{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:I2HHG2UM4GTP7P4WSU2MBJVQAD","short_pith_number":"pith:I2HHG2UM","canonical_record":{"source":{"id":"2507.07684","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-10T12:07:02Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.quant-gas"],"title_canon_sha256":"bd72bc22b01a46e2f1ce3ff7ae0a108179a248e38e961ba18f9202b007380c2c","abstract_canon_sha256":"7c62e9ba17c4dbdbcdc961e61f7b6660258b644d1e3ca1483e38c405eb246f1e"},"schema_version":"1.0"},"canonical_sha256":"468e736a8ce1a6ffbf969534c0a6b000fd8d923c63f01e4a2ad01fdac6c2dbc7","source":{"kind":"arxiv","id":"2507.07684","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.07684","created_at":"2026-07-05T11:35:03Z"},{"alias_kind":"arxiv_version","alias_value":"2507.07684v1","created_at":"2026-07-05T11:35:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.07684","created_at":"2026-07-05T11:35:03Z"},{"alias_kind":"pith_short_12","alias_value":"I2HHG2UM4GTP","created_at":"2026-07-05T11:35:03Z"},{"alias_kind":"pith_short_16","alias_value":"I2HHG2UM4GTP7P4W","created_at":"2026-07-05T11:35:03Z"},{"alias_kind":"pith_short_8","alias_value":"I2HHG2UM","created_at":"2026-07-05T11:35:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:I2HHG2UM4GTP7P4WSU2MBJVQAD","target":"record","payload":{"canonical_record":{"source":{"id":"2507.07684","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-10T12:07:02Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.quant-gas"],"title_canon_sha256":"bd72bc22b01a46e2f1ce3ff7ae0a108179a248e38e961ba18f9202b007380c2c","abstract_canon_sha256":"7c62e9ba17c4dbdbcdc961e61f7b6660258b644d1e3ca1483e38c405eb246f1e"},"schema_version":"1.0"},"canonical_sha256":"468e736a8ce1a6ffbf969534c0a6b000fd8d923c63f01e4a2ad01fdac6c2dbc7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:35:03.050958Z","signature_b64":"BERYNZuq3IaqjE4pJITznavpgRnnOHmsF7eVznuNkmURgiWfZvRZJlLFKA3Zz6A3VfX35F8xrtUTAqjZyTUQDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"468e736a8ce1a6ffbf969534c0a6b000fd8d923c63f01e4a2ad01fdac6c2dbc7","last_reissued_at":"2026-07-05T11:35:03.050393Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:35:03.050393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.07684","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":"2026-07-05T11:35:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pPhuc1LpITZrCZKfpQf+0LpaAtsvRSHazg4z+cMDblqKvnJ9IcWhTFDer1hH9squ9w5gzRvRCryATBzQmTq2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T10:39:46.841164Z"},"content_sha256":"e832acfc21bb10a5b0e74ef33d7fa96d7bbc56323b0536fcd662ab4a42683bb4","schema_version":"1.0","event_id":"sha256:e832acfc21bb10a5b0e74ef33d7fa96d7bbc56323b0536fcd662ab4a42683bb4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:I2HHG2UM4GTP7P4WSU2MBJVQAD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase-Space Framework for Noisy Intermediate-Scale Quantum Optical Neural Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.quant-gas"],"primary_cat":"quant-ph","authors_text":"Andrzej Opala, Barbara Pi\\k{e}tka, Micha{\\l} Matuszewski, Piotr Deuar, Stanis{\\l}aw \\'Swierczewski, Timothy C. H. Liew, Wouter Verstraelen","submitted_at":"2025-07-10T12:07:02Z","abstract_excerpt":"Quantum optical neural networks (QONNs) enable information processing beyond classical limits by exploiting the advantages of classical and quantum optics. However, simulation of large-scale bosonic lattices remains a significant challenge due to the exponential growth of the Hilbert space required to describe a quantum network accurately. Consequently, previous theoretical studies have been limited to small-scale systems, leaving the behaviour of multimode QONNs largely unexplored. This work presents an efficient computational framework based on the phase-space positive-P method for