{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:27NMVCLL64X64P7OIJ262ZDQPF","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":"b0d75e25fb2be5d40a5c594ccae07130ef5f638d422272f8e6155e81bc0afe8a","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1998-06-24T23:51:37Z","title_canon_sha256":"8890042c3403782968b20029238e444f8f4c63136137061f0b277a3954e74082"},"schema_version":"1.0","source":{"id":"quant-ph/9806084","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9806084","created_at":"2026-07-04T14:47:13Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9806084v1","created_at":"2026-07-04T14:47:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9806084","created_at":"2026-07-04T14:47:13Z"},{"alias_kind":"pith_short_12","alias_value":"27NMVCLL64X6","created_at":"2026-07-04T14:47:13Z"},{"alias_kind":"pith_short_16","alias_value":"27NMVCLL64X64P7O","created_at":"2026-07-04T14:47:13Z"},{"alias_kind":"pith_short_8","alias_value":"27NMVCLL","created_at":"2026-07-04T14:47:13Z"}],"graph_snapshots":[{"event_id":"sha256:6ae514231eccd8de317477731967db33b71cd0b81b67e0000e25d31dbdb415a5","target":"graph","created_at":"2026-07-04T14:47:13Z","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/quant-ph/9806084/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present fast and highly parallelized versions of Shor's algorithm. With a sizable quantum computer it would then be possible to factor numbers with millions of digits. The main algorithm presented here uses FFT-based fast integer multiplication. The quick reader can just read the introduction and the ``Results'' section.","authors_text":"Christof Zalka (T-6 LANL)","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1998-06-24T23:51:37Z","title":"Fast versions of Shor's quantum factoring algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9806084","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":"sha256:45395223e945f74fb7350ab1edd46cb6bcc364ebdf2e293814b7c6592d2bd394","target":"record","created_at":"2026-07-04T14:47:13Z","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":"b0d75e25fb2be5d40a5c594ccae07130ef5f638d422272f8e6155e81bc0afe8a","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1998-06-24T23:51:37Z","title_canon_sha256":"8890042c3403782968b20029238e444f8f4c63136137061f0b277a3954e74082"},"schema_version":"1.0","source":{"id":"quant-ph/9806084","kind":"arxiv","version":1}},"canonical_sha256":"d7daca896bf72fee3fee4275ed6470797785fcacf1cc5ed5abb9081323e769be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7daca896bf72fee3fee4275ed6470797785fcacf1cc5ed5abb9081323e769be","first_computed_at":"2026-07-04T14:47:13.175645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:47:13.175645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zmS+ykVHk9lmD6AUwwoEomBmJWuPAOcwS3raBVbESYnetpvmmC/doBg3DDOZbtPcKvC/0P5lVNENEhDQvYINDg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:47:13.176059Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9806084","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45395223e945f74fb7350ab1edd46cb6bcc364ebdf2e293814b7c6592d2bd394","sha256:6ae514231eccd8de317477731967db33b71cd0b81b67e0000e25d31dbdb415a5"],"state_sha256":"afd87d813c987cdf4cddf9a3cb157a070215370d7a5531179b59b5cb927aeec5"}