{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:N6NTX4YP6T2CUJQ4RZXTX6UJII","short_pith_number":"pith:N6NTX4YP","schema_version":"1.0","canonical_sha256":"6f9b3bf30ff4f42a261c8e6f3bfa89420dc6112c66e83294bdc26b59a2a8ab96","source":{"kind":"arxiv","id":"2608.01838","version":1},"attestation_state":"computed","paper":{"title":"Topological Defects in Triple-$Q$ Magnetic Orders: A Fixed-Lattice Homotopy Classification","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Jin-Tao Jin, Yi Zhou","submitted_at":"2026-08-03T07:49:11Z","abstract_excerpt":"Multiple-$Q$ magnetic orders combine continuous spin rotations with discrete crystalline sectors associated with translations and point-group transformations, producing a richer defect structure than conventional single-$Q$ magnets. We classify the bulk defects of all seven stable phases for $N=2$ and $3$ in the $M$-point triple-$Q$ Ginzburg--Landau theory with $(\\Vfour\\rtimes\\Dthree)\\times\\OO(N)$ symmetry, where $\\Vfour$ is the translation-generated Klein four-group. The atomic lattice is treated as a prescribed background, with lattice dislocations and disclinations excluded and the three Fo"},"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":"2608.01838","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-08-03T07:49:11Z","cross_cats_sorted":[],"title_canon_sha256":"37a36c1959a97516ccab247dd1f6c446bab36c45cc0dfeae7703adc5dca78cd6","abstract_canon_sha256":"d6a186a64ec8e8f7e15511e51c658ba55550c4b8b8ceed14e03772cb592dcae8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T02:07:22.761918Z","signature_b64":"RM+FCxRt+++bcDHxGSemp2Is9OrbssfWT/u0XdoOm75M78LZmZQYPK3Je2hq0ucR4vx1T1VziwgvyeTF8VXXDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f9b3bf30ff4f42a261c8e6f3bfa89420dc6112c66e83294bdc26b59a2a8ab96","last_reissued_at":"2026-08-04T02:07:22.760228Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T02:07:22.760228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological Defects in Triple-$Q$ Magnetic Orders: A Fixed-Lattice Homotopy Classification","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Jin-Tao Jin, Yi Zhou","submitted_at":"2026-08-03T07:49:11Z","abstract_excerpt":"Multiple-$Q$ magnetic orders combine continuous spin rotations with discrete crystalline sectors associated with translations and point-group transformations, producing a richer defect structure than conventional single-$Q$ magnets. We classify the bulk defects of all seven stable phases for $N=2$ and $3$ in the $M$-point triple-$Q$ Ginzburg--Landau theory with $(\\Vfour\\rtimes\\Dthree)\\times\\OO(N)$ symmetry, where $\\Vfour$ is the translation-generated Klein four-group. The atomic lattice is treated as a prescribed background, with lattice dislocations and disclinations excluded and the three Fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.01838","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/2608.01838/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":"2608.01838","created_at":"2026-08-04T02:07:22.761780+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.01838v1","created_at":"2026-08-04T02:07:22.761780+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.01838","created_at":"2026-08-04T02:07:22.761780+00:00"},{"alias_kind":"pith_short_12","alias_value":"N6NTX4YP6T2C","created_at":"2026-08-04T02:07:22.761780+00:00"},{"alias_kind":"pith_short_16","alias_value":"N6NTX4YP6T2CUJQ4","created_at":"2026-08-04T02:07:22.761780+00:00"},{"alias_kind":"pith_short_8","alias_value":"N6NTX4YP","created_at":"2026-08-04T02:07:22.761780+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/N6NTX4YP6T2CUJQ4RZXTX6UJII","json":"https://pith.science/pith/N6NTX4YP6T2CUJQ4RZXTX6UJII.json","graph_json":"https://pith.science/api/pith-number/N6NTX4YP6T2CUJQ4RZXTX6UJII/graph.json","events_json":"https://pith.science/api/pith-number/N6NTX4YP6T2CUJQ4RZXTX6UJII/events.json","paper":"https://pith.science/paper/N6NTX4YP"},"agent_actions":{"view_html":"https://pith.science/pith/N6NTX4YP6T2CUJQ4RZXTX6UJII","download_json":"https://pith.science/pith/N6NTX4YP6T2CUJQ4RZXTX6UJII.json","view_paper":"https://pith.science/paper/N6NTX4YP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.01838&json=true","fetch_graph":"https://pith.science/api/pith-number/N6NTX4YP6T2CUJQ4RZXTX6UJII/graph.json","fetch_events":"https://pith.science/api/pith-number/N6NTX4YP6T2CUJQ4RZXTX6UJII/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N6NTX4YP6T2CUJQ4RZXTX6UJII/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N6NTX4YP6T2CUJQ4RZXTX6UJII/action/storage_attestation","attest_author":"https://pith.science/pith/N6NTX4YP6T2CUJQ4RZXTX6UJII/action/author_attestation","sign_citation":"https://pith.science/pith/N6NTX4YP6T2CUJQ4RZXTX6UJII/action/citation_signature","submit_replication":"https://pith.science/pith/N6NTX4YP6T2CUJQ4RZXTX6UJII/action/replication_record"}},"created_at":"2026-08-04T02:07:22.761780+00:00","updated_at":"2026-08-04T02:07:22.761780+00:00"}