{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:SYTKX5BPTAN5LNYTD3F5XTTXT6","short_pith_number":"pith:SYTKX5BP","canonical_record":{"source":{"id":"2411.05560","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-11-08T13:35:27Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"df80008b3a695e597b49e64ab086744fda0808dd645cd03f50ec78ac186a4edc","abstract_canon_sha256":"00ca7a3ba68bbb70ea379889c917c5d66acbe87c04f5f80b773d9857db1f0eec"},"schema_version":"1.0"},"canonical_sha256":"9626abf42f981bd5b7131ecbdbce779fbff2b675b73f0eb9740c3c55d4521488","source":{"kind":"arxiv","id":"2411.05560","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.05560","created_at":"2026-07-05T09:59:55Z"},{"alias_kind":"arxiv_version","alias_value":"2411.05560v2","created_at":"2026-07-05T09:59:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.05560","created_at":"2026-07-05T09:59:55Z"},{"alias_kind":"pith_short_12","alias_value":"SYTKX5BPTAN5","created_at":"2026-07-05T09:59:55Z"},{"alias_kind":"pith_short_16","alias_value":"SYTKX5BPTAN5LNYT","created_at":"2026-07-05T09:59:55Z"},{"alias_kind":"pith_short_8","alias_value":"SYTKX5BP","created_at":"2026-07-05T09:59:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:SYTKX5BPTAN5LNYTD3F5XTTXT6","target":"record","payload":{"canonical_record":{"source":{"id":"2411.05560","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-11-08T13:35:27Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"df80008b3a695e597b49e64ab086744fda0808dd645cd03f50ec78ac186a4edc","abstract_canon_sha256":"00ca7a3ba68bbb70ea379889c917c5d66acbe87c04f5f80b773d9857db1f0eec"},"schema_version":"1.0"},"canonical_sha256":"9626abf42f981bd5b7131ecbdbce779fbff2b675b73f0eb9740c3c55d4521488","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:59:55.123532Z","signature_b64":"Vg5QwywkGQtsgiSNLICJvKTqgNNxgFdp+npR1D73I1C1QBFVPfhv6hWYQZ4l6X+cqLOG2A5JWZDzli/vyXZcBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9626abf42f981bd5b7131ecbdbce779fbff2b675b73f0eb9740c3c55d4521488","last_reissued_at":"2026-07-05T09:59:55.123119Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:59:55.123119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.05560","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":"2026-07-05T09:59:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"stkIqhrIe2AF/RV2eY840NHooLCGTU+Vw+vp1dLJNRg2ihqInN7adsOuPD6TJaSwnTfYSuErXTWrIuzffauIAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:24:31.798635Z"},"content_sha256":"6027fac676a147fdab93d44a767eff7781ae13d931424ea005c46e7a31057d54","schema_version":"1.0","event_id":"sha256:6027fac676a147fdab93d44a767eff7781ae13d931424ea005c46e7a31057d54"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:SYTKX5BPTAN5LNYTD3F5XTTXT6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"State transfer in discrete-time quantum walks via projected transition matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.CO","authors_text":"Krystal Guo, Vincent Schmeits","submitted_at":"2024-11-08T13:35:27Z","abstract_excerpt":"In this paper, we analyze state transfer in quantum walks by using combinatorial methods. We generalize perfect state transfer in two-reflection discrete-time quantum walks to a notion that we call 'peak state transfer'; we define peak state transfer as the highest state transfer that can be achieved between an initial and a target state under unitary evolution, even when perfect state transfer is unattainable. We give a spectral characterization of peak state transfer that allows us to fully characterize peak state transfer in the arc-reversal (Grover) walk on various families of graphs, incl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.05560","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.05560/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:59:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TXvdMaENRQQM3BxR22OjH3mdkG0SoRE0Y3p94zdGsB+AeNIBxIdbPyTXhfo/5oJKaWr9TFkv2AGRCX4LFytiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:24:31.799608Z"},"content_sha256":"fd71bcdbfbcfb4355bde5f4ec779bac2bff2472ee71dae02fc9746798e6734e0","schema_version":"1.0","event_id":"sha256:fd71bcdbfbcfb4355bde5f4ec779bac2bff2472ee71dae02fc9746798e6734e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SYTKX5BPTAN5LNYTD3F5XTTXT6/bundle.json","state_url":"https