{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GMPMMLLTMKZHSA7EKAFZ7JGPOS","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":"f3490345d738e46190ef197f4ca697a936be220481099e82a916e5dbb0dff0c7","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-06-26T18:00:03Z","title_canon_sha256":"bc421bb571be3da585f245c81f7d372c9386b5f9a58661c4be62b80a9411e007"},"schema_version":"1.0","source":{"id":"1706.08529","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08529","created_at":"2026-05-18T00:36:31Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08529v2","created_at":"2026-05-18T00:36:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08529","created_at":"2026-05-18T00:36:31Z"},{"alias_kind":"pith_short_12","alias_value":"GMPMMLLTMKZH","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GMPMMLLTMKZHSA7E","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GMPMMLLT","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:737aa5957f3a1ac028324b371ad3ff59981f1a2b0705dac1dc6c0adb31703a3a","target":"graph","created_at":"2026-05-18T00:36:31Z","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":"Topological phases of noninteracting particles are distinguished by global properties of their band structure and eigenfunctions in momentum space. On the other hand, group theory as conventionally applied to solid-state physics focuses only on properties which are local (at high symmetry points, lines, and planes) in the Brillouin zone. To bridge this gap, we have previously [B. Bradlyn et al., Nature 547, 298--305 (2017)] mapped the problem of constructing global band structures out of local data to a graph construction problem. In this paper, we provide the explicit data and formulate the n","authors_text":"B. Andrei Bernevig, Barry Bradlyn, C. Felser, Jennifer Cano, L. Elcoro, M. G. Vergniory, M. I. Aroyo, Zhijun Wang","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-06-26T18:00:03Z","title":"Graph Theory Data for Topological Quantum Chemistry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08529","kind":"arxiv","version":2},"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:b594a3f4ef4448f4fec8433b95d89e7ab66d6b5d27cdbd9cce7f1d142a520b1f","target":"record","created_at":"2026-05-18T00:36:31Z","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":"f3490345d738e46190ef197f4ca697a936be220481099e82a916e5dbb0dff0c7","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-06-26T18:00:03Z","title_canon_sha256":"bc421bb571be3da585f245c81f7d372c9386b5f9a58661c4be62b80a9411e007"},"schema_version":"1.0","source":{"id":"1706.08529","kind":"arxiv","version":2}},"canonical_sha256":"331ec62d7362b27903e4500b9fa4cf74b6218266ed2167812a4246b2645ab28a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"331ec62d7362b27903e4500b9fa4cf74b6218266ed2167812a4246b2645ab28a","first_computed_at":"2026-05-18T00:36:31.103311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:31.103311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"khvwrDT5Uo0OjQXf4FYGnrNQeFcucd5SaODSxFqaymf7t1yGSLJzKVF+sE+Vu+nuQJJkcy907bmR+T1Q32UMBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:31.103880Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.08529","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b594a3f4ef4448f4fec8433b95d89e7ab66d6b5d27cdbd9cce7f1d142a520b1f","sha256:737aa5957f3a1ac028324b371ad3ff59981f1a2b0705dac1dc6c0adb31703a3a"],"state_sha256":"77fbb18619c797743e21a89f203d1e8b736f99ee923536973e9a5f4c63ddcd76"}