{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:53F22YX5SA7JHBV272AZ3FHVEP","short_pith_number":"pith:53F22YX5","schema_version":"1.0","canonical_sha256":"eecbad62fd903e9386bafe819d94f523ff3bb726a10c412094194ecd4b48ee4f","source":{"kind":"arxiv","id":"2506.07995","version":4},"attestation_state":"computed","paper":{"title":"Orbit dimensions in linear and Gaussian quantum optics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Eliott Z. Mamon","submitted_at":"2025-06-09T17:58:08Z","abstract_excerpt":"We study the dimension of the manifold of quantum states (called orbit) that a given bosonic state can reach under linear or quadratic Hamiltonian evolutions. That is, we investigate how many directions in the Hilbert space a state can explore in these sub-universal regimes. After showcasing a simple way to compute orbit dimensions, we find that these topological quantities reveal fundamental insights into the structure of attainable state spaces (e.g., boson bunching does not increase the number of accessible directions) with multifaceted consequences. First, we illustrate how they can alone "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2506.07995","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-06-09T17:58:08Z","cross_cats_sorted":[],"title_canon_sha256":"072ad3e017762de13ec2e0754f45332b8dc58525f8d71ae3a27559db1f829db3","abstract_canon_sha256":"f0b194bcf617623d7bfcde1113e9b9e6184ab0616adf784820eafb65199f69cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T01:57:34.195426Z","signature_b64":"fOJ+Iu9sOQ9e5ThS0SUXKjGFp0mj88W1Y0PRTTyN6CcEE6HzCRvpcsuGRwB4TlLeG61bsUqMeuc++9u4NiiTDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eecbad62fd903e9386bafe819d94f523ff3bb726a10c412094194ecd4b48ee4f","last_reissued_at":"2026-08-04T01:57:34.193699Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T01:57:34.193699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Orbit dimensions in linear and Gaussian quantum optics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Eliott Z. Mamon","submitted_at":"2025-06-09T17:58:08Z","abstract_excerpt":"We study the dimension of the manifold of quantum states (called orbit) that a given bosonic state can reach under linear or quadratic Hamiltonian evolutions. That is, we investigate how many directions in the Hilbert space a state can explore in these sub-universal regimes. After showcasing a simple way to compute orbit dimensions, we find that these topological quantities reveal fundamental insights into the structure of attainable state spaces (e.g., boson bunching does not increase the number of accessible directions) with multifaceted consequences. First, we illustrate how they can alone "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.07995","kind":"arxiv","version":4},"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/2506.07995/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2506.07995","created_at":"2026-08-04T01:57:34.194972+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.07995v4","created_at":"2026-08-04T01:57:34.194972+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.07995","created_at":"2026-08-04T01:57:34.194972+00:00"},{"alias_kind":"pith_short_12","alias_value":"53F22YX5SA7J","created_at":"2026-08-04T01:57:34.194972+00:00"},{"alias_kind":"pith_short_16","alias_value":"53F22YX5SA7JHBV2","created_at":"2026-08-04T01:57:34.194972+00:00"},{"alias_kind":"pith_short_8","alias_value":"53F22YX5","created_at":"2026-08-04T01:57:34.194972+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.19470","citing_title":"Local controllability of heralded quantum linear optics","ref_index":22,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/53F22YX5SA7JHBV272AZ3FHVEP","json":"https://pith.science/pith/53F22YX5SA7JHBV272AZ3FHVEP.json","graph_json":"https://pith.science/api/pith-number/53F22YX5SA7JHBV272AZ3FHVEP/graph.json","events_json":"https://pith.science/api/pith-number/53F22YX5SA7JHBV272AZ3FHVEP/events.json","paper":"https://pith.science/paper/53F22YX5"},"agent_actions":{"view_html":"https://pith.science/pith/53F22YX5SA7JHBV272AZ3FHVEP","download_json":"https://pith.science/pith/53F22YX5SA7JHBV272AZ3FHVEP.json","view_paper":"https://pith.science/paper/53F22YX5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.07995&json=true","fetch_graph":"https://pith.science/api/pith-number/53F22YX5SA7JHBV272AZ3FHVEP/graph.json","fetch_events":"https://pith.science/api/pith-number/53F22YX5SA7JHBV272AZ3FHVEP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/53F22YX5SA7JHBV272AZ3FHVEP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/53F22YX5SA7JHBV272AZ3FHVEP/action/storage_attestation","attest_author":"https://pith.science/pith/53F22YX5SA7JHBV272AZ3FHVEP/action/author_attestation","sign_citation":"https://pith.science/pith/53F22YX5SA7JHBV272AZ3FHVEP/action/citation_signature","submit_replication":"https://pith.science/pith/53F22YX5SA7JHBV272AZ3FHVEP/action/replication_record"}},"created_at":"2026-08-04T01:57:34.194972+00:00","updated_at":"2026-08-04T01:57:34.194972+00:00"}