{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:GYLAI44KG5OG3DKZ5HD6C72TNR","short_pith_number":"pith:GYLAI44K","canonical_record":{"source":{"id":"1708.03283","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-10T16:13:51Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"36de903d4abaac1445e9ba6d53ac55ff5dfcc9d05f53dc7c181637994b7b8cf0","abstract_canon_sha256":"3fc53fe59b20983623090decd2d13a137ab70dd8ca8e6eba019af5ee51dbd91e"},"schema_version":"1.0"},"canonical_sha256":"361604738a375c6d8d59e9c7e17f536c790532d999be3c2964640be37c128359","source":{"kind":"arxiv","id":"1708.03283","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03283","created_at":"2026-05-17T23:50:38Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03283v2","created_at":"2026-05-17T23:50:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03283","created_at":"2026-05-17T23:50:38Z"},{"alias_kind":"pith_short_12","alias_value":"GYLAI44KG5OG","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GYLAI44KG5OG3DKZ","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GYLAI44K","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:GYLAI44KG5OG3DKZ5HD6C72TNR","target":"record","payload":{"canonical_record":{"source":{"id":"1708.03283","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-10T16:13:51Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"36de903d4abaac1445e9ba6d53ac55ff5dfcc9d05f53dc7c181637994b7b8cf0","abstract_canon_sha256":"3fc53fe59b20983623090decd2d13a137ab70dd8ca8e6eba019af5ee51dbd91e"},"schema_version":"1.0"},"canonical_sha256":"361604738a375c6d8d59e9c7e17f536c790532d999be3c2964640be37c128359","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:38.881434Z","signature_b64":"6wnytI1MUcMcGvRPtqzoJzNsDKoTv77MhPUckl5M9Q+xZ2tYRkvWG02oXtw9nFlHE+omD2mk8pA9Kd7PCsXVDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"361604738a375c6d8d59e9c7e17f536c790532d999be3c2964640be37c128359","last_reissued_at":"2026-05-17T23:50:38.880569Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:38.880569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.03283","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0SXIV74WP4cg5TE35uL96/8QcYgdb3JXdIqqv80UomZbUhrD8sFsnqW/vAK2xDI0y/TbD1NboIeCoIqhTmljAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:47:37.670151Z"},"content_sha256":"f214cab2b75aadc633fd127fff93482b191ca7e1e5bcdf687c82dde23fb3910e","schema_version":"1.0","event_id":"sha256:f214cab2b75aadc633fd127fff93482b191ca7e1e5bcdf687c82dde23fb3910e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:GYLAI44KG5OG3DKZ5HD6C72TNR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perfect quantum state transfer in weighted paths with potentials (loops) using orthogonal polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"quant-ph","authors_text":"Darian McLaren, Rajesh Pereira, Sarah Plosker, Steve Kirkland, Xiaohong Zhang","submitted_at":"2017-08-10T16:13:51Z","abstract_excerpt":"A simple method for transmitting quantum states within a quantum computer is via a quantum spin chain---that is, a path on $n$ vertices. Unweighted paths are of limited use, and so a natural generalization is to consider weighted paths; this has been further generalized to allow for loops (\\emph{potentials} in the physics literature). We study the particularly important situation of perfect state transfer with respect to the corresponding adjacency matrix or Laplacian through the use of orthogonal polynomials. Low-dimensional examples are given in detail. Our main result is that PST with respe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03283","kind":"arxiv","version":2},"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":"2026-05-17T23:50:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0mXDesEI8T7kFzLBG7lFjzpAwb+3KCcAecyn8BvGUPWBzqX2l+4RakxxsyNhCW3q/wxa5M7gbmMlRkoCHUgaDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:47:37.670532Z"},"content_sha256":"23f60e8fc6dccc3370dfe205e3cd502000a18ca1f8cbdf17ed3bbdb9e3f353ba","schema_version":"1.0","event_id":"sha256:23f60e8fc6dccc3370dfe205e3cd502000a18ca1f8cbdf17ed3bbdb9e3f353ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GYLAI44KG5OG3DKZ5HD6C72TNR/bundle.json","state_url":"https://pith.science/pith