{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SRB3W332XXAM2UT5VSKJECKPMJ","short_pith_number":"pith:SRB3W332","canonical_record":{"source":{"id":"1012.3319","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2010-12-15T13:08:29Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"016e7d08ab1c228f92d4ef9c75667a7f747b2c2dd8bc8c4880d03aa73d434a56","abstract_canon_sha256":"c69375c8d3faaf6f72009e4488795b81b4b54e9ae73611353342f6b8ed1bc3ea"},"schema_version":"1.0"},"canonical_sha256":"9443bb6f7abdc0cd527dac9492094f6267cfa6d6f79252d12bb10f2683ee996d","source":{"kind":"arxiv","id":"1012.3319","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3319","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3319v2","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3319","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"SRB3W332XXAM","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SRB3W332XXAM2UT5","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SRB3W332","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SRB3W332XXAM2UT5VSKJECKPMJ","target":"record","payload":{"canonical_record":{"source":{"id":"1012.3319","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2010-12-15T13:08:29Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"016e7d08ab1c228f92d4ef9c75667a7f747b2c2dd8bc8c4880d03aa73d434a56","abstract_canon_sha256":"c69375c8d3faaf6f72009e4488795b81b4b54e9ae73611353342f6b8ed1bc3ea"},"schema_version":"1.0"},"canonical_sha256":"9443bb6f7abdc0cd527dac9492094f6267cfa6d6f79252d12bb10f2683ee996d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:54.857922Z","signature_b64":"yJRZocWZlSEQR8U/f4SkuKofOHpGzY101CbHqFkClWJPkqb4aPf3O7IKoaBbz4qgU/Kc5f/lHi6tFXnVWCmbCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9443bb6f7abdc0cd527dac9492094f6267cfa6d6f79252d12bb10f2683ee996d","last_reissued_at":"2026-05-18T03:53:54.857347Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:54.857347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.3319","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":"2026-05-18T03:53:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uTsTKfv7SfRwcNz+n0973nIaFOzcqQ6dMpFhqX8XTkoG3Bxp9v0JFHfk1Lpiy3A6DvlKNKWRObM3uwkuVXKqCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:11:46.089049Z"},"content_sha256":"b59aadca3a620c5ef9d076267d5ddb7441ab2462f5e8e1d2e8dd168414c35ac8","schema_version":"1.0","event_id":"sha256:b59aadca3a620c5ef9d076267d5ddb7441ab2462f5e8e1d2e8dd168414c35ac8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SRB3W332XXAM2UT5VSKJECKPMJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note about a partial no-go theorem for quantum PCP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cs.CC","authors_text":"Itai Arad","submitted_at":"2010-12-15T13:08:29Z","abstract_excerpt":"This is not a disproof of the quantum PCP conjecture!\n  In this note we use perturbation on the commuting Hamiltonian problem on a graph, based on results by Bravyi and Vyalyi, to provide a partial no-go theorem for quantum PCP. Specifically, we derive an upper bound on how large the promise gap can be for the quantum PCP still to hold, as a function of the non-commuteness of the system. As the system becomes more and more commuting, the maximal promise gap shrinks.\n  We view these results as possibly a preliminary step towards disproving the quantum PCP conjecture. A different way to view the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3319","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":"2026-05-18T03:53:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t31/oqF6A12ofIyXVuk1Q2QtonQp/Piz9laYw98wvIBD25D24QzeKU8v9bEEL6D16ms63wFb0aqa1Ii4eCi/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:11:46.089403Z"},"content_sha256":"8b77f509c023aa2e0af5c3f70449c02870894f6801285ec7037809e735c7a9dd","schema_version":"1.0","event_id":"sha256:8b77f509c023aa2e0af5c3f70449c02870894f6801285ec7037809e735c7a9dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SRB3W332XXAM2UT5VSKJECKPMJ/bundle.json","state_url":"https://pith.science/pith/SRB3W332XXAM2UT5VSKJECKPMJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SRB3W332XXAM2UT5VSKJECKPMJ/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":"2026-06-03T08:11:46Z","links":{"resolver":"https://pith.science/pith/SRB3W332XXAM2UT5VSKJECKPMJ","bundle":"https://pith.science/pith/SRB3W332XXAM2UT5VSKJECKPMJ/bundle.json","state":"https://pith.science/pith/SRB3W332XXAM2UT5VSKJECKPMJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SRB3W332XXAM2UT5VSKJECKPMJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SRB3W332XXAM2UT5VSKJECKPMJ","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":"c69375c8d3faaf6f72009e4488795b81b4b54e9ae73611353342f6b8ed1bc3ea","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2010-12-15T13:08:29Z","title_canon_sha256":"016e7d08ab1c228f92d4ef9c75667a7f747b2c2dd8bc8c4880d03aa73d434a56"},"schema_version":"1.0","source":{"id":"1012.3319","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3319","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3319v2","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3319","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"SRB3W332XXAM","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SRB3W332XXAM2UT5","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SRB3W332","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:8b77f509c023aa2e0af5c3f70449c02870894f6801285ec7037809e735c7a9dd","target":"graph","created_at":"2026-05-18T03:53:54Z","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":"This is not a disproof of the quantum PCP conjecture!\n  In this note we use perturbation on the commuting Hamiltonian problem on a graph, based on results by Bravyi and Vyalyi, to provide a partial no-go theorem for quantum PCP. Specifically, we derive an upper bound on how large the promise gap can be for the quantum PCP still to hold, as a function of the non-commuteness of the system. As the system becomes more and more commuting, the maximal promise gap shrinks.\n  We view these results as possibly a preliminary step towards disproving the quantum PCP conjecture. A different way to view the","authors_text":"Itai Arad","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2010-12-15T13:08:29Z","title":"A note about a partial no-go theorem for quantum PCP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3319","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:b59aadca3a620c5ef9d076267d5ddb7441ab2462f5e8e1d2e8dd168414c35ac8","target":"record","created_at":"2026-05-18T03:53:54Z","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":"c69375c8d3faaf6f72009e4488795b81b4b54e9ae73611353342f6b8ed1bc3ea","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2010-12-15T13:08:29Z","title_canon_sha256":"016e7d08ab1c228f92d4ef9c75667a7f747b2c2dd8bc8c4880d03aa73d434a56"},"schema_version":"1.0","source":{"id":"1012.3319","kind":"arxiv","version":2}},"canonical_sha256":"9443bb6f7abdc0cd527dac9492094f6267cfa6d6f79252d12bb10f2683ee996d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9443bb6f7abdc0cd527dac9492094f6267cfa6d6f79252d12bb10f2683ee996d","first_computed_at":"2026-05-18T03:53:54.857347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:54.857347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yJRZocWZlSEQR8U/f4SkuKofOHpGzY101CbHqFkClWJPkqb4aPf3O7IKoaBbz4qgU/Kc5f/lHi6tFXnVWCmbCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:54.857922Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.3319","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b59aadca3a620c5ef9d076267d5ddb7441ab2462f5e8e1d2e8dd168414c35ac8","sha256:8b77f509c023aa2e0af5c3f70449c02870894f6801285ec7037809e735c7a9dd"],"state_sha256":"96c53593c8af16bfc2cd99e816d839bc7e7daef5625e5b03bd31d47d348c8797"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YVlAwW3f+j0SCCJ5tc/4YsXSgoMw8NaGEDlA85hWG0oaG8am+UsQxTc2Ge/gj0/83sMjKNaPBzwsC911on1xBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:11:46.091284Z","bundle_sha256":"97c983666004fa836cebe3cb8d4e6a92da0ec2d680edc1914cc351a24a1b3333"}}