{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VBCILLMAE2FLGDCYNJGT43EBTW","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":"3845b3c023e08f36d1205e56f06ac0bd5d9244e10c3f300cd5f449c7a269593f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-20T10:00:13Z","title_canon_sha256":"aa4e0a9f789a5b8dab888a61df7df7fdb4955576a025d9beafbb19ee304d401a"},"schema_version":"1.0","source":{"id":"1402.4944","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4944","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4944v1","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4944","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"pith_short_12","alias_value":"VBCILLMAE2FL","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VBCILLMAE2FLGDCY","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VBCILLMA","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:fe86da3f810b37f79510cf0da989297a616dc31ad91004b62eb794ce181383e9","target":"graph","created_at":"2026-05-18T02:58:31Z","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 digraph X=(V, E) is max-\\lambda, if \\lambda(X)=\\delta(X). A digraph X is super-\\lambda if every minimum cut of X is either the set of inarcs of some vertex or the set of outarcs of some vertex. In this paper, we will prove that for all but a few exceptions, the strongly connected mixed Cayley digraphs are max-\\lambda and super-\\lambda.","authors_text":"Jixiang Meng, Yuhu Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-20T10:00:13Z","title":"Arc-connectivity and super arc-connectivity of mixed Cayley digraph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4944","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":"sha256:2aaa2d85e429fb6de4037002de57860cb9f3bfb485f05fb2de1ef241a803f486","target":"record","created_at":"2026-05-18T02:58:31Z","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":"3845b3c023e08f36d1205e56f06ac0bd5d9244e10c3f300cd5f449c7a269593f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-20T10:00:13Z","title_canon_sha256":"aa4e0a9f789a5b8dab888a61df7df7fdb4955576a025d9beafbb19ee304d401a"},"schema_version":"1.0","source":{"id":"1402.4944","kind":"arxiv","version":1}},"canonical_sha256":"a84485ad80268ab30c586a4d3e6c819dbfb22075807e91cba2bd0e4923de1e3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a84485ad80268ab30c586a4d3e6c819dbfb22075807e91cba2bd0e4923de1e3f","first_computed_at":"2026-05-18T02:58:31.573544Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:31.573544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O2cVaVzg/U3jAdk5TElZraSXsYTy1m2Q9ScEonTmwFENozfnoyRiXLsRZTtw13eTn9DZNWsUDQRTBYbEdpLVAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:31.574153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4944","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2aaa2d85e429fb6de4037002de57860cb9f3bfb485f05fb2de1ef241a803f486","sha256:fe86da3f810b37f79510cf0da989297a616dc31ad91004b62eb794ce181383e9"],"state_sha256":"4b0c81600b8b29ad15f6a88185fc019c34447ef1dff0154096b5131e5fc46d82"}