{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:7V2U47WDLPGEQB5EGUEGYLZZNX","short_pith_number":"pith:7V2U47WD","canonical_record":{"source":{"id":"2412.09672","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T19:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"a8976032bedbcdead8aafd553a7a70a39df49cb6cc989391f2f80401d143082e","abstract_canon_sha256":"fae3e95550fd40382a1a38f52faa35fdbf553d12d176495e2df4df928008bca0"},"schema_version":"1.0"},"canonical_sha256":"fd754e7ec35bcc4807a435086c2f396dfb3a248ebd339dbfc896a64616cba319","source":{"kind":"arxiv","id":"2412.09672","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.09672","created_at":"2026-07-05T10:18:46Z"},{"alias_kind":"arxiv_version","alias_value":"2412.09672v3","created_at":"2026-07-05T10:18:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.09672","created_at":"2026-07-05T10:18:46Z"},{"alias_kind":"pith_short_12","alias_value":"7V2U47WDLPGE","created_at":"2026-07-05T10:18:46Z"},{"alias_kind":"pith_short_16","alias_value":"7V2U47WDLPGEQB5E","created_at":"2026-07-05T10:18:46Z"},{"alias_kind":"pith_short_8","alias_value":"7V2U47WD","created_at":"2026-07-05T10:18:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:7V2U47WDLPGEQB5EGUEGYLZZNX","target":"record","payload":{"canonical_record":{"source":{"id":"2412.09672","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T19:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"a8976032bedbcdead8aafd553a7a70a39df49cb6cc989391f2f80401d143082e","abstract_canon_sha256":"fae3e95550fd40382a1a38f52faa35fdbf553d12d176495e2df4df928008bca0"},"schema_version":"1.0"},"canonical_sha256":"fd754e7ec35bcc4807a435086c2f396dfb3a248ebd339dbfc896a64616cba319","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:18:46.729280Z","signature_b64":"4ZEpdJACQ27sKVDtGy75iuMcX8CxvkzoOgMtzW110D2IKKtourRXq9VbUbOrnU6ovAzhRguTHZdcWUQ3hFFEDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd754e7ec35bcc4807a435086c2f396dfb3a248ebd339dbfc896a64616cba319","last_reissued_at":"2026-07-05T10:18:46.728782Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:18:46.728782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.09672","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":"2026-07-05T10:18:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zB9j9dfMIg1TPOpCFwQQsBizkCeB0aVByAhCsAPHsMtjGOMGtXQJ5pGuL6/HaHSNSRUzzktgdP+obaLIR9dvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T23:52:39.009847Z"},"content_sha256":"2ee7d7ed76108ec826d60ccf9da73ca84990217ff05d52bc1d9bad19b8a209ad","schema_version":"1.0","event_id":"sha256:2ee7d7ed76108ec826d60ccf9da73ca84990217ff05d52bc1d9bad19b8a209ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:7V2U47WDLPGEQB5EGUEGYLZZNX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Pushforward Designs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jakub Czartowski, Karol \\.Zyczkowski","submitted_at":"2024-12-12T19:00:00Z","abstract_excerpt":"Designs, structures connected to averaging with respect to a given measure using finite sets of points, have proven themselves as invaluable tools across the field of quantum information, finding their uses in state and process tomography, key distribution and others. In this work, we introduce a new concept of pushforward designs, which allows us to obtain new structures from already existing ones by mapping them between the spaces, with specific examples including simplex designs and mixed state designs from complex projective designs. Based on the general concept, we put forward a structure"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.09672","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/2412.09672/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":"2026-07-05T10:18:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3MbfRJTnHGYtZK8HwYEQqqpGpo7kjFeu3dAtuhS97i4GIXP+j7iAKLaX4PmoZ11XRo6N7GJ5X7kE5uJYF93+Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T23:52:39.010407Z"},"content_sha256":"d129bd5402b7b4d25339dd2d78c4dfa8e3ab06d3deb4c4a9edc4aead28a533c8","schema_version":"1.0","event_id":"sha256:d129bd5402b7b4d25339dd2d78c4dfa8e3ab06d3deb4c4a9edc4aead28a533c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7V2U47WDLPGEQB5EGUEGYLZZNX/bundle.json","state_url":"https://pith.science