{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DXZSIAYKZLP7WPBUCLDOAZQE5Z","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":"b08cf8e60327d9d296b0e0b5dd3f3c00faf844a0cf8c004dafa5a83552520324","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-07-31T05:31:46Z","title_canon_sha256":"1bbd4c3232c17e17be89cce3b31fa509317d70538a23d7b65d565a65426a047d"},"schema_version":"1.0","source":{"id":"1008.0052","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0052","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0052v2","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0052","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"pith_short_12","alias_value":"DXZSIAYKZLP7","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DXZSIAYKZLP7WPBU","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DXZSIAYK","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:679fd9b66da2bd6c97497eb2b70f1bdfadc258c254a9b20f1e20327d397824d2","target":"graph","created_at":"2026-05-18T04:34:01Z","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":"We show the flaw in a theorem of Konno, Namiki, Soshi, and Sudbury in [3] and provide the necessary correction in the case of the Finite Hadamard walk and use it to show that a conjecture of Ambainis, Bach, Nayak, Vishwanath, and Watrous in [1] is false.","authors_text":"Clement Ampadu","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-07-31T05:31:46Z","title":"On the Ambainis-Bach-Nayak-Vishwanath-Watrous Conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0052","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":"sha256:8489a566d6243a2c359be53a9504ea3c865572df5bce176b22c8737f7999f2ab","target":"record","created_at":"2026-05-18T04:34:01Z","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":"b08cf8e60327d9d296b0e0b5dd3f3c00faf844a0cf8c004dafa5a83552520324","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-07-31T05:31:46Z","title_canon_sha256":"1bbd4c3232c17e17be89cce3b31fa509317d70538a23d7b65d565a65426a047d"},"schema_version":"1.0","source":{"id":"1008.0052","kind":"arxiv","version":2}},"canonical_sha256":"1df324030acadffb3c3412c6e06604ee6f090edd017f749442611b72954a0301","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1df324030acadffb3c3412c6e06604ee6f090edd017f749442611b72954a0301","first_computed_at":"2026-05-18T04:34:01.341871Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:01.341871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wSpXYSXL8OvO5cUBQlmlL1DxnCCA/mjF2NyRT4tjzMJ++XXyvGf912m3Ix3n8OGW91jWq6NLwcsJ9BgOKaxABw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:01.342296Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0052","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8489a566d6243a2c359be53a9504ea3c865572df5bce176b22c8737f7999f2ab","sha256:679fd9b66da2bd6c97497eb2b70f1bdfadc258c254a9b20f1e20327d397824d2"],"state_sha256":"c96f5c00db48a22807e1b0c490bf4a21c9ca76cadcbee0bd58f2404edbc14579"}