{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:EA4EISEA4RHVO44PU2XWFW45L2","short_pith_number":"pith:EA4EISEA","canonical_record":{"source":{"id":"2209.04162","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-09-09T07:43:46Z","cross_cats_sorted":[],"title_canon_sha256":"c872dc82fca516cfb8478bd66556501601c35154225c5771e3ff006d57419bbe","abstract_canon_sha256":"fc9c6bb4ec6d94c62315723933b7da157a2ede9997ca629908f6df0128a8e1f6"},"schema_version":"1.0"},"canonical_sha256":"2038444880e44f57738fa6af62db9d5ea5501b40402615781390c9514dc28dfe","source":{"kind":"arxiv","id":"2209.04162","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.04162","created_at":"2026-07-05T04:55:56Z"},{"alias_kind":"arxiv_version","alias_value":"2209.04162v1","created_at":"2026-07-05T04:55:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.04162","created_at":"2026-07-05T04:55:56Z"},{"alias_kind":"pith_short_12","alias_value":"EA4EISEA4RHV","created_at":"2026-07-05T04:55:56Z"},{"alias_kind":"pith_short_16","alias_value":"EA4EISEA4RHVO44P","created_at":"2026-07-05T04:55:56Z"},{"alias_kind":"pith_short_8","alias_value":"EA4EISEA","created_at":"2026-07-05T04:55:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:EA4EISEA4RHVO44PU2XWFW45L2","target":"record","payload":{"canonical_record":{"source":{"id":"2209.04162","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-09-09T07:43:46Z","cross_cats_sorted":[],"title_canon_sha256":"c872dc82fca516cfb8478bd66556501601c35154225c5771e3ff006d57419bbe","abstract_canon_sha256":"fc9c6bb4ec6d94c62315723933b7da157a2ede9997ca629908f6df0128a8e1f6"},"schema_version":"1.0"},"canonical_sha256":"2038444880e44f57738fa6af62db9d5ea5501b40402615781390c9514dc28dfe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:55:56.474433Z","signature_b64":"68dwLrG0vY215ujBYe3goJe+agVPWk082/KiokYZhkmCtOaWyjtUKwVyThUAPgFVF3A65byln+byVlYsgW2sBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2038444880e44f57738fa6af62db9d5ea5501b40402615781390c9514dc28dfe","last_reissued_at":"2026-07-05T04:55:56.473932Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:55:56.473932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2209.04162","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":"2026-07-05T04:55:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bi2Afb4DYI4RuzJ+zTY5x5A07Ry7KkXJATF2twScTldk8MEm6ku2DMO1BGKizIhbTyBUVd8SJhnJ/AIdLABeBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:16:01.069425Z"},"content_sha256":"ec118448ac58d18e8a658712d62ea0cefbeb04cd0d9633f9603bf88dd00f442d","schema_version":"1.0","event_id":"sha256:ec118448ac58d18e8a658712d62ea0cefbeb04cd0d9633f9603bf88dd00f442d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:EA4EISEA4RHVO44PU2XWFW45L2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improvement of quantum walk-based search algorithms in single marked vertex graphs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Xinying Li, Yun Shang","submitted_at":"2022-09-09T07:43:46Z","abstract_excerpt":"Quantum walks are powerful tools for building quantum search algorithms or quantum sampling algorithms named the construction of quantum stationary state.\n  However, the success probability of those algorithms are all far away from 1. Amplitude amplification is usually used to amplify success probability, but the souffl\\'e problems follow. Only stop at the right step can we achieve a maximum success probability. Otherwise, as the number of steps increases, the success probability may decrease, which will cause troubles in practical application of the algorithm when the optimal number of steps "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.04162","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2209.04162/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":"2026-07-05T04:55:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q9eVHazJPM0+2sIZPOeveJPFn1fpgTTiJjdTBhqaFQEOpkjup1x02cHPXFVt7s1QgANFNaGhp39bANrgJQCICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:16:01.070252Z"},"content_sha256":"4aa72b5dd26d0ed5e46b99f937e14b93a75ae42b8a2cbd9f752d4eb3fa526f4b","schema_version":"1.0","event_id":"sha256:4aa72b5dd26d0ed5e46b99f937e14b93a75ae42b8a2cbd9f752d4eb3fa526f4b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EA4EISEA4RHVO44PU2XWFW45L2/bundle.json","state_url":"https://