{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YOYLYZAHNN5O65UJWJ2ICCOKOR","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":"35d130ee67627628d12fde1a7fc08274656b67fa9cf5e8ed173122a9cf3d7887","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-26T14:52:22Z","title_canon_sha256":"569b02acd32d9264a57d296b6e6b94201208267e2ec81bef0ea2cac3f95ce5d6"},"schema_version":"1.0","source":{"id":"1505.06979","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06979","created_at":"2026-05-18T01:14:04Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06979v1","created_at":"2026-05-18T01:14:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06979","created_at":"2026-05-18T01:14:04Z"},{"alias_kind":"pith_short_12","alias_value":"YOYLYZAHNN5O","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YOYLYZAHNN5O65UJ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YOYLYZAH","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:84ce8d56c66acf45eb179d80b28ac0c084656fa571798ae008a6ab35af180804","target":"graph","created_at":"2026-05-18T01:14:04Z","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":"We solve the long-standing problem of making n perfect clones from m copies of one of two known pure states with minimum failure probability in the general case where the known states have arbitrary a priori probabilities. The solution emerges from a geometric formulation of the problem. This formulation also reveals a deeper connection between cloning and state discrimination. The convergence of cloning to state discrimination as the number of clones goes to infinity exhibits a phenomenon analogous to a second order symmetry breaking phase transition.","authors_text":"Andi Shehu, Edgar Feldman, Emilio Bagan, Janos A. Bergou, Vadim Yerokhin","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-26T14:52:22Z","title":"Probabilistically Perfect Cloning of Two Pure States: A Geometric Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06979","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":"sha256:06d409368d1c79fcb7b41c717a8ee3f72cb55a3f34e23f723690754031614388","target":"record","created_at":"2026-05-18T01:14:04Z","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":"35d130ee67627628d12fde1a7fc08274656b67fa9cf5e8ed173122a9cf3d7887","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-26T14:52:22Z","title_canon_sha256":"569b02acd32d9264a57d296b6e6b94201208267e2ec81bef0ea2cac3f95ce5d6"},"schema_version":"1.0","source":{"id":"1505.06979","kind":"arxiv","version":1}},"canonical_sha256":"c3b0bc64076b7aef7689b2748109ca746fda93bea2c035903d6078e6f0069d7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3b0bc64076b7aef7689b2748109ca746fda93bea2c035903d6078e6f0069d7e","first_computed_at":"2026-05-18T01:14:04.245047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:04.245047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R0vwM5O0lwmnhdzKR8LPo1DznGotC2vHF9wvtZlNvI9uAoIDbLRve/9njkgx59y0T1LrOZCgnEKIHvgX2C3lBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:04.245834Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.06979","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06d409368d1c79fcb7b41c717a8ee3f72cb55a3f34e23f723690754031614388","sha256:84ce8d56c66acf45eb179d80b28ac0c084656fa571798ae008a6ab35af180804"],"state_sha256":"b926b65197db63ba712172cf874c74261b5e9b834056cf59d09225535bff3701"}