{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:IPH2I44PJYMYIQFNCODNYY2WHU","short_pith_number":"pith:IPH2I44P","canonical_record":{"source":{"id":"2511.23451","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-11-28T18:42:11Z","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"title_canon_sha256":"98c74a62812f99a1fddb403bd86fb6382d2d2c80117011556a33145b720f9020","abstract_canon_sha256":"c953085d51a289b996f18656138951e4dd8209ff254db50557d81b33bd680c37"},"schema_version":"1.0"},"canonical_sha256":"43cfa4738f4e198440ad1386dc63563d3f9f3c65e08564ef52465bbc7d6893d0","source":{"kind":"arxiv","id":"2511.23451","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.23451","created_at":"2026-06-23T03:14:27Z"},{"alias_kind":"arxiv_version","alias_value":"2511.23451v3","created_at":"2026-06-23T03:14:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.23451","created_at":"2026-06-23T03:14:27Z"},{"alias_kind":"pith_short_12","alias_value":"IPH2I44PJYMY","created_at":"2026-06-23T03:14:27Z"},{"alias_kind":"pith_short_16","alias_value":"IPH2I44PJYMYIQFN","created_at":"2026-06-23T03:14:27Z"},{"alias_kind":"pith_short_8","alias_value":"IPH2I44P","created_at":"2026-06-23T03:14:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:IPH2I44PJYMYIQFNCODNYY2WHU","target":"record","payload":{"canonical_record":{"source":{"id":"2511.23451","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-11-28T18:42:11Z","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"title_canon_sha256":"98c74a62812f99a1fddb403bd86fb6382d2d2c80117011556a33145b720f9020","abstract_canon_sha256":"c953085d51a289b996f18656138951e4dd8209ff254db50557d81b33bd680c37"},"schema_version":"1.0"},"canonical_sha256":"43cfa4738f4e198440ad1386dc63563d3f9f3c65e08564ef52465bbc7d6893d0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T03:14:27.712883Z","signature_b64":"nX5LC7J25HPWjzpEdDq7DbYkKTHk52mmJk4dA4qEQnZ/uoViJOVZSRUfamNIJrVtgMuZFZPl/upEzUEufQRfBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43cfa4738f4e198440ad1386dc63563d3f9f3c65e08564ef52465bbc7d6893d0","last_reissued_at":"2026-06-23T03:14:27.712398Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T03:14:27.712398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2511.23451","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":"2026-06-23T03:14:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HdTFQXaBu0SpnfYDW5720sLJjoGW6FtwbHGqwx1SnEKTeQK/LsSY+oGYqzAOAcRlIUDkMpAvUGA6/O9WgAjZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T13:47:55.571995Z"},"content_sha256":"405f64d537231a5aa7b286a48d4f423322b7ebddaff12e18a4254df822e475d7","schema_version":"1.0","event_id":"sha256:405f64d537231a5aa7b286a48d4f423322b7ebddaff12e18a4254df822e475d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:IPH2I44PJYMYIQFNCODNYY2WHU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random purification channel made simple","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Filippo Girardi, Francesco Anna Mele, Ludovico Lami","submitted_at":"2025-11-28T18:42:11Z","abstract_excerpt":"The recently introduced random purification channel, which converts $n$ i.i.d. copies of any mixed quantum state into a uniform convex combination of $n$ i.i.d. copies of its purifications, has proved to be an extremely useful tool in quantum learning theory. Here we give a remarkably simple construction of this channel, making its known properties -- and several new ones -- immediately transparent. In particular, we show that the channel also purifies non-i.i.d. states: it transforms any permutationally symmetric state into a uniform convex combination of permutationally symmetric purificatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.23451","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2511.23451/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":"2026-06-23T03:14:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eCllKGHbKpDASvvkVylA71PNAfdMC6p2Knq6ou7JkM3PbUEjMAg9arRfocZ5hDEZL0CqchwBaFfEBBlqVLv1DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T13:47:55.572360Z"},"content_sha256":"d4171924826f2c2e4508cbed5a9fc5f8a0d1fb5a984f67715a7f57713abb4627","schema_version":"1.0","event_id":"sha256:d4171924826f2c2e4508cbed5a9fc5f8a0d1fb5a984f67715a7f57713abb4627"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IPH2I44PJYMYIQFNCODNYY2WHU/bundle.json","state_url":"https