{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:7A7S3GLOIUA7SFVTSXT4KDAGTO","short_pith_number":"pith:7A7S3GLO","schema_version":"1.0","canonical_sha256":"f83f2d996e4501f916b395e7c50c069ba6825ad291d19f49ce79a4d823504f06","source":{"kind":"arxiv","id":"0906.2508","version":1},"attestation_state":"computed","paper":{"title":"Permutational Quantum Computing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Stephen P. Jordan","submitted_at":"2009-06-14T02:24:08Z","abstract_excerpt":"In topological quantum computation the geometric details of a particle trajectory are irrelevant; only the topology matters. Taking this one step further, we consider a model of computation that disregards even the topology of the particle trajectory, and computes by permuting particles. Whereas topological quantum computation requires anyons, permutational quantum computation can be performed with ordinary spin-1/2 particles, using a variant of the spin-network scheme of Marzuoli and Rasetti. We do not know whether permutational computation is universal. It may represent a new complexity clas"},"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":"0906.2508","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-06-14T02:24:08Z","cross_cats_sorted":[],"title_canon_sha256":"1e5fe94160396e70be9f3eefe99f0285165db56e47fef2ad632ce4383bebc983","abstract_canon_sha256":"b7e924f62101467bf25ab06915a1daa52afc25c69f8463f9ef30c115bf4fe9ba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:51.399757Z","signature_b64":"r57tqiwKokRQHgHzLXH0iMjkJND2U1rgaDg0Orf+27moi/u4P1y78lH2wTkEg0z86gSRoPNQcp8odUuVaAihCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f83f2d996e4501f916b395e7c50c069ba6825ad291d19f49ce79a4d823504f06","last_reissued_at":"2026-05-18T04:20:51.399105Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:51.399105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Permutational Quantum Computing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Stephen P. Jordan","submitted_at":"2009-06-14T02:24:08Z","abstract_excerpt":"In topological quantum computation the geometric details of a particle trajectory are irrelevant; only the topology matters. Taking this one step further, we consider a model of computation that disregards even the topology of the particle trajectory, and computes by permuting particles. Whereas topological quantum computation requires anyons, permutational quantum computation can be performed with ordinary spin-1/2 particles, using a variant of the spin-network scheme of Marzuoli and Rasetti. We do not know whether permutational computation is universal. It may represent a new complexity clas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.2508","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":""},"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":"0906.2508","created_at":"2026-05-18T04:20:51.399192+00:00"},{"alias_kind":"arxiv_version","alias_value":"0906.2508v1","created_at":"2026-05-18T04:20:51.399192+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.2508","created_at":"2026-05-18T04:20:51.399192+00:00"},{"alias_kind":"pith_short_12","alias_value":"7A7S3GLOIUA7","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"7A7S3GLOIUA7SFVT","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"7A7S3GLO","created_at":"2026-05-18T12:25:58.837520+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/7A7S3GLOIUA7SFVTSXT4KDAGTO","json":"https://pith.science/pith/7A7S3GLOIUA7SFVTSXT4KDAGTO.json","graph_json":"https://pith.science/api/pith-number/7A7S3GLOIUA7SFVTSXT4KDAGTO/graph.json","events_json":"https://pith.science/api/pith-number/7A7S3GLOIUA7SFVTSXT4KDAGTO/events.json","paper":"https://pith.science/paper/7A7S3GLO"},"agent_actions":{"view_html":"https://pith.science/pith/7A7S3GLOIUA7SFVTSXT4KDAGTO","download_json":"https://pith.science/pith/7A7S3GLOIUA7SFVTSXT4KDAGTO.json","view_paper":"https://pith.science/paper/7A7S3GLO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0906.2508&json=true","fetch_graph":"https://pith.science/api/pith-number/7A7S3GLOIUA7SFVTSXT4KDAGTO/graph.json","fetch_events":"https://pith.science/api/pith-number/7A7S3GLOIUA7SFVTSXT4KDAGTO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7A7S3GLOIUA7SFVTSXT4KDAGTO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7A7S3GLOIUA7SFVTSXT4KDAGTO/action/storage_attestation","attest_author":"https://pith.science/pith/7A7S3GLOIUA7SFVTSXT4KDAGTO/action/author_attestation","sign_citation":"https://pith.science/pith/7A7S3GLOIUA7SFVTSXT4KDAGTO/action/citation_signature","submit_replication":"https://pith.science/pith/7A7S3GLOIUA7SFVTSXT4KDAGTO/action/replication_record"}},"created_at":"2026-05-18T04:20:51.399192+00:00","updated_at":"2026-05-18T04:20:51.399192+00:00"}