{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:HPJNQOUFCZZIRJKLRDO4IJFPFM","short_pith_number":"pith:HPJNQOUF","canonical_record":{"source":{"id":"1503.05712","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-19T11:12:17Z","cross_cats_sorted":[],"title_canon_sha256":"2b925f463b12848d5262f0f60b91869368dac8727e647d2ee82432f8edff6a0b","abstract_canon_sha256":"d4e103b92cf727a5faa47d94dd76b435f93052f38925f938cd1eba2f9b553109"},"schema_version":"1.0"},"canonical_sha256":"3bd2d83a85167288a54b88ddc424af2b1a356ebbb08c6cf15b8fdbc21870f35c","source":{"kind":"arxiv","id":"1503.05712","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05712","created_at":"2026-05-18T01:55:01Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05712v1","created_at":"2026-05-18T01:55:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05712","created_at":"2026-05-18T01:55:01Z"},{"alias_kind":"pith_short_12","alias_value":"HPJNQOUFCZZI","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HPJNQOUFCZZIRJKL","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HPJNQOUF","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:HPJNQOUFCZZIRJKLRDO4IJFPFM","target":"record","payload":{"canonical_record":{"source":{"id":"1503.05712","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-19T11:12:17Z","cross_cats_sorted":[],"title_canon_sha256":"2b925f463b12848d5262f0f60b91869368dac8727e647d2ee82432f8edff6a0b","abstract_canon_sha256":"d4e103b92cf727a5faa47d94dd76b435f93052f38925f938cd1eba2f9b553109"},"schema_version":"1.0"},"canonical_sha256":"3bd2d83a85167288a54b88ddc424af2b1a356ebbb08c6cf15b8fdbc21870f35c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:01.195892Z","signature_b64":"2Wq5ud/j/jpyCV6r7wfwBn99byBKyjpVVxRCxxJu3q7QEuGi5Z7Uqr0j9Pmag5QBRraez/ldv5lIc4bMJUAAAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bd2d83a85167288a54b88ddc424af2b1a356ebbb08c6cf15b8fdbc21870f35c","last_reissued_at":"2026-05-18T01:55:01.195192Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:01.195192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.05712","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":"2026-05-18T01:55:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"onH5veorfkeqpSKXj/XfH8xgYSroBq7w86ABD8ihfTZ9IgTKa/M4aLUvhgYNfzAM6ZQawEdG4YQS5dIRSpMHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:43:43.109093Z"},"content_sha256":"f313f986a76594c95f7edd75541413061055e2e5b37807f667a9b6bc5c1038b9","schema_version":"1.0","event_id":"sha256:f313f986a76594c95f7edd75541413061055e2e5b37807f667a9b6bc5c1038b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:HPJNQOUFCZZIRJKLRDO4IJFPFM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Faster quantum searching with almost arbitrary operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Avatar Tulsi","submitted_at":"2015-03-19T11:12:17Z","abstract_excerpt":"Grover search algorithm drives a quantum system from an initial state to a desired final state by using selective phase inversions of these two states. In (1), we studied a generalization of Grover algorithm which relaxes the assumption of the efficient implementation of the selective phase inversion of the initial state, also known as diffusion operator. This assumption is known to become a serious handicap in cases of physical interest (2,3,4,5). Our general search algorithm works with almost arbitrary diffusion operator with only restriction of having the initial state as one of its eigenst"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05712","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":"2026-05-18T01:55:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nBQcJ6nUVENwRIrQmCaawc2Cvoacfxogoq6+r5tV94iM7T2DWMNHQ+dzfonmFFLiqKpJOUlWv1L3H7UuJbHvAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:43:43.109453Z"},"content_sha256":"7beb1c36f781cbcb2c58950f789b5df93cdfc2ad38eb9bfe93587635e9d65e4b","schema_version":"1.0","event_id":"sha256:7beb1c36f781cbcb2c58950f789b5df93cdfc2ad38eb9bfe93587635e9d65e4b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HPJNQOUFCZZIRJKLRDO4IJFPFM/bundle.json","state_url":"https://pith.science