{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:KPWO5Z42XBGN72LBPT64QXPUQS","short_pith_number":"pith:KPWO5Z42","canonical_record":{"source":{"id":"2411.04979","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-11-07T18:51:44Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"96463fbd8f85e349b3991909f1b3728da9dd10a579e82097dffe8998e8a6dd65","abstract_canon_sha256":"f5a35f805172328e017197c87b4b55e8dc1a6b0594777f609a7a7b5e350b59ea"},"schema_version":"1.0"},"canonical_sha256":"53eceee79ab84cdfe9617cfdc85df484a07265b4bf8e28fd920066dd0043972b","source":{"kind":"arxiv","id":"2411.04979","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.04979","created_at":"2026-07-05T10:18:44Z"},{"alias_kind":"arxiv_version","alias_value":"2411.04979v2","created_at":"2026-07-05T10:18:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.04979","created_at":"2026-07-05T10:18:44Z"},{"alias_kind":"pith_short_12","alias_value":"KPWO5Z42XBGN","created_at":"2026-07-05T10:18:44Z"},{"alias_kind":"pith_short_16","alias_value":"KPWO5Z42XBGN72LB","created_at":"2026-07-05T10:18:44Z"},{"alias_kind":"pith_short_8","alias_value":"KPWO5Z42","created_at":"2026-07-05T10:18:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:KPWO5Z42XBGN72LBPT64QXPUQS","target":"record","payload":{"canonical_record":{"source":{"id":"2411.04979","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-11-07T18:51:44Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"96463fbd8f85e349b3991909f1b3728da9dd10a579e82097dffe8998e8a6dd65","abstract_canon_sha256":"f5a35f805172328e017197c87b4b55e8dc1a6b0594777f609a7a7b5e350b59ea"},"schema_version":"1.0"},"canonical_sha256":"53eceee79ab84cdfe9617cfdc85df484a07265b4bf8e28fd920066dd0043972b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:18:44.801429Z","signature_b64":"RiG3Bg1V5qAiIAzSV1Mc/RoslfyN7+HxrlOb9zJOdsHHYbWqiWgo8cCK2x0lmuuj0q+ARbdxl8sisnzeeCsbCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53eceee79ab84cdfe9617cfdc85df484a07265b4bf8e28fd920066dd0043972b","last_reissued_at":"2026-07-05T10:18:44.800861Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:18:44.800861Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.04979","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":"2026-07-05T10:18:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s+2oDwJxwm1TY2+mEeUstequsZFyMZnSMYvXmqtyXH8UrmR1SL8ZP8k2hfX5bOcMzhMv3zY/MscKXiDTEcOwBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T02:42:42.681544Z"},"content_sha256":"22d6c22bdd6d1af37a26e4a5736e764c1a2e44f35308103969a3355be5c7241b","schema_version":"1.0","event_id":"sha256:22d6c22bdd6d1af37a26e4a5736e764c1a2e44f35308103969a3355be5c7241b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:KPWO5Z42XBGN72LBPT64QXPUQS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum speedups in solving near-symmetric optimization problems by low-depth QAOA","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"quant-ph","authors_text":"Ashley Montanaro, Leo Zhou","submitted_at":"2024-11-07T18:51:44Z","abstract_excerpt":"We present new advances towards achieving exponential quantum speedups for solving optimization problems by low-depth quantum algorithms. Specifically, we focus on families of combinatorial optimization problems that exhibit symmetry and contain planted solutions. We rigorously prove that the 1-step Quantum Approximate Optimization Algorithm (QAOA) can achieve a success probability of $\\Omega(1/\\sqrt{n})$, and sometimes $\\Omega(1)$, for finding the exact solution in many cases. This allows us to prove a separation of $O(1)$ quantum queries and $\\Omega(n/\\log n)$ classical queries required to f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.04979","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.04979/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":"2026-07-05T10:18:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GahOSnQV5x+Z64mQKIyDCXGKmUWRGxRTlmXcuRxV1E4/OWPyUH3gJHRN3vfTJMxIPhC6CDgiKKkvnGjrUCjhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T02:42:42.682042Z"},"content_sha256":"f34032378b730d5cb52855a5a166f084388816ebfe3d42cd62df9d71fcf07f43","schema_version":"1.0","event_id":"sha256:f34032378b730d5cb52855a5a166f084388816ebfe3d42cd62df9d71fcf07f43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KPWO5Z42XBGN72LBPT64QXPUQS/bundle.json","state_url":"