{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:SMHMU3H2WQKCXOFD4Y7CDONDIO","short_pith_number":"pith:SMHMU3H2","canonical_record":{"source":{"id":"quant-ph/0601065","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2006-01-11T07:53:50Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"f1101c97ecf49d37e490fbab4bacb80817c0d8d281e04e896575a692ae0525c7","abstract_canon_sha256":"46ccfc389446a43e4a42cd21134bc7d2fb34ba96ed37934d92b55b349c84bd34"},"schema_version":"1.0"},"canonical_sha256":"930eca6cfab4142bb8a3e63e21b9a343aaa5bfc761444e4c19f3a6590320619e","source":{"kind":"arxiv","id":"quant-ph/0601065","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0601065","created_at":"2026-05-18T02:05:22Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0601065v3","created_at":"2026-05-18T02:05:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0601065","created_at":"2026-05-18T02:05:22Z"},{"alias_kind":"pith_short_12","alias_value":"SMHMU3H2WQKC","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"SMHMU3H2WQKCXOFD","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"SMHMU3H2","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:SMHMU3H2WQKCXOFD4Y7CDONDIO","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0601065","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2006-01-11T07:53:50Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"f1101c97ecf49d37e490fbab4bacb80817c0d8d281e04e896575a692ae0525c7","abstract_canon_sha256":"46ccfc389446a43e4a42cd21134bc7d2fb34ba96ed37934d92b55b349c84bd34"},"schema_version":"1.0"},"canonical_sha256":"930eca6cfab4142bb8a3e63e21b9a343aaa5bfc761444e4c19f3a6590320619e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:22.065690Z","signature_b64":"/khKxm/mTk758bo/b0F10JxNpTdt+raRNgnzP+60LDXPt4r1DLtqm0AK+C2L6jPGgliyfBfr4cbdil06yCy4Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"930eca6cfab4142bb8a3e63e21b9a343aaa5bfc761444e4c19f3a6590320619e","last_reissued_at":"2026-05-18T02:05:22.064948Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:22.064948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0601065","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:05:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aCpTWuv0R52dwY1rikFT5XhTMTrBxTfE/xPn7haLxc0NruRC/MD1SzMQpO0u7Zngr9l/CysWH6qlcbS2jrYfDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:31:51.913554Z"},"content_sha256":"93c7bab1762ffd44e16a50162c1598f79c180c4958de456e9294b73b99067b4e","schema_version":"1.0","event_id":"sha256:93c7bab1762ffd44e16a50162c1598f79c180c4958de456e9294b73b99067b4e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:SMHMU3H2WQKCXOFD4Y7CDONDIO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black holes are almost optimal quantum cloners","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"quant-ph","authors_text":"C. Adami, G. Ver Steeg","submitted_at":"2006-01-11T07:53:50Z","abstract_excerpt":"If black holes were able to clone quantum states, a number of paradoxes in black hole physics would disappear. However, the linearity of quantum mechanics forbids exact cloning of quantum states. Here we show that black holes indeed clone incoming quantum states with a fidelity that depends on the black hole's absorption coefficient, without violating the no-cloning theorem because the clones are only approximate. Perfectly reflecting black holes are optimal universal \"quantum cloning machines\" and operate on the principle of stimulated emission, exactly as their quantum optical counterparts. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0601065","kind":"arxiv","version":3},"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":"2026-05-18T02:05:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mN3yIwj/TihnuLX35wCjiMT8PJA3D8JevnfCR8VRHqKVP9eXf15kDBewaxHvjKFgkVL3xk3ND3orRT+1umRwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:31:51.914302Z"},"content_sha256":"ef919177e9e5286f39bf3bfd93065901b5db7f77bd4b2947569749189d6be89b","schema_version":"1.0","event_id":"sha256:ef919177e9e5286f39bf3bfd93065901b5db7f77bd4b2947569749189d6be89b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SMHMU3H2WQKCXOFD4Y7CDONDIO/bundle.json","state_url":"https://pith.science/pith/SMHMU3H2WQKCXOFD4Y7CDONDIO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SMHMU3H2WQKCXOFD4Y7CDONDIO/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":"2026-06-11T23:31:51Z","links":{"resolver":"https://pith.science/pith/SMHMU3H2WQKCXOFD4Y7CDONDIO","bundle":"https://pith.science/pith/SMHMU3H2WQKCXOFD4Y7CDONDIO/bundle.json","state":"https://pith.science/pith/SMHMU3H2WQKCXOFD4Y7CDONDIO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SMHMU3H2WQKCXOFD4Y7CDONDIO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:SMHMU3H2WQKCXOFD4Y7CDONDIO","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":"46ccfc389446a43e4a42cd21134bc7d2fb34ba96ed37934d92b55b349c84bd34","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2006-01-11T07:53:50Z","title_canon_sha256":"f1101c97ecf49d37e490fbab4bacb80817c0d8d281e04e896575a692ae0525c7"},"schema_version":"1.0","source":{"id":"quant-ph/0601065","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0601065","created_at":"2026-05-18T02:05:22Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0601065v3","created_at":"2026-05-18T02:05:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0601065","created_at":"2026-05-18T02:05:22Z"},{"alias_kind":"pith_short_12","alias_value":"SMHMU3H2WQKC","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"SMHMU3H2WQKCXOFD","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"SMHMU3H2","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:ef919177e9e5286f39bf3bfd93065901b5db7f77bd4b2947569749189d6be89b","target":"graph","created_at":"2026-05-18T02:05:22Z","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":"If black holes were able to clone quantum states, a number of paradoxes in black hole physics would disappear. However, the linearity of quantum mechanics forbids exact cloning of quantum states. Here we show that black holes indeed clone incoming quantum states with a fidelity that depends on the black hole's absorption coefficient, without violating the no-cloning theorem because the clones are only approximate. Perfectly reflecting black holes are optimal universal \"quantum cloning machines\" and operate on the principle of stimulated emission, exactly as their quantum optical counterparts. ","authors_text":"C. Adami, G. Ver Steeg","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2006-01-11T07:53:50Z","title":"Black holes are almost optimal quantum cloners"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0601065","kind":"arxiv","version":3},"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":"sha256:93c7bab1762ffd44e16a50162c1598f79c180c4958de456e9294b73b99067b4e","target":"record","created_at":"2026-05-18T02:05:22Z","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":"46ccfc389446a43e4a42cd21134bc7d2fb34ba96ed37934d92b55b349c84bd34","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2006-01-11T07:53:50Z","title_canon_sha256":"f1101c97ecf49d37e490fbab4bacb80817c0d8d281e04e896575a692ae0525c7"},"schema_version":"1.0","source":{"id":"quant-ph/0601065","kind":"arxiv","version":3}},"canonical_sha256":"930eca6cfab4142bb8a3e63e21b9a343aaa5bfc761444e4c19f3a6590320619e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"930eca6cfab4142bb8a3e63e21b9a343aaa5bfc761444e4c19f3a6590320619e","first_computed_at":"2026-05-18T02:05:22.064948Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:22.064948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/khKxm/mTk758bo/b0F10JxNpTdt+raRNgnzP+60LDXPt4r1DLtqm0AK+C2L6jPGgliyfBfr4cbdil06yCy4Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:22.065690Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0601065","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93c7bab1762ffd44e16a50162c1598f79c180c4958de456e9294b73b99067b4e","sha256:ef919177e9e5286f39bf3bfd93065901b5db7f77bd4b2947569749189d6be89b"],"state_sha256":"4f0f02bd0b9d4306543dd971c8f5cfc0c2c7693de60464fe174a5740321896cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ccp6PY4CIxzNFV0WmQwcIjuhq/P+KbPUPZHJxlm4mgbpnmJCUONLbQT7cuA+iAgRVJxtFA2+Iey7c6VOX6L/Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T23:31:51.918972Z","bundle_sha256":"71d08446e0b363044db7a1e33d18c2e17bf85e13cce216461522039a64733f35"}}