{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:FMKNNHBNKNV6MEV42XIP62EQ5V","short_pith_number":"pith:FMKNNHBN","canonical_record":{"source":{"id":"2405.01780","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2024-05-02T23:45:29Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"c9d6ecb6ab29ee73a684a539f225a6c52391c54d4c47d5234356d21934e6fe29","abstract_canon_sha256":"17e44e7e32c21264d9fbf4a85b0c1a5b846966ac105c5d7e1b21ac0d8d021484"},"schema_version":"1.0"},"canonical_sha256":"2b14d69c2d536be612bcd5d0ff6890ed46f2d184703e38246550813583ac80a0","source":{"kind":"arxiv","id":"2405.01780","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.01780","created_at":"2026-07-05T08:16:27Z"},{"alias_kind":"arxiv_version","alias_value":"2405.01780v1","created_at":"2026-07-05T08:16:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.01780","created_at":"2026-07-05T08:16:27Z"},{"alias_kind":"pith_short_12","alias_value":"FMKNNHBNKNV6","created_at":"2026-07-05T08:16:27Z"},{"alias_kind":"pith_short_16","alias_value":"FMKNNHBNKNV6MEV4","created_at":"2026-07-05T08:16:27Z"},{"alias_kind":"pith_short_8","alias_value":"FMKNNHBN","created_at":"2026-07-05T08:16:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:FMKNNHBNKNV6MEV42XIP62EQ5V","target":"record","payload":{"canonical_record":{"source":{"id":"2405.01780","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2024-05-02T23:45:29Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"c9d6ecb6ab29ee73a684a539f225a6c52391c54d4c47d5234356d21934e6fe29","abstract_canon_sha256":"17e44e7e32c21264d9fbf4a85b0c1a5b846966ac105c5d7e1b21ac0d8d021484"},"schema_version":"1.0"},"canonical_sha256":"2b14d69c2d536be612bcd5d0ff6890ed46f2d184703e38246550813583ac80a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:16:27.814094Z","signature_b64":"RddrJDpqSXXKg4te010on36OgwFueJcrYYz6k7JwHqG1yTtpro4r4PUOUD8CgvNKZj4I2l7OxDaOS8BWtS0OCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b14d69c2d536be612bcd5d0ff6890ed46f2d184703e38246550813583ac80a0","last_reissued_at":"2026-07-05T08:16:27.812579Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:16:27.812579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.01780","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":"2026-07-05T08:16:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fbPpzagh4TiTzK0tQY4F5wEqseZiMCwuNsneZr85wSDxALS4crnpi36AWKZ8hWvnWTTJiU8C6jk8mZ7unR8ADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T04:12:16.897368Z"},"content_sha256":"4b1def0e800fe0fd5f0b3f0773521d83526b53a8b41cbce174c7ff3d5b699c9f","schema_version":"1.0","event_id":"sha256:4b1def0e800fe0fd5f0b3f0773521d83526b53a8b41cbce174c7ff3d5b699c9f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:FMKNNHBNKNV6MEV42XIP62EQ5V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Machine Learning: Quantum Kernel Methods","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"quant-ph","authors_text":"Sanjeev Naguleswaran","submitted_at":"2024-05-02T23:45:29Z","abstract_excerpt":"Quantum algorithms based on quantum kernel methods have been investigated previously [1]. A quantum advantage is derived from the fact that it is possible to construct a family of datasets for which, only quantum processing can recognise the intrinsic labelling patterns, while for classical computers the dataset looks like noise. This is due to the algorithm leveraging inherent efficiencies in the computation of logarithms in a cyclic group. The discrete log problem.is a well-known advantage of quantum vs classical computation: where it is possible to generate all the members of the group usin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.01780","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2405.01780/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":"2026-07-05T08:16:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qx9U+O3X9oCpmJNEQvw0pXUoVkP97UXV39sFhFn82RdGeApW9vLxl2SPFOgyJzW1dV4Zp6ereCq2S5qEzxouBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T04:12:16.898159Z"},"content_sha256":"c8bce0ac5432f473bc7ee0507a91a1b5e110ccb48d556d5625fff0951461f7a0","schema_version":"1.0","event_id":"sha256:c8bce0ac5432f473bc7ee0507a91a1b5e110ccb48d556d5625fff0951461f7a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FMKNNHBNKNV6MEV42XIP62EQ5V/bundle.json","state_url":