/pith/7V2U47WDLPGEQB5EGUEGYLZZNX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7V2U47WDLPGEQB5EGUEGYLZZNX/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":"2026-08-21T23:52:39Z","links":{"resolver":"https://pith.science/pith/7V2U47WDLPGEQB5EGUEGYLZZNX","bundle":"https://pith.science/pith/7V2U47WDLPGEQB5EGUEGYLZZNX/bundle.json","state":"https://pith.science/pith/7V2U47WDLPGEQB5EGUEGYLZZNX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7V2U47WDLPGEQB5EGUEGYLZZNX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7V2U47WDLPGEQB5EGUEGYLZZNX","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":"fae3e95550fd40382a1a38f52faa35fdbf553d12d176495e2df4df928008bca0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T19:00:00Z","title_canon_sha256":"a8976032bedbcdead8aafd553a7a70a39df49cb6cc989391f2f80401d143082e"},"schema_version":"1.0","source":{"id":"2412.09672","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.09672","created_at":"2026-07-05T10:18:46Z"},{"alias_kind":"arxiv_version","alias_value":"2412.09672v3","created_at":"2026-07-05T10:18:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.09672","created_at":"2026-07-05T10:18:46Z"},{"alias_kind":"pith_short_12","alias_value":"7V2U47WDLPGE","created_at":"2026-07-05T10:18:46Z"},{"alias_kind":"pith_short_16","alias_value":"7V2U47WDLPGEQB5E","created_at":"2026-07-05T10:18:46Z"},{"alias_kind":"pith_short_8","alias_value":"7V2U47WD","created_at":"2026-07-05T10:18:46Z"}],"graph_snapshots":[{"event_id":"sha256:d129bd5402b7b4d25339dd2d78c4dfa8e3ab06d3deb4c4a9edc4aead28a533c8","target":"graph","created_at":"2026-07-05T10:18:46Z","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/2412.09672/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Designs, structures connected to averaging with respect to a given measure using finite sets of points, have proven themselves as invaluable tools across the field of quantum information, finding their uses in state and process tomography, key distribution and others. In this work, we introduce a new concept of pushforward designs, which allows us to obtain new structures from already existing ones by mapping them between the spaces, with specific examples including simplex designs and mixed state designs from complex projective designs. Based on the general concept, we put forward a structure","authors_text":"Jakub Czartowski, Karol \\.Zyczkowski","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T19:00:00Z","title":"Quantum Pushforward Designs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.09672","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":"sha256:2ee7d7ed76108ec826d60ccf9da73ca84990217ff05d52bc1d9bad19b8a209ad","target":"record","created_at":"2026-07-05T10:18:46Z","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":"fae3e95550fd40382a1a38f52faa35fdbf553d12d176495e2df4df928008bca0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T19:00:00Z","title_canon_sha256":"a8976032bedbcdead8aafd553a7a70a39df49cb6cc989391f2f80401d143082e"},"schema_version":"1.0","source":{"id":"2412.09672","kind":"arxiv","version":3}},"canonical_sha256":"fd754e7ec35bcc4807a435086c2f396dfb3a248ebd339dbfc896a64616cba319","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd754e7ec35bcc4807a435086c2f396dfb3a248ebd339dbfc896a64616cba319","first_computed_at":"2026-07-05T10:18:46.728782Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:18:46.728782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4ZEpdJACQ27sKVDtGy75iuMcX8CxvkzoOgMtzW110D2IKKtourRXq9VbUbOrnU6ovAzhRguTHZdcWUQ3hFFEDg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:18:46.729280Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.09672","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ee7d7ed76108ec826d60ccf9da73ca84990217ff05d52bc1d9bad19b8a209ad","sha256:d129bd5402b7b4d25339dd2d78c4dfa8e3ab06d3deb4c4a9edc4aead28a533c8"],"state_sha256":"62317397641892ef41ce852f44fa1130b1c886ed7d1f88d1490293fa73ec14e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8GMXHDBNq19UPMD16kAmP5mfQ62BnZreVaSqQd1qXWBCB0+e55jVvbZerXCnnXX7WGUlAMCV7NzCUJSItJ56AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T23:52:39.016020Z","bundle_sha256":"d9fc96f832962e60efd990797ca73c9c72d5a3a2cf141fd739ac7795d02d44d1"}}