{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:KUTMWEWA3ONPGH35KGG5LJOJRD","short_pith_number":"pith:KUTMWEWA","schema_version":"1.0","canonical_sha256":"5526cb12c0db9af31f7d518dd5a5c988ea9348c29241695df4348713dc14c5ac","source":{"kind":"arxiv","id":"0709.1457","version":1},"attestation_state":"computed","paper":{"title":"What happens to geometric phase when spin-orbit interactions lift band degeneracy?","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Philip B. Allen","submitted_at":"2007-09-10T18:09:08Z","abstract_excerpt":"Spin-orbit interaction lifts accidental band degeneracy. The geometric phase gamma(C)=pi for circuits surrounding a line of such degeneracy cannot survive completely unchanged. The change depends on how the spin is fixed during adiabatic evolution. For spin fixed along the internal spin-orbit field, gamma(C) decreases to zero as the circuit collapses around the line of lifted degeneracy. For spin fixed along a perpendicular axis, the conical intersection persists and gamma(C)=pi is unchanged."},"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":"0709.1457","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-09-10T18:09:08Z","cross_cats_sorted":[],"title_canon_sha256":"9214eb572489bf198186275729dda5fb41a1302a9cf44cfed9d662060fcd574b","abstract_canon_sha256":"648f4d53987a83547e0ebb4cca908247b78670e0d2c74262116d4f89fde4ea3f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:22.681011Z","signature_b64":"kdIUXRmDBLghn26pl2UBuOlO1MGTfF639+zCMUQ5tr99Wb5WrlEDBXLw+KaLTQAj/B7/M8CzKNP/lt4mIxAQCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5526cb12c0db9af31f7d518dd5a5c988ea9348c29241695df4348713dc14c5ac","last_reissued_at":"2026-05-18T00:20:22.680495Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:22.680495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"What happens to geometric phase when spin-orbit interactions lift band degeneracy?","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Philip B. Allen","submitted_at":"2007-09-10T18:09:08Z","abstract_excerpt":"Spin-orbit interaction lifts accidental band degeneracy. The geometric phase gamma(C)=pi for circuits surrounding a line of such degeneracy cannot survive completely unchanged. The change depends on how the spin is fixed during adiabatic evolution. For spin fixed along the internal spin-orbit field, gamma(C) decreases to zero as the circuit collapses around the line of lifted degeneracy. For spin fixed along a perpendicular axis, the conical intersection persists and gamma(C)=pi is unchanged."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.1457","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":""},"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":"0709.1457","created_at":"2026-05-18T00:20:22.680564+00:00"},{"alias_kind":"arxiv_version","alias_value":"0709.1457v1","created_at":"2026-05-18T00:20:22.680564+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.1457","created_at":"2026-05-18T00:20:22.680564+00:00"},{"alias_kind":"pith_short_12","alias_value":"KUTMWEWA3ONP","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"KUTMWEWA3ONPGH35","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"KUTMWEWA","created_at":"2026-05-18T12:25:55.427421+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/KUTMWEWA3ONPGH35KGG5LJOJRD","json":"https://pith.science/pith/KUTMWEWA3ONPGH35KGG5LJOJRD.json","graph_json":"https://pith.science/api/pith-number/KUTMWEWA3ONPGH35KGG5LJOJRD/graph.json","events_json":"https://pith.science/api/pith-number/KUTMWEWA3ONPGH35KGG5LJOJRD/events.json","paper":"https://pith.science/paper/KUTMWEWA"},"agent_actions":{"view_html":"https://pith.science/pith/KUTMWEWA3ONPGH35KGG5LJOJRD","download_json":"https://pith.science/pith/KUTMWEWA3ONPGH35KGG5LJOJRD.json","view_paper":"https://pith.science/paper/KUTMWEWA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0709.1457&json=true","fetch_graph":"https://pith.science/api/pith-number/KUTMWEWA3ONPGH35KGG5LJOJRD/graph.json","fetch_events":"https://pith.science/api/pith-number/KUTMWEWA3ONPGH35KGG5LJOJRD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KUTMWEWA3ONPGH35KGG5LJOJRD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KUTMWEWA3ONPGH35KGG5LJOJRD/action/storage_attestation","attest_author":"https://pith.science/pith/KUTMWEWA3ONPGH35KGG5LJOJRD/action/author_attestation","sign_citation":"https://pith.science/pith/KUTMWEWA3ONPGH35KGG5LJOJRD/action/citation_signature","submit_replication":"https://pith.science/pith/KUTMWEWA3ONPGH35KGG5LJOJRD/action/replication_record"}},"created_at":"2026-05-18T00:20:22.680564+00:00","updated_at":"2026-05-18T00:20:22.680564+00:00"}