{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:PELY3Q6REHM75645DJGILCFARF","short_pith_number":"pith:PELY3Q6R","schema_version":"1.0","canonical_sha256":"79178dc3d121d9fefb9d1a4c8588a0896036c9a307b5757bcfefb56b64aa8085","source":{"kind":"arxiv","id":"2607.17443","version":1},"attestation_state":"computed","paper":{"title":"Operator-centric Clifford algebra for variational eigensolvers and finite-shot adaptive selection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ginanjar Utama, Hermawan Kresno Dipojono","submitted_at":"2026-07-20T00:02:06Z","abstract_excerpt":"We develop a sparse operator-centric realization of $n$-qubit variational quantum algorithms in the complex Clifford algebra $\\mathrm{Cl}(2n,\\mathbb{C}) \\cong M(2^n,\\mathbb{C})$. Density operators, gates, observables, channels, fermionic modes, and adaptive-selection observables are represented in one Pauli-word algebra, with the Jordan--Wigner map providing the exact bridge to anticommuting Clifford generators. We distinguish general Pauli-word rotations from Spin-group rotors and derive an exact transpose-parity rule: for real Hamiltonians and real states, every candidate Pauli word containi"},"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":"2607.17443","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-20T00:02:06Z","cross_cats_sorted":[],"title_canon_sha256":"da5ccc7406f04aecace07eceb7ecd17f46908a66ea15a9c3f33557dcd27c8ec9","abstract_canon_sha256":"34ed684bb81ab1fb48b99a59e1b5019f481755d4b7d803496e9afa4af445979c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T01:21:33.162518Z","signature_b64":"ktOUGshAd8LMkNuXvLg++oa7Mk9GuBUlULvyy/jRdQSyOIupSITjEF0jlagpctsvZDZJVbCJLwo90wLlGxGUCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79178dc3d121d9fefb9d1a4c8588a0896036c9a307b5757bcfefb56b64aa8085","last_reissued_at":"2026-07-21T01:21:33.161605Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T01:21:33.161605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Operator-centric Clifford algebra for variational eigensolvers and finite-shot adaptive selection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ginanjar Utama, Hermawan Kresno Dipojono","submitted_at":"2026-07-20T00:02:06Z","abstract_excerpt":"We develop a sparse operator-centric realization of $n$-qubit variational quantum algorithms in the complex Clifford algebra $\\mathrm{Cl}(2n,\\mathbb{C}) \\cong M(2^n,\\mathbb{C})$. Density operators, gates, observables, channels, fermionic modes, and adaptive-selection observables are represented in one Pauli-word algebra, with the Jordan--Wigner map providing the exact bridge to anticommuting Clifford generators. We distinguish general Pauli-word rotations from Spin-group rotors and derive an exact transpose-parity rule: for real Hamiltonians and real states, every candidate Pauli word containi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.17443","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/2607.17443/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":"2607.17443","created_at":"2026-07-21T01:21:33.162025+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.17443v1","created_at":"2026-07-21T01:21:33.162025+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.17443","created_at":"2026-07-21T01:21:33.162025+00:00"},{"alias_kind":"pith_short_12","alias_value":"PELY3Q6REHM7","created_at":"2026-07-21T01:21:33.162025+00:00"},{"alias_kind":"pith_short_16","alias_value":"PELY3Q6REHM75645","created_at":"2026-07-21T01:21:33.162025+00:00"},{"alias_kind":"pith_short_8","alias_value":"PELY3Q6R","created_at":"2026-07-21T01:21:33.162025+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.00560","citing_title":"Adaptive operator-generated subspaces for effective many-body Hamiltonians","ref_index":19,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PELY3Q6REHM75645DJGILCFARF","json":"https://pith.science/pith/PELY3Q6REHM75645DJGILCFARF.json","graph_json":"https://pith.science/api/pith-number/PELY3Q6REHM75645DJGILCFARF/graph.json","events_json":"https://pith.science/api/pith-number/PELY3Q6REHM75645DJGILCFARF/events.json","paper":"https://pith.science/paper/PELY3Q6R"},"agent_actions":{"view_html":"https://pith.science/pith/PELY3Q6REHM75645DJGILCFARF","download_json":"https://pith.science/pith/PELY3Q6REHM75645DJGILCFARF.json","view_paper":"https://pith.science/paper/PELY3Q6R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.17443&json=true","fetch_graph":"https://pith.science/api/pith-number/PELY3Q6REHM75645DJGILCFARF/graph.json","fetch_events":"https://pith.science/api/pith-number/PELY3Q6REHM75645DJGILCFARF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PELY3Q6REHM75645DJGILCFARF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PELY3Q6REHM75645DJGILCFARF/action/storage_attestation","attest_author":"https://pith.science/pith/PELY3Q6REHM75645DJGILCFARF/action/author_attestation","sign_citation":"https://pith.science/pith/PELY3Q6REHM75645DJGILCFARF/action/citation_signature","submit_replication":"https://pith.science/pith/PELY3Q6REHM75645DJGILCFARF/action/replication_record"}},"created_at":"2026-07-21T01:21:33.162025+00:00","updated_at":"2026-07-21T01:21:33.162025+00:00"}