{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ML4IK2AKBAPNQWF4WWONZYY43G","short_pith_number":"pith:ML4IK2AK","canonical_record":{"source":{"id":"1810.04686","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-10T18:01:02Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"9e8b9f10db70468f3c6534dfca52f574b5aa5512172bf820aeb99d4b1c60d576","abstract_canon_sha256":"b58b00d2401d8745d976b0e058152ce85973bbc3a10d06677d6fb81d8cebb9e8"},"schema_version":"1.0"},"canonical_sha256":"62f885680a081ed858bcb59cdce31cd985d7df0a0a1a0474ec362c5f5d4a896d","source":{"kind":"arxiv","id":"1810.04686","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.04686","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"arxiv_version","alias_value":"1810.04686v2","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.04686","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"pith_short_12","alias_value":"ML4IK2AKBAPN","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"ML4IK2AKBAPNQWF4","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"ML4IK2AK","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ML4IK2AKBAPNQWF4WWONZYY43G","target":"record","payload":{"canonical_record":{"source":{"id":"1810.04686","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-10T18:01:02Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"9e8b9f10db70468f3c6534dfca52f574b5aa5512172bf820aeb99d4b1c60d576","abstract_canon_sha256":"b58b00d2401d8745d976b0e058152ce85973bbc3a10d06677d6fb81d8cebb9e8"},"schema_version":"1.0"},"canonical_sha256":"62f885680a081ed858bcb59cdce31cd985d7df0a0a1a0474ec362c5f5d4a896d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:17.024110Z","signature_b64":"MzVkXZtlG65hhmWScuWW3NexbzDijizicmPwF+xXI4HYRp4lF7QRk76m1SLMTLfjDVWp2oFKkLU/uwybg45XDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62f885680a081ed858bcb59cdce31cd985d7df0a0a1a0474ec362c5f5d4a896d","last_reissued_at":"2026-05-17T23:48:17.023562Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:17.023562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.04686","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":"2026-05-17T23:48:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xtGraHcVVdMGCRU6s/REI7Vy7Hv+Ouf1EEvDfXCrUMdyyNPR1scWufdO1/mTI3WPwQBVgMVW53sH16cQzvdtBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T10:07:00.739577Z"},"content_sha256":"15d3fe72e565c2af06f04484beb32f34f641fd270992847828460d5c8b126ed7","schema_version":"1.0","event_id":"sha256:15d3fe72e565c2af06f04484beb32f34f641fd270992847828460d5c8b126ed7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ML4IK2AKBAPNQWF4WWONZYY43G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum adiabatic optimization without heuristics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"quant-ph","authors_text":"Aike Liu, Brad Lackey, Kianna Wan, Michael Jarret","submitted_at":"2018-10-10T18:01:02Z","abstract_excerpt":"Quantum adiabatic optimization (QAO) is performed using a time-dependent Hamiltonian $H(s)$ with spectral gap $\\gamma(s)$. Assuming the existence of an oracle $\\Gamma$ such that $\\gamma_\\min = \\Theta\\left(\\min_s\\Gamma(s)\\right)$, we provide an algorithm that reliably performs QAO in time $O\\left(\\gamma_\\min^{-1}\\right)$ with $O\\left(\\log(\\gamma_\\min^{-1})\\right)$ oracle queries, where $\\gamma_\\min = \\min_s \\gamma(s)$. Our strategy is not heuristic and does not require guessing time parameters or annealing paths. Rather, our algorithm naturally produces an annealing path such that $\\|dH/ds\\| \\a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.04686","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":""},"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":"2026-05-17T23:48:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"njgXn2yAeO+0jsVMbL0XzdMA4pfv5q/eobi6Zzm6EVKt6UuPDlivsnJgV21kcakm6O5Nk3d9C7QcxRIV7WfPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T10:07:00.740221Z"},"content_sha256":"cd4fadd72ccdc1bce9db45d71612b7b05914f84c3ec3702fe72a412ca87f194d","schema_version":"1.0","event_id":"sha256:cd4fadd72ccdc1bce9db45d71612b7b05914f84c3ec3702fe72a412ca87f194d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ML4IK2AKBAPNQWF4WWONZYY43G/bundle.json","state_url":"https://pith.science/pith/ML4IK2AKBAPNQWF4WWONZYY43G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ML4IK2AKBAPNQWF4WWONZYY43G/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":"2026-05-21T10:07:00Z","links":{"resolver":"https://pith.science/pith/ML4IK2AKBAPNQWF4WWONZYY43G","bundle":"https://pith.science/pith/ML4IK2AKBAPNQWF4WWONZYY43G/bundle.json","state":"https://pith.science/pith/ML4IK2AKBAPNQWF4WWONZYY43G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ML4IK2AKBAPNQWF4WWONZYY43G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ML4IK2AKBAPNQWF4WWONZYY43G","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":"b58b00d2401d8745d976b0e058152ce85973bbc3a10d06677d6fb81d8cebb9e8","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-10T18:01:02Z","title_canon_sha256":"9e8b9f10db70468f3c6534dfca52f574b5aa5512172bf820aeb99d4b1c60d576"},"schema_version":"1.0","source":{"id":"1810.04686","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.04686","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"arxiv_version","alias_value":"1810.04686v2","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.04686","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"pith_short_12","alias_value":"ML4IK2AKBAPN","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"ML4IK2AKBAPNQWF4","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"ML4IK2AK","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:cd4fadd72ccdc1bce9db45d71612b7b05914f84c3ec3702fe72a412ca87f194d","target":"graph","created_at":"2026-05-17T23:48:17Z","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":"Quantum adiabatic optimization (QAO) is performed using a time-dependent Hamiltonian $H(s)$ with spectral gap $\\gamma(s)$. Assuming the existence of an oracle $\\Gamma$ such that $\\gamma_\\min = \\Theta\\left(\\min_s\\Gamma(s)\\right)$, we provide an algorithm that reliably performs QAO in time $O\\left(\\gamma_\\min^{-1}\\right)$ with $O\\left(\\log(\\gamma_\\min^{-1})\\right)$ oracle queries, where $\\gamma_\\min = \\min_s \\gamma(s)$. Our strategy is not heuristic and does not require guessing time parameters or annealing paths. Rather, our algorithm naturally produces an annealing path such that $\\|dH/ds\\| \\a","authors_text":"Aike Liu, Brad Lackey, Kianna Wan, Michael Jarret","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-10T18:01:02Z","title":"Quantum adiabatic optimization without heuristics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.04686","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":"sha256:15d3fe72e565c2af06f04484beb32f34f641fd270992847828460d5c8b126ed7","target":"record","created_at":"2026-05-17T23:48:17Z","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":"b58b00d2401d8745d976b0e058152ce85973bbc3a10d06677d6fb81d8cebb9e8","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-10T18:01:02Z","title_canon_sha256":"9e8b9f10db70468f3c6534dfca52f574b5aa5512172bf820aeb99d4b1c60d576"},"schema_version":"1.0","source":{"id":"1810.04686","kind":"arxiv","version":2}},"canonical_sha256":"62f885680a081ed858bcb59cdce31cd985d7df0a0a1a0474ec362c5f5d4a896d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62f885680a081ed858bcb59cdce31cd985d7df0a0a1a0474ec362c5f5d4a896d","first_computed_at":"2026-05-17T23:48:17.023562Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:17.023562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MzVkXZtlG65hhmWScuWW3NexbzDijizicmPwF+xXI4HYRp4lF7QRk76m1SLMTLfjDVWp2oFKkLU/uwybg45XDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:17.024110Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.04686","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15d3fe72e565c2af06f04484beb32f34f641fd270992847828460d5c8b126ed7","sha256:cd4fadd72ccdc1bce9db45d71612b7b05914f84c3ec3702fe72a412ca87f194d"],"state_sha256":"169e14798567ff24cd79e23996d2b0522c1315908fed066cb3118c355be4acdb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"63Ip5bkwVSVdHCfNvwv3TKoZhVlffzqLKDBjdJEqQ6zwCJOfe3hxqI9HTv9oiPo0av3COUcAR+Kd3H3iA1pLAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T10:07:00.743694Z","bundle_sha256":"6aff549af1be91e941e57835eb9a0c40c060ab62cb12d6208ff876375006229a"}}