{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:DNHCCUCMK5QPLAZRU55GA7ALNY","short_pith_number":"pith:DNHCCUCM","canonical_record":{"source":{"id":"quant-ph/0501169","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-01-28T16:19:16Z","cross_cats_sorted":[],"title_canon_sha256":"af4b6d7ac1effe403d9ab783f8202c409ac1914727741011dc5328d70200b953","abstract_canon_sha256":"28cabc232bb5f7d9de2b8dcf3a3652a70491b9dff17849408c6b1e265861630b"},"schema_version":"1.0"},"canonical_sha256":"1b4e21504c5760f58331a77a607c0b6e12dceac3184927588478b07cd47acb4f","source":{"kind":"arxiv","id":"quant-ph/0501169","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0501169","created_at":"2026-07-04T16:57:29Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0501169v5","created_at":"2026-07-04T16:57:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0501169","created_at":"2026-07-04T16:57:29Z"},{"alias_kind":"pith_short_12","alias_value":"DNHCCUCMK5QP","created_at":"2026-07-04T16:57:29Z"},{"alias_kind":"pith_short_16","alias_value":"DNHCCUCMK5QPLAZR","created_at":"2026-07-04T16:57:29Z"},{"alias_kind":"pith_short_8","alias_value":"DNHCCUCM","created_at":"2026-07-04T16:57:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:DNHCCUCMK5QPLAZRU55GA7ALNY","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0501169","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-01-28T16:19:16Z","cross_cats_sorted":[],"title_canon_sha256":"af4b6d7ac1effe403d9ab783f8202c409ac1914727741011dc5328d70200b953","abstract_canon_sha256":"28cabc232bb5f7d9de2b8dcf3a3652a70491b9dff17849408c6b1e265861630b"},"schema_version":"1.0"},"canonical_sha256":"1b4e21504c5760f58331a77a607c0b6e12dceac3184927588478b07cd47acb4f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:57:29.109093Z","signature_b64":"lDXAfrhkNgfOIV5E7Gtk5dmE7Gng4k5gsApaDcW2XToG6luAVLJExdPcCl8xQg9+hAw+QhOwAFoyzVxs8TtpDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b4e21504c5760f58331a77a607c0b6e12dceac3184927588478b07cd47acb4f","last_reissued_at":"2026-07-04T16:57:29.108720Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:57:29.108720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0501169","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:57:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"85mzGLgaa71/1Ce1L0+OwGoiWFWXz7FAW30zTiELh6JquJWgzOERdDBvnuew5sBdZrzlgrGuEV9lFjcxP3A5DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T20:21:29.520376Z"},"content_sha256":"e9de71bcc11829c2ec506b90d174cc860e907380f6fb00090b09b522d0a2379d","schema_version":"1.0","event_id":"sha256:e9de71bcc11829c2ec506b90d174cc860e907380f6fb00090b09b522d0a2379d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:DNHCCUCMK5QPLAZRU55GA7ALNY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decoherence in Quantum Walks on the Hypercube","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alexander Russell, Gorjan Alagic","submitted_at":"2005-01-28T16:19:16Z","abstract_excerpt":"We study a natural notion of decoherence on quantum random walks over the hypercube. We prove that in this model there is a decoherence threshold beneath which the essential properties of the hypercubic quantum walk, such as linear mixing times, are preserved. Beyond the threshold, we prove that the walks behave like their classical counterparts."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0501169","kind":"arxiv","version":5},"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/quant-ph/0501169/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":"2026-07-04T16:57:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3KZdN+IpqlseHNIR+fwE9bamOXQAtzb+z1qhgDXHw67oONRr0zxHc7e2gJ/Ruzut10cryxRxg8mk45zX/di+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T20:21:29.520870Z"},"content_sha256":"19af9de6b5f7f9ce6d034e39dbdda2daadb2a1fe400a23dc3aa907f7878d1dbc","schema_version":"1.0","event_id":"sha256:19af9de6b5f7f9ce6d034e39dbdda2daadb2a1fe400a23dc3aa907f7878d1dbc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DNHCCUCMK5QPLAZRU55GA7ALNY/bundle.json","state_url":"https://pith.science