"https://pith.science/pith/FMKNNHBNKNV6MEV42XIP62EQ5V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FMKNNHBNKNV6MEV42XIP62EQ5V/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":"2026-08-21T04:12:16Z","links":{"resolver":"https://pith.science/pith/FMKNNHBNKNV6MEV42XIP62EQ5V","bundle":"https://pith.science/pith/FMKNNHBNKNV6MEV42XIP62EQ5V/bundle.json","state":"https://pith.science/pith/FMKNNHBNKNV6MEV42XIP62EQ5V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FMKNNHBNKNV6MEV42XIP62EQ5V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:FMKNNHBNKNV6MEV42XIP62EQ5V","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":"17e44e7e32c21264d9fbf4a85b0c1a5b846966ac105c5d7e1b21ac0d8d021484","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2024-05-02T23:45:29Z","title_canon_sha256":"c9d6ecb6ab29ee73a684a539f225a6c52391c54d4c47d5234356d21934e6fe29"},"schema_version":"1.0","source":{"id":"2405.01780","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.01780","created_at":"2026-07-05T08:16:27Z"},{"alias_kind":"arxiv_version","alias_value":"2405.01780v1","created_at":"2026-07-05T08:16:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.01780","created_at":"2026-07-05T08:16:27Z"},{"alias_kind":"pith_short_12","alias_value":"FMKNNHBNKNV6","created_at":"2026-07-05T08:16:27Z"},{"alias_kind":"pith_short_16","alias_value":"FMKNNHBNKNV6MEV4","created_at":"2026-07-05T08:16:27Z"},{"alias_kind":"pith_short_8","alias_value":"FMKNNHBN","created_at":"2026-07-05T08:16:27Z"}],"graph_snapshots":[{"event_id":"sha256:c8bce0ac5432f473bc7ee0507a91a1b5e110ccb48d556d5625fff0951461f7a0","target":"graph","created_at":"2026-07-05T08:16:27Z","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/2405.01780/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum algorithms based on quantum kernel methods have been investigated previously [1]. A quantum advantage is derived from the fact that it is possible to construct a family of datasets for which, only quantum processing can recognise the intrinsic labelling patterns, while for classical computers the dataset looks like noise. This is due to the algorithm leveraging inherent efficiencies in the computation of logarithms in a cyclic group. The discrete log problem.is a well-known advantage of quantum vs classical computation: where it is possible to generate all the members of the group usin","authors_text":"Sanjeev Naguleswaran","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2024-05-02T23:45:29Z","title":"Quantum Machine Learning: Quantum Kernel Methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.01780","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":"sha256:4b1def0e800fe0fd5f0b3f0773521d83526b53a8b41cbce174c7ff3d5b699c9f","target":"record","created_at":"2026-07-05T08:16:27Z","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":"17e44e7e32c21264d9fbf4a85b0c1a5b846966ac105c5d7e1b21ac0d8d021484","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2024-05-02T23:45:29Z","title_canon_sha256":"c9d6ecb6ab29ee73a684a539f225a6c52391c54d4c47d5234356d21934e6fe29"},"schema_version":"1.0","source":{"id":"2405.01780","kind":"arxiv","version":1}},"canonical_sha256":"2b14d69c2d536be612bcd5d0ff6890ed46f2d184703e38246550813583ac80a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b14d69c2d536be612bcd5d0ff6890ed46f2d184703e38246550813583ac80a0","first_computed_at":"2026-07-05T08:16:27.812579Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:16:27.812579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RddrJDpqSXXKg4te010on36OgwFueJcrYYz6k7JwHqG1yTtpro4r4PUOUD8CgvNKZj4I2l7OxDaOS8BWtS0OCw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:16:27.814094Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.01780","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b1def0e800fe0fd5f0b3f0773521d83526b53a8b41cbce174c7ff3d5b699c9f","sha256:c8bce0ac5432f473bc7ee0507a91a1b5e110ccb48d556d5625fff0951461f7a0"],"state_sha256":"75afca3837b49a2b736506bf9f4dbaf52f884c3d94f580e13519f24ef9f0b5b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9i9m7pa2uBfy0PGxL+rAodT4nF7iHDt3POGGzAD0HfK6Kq5m7jGhSsmdHZfhHCnaBpXXRCTXt0cpkXiqnrLvBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T04:12:16.902630Z","bundle_sha256":"1dc3664324b3610b1912246486669e4e0d838da3d83659d3480244ca91ba25ca"}}