{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3ML4534SW5TAWIZMHHAAVM6MWE","short_pith_number":"pith:3ML4534S","canonical_record":{"source":{"id":"1502.05511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-19T09:39:10Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"da86ad348cdae437395c2eea427662ae0280d56180501a428906fc03dc47323f","abstract_canon_sha256":"c556601ce39b5eb07d4f368051b37c9162c5555489ce274547da27ae2e55e66f"},"schema_version":"1.0"},"canonical_sha256":"db17ceef92b7660b232c39c00ab3ccb125238d9e0819fa6df9e809376d430720","source":{"kind":"arxiv","id":"1502.05511","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05511","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05511v1","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05511","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"pith_short_12","alias_value":"3ML4534SW5TA","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3ML4534SW5TAWIZM","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3ML4534S","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3ML4534SW5TAWIZMHHAAVM6MWE","target":"record","payload":{"canonical_record":{"source":{"id":"1502.05511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-19T09:39:10Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"da86ad348cdae437395c2eea427662ae0280d56180501a428906fc03dc47323f","abstract_canon_sha256":"c556601ce39b5eb07d4f368051b37c9162c5555489ce274547da27ae2e55e66f"},"schema_version":"1.0"},"canonical_sha256":"db17ceef92b7660b232c39c00ab3ccb125238d9e0819fa6df9e809376d430720","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:46.363030Z","signature_b64":"+9auiDgIqX3phSn1PMjAMAwLP4R4fGKpVA6FF3DJRVVIHAMUswLsdm0txzUTnjBIQDg7yk9jTL66xSOZDupgDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db17ceef92b7660b232c39c00ab3ccb125238d9e0819fa6df9e809376d430720","last_reissued_at":"2026-05-18T02:26:46.362633Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:46.362633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.05511","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":"2026-05-18T02:26:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H1pUQlBp3tILrES0rAspBXuBhZzIkVwHdi2RFSYxHvW4/CIwpqaf5TG31fAT75jeFI6HGNHnwPOEigYGz/YHCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:06:17.522164Z"},"content_sha256":"428e31b0c07421cc6ebc6c04d7cd3e9df28191ae28bf23cce3bacf1d827e3476","schema_version":"1.0","event_id":"sha256:428e31b0c07421cc6ebc6c04d7cd3e9df28191ae28bf23cce3bacf1d827e3476"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3ML4534SW5TAWIZMHHAAVM6MWE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum mixing of Markov chains for special distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"quant-ph","authors_text":"Hans J. Briegel, Vedran Dunjko","submitted_at":"2015-02-19T09:39:10Z","abstract_excerpt":"The preparation of the stationary distribution of irreducible, time-reversible Markov chains is a fundamental building block in many heuristic approaches to algorithmically hard problems. It has been conjectured that quantum analogs of classical mixing processes may offer a generic quadratic speed-up in realizing such stationary distributions. Such a speed-up would also imply a speed-up of a broad family of heuristic algorithms.\n  However, a true quadratic speed up has thus far only been demonstrated for special classes of Markov chains. These results often presuppose a regular structure of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05511","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":""},"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":"2026-05-18T02:26:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8YSC9lVw5/g1/9tU67SVxpN5qPaYkAtGuxEdbCtRIQl7CuK2osm47h2pFbz2YEWp4QI1VYIMeVyqNIkNvwkYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:06:17.522891Z"},"content_sha256":"34e1431cec50715aa41af3670055cc766fbf19a90935457a7f17406a4eb5ee66","schema_version":"1.0","event_id":"sha256:34e1431cec50715aa41af3670055cc766fbf19a90935457a7f17406a4eb5ee66"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3ML4534SW5TAWIZMHHAAVM6MWE/bundle.json","state_url":"https://pith.science/pith/3ML4534SW5TAWIZMHHAAVM6MWE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3ML4534SW5TAWIZMHHAAVM6MWE/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":"2026-05-26T04:06:17Z","links":{"resolver":"https://pith.science/pith/3ML4534SW5TAWIZMHHAAVM6MWE","bundle":"https://pith.science/pith/3ML4534SW5TAWIZMHHAAVM6MWE/bundle.json","state":"https://pith.science/pith/3ML4534SW5TAWIZMHHAAVM6MWE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3ML4534SW5TAWIZMHHAAVM6MWE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3ML4534SW5TAWIZMHHAAVM6MWE","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":"c556601ce39b5eb07d4f368051b37c9162c5555489ce274547da27ae2e55e66f","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-19T09:39:10Z","title_canon_sha256":"da86ad348cdae437395c2eea427662ae0280d56180501a428906fc03dc47323f"},"schema_version":"1.0","source":{"id":"1502.05511","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05511","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05511v1","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05511","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"pith_short_12","alias_value":"3ML4534SW5TA","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3ML4534SW5TAWIZM","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3ML4534S","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:34e1431cec50715aa41af3670055cc766fbf19a90935457a7f17406a4eb5ee66","target":"graph","created_at":"2026-05-18T02:26:46Z","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":"The preparation of the stationary distribution of irreducible, time-reversible Markov chains is a fundamental building block in many heuristic approaches to algorithmically hard problems. It has been conjectured that quantum analogs of classical mixing processes may offer a generic quadratic speed-up in realizing such stationary distributions. Such a speed-up would also imply a speed-up of a broad family of heuristic algorithms.\n  However, a true quadratic speed up has thus far only been demonstrated for special classes of Markov chains. These results often presuppose a regular structure of th","authors_text":"Hans J. Briegel, Vedran Dunjko","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-19T09:39:10Z","title":"Quantum mixing of Markov chains for special distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05511","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":"sha256:428e31b0c07421cc6ebc6c04d7cd3e9df28191ae28bf23cce3bacf1d827e3476","target":"record","created_at":"2026-05-18T02:26:46Z","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":"c556601ce39b5eb07d4f368051b37c9162c5555489ce274547da27ae2e55e66f","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-19T09:39:10Z","title_canon_sha256":"da86ad348cdae437395c2eea427662ae0280d56180501a428906fc03dc47323f"},"schema_version":"1.0","source":{"id":"1502.05511","kind":"arxiv","version":1}},"canonical_sha256":"db17ceef92b7660b232c39c00ab3ccb125238d9e0819fa6df9e809376d430720","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db17ceef92b7660b232c39c00ab3ccb125238d9e0819fa6df9e809376d430720","first_computed_at":"2026-05-18T02:26:46.362633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:46.362633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+9auiDgIqX3phSn1PMjAMAwLP4R4fGKpVA6FF3DJRVVIHAMUswLsdm0txzUTnjBIQDg7yk9jTL66xSOZDupgDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:46.363030Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05511","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:428e31b0c07421cc6ebc6c04d7cd3e9df28191ae28bf23cce3bacf1d827e3476","sha256:34e1431cec50715aa41af3670055cc766fbf19a90935457a7f17406a4eb5ee66"],"state_sha256":"f7d7d738911ab46ec72491fc6c760d3a0bd7856cf58918df4144687a1ad8f82b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/BTJUIWYI/bhWlq20EXk9E5CWTHdp94mOIy8Uk9mjlMmEHEzQZW5sGFxFaI6gabXD3HkEgPZug+PJeCMYuiyDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:06:17.527038Z","bundle_sha256":"1c2725e8140b85d31bd4b1ab051495415ee9aa7ab0357fe82ba569e50197e6af"}}