{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:U4WL7P3R36CNDQTECVH6PGQRTB","short_pith_number":"pith:U4WL7P3R","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"},"canonical_sha256":"a72cbfbf71df84d1c264154fe79a11985133a2e9096b8184a47b1b28fcc4573e","source":{"kind":"arxiv","id":"1804.01645","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01645","created_at":"2026-05-18T00:19:10Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01645v1","created_at":"2026-05-18T00:19:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01645","created_at":"2026-05-18T00:19:10Z"},{"alias_kind":"pith_short_12","alias_value":"U4WL7P3R36CN","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"U4WL7P3R36CNDQTE","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"U4WL7P3R","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:U4WL7P3R36CNDQTECVH6PGQRTB","target":"record","payload":{"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"},"canonical_sha256":"a72cbfbf71df84d1c264154fe79a11985133a2e9096b8184a47b1b28fcc4573e","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"},"source_kind":"arxiv","source_id":"1804.01645","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:19:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5mr22VNuhuCEbW1jM4xFDDxTxH0PUWfbPv07ljH4C2UL2m1cdyCqh5TxrQ2HxFfWC6G/Fx0Auoktt7J3qejfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:20:13.623035Z"},"content_sha256":"bee1c99bab6e9acdbd9defefa2ea16f4647a57b0a3df4e20ca586beaf7a391bd","schema_version":"1.0","event_id":"sha256:bee1c99bab6e9acdbd9defefa2ea16f4647a57b0a3df4e20ca586beaf7a391bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:U4WL7P3R36CNDQTECVH6PGQRTB","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:19:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"56MQApSQE1w964+zy7VY2BuWgmixgIgoA2BYehy6kO/QMkYUekN6hHgVR2IRXuR6IfnADrKxRCefdzK+DrFbDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:20:13.623740Z"},"content_sha256":"3967d961fc477d983ef4e267cb1975e857033d4a62c6b7b86fef2bebdf191e48","schema_version":"1.0","event_id":"sha256:3967d961fc477d983ef4e267cb1975e857033d4a62c6b7b86fef2bebdf191e48"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB/bundle.json","state_url":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U4WL7P3R36CNDQTECVH6PGQRTB/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":"2026-05-28T18:20:13Z","links":{"resolver":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB","bundle":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB/bundle.json","state":"https://pith.science/pith/U4WL7P3R36CNDQTECVH6PGQRTB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U4WL7P3R36CNDQTECVH6PGQRTB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:U4WL7P3R36CNDQTECVH6PGQRTB","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":"cb89de457d42b52995dd2f432204560c64003a1657162b9ac2894d4266325ee8","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-04-05T01:28:56Z","title_canon_sha256":"2bdb3e655ebc305fbe6531c56e10e7c392cfd019a0519f4a4510d4eeec284e7f"},"schema_version":"1.0","source":{"id":"1804.01645","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01645","created_at":"2026-05-18T00:19:10Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01645v1","created_at":"2026-05-18T00:19:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01645","created_at":"2026-05-18T00:19:10Z"},{"alias_kind":"pith_short_12","alias_value":"U4WL7P3R36CN","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"U4WL7P3R36CNDQTE","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"U4WL7P3R","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:3967d961fc477d983ef4e267cb1975e857033d4a62c6b7b86fef2bebdf191e48","target":"graph","created_at":"2026-05-18T00:19:10Z","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 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.","authors_text":"Gabor Lippner, Mark Kempton, Or Eisenberg","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-04-05T01:28:56Z","title":"Pretty good quantum state transfer in asymmetric graphs via potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01645","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:bee1c99bab6e9acdbd9defefa2ea16f4647a57b0a3df4e20ca586beaf7a391bd","target":"record","created_at":"2026-05-18T00:19:10Z","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":"cb89de457d42b52995dd2f432204560c64003a1657162b9ac2894d4266325ee8","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-04-05T01:28:56Z","title_canon_sha256":"2bdb3e655ebc305fbe6531c56e10e7c392cfd019a0519f4a4510d4eeec284e7f"},"schema_version":"1.0","source":{"id":"1804.01645","kind":"arxiv","version":1}},"canonical_sha256":"a72cbfbf71df84d1c264154fe79a11985133a2e9096b8184a47b1b28fcc4573e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a72cbfbf71df84d1c264154fe79a11985133a2e9096b8184a47b1b28fcc4573e","first_computed_at":"2026-05-18T00:19:10.553511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:10.553511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iDOQO1z43BS2D9d19hn/r9F9LlM8u6hVj4ebecmM1X7GVbLuLGHKAykQQgVa9SQUoBUan4aiaMgQgJnRy2w7DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:10.554053Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.01645","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bee1c99bab6e9acdbd9defefa2ea16f4647a57b0a3df4e20ca586beaf7a391bd","sha256:3967d961fc477d983ef4e267cb1975e857033d4a62c6b7b86fef2bebdf191e48"],"state_sha256":"3528eaf7871a318e7749e570b978d3d09f6fd271b6f6acee21d8c3efa4e9fab6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zvhJnNdgF+VhuMo0eAhNJL0OT0F3pn1sW7KyqFCyw4C1zHut0qV+WONX+YUMHaNjKvzkLSIE2+sDl/oTIHJeCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T18:20:13.627115Z","bundle_sha256":"a26d3a356dfa3e0c612848157e9c65ec525025822269a545b0eddfb5a231ec90"}}