https://pith.science/pith/KPWO5Z42XBGN72LBPT64QXPUQS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KPWO5Z42XBGN72LBPT64QXPUQS/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":"2026-08-18T02:42:42Z","links":{"resolver":"https://pith.science/pith/KPWO5Z42XBGN72LBPT64QXPUQS","bundle":"https://pith.science/pith/KPWO5Z42XBGN72LBPT64QXPUQS/bundle.json","state":"https://pith.science/pith/KPWO5Z42XBGN72LBPT64QXPUQS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KPWO5Z42XBGN72LBPT64QXPUQS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KPWO5Z42XBGN72LBPT64QXPUQS","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":"f5a35f805172328e017197c87b4b55e8dc1a6b0594777f609a7a7b5e350b59ea","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-11-07T18:51:44Z","title_canon_sha256":"96463fbd8f85e349b3991909f1b3728da9dd10a579e82097dffe8998e8a6dd65"},"schema_version":"1.0","source":{"id":"2411.04979","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.04979","created_at":"2026-07-05T10:18:44Z"},{"alias_kind":"arxiv_version","alias_value":"2411.04979v2","created_at":"2026-07-05T10:18:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.04979","created_at":"2026-07-05T10:18:44Z"},{"alias_kind":"pith_short_12","alias_value":"KPWO5Z42XBGN","created_at":"2026-07-05T10:18:44Z"},{"alias_kind":"pith_short_16","alias_value":"KPWO5Z42XBGN72LB","created_at":"2026-07-05T10:18:44Z"},{"alias_kind":"pith_short_8","alias_value":"KPWO5Z42","created_at":"2026-07-05T10:18:44Z"}],"graph_snapshots":[{"event_id":"sha256:f34032378b730d5cb52855a5a166f084388816ebfe3d42cd62df9d71fcf07f43","target":"graph","created_at":"2026-07-05T10:18:44Z","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/2411.04979/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present new advances towards achieving exponential quantum speedups for solving optimization problems by low-depth quantum algorithms. Specifically, we focus on families of combinatorial optimization problems that exhibit symmetry and contain planted solutions. We rigorously prove that the 1-step Quantum Approximate Optimization Algorithm (QAOA) can achieve a success probability of $\\Omega(1/\\sqrt{n})$, and sometimes $\\Omega(1)$, for finding the exact solution in many cases. This allows us to prove a separation of $O(1)$ quantum queries and $\\Omega(n/\\log n)$ classical queries required to f","authors_text":"Ashley Montanaro, Leo Zhou","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-11-07T18:51:44Z","title":"Quantum speedups in solving near-symmetric optimization problems by low-depth QAOA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.04979","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":"sha256:22d6c22bdd6d1af37a26e4a5736e764c1a2e44f35308103969a3355be5c7241b","target":"record","created_at":"2026-07-05T10:18:44Z","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":"f5a35f805172328e017197c87b4b55e8dc1a6b0594777f609a7a7b5e350b59ea","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-11-07T18:51:44Z","title_canon_sha256":"96463fbd8f85e349b3991909f1b3728da9dd10a579e82097dffe8998e8a6dd65"},"schema_version":"1.0","source":{"id":"2411.04979","kind":"arxiv","version":2}},"canonical_sha256":"53eceee79ab84cdfe9617cfdc85df484a07265b4bf8e28fd920066dd0043972b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53eceee79ab84cdfe9617cfdc85df484a07265b4bf8e28fd920066dd0043972b","first_computed_at":"2026-07-05T10:18:44.800861Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:18:44.800861Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RiG3Bg1V5qAiIAzSV1Mc/RoslfyN7+HxrlOb9zJOdsHHYbWqiWgo8cCK2x0lmuuj0q+ARbdxl8sisnzeeCsbCA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:18:44.801429Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.04979","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22d6c22bdd6d1af37a26e4a5736e764c1a2e44f35308103969a3355be5c7241b","sha256:f34032378b730d5cb52855a5a166f084388816ebfe3d42cd62df9d71fcf07f43"],"state_sha256":"304998113271cbb1c851e45d06da123fdb5717906f649ab3a4c801eb2bb7e50b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bG0rIz7LqYQq+aZw2y1iopQ/gSEz2LKfi5uQw8OBWYaIA45N/kaccncnT0+ln36Jb+LD9ip1RJKbgDF6+JYBCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T02:42:42.686183Z","bundle_sha256":"b61508b7f83fa6b8138ad9503ee81a8fe194def7e404b454879a89b1221f4a6a"}}