{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:MATHY6AISOWJ2BRM5RN7RFI3NK","short_pith_number":"pith:MATHY6AI","schema_version":"1.0","canonical_sha256":"60267c780893ac9d062cec5bf8951b6a86fc03982a15bc104bd8f72a4ae31d7d","source":{"kind":"arxiv","id":"2608.06168","version":1},"attestation_state":"computed","paper":{"title":"Neural Flux Attachment: From Bose Condensates to Chiral Topological Matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Khachatur G. Nazaryan, Rudik Badalyan, Tigran A. Sedrakyan","submitted_at":"2026-08-06T15:34:18Z","abstract_excerpt":"Can one neural wave function describe both a Bose condensate and a chiral topological liquid? We introduce ChernFormer, which combines a fermionic transformer with a fixed Chern-Simons phase that attaches one statistical vortex to every particle pair. Each factor changes sign under exchange, so their product is exactly bosonic. The fixed phase changes statistics but not probability, making every bosonic learning problem equivalent to a fermionic one with the same approximation error and overlap. With enough capacity, ChernFormer can approximate any normalizable bosonic wave function on the pla"},"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":"2608.06168","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-08-06T15:34:18Z","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"title_canon_sha256":"a4061544aab7f68a00001db047006ba85f160494941cf256ea5dee4897686dbc","abstract_canon_sha256":"0a64e3a069645e3036da39ba7f829503d5360b2f7f621ca63859ca8e1a561885"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-07T01:40:51.880599Z","signature_b64":"+p+tUtpODEmeSDTOPYIxJ2UfMpUlN7zriMSiW/LL2lJiZUetLwxH0UHvPJ9ioItIPT0NqVHbmWG/60GArm9EDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60267c780893ac9d062cec5bf8951b6a86fc03982a15bc104bd8f72a4ae31d7d","last_reissued_at":"2026-08-07T01:40:51.879086Z","signature_status":"signed_v1","first_computed_at":"2026-08-07T01:40:51.879086Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Neural Flux Attachment: From Bose Condensates to Chiral Topological Matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Khachatur G. Nazaryan, Rudik Badalyan, Tigran A. Sedrakyan","submitted_at":"2026-08-06T15:34:18Z","abstract_excerpt":"Can one neural wave function describe both a Bose condensate and a chiral topological liquid? We introduce ChernFormer, which combines a fermionic transformer with a fixed Chern-Simons phase that attaches one statistical vortex to every particle pair. Each factor changes sign under exchange, so their product is exactly bosonic. The fixed phase changes statistics but not probability, making every bosonic learning problem equivalent to a fermionic one with the same approximation error and overlap. With enough capacity, ChernFormer can approximate any normalizable bosonic wave function on the pla"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.06168","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/2608.06168/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":"2608.06168","created_at":"2026-08-07T01:40:51.881601+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.06168v1","created_at":"2026-08-07T01:40:51.881601+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.06168","created_at":"2026-08-07T01:40:51.881601+00:00"},{"alias_kind":"pith_short_12","alias_value":"MATHY6AISOWJ","created_at":"2026-08-07T01:40:51.881601+00:00"},{"alias_kind":"pith_short_16","alias_value":"MATHY6AISOWJ2BRM","created_at":"2026-08-07T01:40:51.881601+00:00"},{"alias_kind":"pith_short_8","alias_value":"MATHY6AI","created_at":"2026-08-07T01:40:51.881601+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/MATHY6AISOWJ2BRM5RN7RFI3NK","json":"https://pith.science/pith/MATHY6AISOWJ2BRM5RN7RFI3NK.json","graph_json":"https://pith.science/api/pith-number/MATHY6AISOWJ2BRM5RN7RFI3NK/graph.json","events_json":"https://pith.science/api/pith-number/MATHY6AISOWJ2BRM5RN7RFI3NK/events.json","paper":"https://pith.science/paper/MATHY6AI"},"agent_actions":{"view_html":"https://pith.science/pith/MATHY6AISOWJ2BRM5RN7RFI3NK","download_json":"https://pith.science/pith/MATHY6AISOWJ2BRM5RN7RFI3NK.json","view_paper":"https://pith.science/paper/MATHY6AI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.06168&json=true","fetch_graph":"https://pith.science/api/pith-number/MATHY6AISOWJ2BRM5RN7RFI3NK/graph.json","fetch_events":"https://pith.science/api/pith-number/MATHY6AISOWJ2BRM5RN7RFI3NK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MATHY6AISOWJ2BRM5RN7RFI3NK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MATHY6AISOWJ2BRM5RN7RFI3NK/action/storage_attestation","attest_author":"https://pith.science/pith/MATHY6AISOWJ2BRM5RN7RFI3NK/action/author_attestation","sign_citation":"https://pith.science/pith/MATHY6AISOWJ2BRM5RN7RFI3NK/action/citation_signature","submit_replication":"https://pith.science/pith/MATHY6AISOWJ2BRM5RN7RFI3NK/action/replication_record"}},"created_at":"2026-08-07T01:40:51.881601+00:00","updated_at":"2026-08-07T01:40:51.881601+00:00"}