{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:K5ETII66VY3HDVOKNBTCUD3UH7","short_pith_number":"pith:K5ETII66","canonical_record":{"source":{"id":"2512.21260","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-12-24T16:09:38Z","cross_cats_sorted":[],"title_canon_sha256":"375b49a0fd1f6822f4bcb6da600ccf8230e8df5ea6842ee27033740b22e3ca6f","abstract_canon_sha256":"2682f4cb8bdc46631334966273bf6551a5a96abc2d2b367b08e8ede8951603da"},"schema_version":"1.0"},"canonical_sha256":"57493423deae3671d5ca68662a0f743fccbd6e335bb74c97a37588abc78da2dd","source":{"kind":"arxiv","id":"2512.21260","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.21260","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"arxiv_version","alias_value":"2512.21260v2","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.21260","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"pith_short_12","alias_value":"K5ETII66VY3H","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"pith_short_16","alias_value":"K5ETII66VY3HDVOK","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"pith_short_8","alias_value":"K5ETII66","created_at":"2026-05-20T00:03:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:K5ETII66VY3HDVOKNBTCUD3UH7","target":"record","payload":{"canonical_record":{"source":{"id":"2512.21260","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-12-24T16:09:38Z","cross_cats_sorted":[],"title_canon_sha256":"375b49a0fd1f6822f4bcb6da600ccf8230e8df5ea6842ee27033740b22e3ca6f","abstract_canon_sha256":"2682f4cb8bdc46631334966273bf6551a5a96abc2d2b367b08e8ede8951603da"},"schema_version":"1.0"},"canonical_sha256":"57493423deae3671d5ca68662a0f743fccbd6e335bb74c97a37588abc78da2dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:03:00.782569Z","signature_b64":"RgaDPSB9RcpJwR78bBB3/ACPP/H7LheAiow3KVdBnZZEg1liCn40UgjQYlm42QriIHBDWc/gQ6q80pR2oUShDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57493423deae3671d5ca68662a0f743fccbd6e335bb74c97a37588abc78da2dd","last_reissued_at":"2026-05-20T00:03:00.781801Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:03:00.781801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2512.21260","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T00:03:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u2NVV0bc658pgVWmrvdoXu/8zmZIXUWdP5SVi58tZ+Ec5F5kmBj00zl5ObwlznGBt8pRY2VMgaCu5/EInqStDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T16:06:09.125596Z"},"content_sha256":"79931ca5f64b5585602016d58a15961a3856dfabbb932c34860c001ced197add","schema_version":"1.0","event_id":"sha256:79931ca5f64b5585602016d58a15961a3856dfabbb932c34860c001ced197add"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:K5ETII66VY3HDVOKNBTCUD3UH7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random dilation superchannel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Mio Murao, Ryotaro Niwa, Ryuji Takagi, Satoshi Yoshida, Takeru Utsumi","submitted_at":"2025-12-24T16:09:38Z","abstract_excerpt":"We present a quantum circuit that implements the random dilation superchannel, transforming parallel queries of an unknown quantum channel into the same number of parallel queries of a randomly chosen dilation isometry of the input channel. This is a natural generalization of the random purification channel, that transforms copies of an unknown mixed state to copies of a randomly chosen purification state. The circuit complexity of our construction is $O(\\mathrm{poly}(n, \\log d_I, \\log d_O))$, where $n$ is the number of queries and $d_I$ and $d_O$ are the input and output dimensions of the inp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.21260","kind":"arxiv","version":2},"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/2512.21260/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":"2026-05-20T00:03:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dIfnp+oG7Tx/cmw8hkC+rAKjXbuXgXGAFl+l3uimWoaBGJDt0QPOXFiQtevW8kuT6WOT1HTDtYZHH0lGI5fEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T16:06:09.126285Z"},"content_sha256":"e1648abce318f1e68ff037958e60d4258391fbea47cb904a55dae3360d566757","schema_version":"1.0","event_id":"sha256:e1648abce318f1e68ff037958e60d4258391fbea47cb904a55dae3360d566757"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K5ETII66VY3HDVOKNBTCUD3UH7/bundle.json","state