{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:JTZRIKE6DNXNHOJRWP5G3V74A6","short_pith_number":"pith:JTZRIKE6","canonical_record":{"source":{"id":"0901.2866","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-01-19T14:40:13Z","cross_cats_sorted":[],"title_canon_sha256":"404697ffd487358436eac4389642e7c6edbc85452ac69ffda3fe335a1b13c81f","abstract_canon_sha256":"2e25bd9e30eb595923e71b1cf41ccc2be44aca683e861555f7be2b666344fdf3"},"schema_version":"1.0"},"canonical_sha256":"4cf314289e1b6ed3b931b3fa6dd7fc079bc36c5b2f338c89e1c4f44f79fae588","source":{"kind":"arxiv","id":"0901.2866","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.2866","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"arxiv_version","alias_value":"0901.2866v1","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.2866","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"pith_short_12","alias_value":"JTZRIKE6DNXN","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JTZRIKE6DNXNHOJR","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JTZRIKE6","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:JTZRIKE6DNXNHOJRWP5G3V74A6","target":"record","payload":{"canonical_record":{"source":{"id":"0901.2866","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-01-19T14:40:13Z","cross_cats_sorted":[],"title_canon_sha256":"404697ffd487358436eac4389642e7c6edbc85452ac69ffda3fe335a1b13c81f","abstract_canon_sha256":"2e25bd9e30eb595923e71b1cf41ccc2be44aca683e861555f7be2b666344fdf3"},"schema_version":"1.0"},"canonical_sha256":"4cf314289e1b6ed3b931b3fa6dd7fc079bc36c5b2f338c89e1c4f44f79fae588","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:56.807413Z","signature_b64":"h/WTYHgLWg0wL6ik1SHwWb0UUlsNPMSPvYDh4tcRXUDf6usoTeoYK8gVAqG2dyIZqF/qF5Ua0piq4+0B2QujCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cf314289e1b6ed3b931b3fa6dd7fc079bc36c5b2f338c89e1c4f44f79fae588","last_reissued_at":"2026-05-18T02:14:56.806924Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:56.806924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.2866","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:14:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9BRIEaQRn5cOv7WkNTa9I+tWOuqBJrgODT0M+bBDLF6KIYFKcYiBlKnHRo4+IyxFElpTms55XSTpUWwyB8jnCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:27:26.159629Z"},"content_sha256":"00fcc4cd8128c59c352e7be50b2845cae2170f1bea4fb18a2308c1975fb4d1d4","schema_version":"1.0","event_id":"sha256:00fcc4cd8128c59c352e7be50b2845cae2170f1bea4fb18a2308c1975fb4d1d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:JTZRIKE6DNXNHOJRWP5G3V74A6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalized quantum tomography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"G. M. D'Ariano, M. F. Sacchi","submitted_at":"2009-01-19T14:40:13Z","abstract_excerpt":"The core of quantum tomography is the possibility of writing a generally unbounded complex operator in form of an expansion over operators that are generally nonlinear functions of a generally continuous set of spectral densities--the so-called \"quorum\" of observables. The expansion is generally non unique, the non unicity allowing further optimization for given criteria. The mathematical problem of tomography is thus the classification of all such operator expansions for given (suitably closed) linear spaces of unbounded operators--e.g. Banach spaces of operators with an appropriate norm. Suc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.2866","kind":"arxiv","version":1},"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":"2026-05-18T02:14:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Te2w+jZXh0yTDKdkJv4z/4mm3qhg3T8sY6wRSSyAU5iBGVwMUbFs+8uxmuXVKbQJNE7ZXgjonV+Wh6v3RpWbCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:27:26.159979Z"},"content_sha256":"156af48f637d53423101bf6a193088d381336f07648c1c60cefd605f1bb268de","schema_version":"1.0","event_id":"sha256:156af48f637d53423101bf6a193088d381336f07648c1c60cefd605f1bb268de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JTZRIKE6DNXNHOJRWP5G3V74A6/bundle.json","state_url":"https://pith.science