{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:QTYCO52CY33KI3K2GEZCY5NWNM","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":"a1d19ba6009ddfd72b1d2bd27f8884485617b018d6d39b7494809dc6e52bc846","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2022-09-30T11:17:24Z","title_canon_sha256":"777276b68cfbdac8f5320a3e10c31e840d90c9c641d908fea159fca5a6404893"},"schema_version":"1.0","source":{"id":"2209.15381","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.15381","created_at":"2026-07-05T09:36:06Z"},{"alias_kind":"arxiv_version","alias_value":"2209.15381v5","created_at":"2026-07-05T09:36:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.15381","created_at":"2026-07-05T09:36:06Z"},{"alias_kind":"pith_short_12","alias_value":"QTYCO52CY33K","created_at":"2026-07-05T09:36:06Z"},{"alias_kind":"pith_short_16","alias_value":"QTYCO52CY33KI3K2","created_at":"2026-07-05T09:36:06Z"},{"alias_kind":"pith_short_8","alias_value":"QTYCO52C","created_at":"2026-07-05T09:36:06Z"}],"graph_snapshots":[{"event_id":"sha256:f8c990b0bcf274874ed321542597789715902959c3b0252e259e4c96b556582c","target":"graph","created_at":"2026-07-05T09:36:06Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2209.15381/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Here, we reveal our recent progress on a geometrical approach of quantum physics and topological crystals linking with Dirac magnetic monopoles and gauge fields through classical electrodynamics. The Bloch sphere of a quantum spin-1/2 particle acquires an integer topological charge in the presence of a radial magnetic field. We show that global topological properties are encoded from the poles of the surface allowing a correspondence between smooth fields, metric and quantum distance with the square of the topological number. The information is transported from each pole to the equatorial plan","authors_text":"Karyn Le Hur","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2022-09-30T11:17:24Z","title":"Topological Matter and Fractional Entangled Quantum Geometry through Light"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.15381","kind":"arxiv","version":5},"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":"sha256:921ef2c3a7532894e5824dbd8b1fc4c9644b6bdbb3c90392bbb6f8c02a261979","target":"record","created_at":"2026-07-05T09:36:06Z","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":"a1d19ba6009ddfd72b1d2bd27f8884485617b018d6d39b7494809dc6e52bc846","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2022-09-30T11:17:24Z","title_canon_sha256":"777276b68cfbdac8f5320a3e10c31e840d90c9c641d908fea159fca5a6404893"},"schema_version":"1.0","source":{"id":"2209.15381","kind":"arxiv","version":5}},"canonical_sha256":"84f0277742c6f6a46d5a31322c75b66b01045cbe09f22d09186c2f7f36f7557e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84f0277742c6f6a46d5a31322c75b66b01045cbe09f22d09186c2f7f36f7557e","first_computed_at":"2026-07-05T09:36:06.697675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:36:06.697675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QbDXQRR4SLQiIX75s7U5Fv75QHLsjjGWbF4WeNRJobB2wijLQZFlbQEUqtjJ+o2d6Ql22gH8pTvGfa/XUL4gCA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:36:06.698054Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.15381","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:921ef2c3a7532894e5824dbd8b1fc4c9644b6bdbb3c90392bbb6f8c02a261979","sha256:f8c990b0bcf274874ed321542597789715902959c3b0252e259e4c96b556582c"],"state_sha256":"3c674c19c7d1d2777f3032ffcd8f5d6c1ec0486bc04a5006f70b9be36a0dc239"}