{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VYITAH7V7K4C5VBQEWCIYBVHZS","short_pith_number":"pith:VYITAH7V","canonical_record":{"source":{"id":"1412.3976","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-12-12T12:51:03Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"f8aa8443943a7d7172da473b3cc05604373ba0ba845151478b8a066dcfd1fcd6","abstract_canon_sha256":"7f57c15d35c5d94fadb48d963fe6159bd802003189bfe892f6af0ee5cd31b69f"},"schema_version":"1.0"},"canonical_sha256":"ae11301ff5fab82ed43025848c06a7ccb6395a6e8f6a5b2fcb2d20bfd1f7e10e","source":{"kind":"arxiv","id":"1412.3976","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3976","created_at":"2026-05-18T02:31:28Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3976v1","created_at":"2026-05-18T02:31:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3976","created_at":"2026-05-18T02:31:28Z"},{"alias_kind":"pith_short_12","alias_value":"VYITAH7V7K4C","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VYITAH7V7K4C5VBQ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VYITAH7V","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VYITAH7V7K4C5VBQEWCIYBVHZS","target":"record","payload":{"canonical_record":{"source":{"id":"1412.3976","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-12-12T12:51:03Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"f8aa8443943a7d7172da473b3cc05604373ba0ba845151478b8a066dcfd1fcd6","abstract_canon_sha256":"7f57c15d35c5d94fadb48d963fe6159bd802003189bfe892f6af0ee5cd31b69f"},"schema_version":"1.0"},"canonical_sha256":"ae11301ff5fab82ed43025848c06a7ccb6395a6e8f6a5b2fcb2d20bfd1f7e10e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:28.168728Z","signature_b64":"lcC1OhnKwTsXwGBDvWXqwYJtt+ze9sJp6Ce6juLdns0dmYOLL0kWSbvJ1lCT9Ca4ccndO25Z0ZcEGGCrHvPsAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae11301ff5fab82ed43025848c06a7ccb6395a6e8f6a5b2fcb2d20bfd1f7e10e","last_reissued_at":"2026-05-18T02:31:28.168246Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:28.168246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.3976","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":"2026-05-18T02:31:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z2NkGfQuHa65m7S56sXES1IQ9BO/1qbqgMYxc471BfCTOPKERQL1e/lAvR4j0kvqDCGih/BVpiUUdkp9NqF8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T17:49:31.493436Z"},"content_sha256":"911ab02374116a8a8d66d847ee4979e8ddf9879a92892f96c2508e9b228c7004","schema_version":"1.0","event_id":"sha256:911ab02374116a8a8d66d847ee4979e8ddf9879a92892f96c2508e9b228c7004"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VYITAH7V7K4C5VBQEWCIYBVHZS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reconfiguration of Cliques in a Graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"cs.DS","authors_text":"Hirotaka Ono, Takehiro Ito, Yota Otachi","submitted_at":"2014-12-12T12:51:03Z","abstract_excerpt":"We study reconfiguration problems for cliques in a graph, which determine whether there exists a sequence of cliques that transforms a given clique into another one in a step-by-step fashion. As one step of a transformation, we consider three different types of rules, which are defined and studied in reconfiguration problems for independent sets. We first prove that all the three rules are equivalent in cliques. We then show that the problems are PSPACE-complete for perfect graphs, while we give polynomial-time algorithms for several classes of graphs, such as even-hole-free graphs and cograph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3976","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":"2026-05-18T02:31:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wS5OAnffZYulSVQbFMX4Zt8UkqOURqS+8oGK+oIccPKGvLvalazqwiTJomZFjlhPqFMieOODzJ8ZSmdY2JJwDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T17:49:31.493927Z"},"content_sha256":"882ac9f0a9ba1948b9812b84dd66780d1bd111c516fff968036553c7d5b70f3f","schema_version":"1.0","event_id":"sha256:882ac9f0a9ba1948b9812b84dd66780d1bd111c516fff968036553c7d5b70f3f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VYITAH7V7K4C5VBQEWCIYBVHZS/bundle.json","state_url":"https