{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:J5GH32WVTU4MW4GUI5O4XSJHWL","short_pith_number":"pith:J5GH32WV","canonical_record":{"source":{"id":"1603.06985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-22T21:14:37Z","cross_cats_sorted":["cs.CC","cs.DS"],"title_canon_sha256":"8dd21950bf1963d680543628fa0cda2dbaa8e334e3d81d9c4ed6aee48a3766e3","abstract_canon_sha256":"f7927df3e5bf6d92895145e8307b5a3d65d1d153ea415784dbc398c1a092a417"},"schema_version":"1.0"},"canonical_sha256":"4f4c7dead59d38cb70d4475dcbc927b2c4aad0986820cb71c97a74e876b09abe","source":{"kind":"arxiv","id":"1603.06985","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06985","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06985v1","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06985","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"J5GH32WVTU4M","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J5GH32WVTU4MW4GU","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J5GH32WV","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:J5GH32WVTU4MW4GUI5O4XSJHWL","target":"record","payload":{"canonical_record":{"source":{"id":"1603.06985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-22T21:14:37Z","cross_cats_sorted":["cs.CC","cs.DS"],"title_canon_sha256":"8dd21950bf1963d680543628fa0cda2dbaa8e334e3d81d9c4ed6aee48a3766e3","abstract_canon_sha256":"f7927df3e5bf6d92895145e8307b5a3d65d1d153ea415784dbc398c1a092a417"},"schema_version":"1.0"},"canonical_sha256":"4f4c7dead59d38cb70d4475dcbc927b2c4aad0986820cb71c97a74e876b09abe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:24.750206Z","signature_b64":"IzCx5DcuTMsEGmTj+Kypt7vpN/MwWO3sgd2x7ifitB2gxrsezZwXTj/9bT96itIQ54DoEZMs6k3U/Is5sL0VBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f4c7dead59d38cb70d4475dcbc927b2c4aad0986820cb71c97a74e876b09abe","last_reissued_at":"2026-05-18T01:18:24.749406Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:24.749406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.06985","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":"2026-05-18T01:18:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DKEXV5D+A0SVjtlMG6rr5I/8XkDwljCDHQTxzYoBdXMCByfcKsMhCKlQPNoFMAqxZJSlYTi09LtEftQU0cMzAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:47:48.344337Z"},"content_sha256":"5fd77e8d39b71aea41fa8f8efa5e2228ad01ac47f012dd783009a65ed764452c","schema_version":"1.0","event_id":"sha256:5fd77e8d39b71aea41fa8f8efa5e2228ad01ac47f012dd783009a65ed764452c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:J5GH32WVTU4MW4GUI5O4XSJHWL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Quantum Version of Sch\\\"oning's Algorithm Applied to Quantum 2-SAT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.DS"],"primary_cat":"quant-ph","authors_text":"Edward Farhi, Kristan Temme, Shelby Kimmel","submitted_at":"2016-03-22T21:14:37Z","abstract_excerpt":"We study a quantum algorithm that consists of a simple quantum Markov process, and we analyze its behavior on restricted versions of Quantum 2-SAT. We prove that the algorithm solves this decision problem with high probability for n qubits, L clauses, and promise gap c in time O(n^2 L^2 c^{-2}). If the Hamiltonian is additionally polynomially gapped, our algorithm efficiently produces a state that has high overlap with the satisfying subspace. The Markov process we study is a quantum analogue of Sch\\\"oning's probabilistic algorithm for k-SAT."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06985","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":"2026-05-18T01:18:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/j11isGsni4yw7pJ7h6ozWS+eeyaVtoB4EJq+nwsl7XzWCKdQrZxQh2oTLEFGN4F0I7uMD/2GkTMX/YxZ68JBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:47:48.345170Z"},"content_sha256":"03c3b785531df1e0dd4f7b37bc016db84206523ab1d61e610cc0209ef4c54485","schema_version":"1.0","event_id":"sha256:03c3b785531df1e0dd4f7b37bc016db84206523ab1d61e610cc0209ef4c54485"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J5GH32WVTU4MW4GUI5O4XSJHWL/bundle.json","state_url":"https://pith.science/pith/J