{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:32NMRMV6AHXQRPGXHSW7PESRPF","short_pith_number":"pith:32NMRMV6","canonical_record":{"source":{"id":"2412.14356","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-18T21:43:52Z","cross_cats_sorted":[],"title_canon_sha256":"3a0ccd63264d1b75a05fd7f81a87417e24df8f7056b489d81dcf9a9975953155","abstract_canon_sha256":"b66ee832d619b35ec704537d49ddc2c08840d7dde16cbcd540dc2b25116ed119"},"schema_version":"1.0"},"canonical_sha256":"de9ac8b2be01ef08bcd73cadf792517955fe7355f4f72483c80332b0a7178230","source":{"kind":"arxiv","id":"2412.14356","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.14356","created_at":"2026-07-05T09:51:46Z"},{"alias_kind":"arxiv_version","alias_value":"2412.14356v1","created_at":"2026-07-05T09:51:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.14356","created_at":"2026-07-05T09:51:46Z"},{"alias_kind":"pith_short_12","alias_value":"32NMRMV6AHXQ","created_at":"2026-07-05T09:51:46Z"},{"alias_kind":"pith_short_16","alias_value":"32NMRMV6AHXQRPGX","created_at":"2026-07-05T09:51:46Z"},{"alias_kind":"pith_short_8","alias_value":"32NMRMV6","created_at":"2026-07-05T09:51:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:32NMRMV6AHXQRPGXHSW7PESRPF","target":"record","payload":{"canonical_record":{"source":{"id":"2412.14356","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-18T21:43:52Z","cross_cats_sorted":[],"title_canon_sha256":"3a0ccd63264d1b75a05fd7f81a87417e24df8f7056b489d81dcf9a9975953155","abstract_canon_sha256":"b66ee832d619b35ec704537d49ddc2c08840d7dde16cbcd540dc2b25116ed119"},"schema_version":"1.0"},"canonical_sha256":"de9ac8b2be01ef08bcd73cadf792517955fe7355f4f72483c80332b0a7178230","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:51:46.099268Z","signature_b64":"V5xP+UZyR5OafsdCmdYAYt1DOs1AKPu3GSUembPBEApijIAg6VspvqJY5HvSK4v7P2yKQhvBt9qVDlbB/jUwDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de9ac8b2be01ef08bcd73cadf792517955fe7355f4f72483c80332b0a7178230","last_reissued_at":"2026-07-05T09:51:46.098815Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:51:46.098815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.14356","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":"2026-07-05T09:51:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6SY3DWjlf6shkg2jYmx21FaouOSHIxYElbiWqIi9mPszwOnmfWkmHluiA7MPqdvM/UhIteKtmYFZyH91hYcmAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:03:50.926933Z"},"content_sha256":"e500983330a75f8ecaad85d5da3add25009e832ba57de76250e01c98e78fb2b2","schema_version":"1.0","event_id":"sha256:e500983330a75f8ecaad85d5da3add25009e832ba57de76250e01c98e78fb2b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:32NMRMV6AHXQRPGXHSW7PESRPF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient construction of witnesses of stellar rank of nonclassical states of light","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jarom\\'ir Fiur\\'a\\v{s}ek","submitted_at":"2024-12-18T21:43:52Z","abstract_excerpt":"The stellar hierarchy of quantum states of light classifies the states according to the Fock-state resources that are required for their generation together with unitary Gaussian operations. States with stellar rank n can be also equivalently referred to as genuinely n-photon quantum non-Gaussian states. Here we present an efficient method for construction of general witnesses of the stellar rank. The number of parameters that need to be optimized in order to determine the witness does not depend on the stellar rank and it scales quadratically with the number of modes. We illustrate the proced"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.14356","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/2412.14356/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":"2026-07-05T09:51:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZbapEHkh1BJQICnFN6JZBNiYBMdqaP2XrSMTd4cpb65sSKRB8+h9B9dJf/5Zqv9Z4WcoeAPWgqZfChNj9CfVAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:03:50.927617Z"},"content_sha256":"66868cdaada5df2ffa3932d9b325a75b4f2f3363987683bb9d1082a11846a55f","schema_version":"1.0","event_id":"sha256:66868cdaada5df2ffa3932d9b325a75b4f2f3363987683bb9d1082a11846a55f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/32NMRMV6AHXQRPGXHSW7PESRPF/bundle.json","state_url":"https://pith.science