{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:55KVFDRQJVOODMKJU32GOKV5H4","short_pith_number":"pith:55KVFDRQ","schema_version":"1.0","canonical_sha256":"ef55528e304d5ce1b149a6f4672abd3f0be904b40c11a63bdac9fb752834abe1","source":{"kind":"arxiv","id":"2607.26308","version":1},"attestation_state":"computed","paper":{"title":"Hidden symmetry at the diabolical points of a biaxial spin","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Shadan Ghassemi Tabrizi","submitted_at":"2026-07-28T22:06:27Z","abstract_excerpt":"In a rotated frame the biaxial spin Hamiltonian $k_1S_x^2+k_2S_y^2-\\mathbf{h}\\cdot\\mathbf{S}$ is a finite tight-binding chain whose hopping amplitudes are tuned by the applied field. A chain with no vanishing hopping has a nondegenerate spectrum, so a degeneracy can occur only where the field severs the chain. We show that at every point of the exact diabolical-point lattice found by Kececioglu and Garg the chain is severed twice over, in two different rotated frames and at two bonds that are fixed independently. The two severings are carried by projectors that commute with the Hamiltonian but"},"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":"2607.26308","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-28T22:06:27Z","cross_cats_sorted":[],"title_canon_sha256":"db97337c78e3656fd0815ea816b84dd2fc335c672b7720bdaf9bad24c493fabc","abstract_canon_sha256":"751545918ac741444438d3983ce39edad039e064593c411a708535ab890412db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef55528e304d5ce1b149a6f4672abd3f0be904b40c11a63bdac9fb752834abe1","last_reissued_at":"2026-07-30T01:17:58.713477Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-30T01:17:58.713477Z"},"graph_snapshot":{"paper":{"title":"Hidden symmetry at the diabolical points of a biaxial spin","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Shadan Ghassemi Tabrizi","submitted_at":"2026-07-28T22:06:27Z","abstract_excerpt":"In a rotated frame the biaxial spin Hamiltonian $k_1S_x^2+k_2S_y^2-\\mathbf{h}\\cdot\\mathbf{S}$ is a finite tight-binding chain whose hopping amplitudes are tuned by the applied field. A chain with no vanishing hopping has a nondegenerate spectrum, so a degeneracy can occur only where the field severs the chain. We show that at every point of the exact diabolical-point lattice found by Kececioglu and Garg the chain is severed twice over, in two different rotated frames and at two bonds that are fixed independently. The two severings are carried by projectors that commute with the Hamiltonian but"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.26308","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/2607.26308/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":"2607.26308","created_at":"2026-07-30T01:17:58.718652+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.26308v1","created_at":"2026-07-30T01:17:58.718652+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.26308","created_at":"2026-07-30T01:17:58.718652+00:00"},{"alias_kind":"pith_short_12","alias_value":"55KVFDRQJVOO","created_at":"2026-07-30T01:17:58.718652+00:00"},{"alias_kind":"pith_short_16","alias_value":"55KVFDRQJVOODMKJ","created_at":"2026-07-30T01:17:58.718652+00:00"},{"alias_kind":"pith_short_8","alias_value":"55KVFDRQ","created_at":"2026-07-30T01:17:58.718652+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/55KVFDRQJVOODMKJU32GOKV5H4","json":"https://pith.science/pith/55KVFDRQJVOODMKJU32GOKV5H4.json","graph_json":"https://pith.science/api/pith-number/55KVFDRQJVOODMKJU32GOKV5H4/graph.json","events_json":"https://pith.science/api/pith-number/55KVFDRQJVOODMKJU32GOKV5H4/events.json","paper":"https://pith.science/paper/55KVFDRQ"},"agent_actions":{"view_html":"https://pith.science/pith/55KVFDRQJVOODMKJU32GOKV5H4","download_json":"https://pith.science/pith/55KVFDRQJVOODMKJU32GOKV5H4.json","view_paper":"https://pith.science/paper/55KVFDRQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.26308&json=true","fetch_graph":"https://pith.science/api/pith-number/55KVFDRQJVOODMKJU32GOKV5H4/graph.json","fetch_events":"https://pith.science/api/pith-number/55KVFDRQJVOODMKJU32GOKV5H4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/55KVFDRQJVOODMKJU32GOKV5H4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/55KVFDRQJVOODMKJU32GOKV5H4/action/storage_attestation","attest_author":"https://pith.science/pith/55KVFDRQJVOODMKJU32GOKV5H4/action/author_attestation","sign_citation":"https://pith.science/pith/55KVFDRQJVOODMKJU32GOKV5H4/action/citation_signature","submit_replication":"https://pith.science/pith/55KVFDRQJVOODMKJU32GOKV5H4/action/replication_record"}},"created_at":"2026-07-30T01:17:58.718652+00:00","updated_at":"2026-07-30T01:17:58.718652+00:00"}