/pith/DNHCCUCMK5QPLAZRU55GA7ALNY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DNHCCUCMK5QPLAZRU55GA7ALNY/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":"2026-08-04T20:21:29Z","links":{"resolver":"https://pith.science/pith/DNHCCUCMK5QPLAZRU55GA7ALNY","bundle":"https://pith.science/pith/DNHCCUCMK5QPLAZRU55GA7ALNY/bundle.json","state":"https://pith.science/pith/DNHCCUCMK5QPLAZRU55GA7ALNY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DNHCCUCMK5QPLAZRU55GA7ALNY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:DNHCCUCMK5QPLAZRU55GA7ALNY","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":"28cabc232bb5f7d9de2b8dcf3a3652a70491b9dff17849408c6b1e265861630b","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-01-28T16:19:16Z","title_canon_sha256":"af4b6d7ac1effe403d9ab783f8202c409ac1914727741011dc5328d70200b953"},"schema_version":"1.0","source":{"id":"quant-ph/0501169","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0501169","created_at":"2026-07-04T16:57:29Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0501169v5","created_at":"2026-07-04T16:57:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0501169","created_at":"2026-07-04T16:57:29Z"},{"alias_kind":"pith_short_12","alias_value":"DNHCCUCMK5QP","created_at":"2026-07-04T16:57:29Z"},{"alias_kind":"pith_short_16","alias_value":"DNHCCUCMK5QPLAZR","created_at":"2026-07-04T16:57:29Z"},{"alias_kind":"pith_short_8","alias_value":"DNHCCUCM","created_at":"2026-07-04T16:57:29Z"}],"graph_snapshots":[{"event_id":"sha256:19af9de6b5f7f9ce6d034e39dbdda2daadb2a1fe400a23dc3aa907f7878d1dbc","target":"graph","created_at":"2026-07-04T16:57:29Z","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/0501169/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a natural notion of decoherence on quantum random walks over the hypercube. We prove that in this model there is a decoherence threshold beneath which the essential properties of the hypercubic quantum walk, such as linear mixing times, are preserved. Beyond the threshold, we prove that the walks behave like their classical counterparts.","authors_text":"Alexander Russell, Gorjan Alagic","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2005-01-28T16:19:16Z","title":"Decoherence in Quantum Walks on the Hypercube"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0501169","kind":"arxiv","version":5},"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:e9de71bcc11829c2ec506b90d174cc860e907380f6fb00090b09b522d0a2379d","target":"record","created_at":"2026-07-04T16:57:29Z","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":"28cabc232bb5f7d9de2b8dcf3a3652a70491b9dff17849408c6b1e265861630b","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-01-28T16:19:16Z","title_canon_sha256":"af4b6d7ac1effe403d9ab783f8202c409ac1914727741011dc5328d70200b953"},"schema_version":"1.0","source":{"id":"quant-ph/0501169","kind":"arxiv","version":5}},"canonical_sha256":"1b4e21504c5760f58331a77a607c0b6e12dceac3184927588478b07cd47acb4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b4e21504c5760f58331a77a607c0b6e12dceac3184927588478b07cd47acb4f","first_computed_at":"2026-07-04T16:57:29.108720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:57:29.108720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lDXAfrhkNgfOIV5E7Gtk5dmE7Gng4k5gsApaDcW2XToG6luAVLJExdPcCl8xQg9+hAw+QhOwAFoyzVxs8TtpDA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:57:29.109093Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0501169","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9de71bcc11829c2ec506b90d174cc860e907380f6fb00090b09b522d0a2379d","sha256:19af9de6b5f7f9ce6d034e39dbdda2daadb2a1fe400a23dc3aa907f7878d1dbc"],"state_sha256":"5263c8c610fce5472dea92abdc4e9f497ffbc08aeb04b38ce751fa404f577a58"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j2a8Yd8gLpgQsPTpW9RV5odowll/oo3/Cze4PHdQ9TMhGQlyCSs2zKB4GsuTDBLb4htO4QJcuyTnjDyNgqBSDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T20:21:29.524796Z","bundle_sha256":"a831c91a4ee87b2746e0923717676aa366e3a77437f3a3999e7187d807be019f"}}