/pith/32NMRMV6AHXQRPGXHSW7PESRPF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/32NMRMV6AHXQRPGXHSW7PESRPF/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":"2026-08-11T18:03:50Z","links":{"resolver":"https://pith.science/pith/32NMRMV6AHXQRPGXHSW7PESRPF","bundle":"https://pith.science/pith/32NMRMV6AHXQRPGXHSW7PESRPF/bundle.json","state":"https://pith.science/pith/32NMRMV6AHXQRPGXHSW7PESRPF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/32NMRMV6AHXQRPGXHSW7PESRPF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:32NMRMV6AHXQRPGXHSW7PESRPF","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":"b66ee832d619b35ec704537d49ddc2c08840d7dde16cbcd540dc2b25116ed119","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-18T21:43:52Z","title_canon_sha256":"3a0ccd63264d1b75a05fd7f81a87417e24df8f7056b489d81dcf9a9975953155"},"schema_version":"1.0","source":{"id":"2412.14356","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.14356","created_at":"2026-07-05T09:51:46Z"},{"alias_kind":"arxiv_version","alias_value":"2412.14356v1","created_at":"2026-07-05T09:51:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.14356","created_at":"2026-07-05T09:51:46Z"},{"alias_kind":"pith_short_12","alias_value":"32NMRMV6AHXQ","created_at":"2026-07-05T09:51:46Z"},{"alias_kind":"pith_short_16","alias_value":"32NMRMV6AHXQRPGX","created_at":"2026-07-05T09:51:46Z"},{"alias_kind":"pith_short_8","alias_value":"32NMRMV6","created_at":"2026-07-05T09:51:46Z"}],"graph_snapshots":[{"event_id":"sha256:66868cdaada5df2ffa3932d9b325a75b4f2f3363987683bb9d1082a11846a55f","target":"graph","created_at":"2026-07-05T09:51:46Z","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/2412.14356/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The stellar hierarchy of quantum states of light classifies the states according to the Fock-state resources that are required for their generation together with unitary Gaussian operations. States with stellar rank n can be also equivalently referred to as genuinely n-photon quantum non-Gaussian states. Here we present an efficient method for construction of general witnesses of the stellar rank. The number of parameters that need to be optimized in order to determine the witness does not depend on the stellar rank and it scales quadratically with the number of modes. We illustrate the proced","authors_text":"Jarom\\'ir Fiur\\'a\\v{s}ek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-18T21:43:52Z","title":"Efficient construction of witnesses of stellar rank of nonclassical states of light"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.14356","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:e500983330a75f8ecaad85d5da3add25009e832ba57de76250e01c98e78fb2b2","target":"record","created_at":"2026-07-05T09:51:46Z","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":"b66ee832d619b35ec704537d49ddc2c08840d7dde16cbcd540dc2b25116ed119","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-18T21:43:52Z","title_canon_sha256":"3a0ccd63264d1b75a05fd7f81a87417e24df8f7056b489d81dcf9a9975953155"},"schema_version":"1.0","source":{"id":"2412.14356","kind":"arxiv","version":1}},"canonical_sha256":"de9ac8b2be01ef08bcd73cadf792517955fe7355f4f72483c80332b0a7178230","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de9ac8b2be01ef08bcd73cadf792517955fe7355f4f72483c80332b0a7178230","first_computed_at":"2026-07-05T09:51:46.098815Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:51:46.098815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V5xP+UZyR5OafsdCmdYAYt1DOs1AKPu3GSUembPBEApijIAg6VspvqJY5HvSK4v7P2yKQhvBt9qVDlbB/jUwDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:51:46.099268Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.14356","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e500983330a75f8ecaad85d5da3add25009e832ba57de76250e01c98e78fb2b2","sha256:66868cdaada5df2ffa3932d9b325a75b4f2f3363987683bb9d1082a11846a55f"],"state_sha256":"de0c3e6ff4f9d8970bc18462c274025ed748b0f4043bd58a56143382eb495b89"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j19v3FzUxE6g9IWjVkkJlpCq5Sz1dMZfWa+Hz+FLtHnQ0GjpwLPj2ajKarwRFUK7HAF04YrcSmQbN8qIkcqkDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T18:03:50.932035Z","bundle_sha256":"41753d8be8f3b36db169aea83e3a1c5d21bfe985ec5cbbee9481eb4a66d327ca"}}