{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:VNEMMX64DHGPTJWIMACT6HY4FA","short_pith_number":"pith:VNEMMX64","schema_version":"1.0","canonical_sha256":"ab48c65fdc19ccf9a6c860053f1f1c2801db6634ddf5011dd9283fae466d7112","source":{"kind":"arxiv","id":"2606.24591","version":1},"attestation_state":"computed","paper":{"title":"Auxiliary Schmidt Rank as a Resource for Photonic Bell Measurements","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Peter van Loock, Pradip Laha","submitted_at":"2026-06-23T13:52:04Z","abstract_excerpt":"In quantum communication and fusion-based quantum computation, photonic Bell measurements are fundamentally limited when only passive linear optics is employed. While for qubits, some Bell states can be unambiguously identified with static beam splitters and no extra photons or entanglement, additional auxiliary photons or at least additional auxiliary degrees of freedom with a certain level of additional entanglement are needed to approach or attain a complete, deterministic Bell measurement. Here, we prove an exact resource threshold when the same two photons carry system qudits of dimension"},"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":"2606.24591","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-23T13:52:04Z","cross_cats_sorted":[],"title_canon_sha256":"25eb4c99e137d859f84a0da514980c40e5963a822201f70aea5352e4b9b23400","abstract_canon_sha256":"e0b676753b7fcc3a776c3ada04f2075d9f65ce4cc982b8ec7a8ec9cb8a77fd18"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T01:15:36.277023Z","signature_b64":"R20w4u97b99xA0HALITGQ4Tiw36Pmd0Rm6sQK8qFBlhOliLlXSqnGhFeH1pUGQhFItyiNRi+z3aVfgv0y7sbCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab48c65fdc19ccf9a6c860053f1f1c2801db6634ddf5011dd9283fae466d7112","last_reissued_at":"2026-06-24T01:15:36.276607Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T01:15:36.276607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Auxiliary Schmidt Rank as a Resource for Photonic Bell Measurements","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Peter van Loock, Pradip Laha","submitted_at":"2026-06-23T13:52:04Z","abstract_excerpt":"In quantum communication and fusion-based quantum computation, photonic Bell measurements are fundamentally limited when only passive linear optics is employed. While for qubits, some Bell states can be unambiguously identified with static beam splitters and no extra photons or entanglement, additional auxiliary photons or at least additional auxiliary degrees of freedom with a certain level of additional entanglement are needed to approach or attain a complete, deterministic Bell measurement. Here, we prove an exact resource threshold when the same two photons carry system qudits of dimension"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24591","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/2606.24591/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":"2606.24591","created_at":"2026-06-24T01:15:36.276670+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.24591v1","created_at":"2026-06-24T01:15:36.276670+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24591","created_at":"2026-06-24T01:15:36.276670+00:00"},{"alias_kind":"pith_short_12","alias_value":"VNEMMX64DHGP","created_at":"2026-06-24T01:15:36.276670+00:00"},{"alias_kind":"pith_short_16","alias_value":"VNEMMX64DHGPTJWI","created_at":"2026-06-24T01:15:36.276670+00:00"},{"alias_kind":"pith_short_8","alias_value":"VNEMMX64","created_at":"2026-06-24T01:15:36.276670+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VNEMMX64DHGPTJWIMACT6HY4FA","json":"https://pith.science/pith/VNEMMX64DHGPTJWIMACT6HY4FA.json","graph_json":"https://pith.science/api/pith-number/VNEMMX64DHGPTJWIMACT6HY4FA/graph.json","events_json":"https://pith.science/api/pith-number/VNEMMX64DHGPTJWIMACT6HY4FA/events.json","paper":"https://pith.science/paper/VNEMMX64"},"agent_actions":{"view_html":"https://pith.science/pith/VNEMMX64DHGPTJWIMACT6HY4FA","download_json":"https://pith.science/pith/VNEMMX64DHGPTJWIMACT6HY4FA.json","view_paper":"https://pith.science/paper/VNEMMX64","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.24591&json=true","fetch_graph":"https://pith.science/api/pith-number/VNEMMX64DHGPTJWIMACT6HY4FA/graph.json","fetch_events":"https://pith.science/api/pith-number/VNEMMX64DHGPTJWIMACT6HY4FA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VNEMMX64DHGPTJWIMACT6HY4FA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VNEMMX64DHGPTJWIMACT6HY4FA/action/storage_attestation","attest_author":"https://pith.science/pith/VNEMMX64DHGPTJWIMACT6HY4FA/action/author_attestation","sign_citation":"https://pith.science/pith/VNEMMX64DHGPTJWIMACT6HY4FA/action/citation_signature","submit_replication":"https://pith.science/pith/VNEMMX64DHGPTJWIMACT6HY4FA/action/replication_record"}},"created_at":"2026-06-24T01:15:36.276670+00:00","updated_at":"2026-06-24T01:15:36.276670+00:00"}