/pith/HPJNQOUFCZZIRJKLRDO4IJFPFM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HPJNQOUFCZZIRJKLRDO4IJFPFM/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":"2026-06-12T10:43:43Z","links":{"resolver":"https://pith.science/pith/HPJNQOUFCZZIRJKLRDO4IJFPFM","bundle":"https://pith.science/pith/HPJNQOUFCZZIRJKLRDO4IJFPFM/bundle.json","state":"https://pith.science/pith/HPJNQOUFCZZIRJKLRDO4IJFPFM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HPJNQOUFCZZIRJKLRDO4IJFPFM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HPJNQOUFCZZIRJKLRDO4IJFPFM","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":"d4e103b92cf727a5faa47d94dd76b435f93052f38925f938cd1eba2f9b553109","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-19T11:12:17Z","title_canon_sha256":"2b925f463b12848d5262f0f60b91869368dac8727e647d2ee82432f8edff6a0b"},"schema_version":"1.0","source":{"id":"1503.05712","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05712","created_at":"2026-05-18T01:55:01Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05712v1","created_at":"2026-05-18T01:55:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05712","created_at":"2026-05-18T01:55:01Z"},{"alias_kind":"pith_short_12","alias_value":"HPJNQOUFCZZI","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HPJNQOUFCZZIRJKL","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HPJNQOUF","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:7beb1c36f781cbcb2c58950f789b5df93cdfc2ad38eb9bfe93587635e9d65e4b","target":"graph","created_at":"2026-05-18T01:55:01Z","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":"Grover search algorithm drives a quantum system from an initial state to a desired final state by using selective phase inversions of these two states. In (1), we studied a generalization of Grover algorithm which relaxes the assumption of the efficient implementation of the selective phase inversion of the initial state, also known as diffusion operator. This assumption is known to become a serious handicap in cases of physical interest (2,3,4,5). Our general search algorithm works with almost arbitrary diffusion operator with only restriction of having the initial state as one of its eigenst","authors_text":"Avatar Tulsi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-19T11:12:17Z","title":"Faster quantum searching with almost arbitrary operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05712","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:f313f986a76594c95f7edd75541413061055e2e5b37807f667a9b6bc5c1038b9","target":"record","created_at":"2026-05-18T01:55:01Z","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":"d4e103b92cf727a5faa47d94dd76b435f93052f38925f938cd1eba2f9b553109","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-19T11:12:17Z","title_canon_sha256":"2b925f463b12848d5262f0f60b91869368dac8727e647d2ee82432f8edff6a0b"},"schema_version":"1.0","source":{"id":"1503.05712","kind":"arxiv","version":1}},"canonical_sha256":"3bd2d83a85167288a54b88ddc424af2b1a356ebbb08c6cf15b8fdbc21870f35c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bd2d83a85167288a54b88ddc424af2b1a356ebbb08c6cf15b8fdbc21870f35c","first_computed_at":"2026-05-18T01:55:01.195192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:01.195192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Wq5ud/j/jpyCV6r7wfwBn99byBKyjpVVxRCxxJu3q7QEuGi5Z7Uqr0j9Pmag5QBRraez/ldv5lIc4bMJUAAAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:01.195892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.05712","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f313f986a76594c95f7edd75541413061055e2e5b37807f667a9b6bc5c1038b9","sha256:7beb1c36f781cbcb2c58950f789b5df93cdfc2ad38eb9bfe93587635e9d65e4b"],"state_sha256":"d602e2d457418a12788d65b338269cd6db5687688a20c722b021f8d786b8b47e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QC8ZEVVPY+nluDCQ2ABud89MuXtwuOyuUSknfdQFnGLcMw0nc8iYsm3G3C4zMcVqGPybSp8aAERdAW7WukKHBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T10:43:43.111694Z","bundle_sha256":"065fa381eba40a45b0120ba5ada8fe208daf3895b68165c0722f9757596a0307"}}