{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GYXINTEUMPY5N7FPKW7CUUTXZK","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":"40d9488a658fb109553b60d49ce4feed59603b3f49e8a913e413c0f52f7322c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-03-29T21:22:55Z","title_canon_sha256":"7e96958ef4bc7ff446bc8ba73732cdfa3b832383529d3096e480044bce8441ef"},"schema_version":"1.0","source":{"id":"1403.7670","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7670","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7670v1","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7670","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"pith_short_12","alias_value":"GYXINTEUMPY5","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GYXINTEUMPY5N7FP","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GYXINTEU","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:66a898b4035eb121facd8fe09ae5f8e5bb777286bb0da4134fd527c776774210","target":"graph","created_at":"2026-05-18T02:55:12Z","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 is {\\it square-complementary} ({\\it squco}, for short) if its square and complement are isomorphic. We prove that there is no squco graph of girth $6$, thus answersing a question asked by Milani\\vc et al. [Discrete Math., 2014, to appear], and leaving $g = 5$ as the only possible value of $g$ for which the existence of a squco graph of girth $g$ is unknown.","authors_text":"Ratko Darda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-03-29T21:22:55Z","title":"There is no square-complementary graph of girth 6"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7670","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":"sha256:382c1e5a4748e808803b168ba799d715559387d18515b49050808d6a938ea531","target":"record","created_at":"2026-05-18T02:55:12Z","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":"40d9488a658fb109553b60d49ce4feed59603b3f49e8a913e413c0f52f7322c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-03-29T21:22:55Z","title_canon_sha256":"7e96958ef4bc7ff446bc8ba73732cdfa3b832383529d3096e480044bce8441ef"},"schema_version":"1.0","source":{"id":"1403.7670","kind":"arxiv","version":1}},"canonical_sha256":"362e86cc9463f1d6fcaf55be2a5277ca96607b70cfa4a5189e72ec3fe146d054","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"362e86cc9463f1d6fcaf55be2a5277ca96607b70cfa4a5189e72ec3fe146d054","first_computed_at":"2026-05-18T02:55:12.716508Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:12.716508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q2xAkczSn3ge/B7mgL4P28LsEr3c3JwqPcVIlb07eoBHWS70ym6eUalgRiRjbzAC43DsD8NwK55joTZH5EErBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:12.716952Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7670","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:382c1e5a4748e808803b168ba799d715559387d18515b49050808d6a938ea531","sha256:66a898b4035eb121facd8fe09ae5f8e5bb777286bb0da4134fd527c776774210"],"state_sha256":"e399000b7af81802a8ffbc38d25a341f9250d4128f773c9e731e6810f2d7f7de"}