{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:S735YPRVT5HHJCBO6IO4FVBS2M","short_pith_number":"pith:S735YPRV","canonical_record":{"source":{"id":"0910.5397","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-28T14:58:25Z","cross_cats_sorted":["math.CO","math.GR"],"title_canon_sha256":"5a15d6a865c6b551178f08da5d798b9b5edca0cc57eab862da6b575b3b251111","abstract_canon_sha256":"eac4c6a26135a06c9cd57bbdac003b9ea248cd12891bfe5b72ff96db0774b80b"},"schema_version":"1.0"},"canonical_sha256":"97f7dc3e359f4e74882ef21dc2d432d32eceffff80246e30eca1fc647b44dd3c","source":{"kind":"arxiv","id":"0910.5397","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5397","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5397v3","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5397","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"S735YPRVT5HH","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"S735YPRVT5HHJCBO","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"S735YPRV","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:S735YPRVT5HHJCBO6IO4FVBS2M","target":"record","payload":{"canonical_record":{"source":{"id":"0910.5397","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-28T14:58:25Z","cross_cats_sorted":["math.CO","math.GR"],"title_canon_sha256":"5a15d6a865c6b551178f08da5d798b9b5edca0cc57eab862da6b575b3b251111","abstract_canon_sha256":"eac4c6a26135a06c9cd57bbdac003b9ea248cd12891bfe5b72ff96db0774b80b"},"schema_version":"1.0"},"canonical_sha256":"97f7dc3e359f4e74882ef21dc2d432d32eceffff80246e30eca1fc647b44dd3c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:04.387188Z","signature_b64":"VVc1PNVy5YvB/Uy9Q7Po9R7kCmG81E9h0oelB4NByJQisSy7N8Sgemyqx9Vy9UGDuQh8sMmA7soS6lXhwF63Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97f7dc3e359f4e74882ef21dc2d432d32eceffff80246e30eca1fc647b44dd3c","last_reissued_at":"2026-05-18T04:05:04.386578Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:04.386578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.5397","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GiD2WLBXzdX1YlDkflz+1GegJSgupz/3GQEwrjLmFFpvfwZvyejkNYU4TBKbl+nzdPu75SQKsPP6GC8GXGKJBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:39:18.034129Z"},"content_sha256":"b2e86851f543298a57ead06c7917b0399aaf17b786accafad9a5bcedeb6b9d20","schema_version":"1.0","event_id":"sha256:b2e86851f543298a57ead06c7917b0399aaf17b786accafad9a5bcedeb6b9d20"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:S735YPRVT5HHJCBO6IO4FVBS2M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Control by quantum dynamics on graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.GR"],"primary_cat":"quant-ph","authors_text":"Chris Godsil, Simone Severini","submitted_at":"2009-10-28T14:58:25Z","abstract_excerpt":"We address the study of controllability of a closed quantum system whose dynamical Lie algebra is generated by adjacency matrices of graphs. We characterize a large family of graphs that renders a system controllable. The key property is a novel graph-theoretic feature consisting of a particularly disordered cycle structure. Disregarding efficiency of control functions, but choosing subfamilies of sparse graphs, the results translate into continuous-time quantum walks for universal computation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5397","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c0WnaCBvV9to5LCiO1tkbADee72BSV8bcofj/jFgfp3UNjLMRl4zo6eB4m3blf7Yh03RVZq2JpnwxQ0KHipNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:39:18.034879Z"},"content_sha256":"7b27f8d37b3f5abf43001ce44b11305882c2db39a590ec0558aae17d93587334","schema_version":"1.0","event_id":"sha256:7b27f8d37b3f5abf43001ce44b11305882c2db39a590ec0558aae17d93587334"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S735YPRVT5HHJCBO6IO4FVBS2M/bundle.json","state_url":"https://pith.science/pith/S735YPRVT5HHJCBO6IO4FVBS2M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S735YPRVT5HHJCBO6IO4FVBS2M/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T04:39:18Z","links":{"resolver":"https://pith.science/pith/S735YPRVT5HHJCBO6IO4FVBS2M","bundle":"https://pith.science/pith/S735YPRVT5HHJCBO6IO4FVBS2M/bundle.json","state":"https://pith.science/pith/S735YPRVT5HHJCBO6IO4FVBS2M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S735YPRVT5HHJCBO6IO4FVBS2M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:S735YPRVT5HHJCBO6IO4FVBS2M","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":"eac4c6a26135a06c9cd57bbdac003b9ea248cd12891bfe5b72ff96db0774b80b","cross_cats_sorted":["math.CO","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-28T14:58:25Z","title_canon_sha256":"5a15d6a865c6b551178f08da5d798b9b5edca0cc57eab862da6b575b3b251111"},"schema_version":"1.0","source":{"id":"0910.5397","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5397","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5397v3","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5397","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"S735YPRVT5HH","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"S735YPRVT5HHJCBO","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"S735YPRV","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:7b27f8d37b3f5abf43001ce44b11305882c2db39a590ec0558aae17d93587334","target":"graph","created_at":"2026-05-18T04:05:04Z","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 address the study of controllability of a closed quantum system whose dynamical Lie algebra is generated by adjacency matrices of graphs. We characterize a large family of graphs that renders a system controllable. The key property is a novel graph-theoretic feature consisting of a particularly disordered cycle structure. Disregarding efficiency of control functions, but choosing subfamilies of sparse graphs, the results translate into continuous-time quantum walks for universal computation.","authors_text":"Chris Godsil, Simone Severini","cross_cats":["math.CO","math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-28T14:58:25Z","title":"Control by quantum dynamics on graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5397","kind":"arxiv","version":3},"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:b2e86851f543298a57ead06c7917b0399aaf17b786accafad9a5bcedeb6b9d20","target":"record","created_at":"2026-05-18T04:05:04Z","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":"eac4c6a26135a06c9cd57bbdac003b9ea248cd12891bfe5b72ff96db0774b80b","cross_cats_sorted":["math.CO","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-28T14:58:25Z","title_canon_sha256":"5a15d6a865c6b551178f08da5d798b9b5edca0cc57eab862da6b575b3b251111"},"schema_version":"1.0","source":{"id":"0910.5397","kind":"arxiv","version":3}},"canonical_sha256":"97f7dc3e359f4e74882ef21dc2d432d32eceffff80246e30eca1fc647b44dd3c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97f7dc3e359f4e74882ef21dc2d432d32eceffff80246e30eca1fc647b44dd3c","first_computed_at":"2026-05-18T04:05:04.386578Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:04.386578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VVc1PNVy5YvB/Uy9Q7Po9R7kCmG81E9h0oelB4NByJQisSy7N8Sgemyqx9Vy9UGDuQh8sMmA7soS6lXhwF63Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:04.387188Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.5397","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2e86851f543298a57ead06c7917b0399aaf17b786accafad9a5bcedeb6b9d20","sha256:7b27f8d37b3f5abf43001ce44b11305882c2db39a590ec0558aae17d93587334"],"state_sha256":"b9bf245eda054c2f037dd7f69a9795c22ecb5648583eae542eec3ec7d7bbbeb0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2kDrQIu5HIxCoTbRJ6L5ue7W7PIoue8k+rewYWBbN2ZHB8mIJNhHY5D7EA0/Jk8vAvrIYN/juybjGfbQgEuACw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:39:18.038835Z","bundle_sha256":"64fee4d5d782ad7d917c2519191eff26c461eed47d45ca12771bade53b7e962c"}}