{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:RXLYCHKB64Q6AWGOR6NS3XSWX2","short_pith_number":"pith:RXLYCHKB","schema_version":"1.0","canonical_sha256":"8dd7811d41f721e058ce8f9b2dde56be8bcea2b9ed4637cb183f2e46aa93532d","source":{"kind":"arxiv","id":"1608.02860","version":3},"attestation_state":"computed","paper":{"title":"Theory of invariants-based formulation of ${\\bf k}\\cdot{\\bf p}$ Hamiltonians with application to strained zinc-blende crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Johannes Wanner, Karl-Heinz H\\\"ock, Ulrich Eckern","submitted_at":"2016-08-09T16:45:12Z","abstract_excerpt":"Group theoretical methods and ${\\bf k}\\cdot{\\bf p}$ theory are combined to determine spin-dependent contributions to the effective conduction band Hamiltonian. To obtain the constants in the effective Hamiltonian, in general all invariants of the Hamiltonian have to be determined. Hence, we present a systematic approach to keep track of all possible invariants and apply it to the ${\\bf k}\\cdot{\\bf p}$ Hamiltonian of crystals with zinc-blende symmetry, in order to obtain all possible contributions to effective quantities such as effective mass, g-factor and Dresselhaus constant. Further spin-de"},"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":"1608.02860","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-08-09T16:45:12Z","cross_cats_sorted":[],"title_canon_sha256":"a6fe34efba2caff318b491e94c2f957f1f6a3394ace1ecb8ea681201c2be4fa7","abstract_canon_sha256":"55c169410362618703f625af7d85cb40ac8be865fd95862de1590af4096050ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:44.265490Z","signature_b64":"FvWQ5jnyfWCc/2x2UHGhwVxr8Zz2awaNfncnuE6a00gbpC81ZC5H1MagrXiNPVcdbhyxQcU1kLT4y2cg5p8mDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8dd7811d41f721e058ce8f9b2dde56be8bcea2b9ed4637cb183f2e46aa93532d","last_reissued_at":"2026-05-18T00:42:44.264875Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:44.264875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theory of invariants-based formulation of ${\\bf k}\\cdot{\\bf p}$ Hamiltonians with application to strained zinc-blende crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Johannes Wanner, Karl-Heinz H\\\"ock, Ulrich Eckern","submitted_at":"2016-08-09T16:45:12Z","abstract_excerpt":"Group theoretical methods and ${\\bf k}\\cdot{\\bf p}$ theory are combined to determine spin-dependent contributions to the effective conduction band Hamiltonian. To obtain the constants in the effective Hamiltonian, in general all invariants of the Hamiltonian have to be determined. Hence, we present a systematic approach to keep track of all possible invariants and apply it to the ${\\bf k}\\cdot{\\bf p}$ Hamiltonian of crystals with zinc-blende symmetry, in order to obtain all possible contributions to effective quantities such as effective mass, g-factor and Dresselhaus constant. Further spin-de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02860","kind":"arxiv","version":3},"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":"1608.02860","created_at":"2026-05-18T00:42:44.264972+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.02860v3","created_at":"2026-05-18T00:42:44.264972+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02860","created_at":"2026-05-18T00:42:44.264972+00:00"},{"alias_kind":"pith_short_12","alias_value":"RXLYCHKB64Q6","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"RXLYCHKB64Q6AWGO","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"RXLYCHKB","created_at":"2026-05-18T12:30:41.710351+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/RXLYCHKB64Q6AWGOR6NS3XSWX2","json":"https://pith.science/pith/RXLYCHKB64Q6AWGOR6NS3XSWX2.json","graph_json":"https://pith.science/api/pith-number/RXLYCHKB64Q6AWGOR6NS3XSWX2/graph.json","events_json":"https://pith.science/api/pith-number/RXLYCHKB64Q6AWGOR6NS3XSWX2/events.json","paper":"https://pith.science/paper/RXLYCHKB"},"agent_actions":{"view_html":"https://pith.science/pith/RXLYCHKB64Q6AWGOR6NS3XSWX2","download_json":"https://pith.science/pith/RXLYCHKB64Q6AWGOR6NS3XSWX2.json","view_paper":"https://pith.science/paper/RXLYCHKB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.02860&json=true","fetch_graph":"https://pith.science/api/pith-number/RXLYCHKB64Q6AWGOR6NS3XSWX2/graph.json","fetch_events":"https://pith.science/api/pith-number/RXLYCHKB64Q6AWGOR6NS3XSWX2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RXLYCHKB64Q6AWGOR6NS3XSWX2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RXLYCHKB64Q6AWGOR6NS3XSWX2/action/storage_attestation","attest_author":"https://pith.science/pith/RXLYCHKB64Q6AWGOR6NS3XSWX2/action/author_attestation","sign_citation":"https://pith.science/pith/RXLYCHKB64Q6AWGOR6NS3XSWX2/action/citation_signature","submit_replication":"https://pith.science/pith/RXLYCHKB64Q6AWGOR6NS3XSWX2/action/replication_record"}},"created_at":"2026-05-18T00:42:44.264972+00:00","updated_at":"2026-05-18T00:42:44.264972+00:00"}