{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7MVT7KILSGI6IKKQSVT35ASIJV","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":"7d62cd638507163551d112dc1e0f79cbebc12b342626538c451a91aefdb75452","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-12-18T12:02:24Z","title_canon_sha256":"b3a6bf49c6f1349ac6e1e513d3de3f5076f9311fea3698fbcc2db8208a72ec7d"},"schema_version":"1.0","source":{"id":"1712.06354","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.06354","created_at":"2026-05-18T00:27:50Z"},{"alias_kind":"arxiv_version","alias_value":"1712.06354v1","created_at":"2026-05-18T00:27:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06354","created_at":"2026-05-18T00:27:50Z"},{"alias_kind":"pith_short_12","alias_value":"7MVT7KILSGI6","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7MVT7KILSGI6IKKQ","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7MVT7KIL","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:5731d11604b81c5a7ad5e9dc4624367c07616842f8dabce190b2580abcb28568","target":"graph","created_at":"2026-05-18T00:27:50Z","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":"This paper explains the perfect characterization of the generalized Bethe trees by analyzing the spectrum of its transition matrix.","authors_text":"E. Segawa, S. Kubota, T. Taniguchi, Y. Yoshie","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-12-18T12:02:24Z","title":"Periodicity of Grover walks on generalized Bethe trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06354","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":"sha256:037a4dae7ef05795cebd900271b382a9145e730a3de73dc69266a1f882c4134f","target":"record","created_at":"2026-05-18T00:27:50Z","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":"7d62cd638507163551d112dc1e0f79cbebc12b342626538c451a91aefdb75452","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-12-18T12:02:24Z","title_canon_sha256":"b3a6bf49c6f1349ac6e1e513d3de3f5076f9311fea3698fbcc2db8208a72ec7d"},"schema_version":"1.0","source":{"id":"1712.06354","kind":"arxiv","version":1}},"canonical_sha256":"fb2b3fa90b9191e429509567be82484d78f2baff1ee00cdbf933d8afb5140666","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb2b3fa90b9191e429509567be82484d78f2baff1ee00cdbf933d8afb5140666","first_computed_at":"2026-05-18T00:27:50.578270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:50.578270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FocinN/7BahkNDq9C+pwmGXOX6o3+vvNQRtD1TH4vl91yzlvGEqMWH4xOKaIdaUdb//o33wUOI6nMm2WGtcqDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:50.578773Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.06354","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:037a4dae7ef05795cebd900271b382a9145e730a3de73dc69266a1f882c4134f","sha256:5731d11604b81c5a7ad5e9dc4624367c07616842f8dabce190b2580abcb28568"],"state_sha256":"25f4d19e6c4a32bd4d2eeab81f9b6811bdcec01fe12cb194433434a8011d7212"}