://pith.science/pith/IPH2I44PJYMYIQFNCODNYY2WHU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IPH2I44PJYMYIQFNCODNYY2WHU/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":"2026-06-30T13:47:55Z","links":{"resolver":"https://pith.science/pith/IPH2I44PJYMYIQFNCODNYY2WHU","bundle":"https://pith.science/pith/IPH2I44PJYMYIQFNCODNYY2WHU/bundle.json","state":"https://pith.science/pith/IPH2I44PJYMYIQFNCODNYY2WHU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IPH2I44PJYMYIQFNCODNYY2WHU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IPH2I44PJYMYIQFNCODNYY2WHU","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":"c953085d51a289b996f18656138951e4dd8209ff254db50557d81b33bd680c37","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-11-28T18:42:11Z","title_canon_sha256":"98c74a62812f99a1fddb403bd86fb6382d2d2c80117011556a33145b720f9020"},"schema_version":"1.0","source":{"id":"2511.23451","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.23451","created_at":"2026-06-23T03:14:27Z"},{"alias_kind":"arxiv_version","alias_value":"2511.23451v3","created_at":"2026-06-23T03:14:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.23451","created_at":"2026-06-23T03:14:27Z"},{"alias_kind":"pith_short_12","alias_value":"IPH2I44PJYMY","created_at":"2026-06-23T03:14:27Z"},{"alias_kind":"pith_short_16","alias_value":"IPH2I44PJYMYIQFN","created_at":"2026-06-23T03:14:27Z"},{"alias_kind":"pith_short_8","alias_value":"IPH2I44P","created_at":"2026-06-23T03:14:27Z"}],"graph_snapshots":[{"event_id":"sha256:d4171924826f2c2e4508cbed5a9fc5f8a0d1fb5a984f67715a7f57713abb4627","target":"graph","created_at":"2026-06-23T03:14:27Z","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/2511.23451/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The recently introduced random purification channel, which converts $n$ i.i.d. copies of any mixed quantum state into a uniform convex combination of $n$ i.i.d. copies of its purifications, has proved to be an extremely useful tool in quantum learning theory. Here we give a remarkably simple construction of this channel, making its known properties -- and several new ones -- immediately transparent. In particular, we show that the channel also purifies non-i.i.d. states: it transforms any permutationally symmetric state into a uniform convex combination of permutationally symmetric purificatio","authors_text":"Filippo Girardi, Francesco Anna Mele, Ludovico Lami","cross_cats":["cond-mat.other","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-11-28T18:42:11Z","title":"Random purification channel made simple"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.23451","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":"sha256:405f64d537231a5aa7b286a48d4f423322b7ebddaff12e18a4254df822e475d7","target":"record","created_at":"2026-06-23T03:14:27Z","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":"c953085d51a289b996f18656138951e4dd8209ff254db50557d81b33bd680c37","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-11-28T18:42:11Z","title_canon_sha256":"98c74a62812f99a1fddb403bd86fb6382d2d2c80117011556a33145b720f9020"},"schema_version":"1.0","source":{"id":"2511.23451","kind":"arxiv","version":3}},"canonical_sha256":"43cfa4738f4e198440ad1386dc63563d3f9f3c65e08564ef52465bbc7d6893d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43cfa4738f4e198440ad1386dc63563d3f9f3c65e08564ef52465bbc7d6893d0","first_computed_at":"2026-06-23T03:14:27.712398Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T03:14:27.712398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nX5LC7J25HPWjzpEdDq7DbYkKTHk52mmJk4dA4qEQnZ/uoViJOVZSRUfamNIJrVtgMuZFZPl/upEzUEufQRfBg==","signature_status":"signed_v1","signed_at":"2026-06-23T03:14:27.712883Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.23451","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:405f64d537231a5aa7b286a48d4f423322b7ebddaff12e18a4254df822e475d7","sha256:d4171924826f2c2e4508cbed5a9fc5f8a0d1fb5a984f67715a7f57713abb4627"],"state_sha256":"d356fb82e7e68a4aad2ead19ecff2f02981841010c8b6e244e0a9d87c5a8ea27"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VNe4+mvUpOn3NtlD2aEkwpN3UkMVFHs4YDZ8NpDSgyO7U2gkffqvw1pI/VLshU9mSUh3vcPMGRS5BXwtbB8LAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T13:47:55.576796Z","bundle_sha256":"1ae6bf96a6d768539a67b49e843721c3b099779b0706cc4faa3a0d3da348bf3e"}}