/pith/JTZRIKE6DNXNHOJRWP5G3V74A6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JTZRIKE6DNXNHOJRWP5G3V74A6/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":"2026-05-29T17:27:26Z","links":{"resolver":"https://pith.science/pith/JTZRIKE6DNXNHOJRWP5G3V74A6","bundle":"https://pith.science/pith/JTZRIKE6DNXNHOJRWP5G3V74A6/bundle.json","state":"https://pith.science/pith/JTZRIKE6DNXNHOJRWP5G3V74A6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JTZRIKE6DNXNHOJRWP5G3V74A6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:JTZRIKE6DNXNHOJRWP5G3V74A6","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":"2e25bd9e30eb595923e71b1cf41ccc2be44aca683e861555f7be2b666344fdf3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-01-19T14:40:13Z","title_canon_sha256":"404697ffd487358436eac4389642e7c6edbc85452ac69ffda3fe335a1b13c81f"},"schema_version":"1.0","source":{"id":"0901.2866","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.2866","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"arxiv_version","alias_value":"0901.2866v1","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.2866","created_at":"2026-05-18T02:14:56Z"},{"alias_kind":"pith_short_12","alias_value":"JTZRIKE6DNXN","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JTZRIKE6DNXNHOJR","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JTZRIKE6","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:156af48f637d53423101bf6a193088d381336f07648c1c60cefd605f1bb268de","target":"graph","created_at":"2026-05-18T02:14:56Z","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":"The core of quantum tomography is the possibility of writing a generally unbounded complex operator in form of an expansion over operators that are generally nonlinear functions of a generally continuous set of spectral densities--the so-called \"quorum\" of observables. The expansion is generally non unique, the non unicity allowing further optimization for given criteria. The mathematical problem of tomography is thus the classification of all such operator expansions for given (suitably closed) linear spaces of unbounded operators--e.g. Banach spaces of operators with an appropriate norm. Suc","authors_text":"G. M. D'Ariano, M. F. Sacchi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-01-19T14:40:13Z","title":"Renormalized quantum tomography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.2866","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":"sha256:00fcc4cd8128c59c352e7be50b2845cae2170f1bea4fb18a2308c1975fb4d1d4","target":"record","created_at":"2026-05-18T02:14:56Z","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":"2e25bd9e30eb595923e71b1cf41ccc2be44aca683e861555f7be2b666344fdf3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-01-19T14:40:13Z","title_canon_sha256":"404697ffd487358436eac4389642e7c6edbc85452ac69ffda3fe335a1b13c81f"},"schema_version":"1.0","source":{"id":"0901.2866","kind":"arxiv","version":1}},"canonical_sha256":"4cf314289e1b6ed3b931b3fa6dd7fc079bc36c5b2f338c89e1c4f44f79fae588","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cf314289e1b6ed3b931b3fa6dd7fc079bc36c5b2f338c89e1c4f44f79fae588","first_computed_at":"2026-05-18T02:14:56.806924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:56.806924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h/WTYHgLWg0wL6ik1SHwWb0UUlsNPMSPvYDh4tcRXUDf6usoTeoYK8gVAqG2dyIZqF/qF5Ua0piq4+0B2QujCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:56.807413Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.2866","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00fcc4cd8128c59c352e7be50b2845cae2170f1bea4fb18a2308c1975fb4d1d4","sha256:156af48f637d53423101bf6a193088d381336f07648c1c60cefd605f1bb268de"],"state_sha256":"c217d4f804b2b120be2c451448bcb020e6f6872a025afc9300541b5572824caf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NV3PpkANPT3zqpVg7CTO9ZDqv9NaT9r9mjKtEZf1QQppAMfdlFy6AeaYL2e8NK6UCJIpoeuMSEDZthxady24Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T17:27:26.162323Z","bundle_sha256":"a8bbb19559697f619ed88939e88bb4cdba239e52d01e2a6f570f5a1eed59ef92"}}