{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:PL3E5BOIFCVN3ZXFDKDX4BBVDI","short_pith_number":"pith:PL3E5BOI","schema_version":"1.0","canonical_sha256":"7af64e85c828aadde6e51a877e04351a2f122d1222a34386976dec7b8f7ddd32","source":{"kind":"arxiv","id":"2001.09091","version":1},"attestation_state":"computed","paper":{"title":"Quantum computation and measurements from an exotic space-time R4","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.GT","authors_text":"Klee Irwin, Marcelo. M. Amaral, Michel Planat, Raymond Aschheim","submitted_at":"2020-01-22T15:16:03Z","abstract_excerpt":"The authors previously found a model of universal quantum computation by making use of the coset structure of subgroups of a free group $G$ with relations. A valid subgroup $H$ of index $d$ in $G$ leads to a 'magic' state $\\left|\\psi\\right\\rangle$ in $d$-dimensional Hilbert space that encodes a minimal informationally complete quantum measurement (or MIC), possibly carrying a finite 'contextual' geometry. In the present work, we choose $G$ as the fundamental group $\\pi_1(V)$ of an exotic $4$-manifold $V$, more precisely a 'small exotic' (space-time) $R^4$ (that is homeomorphic and isometric, b"},"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":"2001.09091","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2020-01-22T15:16:03Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"5e316755dac57730307082e8099a07006f7414ae3d4f11a0d143b4aacc7d68cf","abstract_canon_sha256":"30e218ff450a8f6bb0c054d125b852af65b229a9e5f312f78e32ae9055f9a69b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:00:15.915181Z","signature_b64":"xoYfwbyF1x0CnOugLrFFJMvXaWnKuug8/lTIWcRc55VL1fYS5zXV9JRBiEhiINcg8ghTy5VReib9cTgfOOcqCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7af64e85c828aadde6e51a877e04351a2f122d1222a34386976dec7b8f7ddd32","last_reissued_at":"2026-07-05T01:00:15.914694Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:00:15.914694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum computation and measurements from an exotic space-time R4","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.GT","authors_text":"Klee Irwin, Marcelo. M. Amaral, Michel Planat, Raymond Aschheim","submitted_at":"2020-01-22T15:16:03Z","abstract_excerpt":"The authors previously found a model of universal quantum computation by making use of the coset structure of subgroups of a free group $G$ with relations. A valid subgroup $H$ of index $d$ in $G$ leads to a 'magic' state $\\left|\\psi\\right\\rangle$ in $d$-dimensional Hilbert space that encodes a minimal informationally complete quantum measurement (or MIC), possibly carrying a finite 'contextual' geometry. In the present work, we choose $G$ as the fundamental group $\\pi_1(V)$ of an exotic $4$-manifold $V$, more precisely a 'small exotic' (space-time) $R^4$ (that is homeomorphic and isometric, b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.09091","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/2001.09091/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":"2001.09091","created_at":"2026-07-05T01:00:15.914750+00:00"},{"alias_kind":"arxiv_version","alias_value":"2001.09091v1","created_at":"2026-07-05T01:00:15.914750+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.09091","created_at":"2026-07-05T01:00:15.914750+00:00"},{"alias_kind":"pith_short_12","alias_value":"PL3E5BOIFCVN","created_at":"2026-07-05T01:00:15.914750+00:00"},{"alias_kind":"pith_short_16","alias_value":"PL3E5BOIFCVN3ZXF","created_at":"2026-07-05T01:00:15.914750+00:00"},{"alias_kind":"pith_short_8","alias_value":"PL3E5BOI","created_at":"2026-07-05T01:00:15.914750+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/PL3E5BOIFCVN3ZXFDKDX4BBVDI","json":"https://pith.science/pith/PL3E5BOIFCVN3ZXFDKDX4BBVDI.json","graph_json":"https://pith.science/api/pith-number/PL3E5BOIFCVN3ZXFDKDX4BBVDI/graph.json","events_json":"https://pith.science/api/pith-number/PL3E5BOIFCVN3ZXFDKDX4BBVDI/events.json","paper":"https://pith.science/paper/PL3E5BOI"},"agent_actions":{"view_html":"https://pith.science/pith/PL3E5BOIFCVN3ZXFDKDX4BBVDI","download_json":"https://pith.science/pith/PL3E5BOIFCVN3ZXFDKDX4BBVDI.json","view_paper":"https://pith.science/paper/PL3E5BOI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2001.09091&json=true","fetch_graph":"https://pith.science/api/pith-number/PL3E5BOIFCVN3ZXFDKDX4BBVDI/graph.json","fetch_events":"https://pith.science/api/pith-number/PL3E5BOIFCVN3ZXFDKDX4BBVDI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PL3E5BOIFCVN3ZXFDKDX4BBVDI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PL3E5BOIFCVN3ZXFDKDX4BBVDI/action/storage_attestation","attest_author":"https://pith.science/pith/PL3E5BOIFCVN3ZXFDKDX4BBVDI/action/author_attestation","sign_citation":"https://pith.science/pith/PL3E5BOIFCVN3ZXFDKDX4BBVDI/action/citation_signature","submit_replication":"https://pith.science/pith/PL3E5BOIFCVN3ZXFDKDX4BBVDI/action/replication_record"}},"created_at":"2026-07-05T01:00:15.914750+00:00","updated_at":"2026-07-05T01:00:15.914750+00:00"}