{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:U4WL7P3R36CNDQTECVH6PGQRTB","short_pith_number":"pith:U4WL7P3R","schema_version":"1.0","canonical_sha256":"a72cbfbf71df84d1c264154fe79a11985133a2e9096b8184a47b1b28fcc4573e","source":{"kind":"arxiv","id":"1804.01645","version":1},"attestation_state":"computed","paper":{"title":"Pretty good quantum state transfer in asymmetric graphs via potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.CO","authors_text":"Gabor Lippner, Mark Kempton, Or Eisenberg","submitted_at":"2018-04-05T01:28:56Z","abstract_excerpt":"We construct infinite families of graphs in which pretty good state transfer can be induced by adding a potential to the nodes of the graph (i.e. adding a number to a diagonal entry of the adjacency matrix). Indeed, we show that given any graph with a pair of cospectral nodes, a simple modification of the graph, along with a suitable potential, yields pretty good state transfer (i.e. asymptotically perfect state transfer) between the nodes. This generalizes previous work, concerning graphs with an involution, to asymmetric graphs."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1804.01645","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-04-05T01:28:56Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"2bdb3e655ebc305fbe6531c56e10e7c392cfd019a0519f4a4510d4eeec284e7f","abstract_canon_sha256":"cb89de457d42b52995dd2f432204560c64003a1657162b9ac2894d4266325ee8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:10.554053Z","signature_b64":"iDOQO1z43BS2D9d19hn/r9F9LlM8u6hVj4ebecmM1X7GVbLuLGHKAykQQgVa9SQUoBUan4aiaMgQgJnRy2w7DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a72cbfbf71df84d1c264154fe79a11985133a2e9096b8184a47b1b28fcc4573e","last_reissued_at":"2026-05-18T00:19:10.553511Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:10.553511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pretty good quantum state transfer in asymmetric graphs via potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.CO","authors_text":"Gabor Lippner, Mark Kempton, Or Eisenberg","submitted_at":"2018-04-05T01:28:56Z","abstract_excerpt":"We construct infinite families of graphs in which pretty good state transfer can be induced by adding a potential to the nodes of the graph (i.e. adding a number to a diagonal entry of the adjacency matrix). Indeed, we show that given any graph with a pair of cospectral nodes, a simple modification of the graph, along with a suitable potential, yields pretty good state transfer (i.e. asymptotically perfect state transfer) between the nodes. This generalizes previous work, concerning graphs with an involution, to asymmetric graphs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01645","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1804.01645","created_at":"2026-05-18T00:19:10.553593+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.01645v1","created_at":"2026-05-18T00:19:10.553593+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01645","created_at":"2026-05-18T00:19:10.553593+00:00"},{"alias_kind":"pith_short_12","alias_value":"U4WL7P3R36CN","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_16","alias_value":"U4WL7P3R36CNDQTE","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_8","alias_value":"U4WL7P3R","created_at":"2026-05-18T12:32:56.356000+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB","json":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB.json","graph_json":"https://pith.science/api/pith-number/U4WL7P3R36CNDQTECVH6PGQRTB/graph.json","events_json":"https://pith.science/api/pith-number/U4WL7P3R36CNDQTECVH6PGQRTB/events.json","paper":"https://pith.science/paper/U4WL7P3R"},"agent_actions":{"view_html":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB","download_json":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB.json","view_paper":"https://pith.science/paper/U4WL7P3R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.01645&json=true","fetch_graph":"https://pith.science/api/pith-number/U4WL7P3R36CNDQTECVH6PGQRTB/graph.json","fetch_events":"https://pith.science/api/pith-number/U4WL7P3R36CNDQTECVH6PGQRTB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB/action/storage_attestation","attest_author":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB/action/author_attestation","sign_citation":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB/action/citation_signature","submit_replication":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB/action/replication_record"}},"created_at":"2026-05-18T00:19:10.553593+00:00","updated_at":"2026-05-18T00:19:10.553593+00:00"}