{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:6RITTT4UXQ3AXKKZ2ONR7FXQKS","short_pith_number":"pith:6RITTT4U","canonical_record":{"source":{"id":"1702.07914","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-02-25T16:08:26Z","cross_cats_sorted":[],"title_canon_sha256":"a75f7ac76454cdb0acddff09b7e7cc6dccf157f320345c83212217d8f38b274d","abstract_canon_sha256":"41fa7af0527eb3182bff4a3c618db964ea40a343075b108582cacff4d6cd11ee"},"schema_version":"1.0"},"canonical_sha256":"f45139cf94bc360ba959d39b1f96f0549d21927a596cc3bdea53e3a2b0425c2e","source":{"kind":"arxiv","id":"1702.07914","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07914","created_at":"2026-05-18T00:45:29Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07914v3","created_at":"2026-05-18T00:45:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07914","created_at":"2026-05-18T00:45:29Z"},{"alias_kind":"pith_short_12","alias_value":"6RITTT4UXQ3A","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6RITTT4UXQ3AXKKZ","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6RITTT4U","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:6RITTT4UXQ3AXKKZ2ONR7FXQKS","target":"record","payload":{"canonical_record":{"source":{"id":"1702.07914","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-02-25T16:08:26Z","cross_cats_sorted":[],"title_canon_sha256":"a75f7ac76454cdb0acddff09b7e7cc6dccf157f320345c83212217d8f38b274d","abstract_canon_sha256":"41fa7af0527eb3182bff4a3c618db964ea40a343075b108582cacff4d6cd11ee"},"schema_version":"1.0"},"canonical_sha256":"f45139cf94bc360ba959d39b1f96f0549d21927a596cc3bdea53e3a2b0425c2e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:29.990653Z","signature_b64":"MM9zIaIHp25XyR4WWc8G0TFQrB7pBO2FyiQZjFIRAcErUuRrKnRdy9oB82ARssdnB/GW0xtBXVQy7BSnMrDQDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f45139cf94bc360ba959d39b1f96f0549d21927a596cc3bdea53e3a2b0425c2e","last_reissued_at":"2026-05-18T00:45:29.990288Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:29.990288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.07914","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A2R/Yan8gw5ySvfD+z7Kvd43wby5YWrWCRQSTgglMGy4CF8IWJxgjlfoZ3EGd32WjVUD4qV7hv+NcnOex9EkCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:17:39.328838Z"},"content_sha256":"e3ed8a16584cb31f7e8d3fe341d1cfc348454e416c4e78764b305ea86e6628a0","schema_version":"1.0","event_id":"sha256:e3ed8a16584cb31f7e8d3fe341d1cfc348454e416c4e78764b305ea86e6628a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:6RITTT4UXQ3AXKKZ2ONR7FXQKS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Chordal-$k$-Generalized Split Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DM","authors_text":"Andreas Brandst\\\"adt, Raffaele Mosca","submitted_at":"2017-02-25T16:08:26Z","abstract_excerpt":"A graph $G$ is a {\\em chordal-$k$-generalized split graph} if $G$ is chordal and there is a clique $Q$ in $G$ such that every connected component in $G[V \\setminus Q]$ has at most $k$ vertices. Thus, chordal-$1$-generalized split graphs are exactly the split graphs.\n  We characterize chordal-$k$-generalized split graphs by forbidden induced subgraphs. Moreover, we characterize a very special case of chordal-$2$-generalized split graphs for which the Efficient Domination problem is \\NP-complete."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07914","kind":"arxiv","version":3},"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":"2026-05-18T00:45:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s5qqjDrozxA6G30MK43gmTb9kpA0a3avfnjCCILLNmaz7MV0eBbebrrIdDk/EhYhJbYhKDRRDSB5D6crrIDlAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:17:39.329183Z"},"content_sha256":"80e98142b7164b1e66df99e8654609a7ca1da55caa6c164ee7fcea4061a9fd07","schema_version":"1.0","event_id":"sha256:80e98142b7164b1e66df99e8654609a7ca1da55caa6c164ee7fcea4061a9fd07"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6RITTT4UXQ3AXKKZ2ONR7FXQKS/bundle.json","state_url":"https://pith.science/pith/6RITTT4UXQ3AXKKZ2ONR7FXQKS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6RITTT4UXQ3AXKKZ2ONR7FXQKS/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":"2026-06-04T19:17:39Z","links":{"resolver":"https://pith.science/pith/6RITTT4UXQ3AXKKZ2ONR7FXQKS","bundle":"https://pith.science/pith/6RITTT4UXQ3AXKKZ2ONR7FXQKS/bundle.json","state":"https://pith.science/pith/6RITTT4UXQ3AXKKZ2ONR7FXQKS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6RITTT4UXQ3AXKKZ2ONR7FXQKS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6RITTT4UXQ3AXKKZ2ONR7FXQKS","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":"41fa7af0527eb3182bff4a3c618db964ea40a343075b108582cacff4d6cd11ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-02-25T16:08:26Z","title_canon_sha256":"a75f7ac76454cdb0acddff09b7e7cc6dccf157f320345c83212217d8f38b274d"},"schema_version":"1.0","source":{"id":"1702.07914","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07914","created_at":"2026-05-18T00:45:29Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07914v3","created_at":"2026-05-18T00:45:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07914","created_at":"2026-05-18T00:45:29Z"},{"alias_kind":"pith_short_12","alias_value":"6RITTT4UXQ3A","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6RITTT4UXQ3AXKKZ","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6RITTT4U","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:80e98142b7164b1e66df99e8654609a7ca1da55caa6c164ee7fcea4061a9fd07","target":"graph","created_at":"2026-05-18T00:45:29Z","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":"A graph $G$ is a {\\em chordal-$k$-generalized split graph} if $G$ is chordal and there is a clique $Q$ in $G$ such that every connected component in $G[V \\setminus Q]$ has at most $k$ vertices. Thus, chordal-$1$-generalized split graphs are exactly the split graphs.\n  We characterize chordal-$k$-generalized split graphs by forbidden induced subgraphs. Moreover, we characterize a very special case of chordal-$2$-generalized split graphs for which the Efficient Domination problem is \\NP-complete.","authors_text":"Andreas Brandst\\\"adt, Raffaele Mosca","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-02-25T16:08:26Z","title":"On Chordal-$k$-Generalized Split Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07914","kind":"arxiv","version":3},"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:e3ed8a16584cb31f7e8d3fe341d1cfc348454e416c4e78764b305ea86e6628a0","target":"record","created_at":"2026-05-18T00:45:29Z","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":"41fa7af0527eb3182bff4a3c618db964ea40a343075b108582cacff4d6cd11ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-02-25T16:08:26Z","title_canon_sha256":"a75f7ac76454cdb0acddff09b7e7cc6dccf157f320345c83212217d8f38b274d"},"schema_version":"1.0","source":{"id":"1702.07914","kind":"arxiv","version":3}},"canonical_sha256":"f45139cf94bc360ba959d39b1f96f0549d21927a596cc3bdea53e3a2b0425c2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f45139cf94bc360ba959d39b1f96f0549d21927a596cc3bdea53e3a2b0425c2e","first_computed_at":"2026-05-18T00:45:29.990288Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:29.990288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MM9zIaIHp25XyR4WWc8G0TFQrB7pBO2FyiQZjFIRAcErUuRrKnRdy9oB82ARssdnB/GW0xtBXVQy7BSnMrDQDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:29.990653Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07914","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3ed8a16584cb31f7e8d3fe341d1cfc348454e416c4e78764b305ea86e6628a0","sha256:80e98142b7164b1e66df99e8654609a7ca1da55caa6c164ee7fcea4061a9fd07"],"state_sha256":"f654996e79c89029cf9f6a38cdd18eb8463a8cd3e160310eeb7e82e4623e21b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JpPTkJMmrQxEBp6oT8F0pzxeZiq8LXeNZWZe8kUR0nllp1z2qo5kM5EzA9YE7hRKz2ojRJF0Rotz5iWHrByoDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T19:17:39.331380Z","bundle_sha256":"a1fd8e811eca635351f7354fc8d6f0e2ab9c9189a70e9970e51bc72df58e623a"}}