{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:W5YAORKF2T2SZCFIWZNDJEHHEO","short_pith_number":"pith:W5YAORKF","canonical_record":{"source":{"id":"1508.07557","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-08-30T11:46:18Z","cross_cats_sorted":["cs.CG","cs.DM"],"title_canon_sha256":"8c78bc9bff2ce14e3cced2d9a470d051e1db41745d5b1d51a98b6f870506d2b6","abstract_canon_sha256":"21cf80397e88b481f44b9a8c36af4829f5c4aeaecf06703be010e97e9764ee46"},"schema_version":"1.0"},"canonical_sha256":"b770074545d4f52c88a8b65a3490e7238ca68807a507c5cc5aad4f1699f0ff15","source":{"kind":"arxiv","id":"1508.07557","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07557","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07557v1","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07557","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"pith_short_12","alias_value":"W5YAORKF2T2S","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"W5YAORKF2T2SZCFI","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"W5YAORKF","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:W5YAORKF2T2SZCFIWZNDJEHHEO","target":"record","payload":{"canonical_record":{"source":{"id":"1508.07557","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-08-30T11:46:18Z","cross_cats_sorted":["cs.CG","cs.DM"],"title_canon_sha256":"8c78bc9bff2ce14e3cced2d9a470d051e1db41745d5b1d51a98b6f870506d2b6","abstract_canon_sha256":"21cf80397e88b481f44b9a8c36af4829f5c4aeaecf06703be010e97e9764ee46"},"schema_version":"1.0"},"canonical_sha256":"b770074545d4f52c88a8b65a3490e7238ca68807a507c5cc5aad4f1699f0ff15","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:32.012709Z","signature_b64":"t9E630QPgluh2s4iZXFx5NxRivi+NZQY1W93YK077UTAn8v42SG/A5CCrNhmFgB+mYK0CTe6FaVtuIBR3tMUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b770074545d4f52c88a8b65a3490e7238ca68807a507c5cc5aad4f1699f0ff15","last_reissued_at":"2026-05-18T01:34:32.012108Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:32.012108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.07557","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":"2026-05-18T01:34:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+oU3yewFDk4TIu0nFlzm+Suq3T3qTvh+yjpFYdyESHMBxjZFIyNF7zJqU1AvGHdmFGg7hPyPvlhp5n1r0WrLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:04:50.879575Z"},"content_sha256":"123eb8f36e05c147a73746c020bbbee7e39479cadb87d54bdd10d8dfad204518","schema_version":"1.0","event_id":"sha256:123eb8f36e05c147a73746c020bbbee7e39479cadb87d54bdd10d8dfad204518"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:W5YAORKF2T2SZCFIWZNDJEHHEO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Intersection-Link Representations of Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CG","cs.DM"],"primary_cat":"cs.DS","authors_text":"Fabrizio Frati, Giordano Da Lozzo, Giuseppe Di Battista, Ignaz Rutter, Maurizio Patrignani, Patrizio Angelini","submitted_at":"2015-08-30T11:46:18Z","abstract_excerpt":"We consider drawings of graphs that contain dense subgraphs. We introduce intersection-link representations for such graphs, in which each vertex $u$ is represented by a geometric object $R(u)$ and in which each edge $(u,v)$ is represented by the intersection between $R(u)$ and $R(v)$ if it belongs to a dense subgraph or by a curve connecting the boundaries of $R(u)$ and $R(v)$ otherwise. We study a notion of planarity, called Clique Planarity, for intersection-link representations of graphs in which the dense subgraphs are cliques."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07557","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":"2026-05-18T01:34:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AJ+8AN8AhSxBuPi3OW2DWdHztexT6MBq+fNIthrAv7NwkoWMG7/SAI0XOLNfXmvSVMcE1srcYPchV5LWZuvlAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:04:50.879923Z"},"content_sha256":"4dd929c566c768d81d0d502ca978fe55b99720534e3ba6403e2f7af9bdb4449e","schema_version":"1.0","event_id":"sha256:4dd929c566c768d81d0d502ca978fe55b99720534e3ba6403e2f7af9bdb4449e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W5YAORKF2T2SZCFIWZNDJEHHEO/bundle.json","state_url":"https://pith.science