{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:MPMAKFRNEVO6IJQQ6BZCDVYL4L","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":"e927db5428ff5fa39ee2a712df604d18ca98b8e7dc4bee1088c8e85e064d724a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-07-14T04:23:16Z","title_canon_sha256":"9a5465f45661efd88212738c589400ecf871af8ea74b9b022d5e0a026ab15add"},"schema_version":"1.0","source":{"id":"2507.09906","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.09906","created_at":"2026-06-26T01:15:13Z"},{"alias_kind":"arxiv_version","alias_value":"2507.09906v5","created_at":"2026-06-26T01:15:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.09906","created_at":"2026-06-26T01:15:13Z"},{"alias_kind":"pith_short_12","alias_value":"MPMAKFRNEVO6","created_at":"2026-06-26T01:15:13Z"},{"alias_kind":"pith_short_16","alias_value":"MPMAKFRNEVO6IJQQ","created_at":"2026-06-26T01:15:13Z"},{"alias_kind":"pith_short_8","alias_value":"MPMAKFRN","created_at":"2026-06-26T01:15:13Z"}],"graph_snapshots":[{"event_id":"sha256:206ad51a3ccc12a2f2264ae5e0b943f982aa85739f3f5507b50207d8cf29293d","target":"graph","created_at":"2026-06-26T01:15:13Z","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/2507.09906/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Following recent intensive studies on altermagnetism(ALM) characterized by non-relativistic even-parity spin splitting, realizing unconventional odd-parity magnetism has also attracted increasing interest. Here, using symmetry arguments based on spin-group analyses, we elucidate sufficient conditions for the emergence of odd-parity spin splitting in collinear antiferromagnetic systems, which is further established as the standard odd-parity ALM. It is derived that the odd-parity ALM arises from the following criteria: (i)the breaking nonmagnetic time reversal symmetry(TRS), i.e., the breaking ","authors_text":"Dong-Hui Xu, Ling Qin, Lin Wu, Minghuan Zeng, Rui Wang, Shiping Feng, Zheng Qin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-07-14T04:23:16Z","title":"The odd-parity altermagnetism: A spin group study"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.09906","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:d0457f01366c60b756acd5a271cdac5bf3075641b3a5e5c5e50bf5f9557c6e2e","target":"record","created_at":"2026-06-26T01:15:13Z","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":"e927db5428ff5fa39ee2a712df604d18ca98b8e7dc4bee1088c8e85e064d724a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-07-14T04:23:16Z","title_canon_sha256":"9a5465f45661efd88212738c589400ecf871af8ea74b9b022d5e0a026ab15add"},"schema_version":"1.0","source":{"id":"2507.09906","kind":"arxiv","version":5}},"canonical_sha256":"63d805162d255de42610f07221d70be2d2b13fb568374d3571cf44bba8fc548d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63d805162d255de42610f07221d70be2d2b13fb568374d3571cf44bba8fc548d","first_computed_at":"2026-06-26T01:15:13.980151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-26T01:15:13.980151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TX7/3ZJEeKuAO45ahBJgRs6cZ2qIS5e+deKK8SqVZ2WzSjgs/8IkHprKj6zHa9i++/Fh0GKBkI6emYahREoFDQ==","signature_status":"signed_v1","signed_at":"2026-06-26T01:15:13.980545Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.09906","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0457f01366c60b756acd5a271cdac5bf3075641b3a5e5c5e50bf5f9557c6e2e","sha256:206ad51a3ccc12a2f2264ae5e0b943f982aa85739f3f5507b50207d8cf29293d"],"state_sha256":"57ae0ead7de9c1416efd85fb1a63905400b5898efd1df462310abab5b179c779"}