{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KP5KLCHVFUNAELWNXENKKEU2WP","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":"bb6ec73f9df4e1e6497c24946038b83b52699ac8ee41ef53179b512b9e114baf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-07-13T16:30:01Z","title_canon_sha256":"1118ff4ce932042bac925939a4739a2970e5707bc2c6ba659e6105a92fe10687"},"schema_version":"1.0","source":{"id":"1907.06103","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.06103","created_at":"2026-05-17T23:40:16Z"},{"alias_kind":"arxiv_version","alias_value":"1907.06103v2","created_at":"2026-05-17T23:40:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06103","created_at":"2026-05-17T23:40:16Z"},{"alias_kind":"pith_short_12","alias_value":"KP5KLCHVFUNA","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KP5KLCHVFUNAELWN","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KP5KLCHV","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:3b5ea01495daab227b5c6520c35192d6540ac948f24056d75fd9bbef72f0c638","target":"graph","created_at":"2026-05-17T23:40:16Z","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":"Recent results about sums of cubes of Fibonacci numbers [Frontczak, 2018] are extended to arbitrary powers.","authors_text":"Helmut Prodinger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-07-13T16:30:01Z","title":"Sums of powers over equally spaced Fibonacci numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06103","kind":"arxiv","version":2},"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":"sha256:1fa4c9f2398511cb1bb17a9f6a83e6487d775f945b8eff63fffc24abc66ca7b8","target":"record","created_at":"2026-05-17T23:40:16Z","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":"bb6ec73f9df4e1e6497c24946038b83b52699ac8ee41ef53179b512b9e114baf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-07-13T16:30:01Z","title_canon_sha256":"1118ff4ce932042bac925939a4739a2970e5707bc2c6ba659e6105a92fe10687"},"schema_version":"1.0","source":{"id":"1907.06103","kind":"arxiv","version":2}},"canonical_sha256":"53faa588f52d1a022ecdb91aa5129ab3d6d0fc48b4da5f5a8991e31415288c21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53faa588f52d1a022ecdb91aa5129ab3d6d0fc48b4da5f5a8991e31415288c21","first_computed_at":"2026-05-17T23:40:16.948279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:16.948279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qxwYcqWIk8abieiDLYDBYx3XUZPok2+nDy+UtiYwhLdypQzkNHbqmSCdI2W4uDw8y3yKST6NxnsOjIGUz4mTAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:16.948817Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.06103","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fa4c9f2398511cb1bb17a9f6a83e6487d775f945b8eff63fffc24abc66ca7b8","sha256:3b5ea01495daab227b5c6520c35192d6540ac948f24056d75fd9bbef72f0c638"],"state_sha256":"0770660a0eb38d48855946e7b1f1fc2a11d9607084e68309b19a7ac0a14bde5a"}