_url":"https://pith.science/pith/K5ETII66VY3HDVOKNBTCUD3UH7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K5ETII66VY3HDVOKNBTCUD3UH7/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":"2026-05-23T16:06:09Z","links":{"resolver":"https://pith.science/pith/K5ETII66VY3HDVOKNBTCUD3UH7","bundle":"https://pith.science/pith/K5ETII66VY3HDVOKNBTCUD3UH7/bundle.json","state":"https://pith.science/pith/K5ETII66VY3HDVOKNBTCUD3UH7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K5ETII66VY3HDVOKNBTCUD3UH7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:K5ETII66VY3HDVOKNBTCUD3UH7","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":"2682f4cb8bdc46631334966273bf6551a5a96abc2d2b367b08e8ede8951603da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-12-24T16:09:38Z","title_canon_sha256":"375b49a0fd1f6822f4bcb6da600ccf8230e8df5ea6842ee27033740b22e3ca6f"},"schema_version":"1.0","source":{"id":"2512.21260","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.21260","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"arxiv_version","alias_value":"2512.21260v2","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.21260","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"pith_short_12","alias_value":"K5ETII66VY3H","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"pith_short_16","alias_value":"K5ETII66VY3HDVOK","created_at":"2026-05-20T00:03:00Z"},{"alias_kind":"pith_short_8","alias_value":"K5ETII66","created_at":"2026-05-20T00:03:00Z"}],"graph_snapshots":[{"event_id":"sha256:e1648abce318f1e68ff037958e60d4258391fbea47cb904a55dae3360d566757","target":"graph","created_at":"2026-05-20T00:03:00Z","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/2512.21260/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a quantum circuit that implements the random dilation superchannel, transforming parallel queries of an unknown quantum channel into the same number of parallel queries of a randomly chosen dilation isometry of the input channel. This is a natural generalization of the random purification channel, that transforms copies of an unknown mixed state to copies of a randomly chosen purification state. The circuit complexity of our construction is $O(\\mathrm{poly}(n, \\log d_I, \\log d_O))$, where $n$ is the number of queries and $d_I$ and $d_O$ are the input and output dimensions of the inp","authors_text":"Mio Murao, Ryotaro Niwa, Ryuji Takagi, Satoshi Yoshida, Takeru Utsumi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-12-24T16:09:38Z","title":"Random dilation superchannel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.21260","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":"sha256:79931ca5f64b5585602016d58a15961a3856dfabbb932c34860c001ced197add","target":"record","created_at":"2026-05-20T00:03:00Z","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":"2682f4cb8bdc46631334966273bf6551a5a96abc2d2b367b08e8ede8951603da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-12-24T16:09:38Z","title_canon_sha256":"375b49a0fd1f6822f4bcb6da600ccf8230e8df5ea6842ee27033740b22e3ca6f"},"schema_version":"1.0","source":{"id":"2512.21260","kind":"arxiv","version":2}},"canonical_sha256":"57493423deae3671d5ca68662a0f743fccbd6e335bb74c97a37588abc78da2dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57493423deae3671d5ca68662a0f743fccbd6e335bb74c97a37588abc78da2dd","first_computed_at":"2026-05-20T00:03:00.781801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:00.781801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RgaDPSB9RcpJwR78bBB3/ACPP/H7LheAiow3KVdBnZZEg1liCn40UgjQYlm42QriIHBDWc/gQ6q80pR2oUShDw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:00.782569Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.21260","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79931ca5f64b5585602016d58a15961a3856dfabbb932c34860c001ced197add","sha256:e1648abce318f1e68ff037958e60d4258391fbea47cb904a55dae3360d566757"],"state_sha256":"3776e3fdcc81dfc89fe368d9982462f1d2bd0ad8372a4514d1ddc7f21d1e74e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gUBEFCdR9oPMEad1JRxnvnTyitqJ1gkr08F39IabfwWRdoho4ecGr1j4AXa45NQqlC1dmsQwuHcVjrRFmq+2Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T16:06:09.129559Z","bundle_sha256":"413d3674dd83acc4404145e3094840e4cab5df24b98029b6e0d3d85fcaf7dd48"}}