{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LHA5LCCUICQ3WCUGHNG6EMFXHR","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":"589fbafd7b3d2b5327527529624cf8a8922624d5723dfacba0c689d6132f49b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-06-04T20:56:57Z","title_canon_sha256":"8dc1beecae28653db6e048c5da0d390e1b5f267d37a1044a00d94956fc71ac02"},"schema_version":"1.0","source":{"id":"1906.01723","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.01723","created_at":"2026-05-17T23:44:06Z"},{"alias_kind":"arxiv_version","alias_value":"1906.01723v1","created_at":"2026-05-17T23:44:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.01723","created_at":"2026-05-17T23:44:06Z"},{"alias_kind":"pith_short_12","alias_value":"LHA5LCCUICQ3","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"LHA5LCCUICQ3WCUG","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"LHA5LCCU","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:07baa20a39f865b980d1ec4312c95558d95fbb25aeff7d2368c9825bdf5f7ae1","target":"graph","created_at":"2026-05-17T23:44:06Z","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":"It is shown that for any choice of four different vertices x_1,...,x_4 in a 2-block G of order p>3, there is a hamiltonian cycle in G^2 containing four different edges x_iy_i of E(G) for certain vertices y_i, i=1,2,3,4. This result is best possible.","authors_text":"Herbert Fleischner, Jan Ekstein","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-06-04T20:56:57Z","title":"A Best Possible Result for the Square of a 2-Block to be Hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.01723","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":"sha256:15a240fb08fc7923a6f8d6d077a17e50e989aab31ce66a6f1bb6782cce281dd1","target":"record","created_at":"2026-05-17T23:44:06Z","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":"589fbafd7b3d2b5327527529624cf8a8922624d5723dfacba0c689d6132f49b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-06-04T20:56:57Z","title_canon_sha256":"8dc1beecae28653db6e048c5da0d390e1b5f267d37a1044a00d94956fc71ac02"},"schema_version":"1.0","source":{"id":"1906.01723","kind":"arxiv","version":1}},"canonical_sha256":"59c1d5885440a1bb0a863b4de230b73c70f943ed98fbc1cdf060b18888df429d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59c1d5885440a1bb0a863b4de230b73c70f943ed98fbc1cdf060b18888df429d","first_computed_at":"2026-05-17T23:44:06.451429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:06.451429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lu7+rIGo0Fzy//6kw2lt/gy6kMtQ/dAA9qCFuowQvQxdRX540f0KAA3c5S5tBubr9qaX+ijjPdiOoimaM10uCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:06.451988Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.01723","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15a240fb08fc7923a6f8d6d077a17e50e989aab31ce66a6f1bb6782cce281dd1","sha256:07baa20a39f865b980d1ec4312c95558d95fbb25aeff7d2368c9825bdf5f7ae1"],"state_sha256":"3b1a6ff5e2e799f5c29e40c1570be1d2682011d98eca3c5723895915febf0c0e"}