/pith/W5YAORKF2T2SZCFIWZNDJEHHEO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W5YAORKF2T2SZCFIWZNDJEHHEO/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":"2026-05-30T05:04:50Z","links":{"resolver":"https://pith.science/pith/W5YAORKF2T2SZCFIWZNDJEHHEO","bundle":"https://pith.science/pith/W5YAORKF2T2SZCFIWZNDJEHHEO/bundle.json","state":"https://pith.science/pith/W5YAORKF2T2SZCFIWZNDJEHHEO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W5YAORKF2T2SZCFIWZNDJEHHEO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:W5YAORKF2T2SZCFIWZNDJEHHEO","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":"21cf80397e88b481f44b9a8c36af4829f5c4aeaecf06703be010e97e9764ee46","cross_cats_sorted":["cs.CG","cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-08-30T11:46:18Z","title_canon_sha256":"8c78bc9bff2ce14e3cced2d9a470d051e1db41745d5b1d51a98b6f870506d2b6"},"schema_version":"1.0","source":{"id":"1508.07557","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07557","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07557v1","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07557","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"pith_short_12","alias_value":"W5YAORKF2T2S","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"W5YAORKF2T2SZCFI","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"W5YAORKF","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:4dd929c566c768d81d0d502ca978fe55b99720534e3ba6403e2f7af9bdb4449e","target":"graph","created_at":"2026-05-18T01:34:32Z","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 drawings of graphs that contain dense subgraphs. We introduce intersection-link representations for such graphs, in which each vertex $u$ is represented by a geometric object $R(u)$ and in which each edge $(u,v)$ is represented by the intersection between $R(u)$ and $R(v)$ if it belongs to a dense subgraph or by a curve connecting the boundaries of $R(u)$ and $R(v)$ otherwise. We study a notion of planarity, called Clique Planarity, for intersection-link representations of graphs in which the dense subgraphs are cliques.","authors_text":"Fabrizio Frati, Giordano Da Lozzo, Giuseppe Di Battista, Ignaz Rutter, Maurizio Patrignani, Patrizio Angelini","cross_cats":["cs.CG","cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-08-30T11:46:18Z","title":"Intersection-Link Representations of Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07557","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":"sha256:123eb8f36e05c147a73746c020bbbee7e39479cadb87d54bdd10d8dfad204518","target":"record","created_at":"2026-05-18T01:34:32Z","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":"21cf80397e88b481f44b9a8c36af4829f5c4aeaecf06703be010e97e9764ee46","cross_cats_sorted":["cs.CG","cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-08-30T11:46:18Z","title_canon_sha256":"8c78bc9bff2ce14e3cced2d9a470d051e1db41745d5b1d51a98b6f870506d2b6"},"schema_version":"1.0","source":{"id":"1508.07557","kind":"arxiv","version":1}},"canonical_sha256":"b770074545d4f52c88a8b65a3490e7238ca68807a507c5cc5aad4f1699f0ff15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b770074545d4f52c88a8b65a3490e7238ca68807a507c5cc5aad4f1699f0ff15","first_computed_at":"2026-05-18T01:34:32.012108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:32.012108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t9E630QPgluh2s4iZXFx5NxRivi+NZQY1W93YK077UTAn8v42SG/A5CCrNhmFgB+mYK0CTe6FaVtuIBR3tMUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:32.012709Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.07557","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:123eb8f36e05c147a73746c020bbbee7e39479cadb87d54bdd10d8dfad204518","sha256:4dd929c566c768d81d0d502ca978fe55b99720534e3ba6403e2f7af9bdb4449e"],"state_sha256":"a7269c8869f79d21ef89885d111ced23b9ddad663e9d19cf99a4da45dc5c56b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OxrCqrdbEfciVi6n34ElgE0b5oyfqikO9YQYi8zjU+m/uxGVvD2IOlsLtYT77f6fQaiGxgclu/kkD4fiSumgCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T05:04:50.882113Z","bundle_sha256":"14f7c69783d352143d69fbe24fc392697c2d71ce09561e900305cd5ee2fbe72a"}}