://pith.science/pith/VYITAH7V7K4C5VBQEWCIYBVHZS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VYITAH7V7K4C5VBQEWCIYBVHZS/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":"2026-05-21T17:49:31Z","links":{"resolver":"https://pith.science/pith/VYITAH7V7K4C5VBQEWCIYBVHZS","bundle":"https://pith.science/pith/VYITAH7V7K4C5VBQEWCIYBVHZS/bundle.json","state":"https://pith.science/pith/VYITAH7V7K4C5VBQEWCIYBVHZS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VYITAH7V7K4C5VBQEWCIYBVHZS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VYITAH7V7K4C5VBQEWCIYBVHZS","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":"7f57c15d35c5d94fadb48d963fe6159bd802003189bfe892f6af0ee5cd31b69f","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-12-12T12:51:03Z","title_canon_sha256":"f8aa8443943a7d7172da473b3cc05604373ba0ba845151478b8a066dcfd1fcd6"},"schema_version":"1.0","source":{"id":"1412.3976","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3976","created_at":"2026-05-18T02:31:28Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3976v1","created_at":"2026-05-18T02:31:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3976","created_at":"2026-05-18T02:31:28Z"},{"alias_kind":"pith_short_12","alias_value":"VYITAH7V7K4C","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VYITAH7V7K4C5VBQ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VYITAH7V","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:882ac9f0a9ba1948b9812b84dd66780d1bd111c516fff968036553c7d5b70f3f","target":"graph","created_at":"2026-05-18T02:31:28Z","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 study reconfiguration problems for cliques in a graph, which determine whether there exists a sequence of cliques that transforms a given clique into another one in a step-by-step fashion. As one step of a transformation, we consider three different types of rules, which are defined and studied in reconfiguration problems for independent sets. We first prove that all the three rules are equivalent in cliques. We then show that the problems are PSPACE-complete for perfect graphs, while we give polynomial-time algorithms for several classes of graphs, such as even-hole-free graphs and cograph","authors_text":"Hirotaka Ono, Takehiro Ito, Yota Otachi","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-12-12T12:51:03Z","title":"Reconfiguration of Cliques in a Graph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3976","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":"sha256:911ab02374116a8a8d66d847ee4979e8ddf9879a92892f96c2508e9b228c7004","target":"record","created_at":"2026-05-18T02:31:28Z","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":"7f57c15d35c5d94fadb48d963fe6159bd802003189bfe892f6af0ee5cd31b69f","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-12-12T12:51:03Z","title_canon_sha256":"f8aa8443943a7d7172da473b3cc05604373ba0ba845151478b8a066dcfd1fcd6"},"schema_version":"1.0","source":{"id":"1412.3976","kind":"arxiv","version":1}},"canonical_sha256":"ae11301ff5fab82ed43025848c06a7ccb6395a6e8f6a5b2fcb2d20bfd1f7e10e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae11301ff5fab82ed43025848c06a7ccb6395a6e8f6a5b2fcb2d20bfd1f7e10e","first_computed_at":"2026-05-18T02:31:28.168246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:28.168246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lcC1OhnKwTsXwGBDvWXqwYJtt+ze9sJp6Ce6juLdns0dmYOLL0kWSbvJ1lCT9Ca4ccndO25Z0ZcEGGCrHvPsAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:28.168728Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.3976","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:911ab02374116a8a8d66d847ee4979e8ddf9879a92892f96c2508e9b228c7004","sha256:882ac9f0a9ba1948b9812b84dd66780d1bd111c516fff968036553c7d5b70f3f"],"state_sha256":"25ad6f1c0ee5c7703bba03f49db723a6050cf3759abebae862e994fed79221ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"czKudneCdBnZlN0a/EheaEVrwfCTOgnw7koo9E7yY2jfStycgngN9AfLa9qc9X2PUeY2HJfJQuUGwjlhdfDRAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T17:49:31.496158Z","bundle_sha256":"8a2dd31004236aff9b9715c9676b6aa41bb1150492acd02f538e86ecd488923e"}}