pith.science/pith/EA4EISEA4RHVO44PU2XWFW45L2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EA4EISEA4RHVO44PU2XWFW45L2/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":"2026-08-04T11:16:01Z","links":{"resolver":"https://pith.science/pith/EA4EISEA4RHVO44PU2XWFW45L2","bundle":"https://pith.science/pith/EA4EISEA4RHVO44PU2XWFW45L2/bundle.json","state":"https://pith.science/pith/EA4EISEA4RHVO44PU2XWFW45L2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EA4EISEA4RHVO44PU2XWFW45L2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:EA4EISEA4RHVO44PU2XWFW45L2","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":"fc9c6bb4ec6d94c62315723933b7da157a2ede9997ca629908f6df0128a8e1f6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-09-09T07:43:46Z","title_canon_sha256":"c872dc82fca516cfb8478bd66556501601c35154225c5771e3ff006d57419bbe"},"schema_version":"1.0","source":{"id":"2209.04162","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.04162","created_at":"2026-07-05T04:55:56Z"},{"alias_kind":"arxiv_version","alias_value":"2209.04162v1","created_at":"2026-07-05T04:55:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.04162","created_at":"2026-07-05T04:55:56Z"},{"alias_kind":"pith_short_12","alias_value":"EA4EISEA4RHV","created_at":"2026-07-05T04:55:56Z"},{"alias_kind":"pith_short_16","alias_value":"EA4EISEA4RHVO44P","created_at":"2026-07-05T04:55:56Z"},{"alias_kind":"pith_short_8","alias_value":"EA4EISEA","created_at":"2026-07-05T04:55:56Z"}],"graph_snapshots":[{"event_id":"sha256:4aa72b5dd26d0ed5e46b99f937e14b93a75ae42b8a2cbd9f752d4eb3fa526f4b","target":"graph","created_at":"2026-07-05T04:55:56Z","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/2209.04162/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum walks are powerful tools for building quantum search algorithms or quantum sampling algorithms named the construction of quantum stationary state.\n  However, the success probability of those algorithms are all far away from 1. Amplitude amplification is usually used to amplify success probability, but the souffl\\'e problems follow. Only stop at the right step can we achieve a maximum success probability. Otherwise, as the number of steps increases, the success probability may decrease, which will cause troubles in practical application of the algorithm when the optimal number of steps ","authors_text":"Xinying Li, Yun Shang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-09-09T07:43:46Z","title":"Improvement of quantum walk-based search algorithms in single marked vertex graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.04162","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:ec118448ac58d18e8a658712d62ea0cefbeb04cd0d9633f9603bf88dd00f442d","target":"record","created_at":"2026-07-05T04:55:56Z","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":"fc9c6bb4ec6d94c62315723933b7da157a2ede9997ca629908f6df0128a8e1f6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-09-09T07:43:46Z","title_canon_sha256":"c872dc82fca516cfb8478bd66556501601c35154225c5771e3ff006d57419bbe"},"schema_version":"1.0","source":{"id":"2209.04162","kind":"arxiv","version":1}},"canonical_sha256":"2038444880e44f57738fa6af62db9d5ea5501b40402615781390c9514dc28dfe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2038444880e44f57738fa6af62db9d5ea5501b40402615781390c9514dc28dfe","first_computed_at":"2026-07-05T04:55:56.473932Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:55:56.473932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"68dwLrG0vY215ujBYe3goJe+agVPWk082/KiokYZhkmCtOaWyjtUKwVyThUAPgFVF3A65byln+byVlYsgW2sBA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:55:56.474433Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.04162","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec118448ac58d18e8a658712d62ea0cefbeb04cd0d9633f9603bf88dd00f442d","sha256:4aa72b5dd26d0ed5e46b99f937e14b93a75ae42b8a2cbd9f752d4eb3fa526f4b"],"state_sha256":"e403dc8c8ee9dcf3a711ef953d82d9355012cbcde6d4065a40ffb4cc5adeb00d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KA7S1p0nEhwiWXCMz0eLkI30BPn/fRDt565F14DIbuL37u/JLW/d0/bd5tc6206NtVP5I5M9F1X0WzpJjIgkCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T11:16:01.077088Z","bundle_sha256":"e374be3edc64a461b6d02bb0a50803858af30f5f51a51cd9ebece5cc4a8aa591"}}