/GYLAI44KG5OG3DKZ5HD6C72TNR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GYLAI44KG5OG3DKZ5HD6C72TNR/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":"2026-05-25T21:47:37Z","links":{"resolver":"https://pith.science/pith/GYLAI44KG5OG3DKZ5HD6C72TNR","bundle":"https://pith.science/pith/GYLAI44KG5OG3DKZ5HD6C72TNR/bundle.json","state":"https://pith.science/pith/GYLAI44KG5OG3DKZ5HD6C72TNR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GYLAI44KG5OG3DKZ5HD6C72TNR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GYLAI44KG5OG3DKZ5HD6C72TNR","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":"3fc53fe59b20983623090decd2d13a137ab70dd8ca8e6eba019af5ee51dbd91e","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-10T16:13:51Z","title_canon_sha256":"36de903d4abaac1445e9ba6d53ac55ff5dfcc9d05f53dc7c181637994b7b8cf0"},"schema_version":"1.0","source":{"id":"1708.03283","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03283","created_at":"2026-05-17T23:50:38Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03283v2","created_at":"2026-05-17T23:50:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03283","created_at":"2026-05-17T23:50:38Z"},{"alias_kind":"pith_short_12","alias_value":"GYLAI44KG5OG","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GYLAI44KG5OG3DKZ","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GYLAI44K","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:23f60e8fc6dccc3370dfe205e3cd502000a18ca1f8cbdf17ed3bbdb9e3f353ba","target":"graph","created_at":"2026-05-17T23:50:38Z","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":"A simple method for transmitting quantum states within a quantum computer is via a quantum spin chain---that is, a path on $n$ vertices. Unweighted paths are of limited use, and so a natural generalization is to consider weighted paths; this has been further generalized to allow for loops (\\emph{potentials} in the physics literature). We study the particularly important situation of perfect state transfer with respect to the corresponding adjacency matrix or Laplacian through the use of orthogonal polynomials. Low-dimensional examples are given in detail. Our main result is that PST with respe","authors_text":"Darian McLaren, Rajesh Pereira, Sarah Plosker, Steve Kirkland, Xiaohong Zhang","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-10T16:13:51Z","title":"Perfect quantum state transfer in weighted paths with potentials (loops) using orthogonal polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03283","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:f214cab2b75aadc633fd127fff93482b191ca7e1e5bcdf687c82dde23fb3910e","target":"record","created_at":"2026-05-17T23:50:38Z","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":"3fc53fe59b20983623090decd2d13a137ab70dd8ca8e6eba019af5ee51dbd91e","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-10T16:13:51Z","title_canon_sha256":"36de903d4abaac1445e9ba6d53ac55ff5dfcc9d05f53dc7c181637994b7b8cf0"},"schema_version":"1.0","source":{"id":"1708.03283","kind":"arxiv","version":2}},"canonical_sha256":"361604738a375c6d8d59e9c7e17f536c790532d999be3c2964640be37c128359","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"361604738a375c6d8d59e9c7e17f536c790532d999be3c2964640be37c128359","first_computed_at":"2026-05-17T23:50:38.880569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:38.880569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6wnytI1MUcMcGvRPtqzoJzNsDKoTv77MhPUckl5M9Q+xZ2tYRkvWG02oXtw9nFlHE+omD2mk8pA9Kd7PCsXVDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:38.881434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03283","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f214cab2b75aadc633fd127fff93482b191ca7e1e5bcdf687c82dde23fb3910e","sha256:23f60e8fc6dccc3370dfe205e3cd502000a18ca1f8cbdf17ed3bbdb9e3f353ba"],"state_sha256":"eb7910fe3afb5d097eb3b6383ccffc9f4bea53f0eb763d7f25bca2725f600606"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"014fnWwyqS1IoHjLXCfajddo2erF9QxTQRToEiGwfYBZ6aTQm9TiRNEXfdW0YJVgjbdINzwXvMRxyyerDIFlDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T21:47:37.674343Z","bundle_sha256":"0f4375a57dc592c2fdf23d8d59f9cb8e9aa617848c0fd646cb80f196ad0500fd"}}