{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:T7XKLUKIAC757MAUDWOLT6IYBX","short_pith_number":"pith:T7XKLUKI","canonical_record":{"source":{"id":"2505.03001","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-05T20:02:12Z","cross_cats_sorted":[],"title_canon_sha256":"9e60ff76089031a223443ffd860215c04f77cb7a7242b01bffe6dcd1772255c2","abstract_canon_sha256":"266418635406d3a6ea184c2064d1c5408a4719591898d41c52549cd89369029f"},"schema_version":"1.0"},"canonical_sha256":"9feea5d14800bfdfb0141d9cb9f9180dd0a36f77dd42c2b2438e6cd4f726c69e","source":{"kind":"arxiv","id":"2505.03001","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.03001","created_at":"2026-07-05T10:58:50Z"},{"alias_kind":"arxiv_version","alias_value":"2505.03001v1","created_at":"2026-07-05T10:58:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.03001","created_at":"2026-07-05T10:58:50Z"},{"alias_kind":"pith_short_12","alias_value":"T7XKLUKIAC75","created_at":"2026-07-05T10:58:50Z"},{"alias_kind":"pith_short_16","alias_value":"T7XKLUKIAC757MAU","created_at":"2026-07-05T10:58:50Z"},{"alias_kind":"pith_short_8","alias_value":"T7XKLUKI","created_at":"2026-07-05T10:58:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:T7XKLUKIAC757MAUDWOLT6IYBX","target":"record","payload":{"canonical_record":{"source":{"id":"2505.03001","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-05T20:02:12Z","cross_cats_sorted":[],"title_canon_sha256":"9e60ff76089031a223443ffd860215c04f77cb7a7242b01bffe6dcd1772255c2","abstract_canon_sha256":"266418635406d3a6ea184c2064d1c5408a4719591898d41c52549cd89369029f"},"schema_version":"1.0"},"canonical_sha256":"9feea5d14800bfdfb0141d9cb9f9180dd0a36f77dd42c2b2438e6cd4f726c69e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:58:50.818733Z","signature_b64":"HujWnho+ZTNrMtMj7OXA7Ut8NM5V1VVPzEfgwx9dECcRy4YR9WztZ8LgrubTpmRXCTyeRFYKzt95QzoZYokVDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9feea5d14800bfdfb0141d9cb9f9180dd0a36f77dd42c2b2438e6cd4f726c69e","last_reissued_at":"2026-07-05T10:58:50.818213Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:58:50.818213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.03001","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":"2026-07-05T10:58:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tp/FGrJLfZSpSizWD4Tpbi+b87cVo6dT35XwWQ003y/W3SmD38825tB1e/p0r+wXPh9WdMChTsFm6Il8YGILAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T17:43:11.230724Z"},"content_sha256":"09bd1f4b6bf90c94fa032859885cf448462c6d4f5c955558480c936dc6ebcfee","schema_version":"1.0","event_id":"sha256:09bd1f4b6bf90c94fa032859885cf448462c6d4f5c955558480c936dc6ebcfee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:T7XKLUKIAC757MAUDWOLT6IYBX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Observation of Lie algebraic invariants in Quantum Linear Optics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andrea Crespi, Eugenio Caruccio, Fabio Sciarrino, Francesco Ceccarelli, Francesco Hoch, Giacomo Corrielli, Giovanni Rodari, Gonzalo Carvacho, Nicol\\`o Spagnolo, Niki Di Giano, Riccardo Albiero, Roberto Osellame, Taira Giordani, Tommaso Francalanci, Ulysse Chabaud","submitted_at":"2025-05-05T20:02:12Z","abstract_excerpt":"Over the past few years, various methods have been developed to engineeer and to exploit the dynamics of photonic quantum states as they evolve through linear optical networks. Recent theoretical works have shown that the underlying Lie algebraic structure plays a crucial role in the description of linear optical Hamiltonians, as such formalism identifies intrinsic symmetries within photonic systems subject to linear optical dynamics. Here, we experimentally investigate the role of Lie algebra applied to the context of Boson sampling, a pivotal model to the current understanding of computation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.03001","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.03001/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":"2026-07-05T10:58:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TLea7or/N0+3MwjEBqyN1E5gnCVuA7AvfihLQn0F+WJUkgMdI/G/1VTUeYgx6EcbnRLlpZYelGN0SaFidSPZAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T17:43:11.231269Z"},"content_sha256":"c9107c10b311ae20e3480b0a03a2b7a51bf89a2a0b134b991a631e13de70c83b","schema_version":"1.0","event_id":"sha256:c9107c10b311ae20e3480b0a03a2b7a51bf89a2a0b134b991a631e13de70c83b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T7XKLUKIAC757MAUDWOLT6IYBX/bundle.json","state_url":"https://pith