simulatin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.07684","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/2507.07684/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":"2026-07-05T11:35:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T/1uDj/4bCHHfCT4WYelmfQ2Ts7t/BRRSfPcBCt5jlfUB5FXtb+H47/yYkioNghjwJ3Gmsn5aks/ffHAP0pQCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T10:39:46.841890Z"},"content_sha256":"182267bf06a25d5e2dbf88a9110568e5f4bb230f574432d18be8f282f7c03f2b","schema_version":"1.0","event_id":"sha256:182267bf06a25d5e2dbf88a9110568e5f4bb230f574432d18be8f282f7c03f2b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I2HHG2UM4GTP7P4WSU2MBJVQAD/bundle.json","state_url":"https://pith.science/pith/I2HHG2UM4GTP7P4WSU2MBJVQAD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I2HHG2UM4GTP7P4WSU2MBJVQAD/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":"2026-08-12T10:39:46Z","links":{"resolver":"https://pith.science/pith/I2HHG2UM4GTP7P4WSU2MBJVQAD","bundle":"https://pith.science/pith/I2HHG2UM4GTP7P4WSU2MBJVQAD/bundle.json","state":"https://pith.science/pith/I2HHG2UM4GTP7P4WSU2MBJVQAD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I2HHG2UM4GTP7P4WSU2MBJVQAD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:I2HHG2UM4GTP7P4WSU2MBJVQAD","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":"7c62e9ba17c4dbdbcdc961e61f7b6660258b644d1e3ca1483e38c405eb246f1e","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-10T12:07:02Z","title_canon_sha256":"bd72bc22b01a46e2f1ce3ff7ae0a108179a248e38e961ba18f9202b007380c2c"},"schema_version":"1.0","source":{"id":"2507.07684","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.07684","created_at":"2026-07-05T11:35:03Z"},{"alias_kind":"arxiv_version","alias_value":"2507.07684v1","created_at":"2026-07-05T11:35:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.07684","created_at":"2026-07-05T11:35:03Z"},{"alias_kind":"pith_short_12","alias_value":"I2HHG2UM4GTP","created_at":"2026-07-05T11:35:03Z"},{"alias_kind":"pith_short_16","alias_value":"I2HHG2UM4GTP7P4W","created_at":"2026-07-05T11:35:03Z"},{"alias_kind":"pith_short_8","alias_value":"I2HHG2UM","created_at":"2026-07-05T11:35:03Z"}],"graph_snapshots":[{"event_id":"sha256:182267bf06a25d5e2dbf88a9110568e5f4bb230f574432d18be8f282f7c03f2b","target":"graph","created_at":"2026-07-05T11:35:03Z","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/2507.07684/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum optical neural networks (QONNs) enable information processing beyond classical limits by exploiting the advantages of classical and quantum optics. However, simulation of large-scale bosonic lattices remains a significant challenge due to the exponential growth of the Hilbert space required to describe a quantum network accurately. Consequently, previous theoretical studies have been limited to small-scale systems, leaving the behaviour of multimode QONNs largely unexplored. This work presents an efficient computational framework based on the phase-space positive-P method for simulatin","authors_text":"Andrzej Opala, Barbara Pi\\k{e}tka, Micha{\\l} Matuszewski, Piotr Deuar, Stanis{\\l}aw \\'Swierczewski, Timothy C. H. Liew, Wouter Verstraelen","cross_cats":["cond-mat.dis-nn","cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-10T12:07:02Z","title":"Phase-Space Framework for Noisy Intermediate-Scale Quantum Optical Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.07684","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:e832acfc21bb10a5b0e74ef33d7fa96d7bbc56323b0536fcd662ab4a42683bb4","target":"record","created_at":"2026-07-05T11:35:03Z","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":"7c62e9ba17c4dbdbcdc961e61f7b6660258b644d1e3ca1483e38c405eb246f1e","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-10T12:07:02Z","title_canon_sha256":"bd72bc22b01a46e2f1ce3ff7ae0a108179a248e38e961ba18f9202b007380c2c"},"schema_version":"1.0","source":{"id":"2507.07684","kind":"arxiv","version":1}},"canonical_sha256":"468e736a8ce1a6ffbf969534c0a6b000fd8d923c63f01e4a2ad01fdac6c2dbc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"468e736a8ce1a6ffbf969534c0a6b000fd8d923c63f01e4a2ad01fdac6c2dbc7","first_computed_at":"2026-07-05T11:35:03.050393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:35:03.050393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BERYNZuq3IaqjE4pJITznavpgRnnOHmsF7eVznuNkmURgiWfZvRZJlLFKA3Zz6A3VfX35F8xrtUTAqjZyTUQDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:35:03.050958Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.07684","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e832acfc21bb10a5b0e74ef33d7fa96d7bbc56323b0536fcd662ab4a42683bb4","sha256:182267bf06a25d5e2dbf88a9110568e5f4bb230f574432d18be8f282f7c03f2b"],"state_sha256":"d9220c702df6d9875eeff43a021b880eb7f6d0c3ea5e60cf2ac28700d9e58ec8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AEYQ6PUn39qEDYqE3rLvgS1gyrkF8k3t3rUr+H4iGzmLo3ivxumCAYOcI+cdRKAQUnRq64LUHrWVM/1TzRWOAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T10:39:46.847383Z","bundle_sha256":"bded99fe8d3fcf50e4c462a70b7c026290fc91ccbaf1d5a8f41271a8e40d5ee1"}}