{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UD22WUVXCTVPZLF27D3Q2DFRBY","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":"1eae9df0a16c0a63e76710a2421eb7d54ce0ba0c44ca092ff7b750bab40f4cee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2014-09-18T15:33:15Z","title_canon_sha256":"78e84a65b024feddd71e8db74c660e2ea3453ccef141740d7e15cd3b7c2d9410"},"schema_version":"1.0","source":{"id":"1409.5343","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5343","created_at":"2026-05-18T02:28:31Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5343v3","created_at":"2026-05-18T02:28:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5343","created_at":"2026-05-18T02:28:31Z"},{"alias_kind":"pith_short_12","alias_value":"UD22WUVXCTVP","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UD22WUVXCTVPZLF2","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UD22WUVX","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:980e828ed0d1a1c223243d2e45c379e0735cbf7269b139af13a63d16b50d909e","target":"graph","created_at":"2026-05-18T02:28:31Z","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":"We show that the spectral weights $W_{m\\vec K}(\\vec k)$ used for the unfolding of two-component spinor eigenstates $| {\\psi_{m\\vec K}^\\mathrm{SC}} > = | \\alpha > | {\\psi_{m\\vec{K}}^\\mathrm{SC, \\alpha}} > + | \\beta > | {\\psi_{m\\vec{K}}^\\mathrm{SC, \\beta}} >$ can be decomposed as the sum of the partial spectral weights $W_{m\\vec{K}}^{\\mu}(\\vec k)$ calculated for each component $\\mu = \\alpha, \\beta$ independently, effortlessly turning a possibly complicated problem involving two coupled quantities into two independent problems of easy solution. Furthermore, we define the unfolding-density operato","authors_text":"Jonas Bj\\\"ork, Paulo V. C. Medeiros, Stepan S. Tsirkin, Sven Stafstr\\\"om","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2014-09-18T15:33:15Z","title":"Unfolding spinor wavefunctions and expectation values of general operators: Introducing the unfolding-density operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5343","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:cda8415329b9d03ee9bfcaa081022a970230e4c0b0d201d87bd0978bead65d83","target":"record","created_at":"2026-05-18T02:28:31Z","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":"1eae9df0a16c0a63e76710a2421eb7d54ce0ba0c44ca092ff7b750bab40f4cee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2014-09-18T15:33:15Z","title_canon_sha256":"78e84a65b024feddd71e8db74c660e2ea3453ccef141740d7e15cd3b7c2d9410"},"schema_version":"1.0","source":{"id":"1409.5343","kind":"arxiv","version":3}},"canonical_sha256":"a0f5ab52b714eafcacbaf8f70d0cb10e06048165abd9dab37445a8ede5e2e1bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0f5ab52b714eafcacbaf8f70d0cb10e06048165abd9dab37445a8ede5e2e1bd","first_computed_at":"2026-05-18T02:28:31.403444Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:31.403444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JuIvuWxjKtFN/P7NKYVGPcNFwwTFfkm66wbO/fGjeGSPi7v2WOG3B7thhgMNZXvOYfGDyk6Eul0oT8PC8uUPCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:31.404092Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5343","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cda8415329b9d03ee9bfcaa081022a970230e4c0b0d201d87bd0978bead65d83","sha256:980e828ed0d1a1c223243d2e45c379e0735cbf7269b139af13a63d16b50d909e"],"state_sha256":"79548ce1815f3357f21f38bd107364b324f3397f8006e2897db54d94294b8bba"}