{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RXLYCHKB64Q6AWGOR6NS3XSWX2","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":"55c169410362618703f625af7d85cb40ac8be865fd95862de1590af4096050ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-08-09T16:45:12Z","title_canon_sha256":"a6fe34efba2caff318b491e94c2f957f1f6a3394ace1ecb8ea681201c2be4fa7"},"schema_version":"1.0","source":{"id":"1608.02860","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.02860","created_at":"2026-05-18T00:42:44Z"},{"alias_kind":"arxiv_version","alias_value":"1608.02860v3","created_at":"2026-05-18T00:42:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02860","created_at":"2026-05-18T00:42:44Z"},{"alias_kind":"pith_short_12","alias_value":"RXLYCHKB64Q6","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RXLYCHKB64Q6AWGO","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RXLYCHKB","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:bb98bd5d1d62542485166f5e786ba4c2e292d614592180e26eea685f809dd37c","target":"graph","created_at":"2026-05-18T00:42:44Z","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"},"paper":{"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","authors_text":"Johannes Wanner, Karl-Heinz H\\\"ock, Ulrich Eckern","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-08-09T16:45:12Z","title":"Theory of invariants-based formulation of ${\\bf k}\\cdot{\\bf p}$ Hamiltonians with application to strained zinc-blende crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02860","kind":"arxiv","version":3},"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:b11a17d999426e59d4484a133f3cf4c780251ea34df51f8b274f22534be9b9cf","target":"record","created_at":"2026-05-18T00:42:44Z","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":"55c169410362618703f625af7d85cb40ac8be865fd95862de1590af4096050ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-08-09T16:45:12Z","title_canon_sha256":"a6fe34efba2caff318b491e94c2f957f1f6a3394ace1ecb8ea681201c2be4fa7"},"schema_version":"1.0","source":{"id":"1608.02860","kind":"arxiv","version":3}},"canonical_sha256":"8dd7811d41f721e058ce8f9b2dde56be8bcea2b9ed4637cb183f2e46aa93532d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8dd7811d41f721e058ce8f9b2dde56be8bcea2b9ed4637cb183f2e46aa93532d","first_computed_at":"2026-05-18T00:42:44.264875Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:44.264875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FvWQ5jnyfWCc/2x2UHGhwVxr8Zz2awaNfncnuE6a00gbpC81ZC5H1MagrXiNPVcdbhyxQcU1kLT4y2cg5p8mDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:44.265490Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.02860","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b11a17d999426e59d4484a133f3cf4c780251ea34df51f8b274f22534be9b9cf","sha256:bb98bd5d1d62542485166f5e786ba4c2e292d614592180e26eea685f809dd37c"],"state_sha256":"8a0d9c873fad3548f51a9e92bee9e793bb075b71aca3143b7163ecc299fa1dda"}