.science/pith/T7XKLUKIAC757MAUDWOLT6IYBX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T7XKLUKIAC757MAUDWOLT6IYBX/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":"2026-08-08T17:43:11Z","links":{"resolver":"https://pith.science/pith/T7XKLUKIAC757MAUDWOLT6IYBX","bundle":"https://pith.science/pith/T7XKLUKIAC757MAUDWOLT6IYBX/bundle.json","state":"https://pith.science/pith/T7XKLUKIAC757MAUDWOLT6IYBX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T7XKLUKIAC757MAUDWOLT6IYBX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:T7XKLUKIAC757MAUDWOLT6IYBX","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":"266418635406d3a6ea184c2064d1c5408a4719591898d41c52549cd89369029f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-05T20:02:12Z","title_canon_sha256":"9e60ff76089031a223443ffd860215c04f77cb7a7242b01bffe6dcd1772255c2"},"schema_version":"1.0","source":{"id":"2505.03001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.03001","created_at":"2026-07-05T10:58:50Z"},{"alias_kind":"arxiv_version","alias_value":"2505.03001v1","created_at":"2026-07-05T10:58:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.03001","created_at":"2026-07-05T10:58:50Z"},{"alias_kind":"pith_short_12","alias_value":"T7XKLUKIAC75","created_at":"2026-07-05T10:58:50Z"},{"alias_kind":"pith_short_16","alias_value":"T7XKLUKIAC757MAU","created_at":"2026-07-05T10:58:50Z"},{"alias_kind":"pith_short_8","alias_value":"T7XKLUKI","created_at":"2026-07-05T10:58:50Z"}],"graph_snapshots":[{"event_id":"sha256:c9107c10b311ae20e3480b0a03a2b7a51bf89a2a0b134b991a631e13de70c83b","target":"graph","created_at":"2026-07-05T10:58:50Z","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/2505.03001/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Over the past few years, various methods have been developed to engineeer and to exploit the dynamics of photonic quantum states as they evolve through linear optical networks. Recent theoretical works have shown that the underlying Lie algebraic structure plays a crucial role in the description of linear optical Hamiltonians, as such formalism identifies intrinsic symmetries within photonic systems subject to linear optical dynamics. Here, we experimentally investigate the role of Lie algebra applied to the context of Boson sampling, a pivotal model to the current understanding of computation","authors_text":"Andrea Crespi, Eugenio Caruccio, Fabio Sciarrino, Francesco Ceccarelli, Francesco Hoch, Giacomo Corrielli, Giovanni Rodari, Gonzalo Carvacho, Nicol\\`o Spagnolo, Niki Di Giano, Riccardo Albiero, Roberto Osellame, Taira Giordani, Tommaso Francalanci, Ulysse Chabaud","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-05T20:02:12Z","title":"Observation of Lie algebraic invariants in Quantum Linear Optics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.03001","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":"sha256:09bd1f4b6bf90c94fa032859885cf448462c6d4f5c955558480c936dc6ebcfee","target":"record","created_at":"2026-07-05T10:58:50Z","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":"266418635406d3a6ea184c2064d1c5408a4719591898d41c52549cd89369029f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-05T20:02:12Z","title_canon_sha256":"9e60ff76089031a223443ffd860215c04f77cb7a7242b01bffe6dcd1772255c2"},"schema_version":"1.0","source":{"id":"2505.03001","kind":"arxiv","version":1}},"canonical_sha256":"9feea5d14800bfdfb0141d9cb9f9180dd0a36f77dd42c2b2438e6cd4f726c69e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9feea5d14800bfdfb0141d9cb9f9180dd0a36f77dd42c2b2438e6cd4f726c69e","first_computed_at":"2026-07-05T10:58:50.818213Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:58:50.818213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HujWnho+ZTNrMtMj7OXA7Ut8NM5V1VVPzEfgwx9dECcRy4YR9WztZ8LgrubTpmRXCTyeRFYKzt95QzoZYokVDg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:58:50.818733Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.03001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09bd1f4b6bf90c94fa032859885cf448462c6d4f5c955558480c936dc6ebcfee","sha256:c9107c10b311ae20e3480b0a03a2b7a51bf89a2a0b134b991a631e13de70c83b"],"state_sha256":"baa8904490584dcfa853435bf46349bcb6783c181fad6638afa6f3389086a6d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vA8Mie6CjTfVjPVfAmPkX3waKRD7v4nt6tjLjhja75lJ9nxq8ct/WKySWJvXvLRmw2WJnpK5pzS4yX7XNjtiCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T17:43:11.237461Z","bundle_sha256":"7ccad5dbd135971d09b4a75758cdfe6fc3c87bb6acb90ae85f17456b65afa5a3"}}