected Communities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","physics.soc-ph"],"primary_cat":"cs.DS","authors_text":"Dorothea Wagner, Michael Hamann, Tanja Hartmann","submitted_at":"2013-05-03T15:51:15Z","abstract_excerpt":"We consider communities whose vertices are predominantly connected, i.e., the vertices in each community are stronger connected to other community members of the same community than to vertices outside the community. Flake et al. introduced a hierarchical clustering algorithm that finds such predominantly connected communities of different coarseness depending on an input parameter. We present a simple and efficient method for constructing a clustering hierarchy according to Flake et al. that supersedes the necessity of choosing feasible parameter values and guarantees the completeness of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0757","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":"2026-05-18T03:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XcYD5L9ZIiLEpNqW229BL/xWli2NG6dKLUxABkJyo1xtsRqvk1pp6iTcW5Uqg3RNKqUHosDL5cqKrDXdV6fZDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:15:19.161619Z"},"content_sha256":"59c2681d3bb448c96fc53752c17cf73046bc3fd0d76be1a1c71866d29d4a9f11","schema_version":"1.0","event_id":"sha256:59c2681d3bb448c96fc53752c17cf73046bc3fd0d76be1a1c71866d29d4a9f11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H4ZCBUDJJHR5SXXM3CBMHLAYLU/bundle.json","state_url":"https://pith.science/pith/H4ZCBUDJJHR5SXXM3CBMHLAYLU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H4ZCBUDJJHR5SXXM3CBMHLAYLU/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":"2026-05-26T18:15:19Z","links":{"resolver":"https://pith.science/pith/H4ZCBUDJJHR5SXXM3CBMHLAYLU","bundle":"https://pith.science/pith/H4ZCBUDJJHR5SXXM3CBMHLAYLU/bundle.json","state":"https://pith.science/pith/H4ZCBUDJJHR5SXXM3CBMHLAYLU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H4ZCBUDJJHR5SXXM3CBMHLAYLU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:H4ZCBUDJJHR5SXXM3CBMHLAYLU","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":"4bd2984ca41f231713720718ad4e3ea2799a4cc385b61d88da981c95f16f5d37","cross_cats_sorted":["cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-05-03T15:51:15Z","title_canon_sha256":"7d85b7f3aef853e02226630357bd1a5695206876a121595ddb9301ccf1249374"},"schema_version":"1.0","source":{"id":"1305.0757","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0757","created_at":"2026-05-18T03:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0757v1","created_at":"2026-05-18T03:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0757","created_at":"2026-05-18T03:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"H4ZCBUDJJHR5","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"H4ZCBUDJJHR5SXXM","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"H4ZCBUDJ","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:59c2681d3bb448c96fc53752c17cf73046bc3fd0d76be1a1c71866d29d4a9f11","target":"graph","created_at":"2026-05-18T03:26:32Z","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":"We consider communities whose vertices are predominantly connected, i.e., the vertices in each community are stronger connected to other community members of the same community than to vertices outside the community. Flake et al. introduced a hierarchical clustering algorithm that finds such predominantly connected communities of different coarseness depending on an input parameter. We present a simple and efficient method for constructing a clustering hierarchy according to Flake et al. that supersedes the necessity of choosing feasible parameter values and guarantees the completeness of the ","authors_text":"Dorothea Wagner, Michael Hamann, Tanja Hartmann","cross_cats":["cs.SI","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-05-03T15:51:15Z","title":"Hierarchies of Predominantly Connected Communities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0757","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":"sha256:1e5d626955de64c5369d62792b61184bfb25779c8c4a807b7ead8b4e908fb0d8","target":"record","created_at":"2026-05-18T03:26:32Z","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":"4bd2984ca41f231713720718ad4e3ea2799a4cc385b61d88da981c95f16f5d37","cross_cats_sorted":["cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-05-03T15:51:15Z","title_canon_sha256":"7d85b7f3aef853e02226630357bd1a5695206876a121595ddb9301ccf1249374"},"schema_version":"1.0","source":{"id":"1305.0757","kind":"arxiv","version":1}},"canonical_sha256":"3f3220d06949e3d95eecd882c3ac185d3c74ae4070624665694928373e82c837","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f3220d06949e3d95eecd882c3ac185d3c74ae4070624665694928373e82c837","first_computed_at":"2026-05-18T03:26:32.936962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:32.936962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5UCW0GIwy7+au98enpMRLkc+1ZRdH9mCHkB5mgT5m16WQP8hOfFWewXbS0HBUbgo8gFrqw7Gdlz74khaaUKiBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:32.937407Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0757","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e5d626955de64c5369d62792b61184bfb25779c8c4a807b7ead8b4e908fb0d8","sha256:59c2681d3bb448c96fc53752c17cf73046bc3fd0d76be1a1c71866d29d4a9f11"],"state_sha256":"4383fae47031bba3f2bab8e5a5e243a09a38c21309c86619eaa59051ff99ef7c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"quBBc0Pe6hQPq7oY6xE2U1XL3lQrK3mJgrKEX3RmNW0EDHlmDjoXC5tdXB11AbePv6ghQ82C9yH7flExol6DAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T18:15:19.164843Z","bundle_sha256":"abe4ba8976da35a93ae7da9ef93feaaf42833e1d126411d82d9b95a52c4904ec"}}