{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:2JM2TV37BU43BO5U67BZACAXV4","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":"272bd95c44ff86e3a425093a9cff3cb27de199211cc6c7230efaf99d00ad284d","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-10-08T02:44:54Z","title_canon_sha256":"478e7b8db0c229f0b4ef01dc118baaa4b9e34400511fbcf5b031523da9914f6a"},"schema_version":"1.0","source":{"id":"quant-ph/0210047","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0210047","created_at":"2026-07-04T14:46:02Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0210047v1","created_at":"2026-07-04T14:46:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0210047","created_at":"2026-07-04T14:46:02Z"},{"alias_kind":"pith_short_12","alias_value":"2JM2TV37BU43","created_at":"2026-07-04T14:46:02Z"},{"alias_kind":"pith_short_16","alias_value":"2JM2TV37BU43BO5U","created_at":"2026-07-04T14:46:02Z"},{"alias_kind":"pith_short_8","alias_value":"2JM2TV37","created_at":"2026-07-04T14:46:02Z"}],"graph_snapshots":[{"event_id":"sha256:fed6add95a7f064faa81a1172ea6e0f52040b5c606fc80f8ccb0f44192f211a1","target":"graph","created_at":"2026-07-04T14:46:02Z","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/quant-ph/0210047/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We have studied how decoherence affects a quantum walk on the line. As expected, it is highly sensitive, consisting as it does of an extremely delocalized particle. We obtain an expression for the rate at which the standard deviation falls from the quantum value as decoherence increases and show that it is proportional to the number of decoherence \"events\" occuring during the walk.","authors_text":"Ben Tregenna, Viv Kendon","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2002-10-08T02:44:54Z","title":"Decoherence in a quantum walk on the line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0210047","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":"sha256:8d1dbd613ec744a4d617a21cf931758739cbfd4092a1da75804361d5f7587043","target":"record","created_at":"2026-07-04T14:46:02Z","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":"272bd95c44ff86e3a425093a9cff3cb27de199211cc6c7230efaf99d00ad284d","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-10-08T02:44:54Z","title_canon_sha256":"478e7b8db0c229f0b4ef01dc118baaa4b9e34400511fbcf5b031523da9914f6a"},"schema_version":"1.0","source":{"id":"quant-ph/0210047","kind":"arxiv","version":1}},"canonical_sha256":"d259a9d77f0d39b0bbb4f7c3900817af130edbe4f2d49e0013f5d33bf1b693bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d259a9d77f0d39b0bbb4f7c3900817af130edbe4f2d49e0013f5d33bf1b693bb","first_computed_at":"2026-07-04T14:46:02.015961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:46:02.015961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1bQLNkP/CsjpI5MiHo7+NYwY8OFb00HXSdTzCKVnOA5AMU7+ePlPBUhn9E2Wyzsb2Fo31GAWOYh2zBuf7tcVBA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:46:02.016327Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0210047","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d1dbd613ec744a4d617a21cf931758739cbfd4092a1da75804361d5f7587043","sha256:fed6add95a7f064faa81a1172ea6e0f52040b5c606fc80f8ccb0f44192f211a1"],"state_sha256":"4845ce89a09d64310c1016abab385a8646b111f8da1467eef15cd97679cf0b04"}