5GH32WVTU4MW4GUI5O4XSJHWL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J5GH32WVTU4MW4GUI5O4XSJHWL/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":"2026-05-31T20:47:48Z","links":{"resolver":"https://pith.science/pith/J5GH32WVTU4MW4GUI5O4XSJHWL","bundle":"https://pith.science/pith/J5GH32WVTU4MW4GUI5O4XSJHWL/bundle.json","state":"https://pith.science/pith/J5GH32WVTU4MW4GUI5O4XSJHWL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J5GH32WVTU4MW4GUI5O4XSJHWL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:J5GH32WVTU4MW4GUI5O4XSJHWL","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":"f7927df3e5bf6d92895145e8307b5a3d65d1d153ea415784dbc398c1a092a417","cross_cats_sorted":["cs.CC","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-22T21:14:37Z","title_canon_sha256":"8dd21950bf1963d680543628fa0cda2dbaa8e334e3d81d9c4ed6aee48a3766e3"},"schema_version":"1.0","source":{"id":"1603.06985","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06985","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06985v1","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06985","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"J5GH32WVTU4M","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J5GH32WVTU4MW4GU","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J5GH32WV","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:03c3b785531df1e0dd4f7b37bc016db84206523ab1d61e610cc0209ef4c54485","target":"graph","created_at":"2026-05-18T01:18:24Z","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":"We study a quantum algorithm that consists of a simple quantum Markov process, and we analyze its behavior on restricted versions of Quantum 2-SAT. We prove that the algorithm solves this decision problem with high probability for n qubits, L clauses, and promise gap c in time O(n^2 L^2 c^{-2}). If the Hamiltonian is additionally polynomially gapped, our algorithm efficiently produces a state that has high overlap with the satisfying subspace. The Markov process we study is a quantum analogue of Sch\\\"oning's probabilistic algorithm for k-SAT.","authors_text":"Edward Farhi, Kristan Temme, Shelby Kimmel","cross_cats":["cs.CC","cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-22T21:14:37Z","title":"A Quantum Version of Sch\\\"oning's Algorithm Applied to Quantum 2-SAT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06985","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":"sha256:5fd77e8d39b71aea41fa8f8efa5e2228ad01ac47f012dd783009a65ed764452c","target":"record","created_at":"2026-05-18T01:18:24Z","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":"f7927df3e5bf6d92895145e8307b5a3d65d1d153ea415784dbc398c1a092a417","cross_cats_sorted":["cs.CC","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-22T21:14:37Z","title_canon_sha256":"8dd21950bf1963d680543628fa0cda2dbaa8e334e3d81d9c4ed6aee48a3766e3"},"schema_version":"1.0","source":{"id":"1603.06985","kind":"arxiv","version":1}},"canonical_sha256":"4f4c7dead59d38cb70d4475dcbc927b2c4aad0986820cb71c97a74e876b09abe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f4c7dead59d38cb70d4475dcbc927b2c4aad0986820cb71c97a74e876b09abe","first_computed_at":"2026-05-18T01:18:24.749406Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:24.749406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IzCx5DcuTMsEGmTj+Kypt7vpN/MwWO3sgd2x7ifitB2gxrsezZwXTj/9bT96itIQ54DoEZMs6k3U/Is5sL0VBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:24.750206Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.06985","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fd77e8d39b71aea41fa8f8efa5e2228ad01ac47f012dd783009a65ed764452c","sha256:03c3b785531df1e0dd4f7b37bc016db84206523ab1d61e610cc0209ef4c54485"],"state_sha256":"e5f78c679ac1d751b134082756d8e958d1ff1af91428d9c610cdaf71098d1f81"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OUygi8zp5y3u63g0I00JJ5HoPCoiXDGRG9tM++/Qz15jnYdGRVhPjy6koEpW34t6qqjJUvyEv5QxsVdGn9jPBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:47:48.349194Z","bundle_sha256":"56545c5fb923edf9bbbecdba2b0bc5a12084aeb39e28e10550058dda40d4d230"}}