{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:EYIOZC6AGEXC3UZWWFNYMMUFZZ","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":"a521f8174115a29a0a26166f6b0defbd2bc503efed181cd8ee9adab595282894","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-11-06T06:53:23Z","title_canon_sha256":"cb90a4848c612b6e09cf7dbe55d9399fa4e597dc71f121f00f0576d59d14d6bc"},"schema_version":"1.0","source":{"id":"quant-ph/0611060","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0611060","created_at":"2026-05-18T03:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0611060v2","created_at":"2026-05-18T03:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0611060","created_at":"2026-05-18T03:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"EYIOZC6AGEXC","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"EYIOZC6AGEXC3UZW","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"EYIOZC6A","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:16b305718f6f16a6e3576c54ce00f11d308817f5e6d39a8bb62db9004757ad49","target":"graph","created_at":"2026-05-18T03:46:59Z","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"},"paper":{"abstract_excerpt":"Very recently the most general ensemble of qubits are identified using the notion of linearity; any of these qubits gets accepted by a Hadamard gate to generate the equal superposition of the qubit and its orthogonal. Towards more generalization, we investigate the possibility and impossibility results related to Discrete Fourier Transform (DFT) type of operations for a more general set up of qutrits.","authors_text":"Arpita Maitra","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-11-06T06:53:23Z","title":"Some Possibility and Impossibility Results related to Discrete Fourier type transforms in Quantum Information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0611060","kind":"arxiv","version":2},"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":"sha256:47d67c1554fa8773048099f77a65581b59250fd3885535fb93301e59be0f5cd0","target":"record","created_at":"2026-05-18T03:46:59Z","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":"a521f8174115a29a0a26166f6b0defbd2bc503efed181cd8ee9adab595282894","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-11-06T06:53:23Z","title_canon_sha256":"cb90a4848c612b6e09cf7dbe55d9399fa4e597dc71f121f00f0576d59d14d6bc"},"schema_version":"1.0","source":{"id":"quant-ph/0611060","kind":"arxiv","version":2}},"canonical_sha256":"2610ec8bc0312e2dd336b15b863285ce622978489ba7fbd2b329e12582cd177e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2610ec8bc0312e2dd336b15b863285ce622978489ba7fbd2b329e12582cd177e","first_computed_at":"2026-05-18T03:46:59.235745Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:59.235745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HxcDRiULJy3e+PoWcVcR0GWSJ6ZkjoCa1znKdTVGyZAUv88LIIl97r74DpdLUKo7Yio9VFfue6LQ81piOyuFBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:59.236392Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0611060","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47d67c1554fa8773048099f77a65581b59250fd3885535fb93301e59be0f5cd0","sha256:16b305718f6f16a6e3576c54ce00f11d308817f5e6d39a8bb62db9004757ad49"],"state_sha256":"919f8628df617c3f8a098a1186b54321b03e99194482df5a606967e8f8dc1144"}