{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:C5XXGO3G4UJ4GC7RVSO7P43E5Y","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":"035d3bce9f3bffc84477b5d72e7a046c6af3e9a7842466e0a6416c2c14e5820d","cross_cats_sorted":["cs.CC","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-10-28T17:54:43Z","title_canon_sha256":"9f2c8923b18c9c5aafd450aa6a41c6d8c206f94a4d8eaf00b630cd81fce87e5b"},"schema_version":"1.0","source":{"id":"2410.21258","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.21258","created_at":"2026-06-19T16:11:09Z"},{"alias_kind":"arxiv_version","alias_value":"2410.21258v2","created_at":"2026-06-19T16:11:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.21258","created_at":"2026-06-19T16:11:09Z"},{"alias_kind":"pith_short_12","alias_value":"C5XXGO3G4UJ4","created_at":"2026-06-19T16:11:09Z"},{"alias_kind":"pith_short_16","alias_value":"C5XXGO3G4UJ4GC7R","created_at":"2026-06-19T16:11:09Z"},{"alias_kind":"pith_short_8","alias_value":"C5XXGO3G","created_at":"2026-06-19T16:11:09Z"}],"graph_snapshots":[{"event_id":"sha256:5a5a0e30701bbbad14377c851ebeea640a4591241c4c487138bbb0e5928f878a","target":"graph","created_at":"2026-06-19T16:11:09Z","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/2410.21258/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Topological data analysis (TDA) aims to extract noise-robust features from a data set by examining the number and persistence of holes in its topology. We provide an efficient quantum algorithm for a computational problem closely related to a core task in TDA -- determining whether a given hole persists across different length scales. Further, we prove the problem itself is $\\mathsf{BQP}_1$-hard, implying that a classical solution is extremely unlikely; this stands in contrast to all previous quantum approaches to TDA, where the problems were also intractable for quantum computers, or where a ","authors_text":"Alexander Schmidhuber, Casper Gyurik, Robbie King, Ryu Hayakawa, Vedran Dunjko","cross_cats":["cs.CC","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-10-28T17:54:43Z","title":"Provable quantum speedups for computing persistence in topological data analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.21258","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":"sha256:20166c57b7241a86fcc5d55c0850809d3cd9ebc29fe375ec5908f09ffa9b0cf2","target":"record","created_at":"2026-06-19T16:11:09Z","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":"035d3bce9f3bffc84477b5d72e7a046c6af3e9a7842466e0a6416c2c14e5820d","cross_cats_sorted":["cs.CC","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-10-28T17:54:43Z","title_canon_sha256":"9f2c8923b18c9c5aafd450aa6a41c6d8c206f94a4d8eaf00b630cd81fce87e5b"},"schema_version":"1.0","source":{"id":"2410.21258","kind":"arxiv","version":2}},"canonical_sha256":"176f733b66e513c30bf1ac9df7f364ee3f94efde34137c6d8efa926eb744a231","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"176f733b66e513c30bf1ac9df7f364ee3f94efde34137c6d8efa926eb744a231","first_computed_at":"2026-06-19T16:11:09.021026Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:11:09.021026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jq+t4obV4A7RDGB1F6OXqOwTDy1ZabHYehGzQNkkjj8/NHQQrsyHcIspx9DBzJice0HoG3tnY/yTPO7hxhKlCA==","signature_status":"signed_v1","signed_at":"2026-06-19T16:11:09.021521Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.21258","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20166c57b7241a86fcc5d55c0850809d3cd9ebc29fe375ec5908f09ffa9b0cf2","sha256:5a5a0e30701bbbad14377c851ebeea640a4591241c4c487138bbb0e5928f878a"],"state_sha256":"d244bf56bda47222d3ae7f1507c9714320974bb7e9b5149f610dd4b5fab4f880"}