://pith.science/pith/SYTKX5BPTAN5LNYTD3F5XTTXT6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SYTKX5BPTAN5LNYTD3F5XTTXT6/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":"2026-08-09T20:24:31Z","links":{"resolver":"https://pith.science/pith/SYTKX5BPTAN5LNYTD3F5XTTXT6","bundle":"https://pith.science/pith/SYTKX5BPTAN5LNYTD3F5XTTXT6/bundle.json","state":"https://pith.science/pith/SYTKX5BPTAN5LNYTD3F5XTTXT6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SYTKX5BPTAN5LNYTD3F5XTTXT6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:SYTKX5BPTAN5LNYTD3F5XTTXT6","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":"00ca7a3ba68bbb70ea379889c917c5d66acbe87c04f5f80b773d9857db1f0eec","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-11-08T13:35:27Z","title_canon_sha256":"df80008b3a695e597b49e64ab086744fda0808dd645cd03f50ec78ac186a4edc"},"schema_version":"1.0","source":{"id":"2411.05560","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.05560","created_at":"2026-07-05T09:59:55Z"},{"alias_kind":"arxiv_version","alias_value":"2411.05560v2","created_at":"2026-07-05T09:59:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.05560","created_at":"2026-07-05T09:59:55Z"},{"alias_kind":"pith_short_12","alias_value":"SYTKX5BPTAN5","created_at":"2026-07-05T09:59:55Z"},{"alias_kind":"pith_short_16","alias_value":"SYTKX5BPTAN5LNYT","created_at":"2026-07-05T09:59:55Z"},{"alias_kind":"pith_short_8","alias_value":"SYTKX5BP","created_at":"2026-07-05T09:59:55Z"}],"graph_snapshots":[{"event_id":"sha256:fd71bcdbfbcfb4355bde5f4ec779bac2bff2472ee71dae02fc9746798e6734e0","target":"graph","created_at":"2026-07-05T09:59:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.05560/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we analyze state transfer in quantum walks by using combinatorial methods. We generalize perfect state transfer in two-reflection discrete-time quantum walks to a notion that we call 'peak state transfer'; we define peak state transfer as the highest state transfer that can be achieved between an initial and a target state under unitary evolution, even when perfect state transfer is unattainable. We give a spectral characterization of peak state transfer that allows us to fully characterize peak state transfer in the arc-reversal (Grover) walk on various families of graphs, incl","authors_text":"Krystal Guo, Vincent Schmeits","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-11-08T13:35:27Z","title":"State transfer in discrete-time quantum walks via projected transition matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.05560","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":"sha256:6027fac676a147fdab93d44a767eff7781ae13d931424ea005c46e7a31057d54","target":"record","created_at":"2026-07-05T09:59:55Z","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":"00ca7a3ba68bbb70ea379889c917c5d66acbe87c04f5f80b773d9857db1f0eec","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-11-08T13:35:27Z","title_canon_sha256":"df80008b3a695e597b49e64ab086744fda0808dd645cd03f50ec78ac186a4edc"},"schema_version":"1.0","source":{"id":"2411.05560","kind":"arxiv","version":2}},"canonical_sha256":"9626abf42f981bd5b7131ecbdbce779fbff2b675b73f0eb9740c3c55d4521488","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9626abf42f981bd5b7131ecbdbce779fbff2b675b73f0eb9740c3c55d4521488","first_computed_at":"2026-07-05T09:59:55.123119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:59:55.123119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vg5QwywkGQtsgiSNLICJvKTqgNNxgFdp+npR1D73I1C1QBFVPfhv6hWYQZ4l6X+cqLOG2A5JWZDzli/vyXZcBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:59:55.123532Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.05560","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6027fac676a147fdab93d44a767eff7781ae13d931424ea005c46e7a31057d54","sha256:fd71bcdbfbcfb4355bde5f4ec779bac2bff2472ee71dae02fc9746798e6734e0"],"state_sha256":"6158fada177beb1a971bd90db7131154a28232231be786dfdc6ada1f9b0d908c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PIYFSavRd/jUOSKf0u0A2SGNBs1Ct6MSMRPh5v1pNMq6dTDpMUUZ7wz6kGbcLLrgLae3ibCvBY5eO4K/MdhVCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T20:24:31.805472Z","bundle_sha256":"df228a311948006278f9bf4beda39635bd0fb06c62944fbbdbc5f2a2109eae0a"}}