{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OBDEMUC77272WPQ4O6KUVRW3KN","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":"333cec43e33301cfbb978edd378ccb8003329f130660aff6a8ab11a084723427","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-06-21T18:00:03Z","title_canon_sha256":"8bd5254bd37f41970581627596e635a5882c1f6ef1a197b536eeac959e3d79d7"},"schema_version":"1.0","source":{"id":"1806.08363","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.08363","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"arxiv_version","alias_value":"1806.08363v1","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.08363","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"pith_short_12","alias_value":"OBDEMUC77272","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OBDEMUC77272WPQ4","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OBDEMUC7","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:8d71e71b3f0104fee3254ff13648b89ed9ddb0919f95b013e0ca82d6a2849052","target":"graph","created_at":"2026-05-18T00:04:44Z","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":"Symmetry is a guiding principle in physics that allows to generalize conclusions between many physical systems. In the ongoing search for new topological phases of matter, symmetry plays a crucial role because it protects topological phases. We address two converse questions relevant to the symmetry classification of systems: Is it possible to generate all possible single-body Hamiltonians compatible with a given symmetry group? Is it possible to find all the symmetries of a given family of Hamiltonians? We present numerically stable, deterministic polynomial time algorithms to solve both of t","authors_text":"Anton R. Akhmerov, Daniel Varjas, Tomas O. Rosdahl","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-06-21T18:00:03Z","title":"Qsymm: Algorithmic symmetry finding and symmetric Hamiltonian generation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.08363","kind":"arxiv","version":1},"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":"sha256:4db5423f415612f6eb581fe683dd43fcc9cc3d0ada9f06936533cd2ea041f026","target":"record","created_at":"2026-05-18T00:04:44Z","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":"333cec43e33301cfbb978edd378ccb8003329f130660aff6a8ab11a084723427","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-06-21T18:00:03Z","title_canon_sha256":"8bd5254bd37f41970581627596e635a5882c1f6ef1a197b536eeac959e3d79d7"},"schema_version":"1.0","source":{"id":"1806.08363","kind":"arxiv","version":1}},"canonical_sha256":"704646505ffebfab3e1c77954ac6db5368281c13ca9c1d98cf87aaf4f911ba83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"704646505ffebfab3e1c77954ac6db5368281c13ca9c1d98cf87aaf4f911ba83","first_computed_at":"2026-05-18T00:04:44.650894Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:44.650894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CVYGpDnbAjviFxUu8UIQhsiZLYYRATNjGgERn36n32ndHaqHYjLq4MjzAMdIrqBwnSiL2rV4bQRSNpJaDNnwBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:44.651390Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.08363","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4db5423f415612f6eb581fe683dd43fcc9cc3d0ada9f06936533cd2ea041f026","sha256:8d71e71b3f0104fee3254ff13648b89ed9ddb0919f95b013e0ca82d6a2849052"],"state_sha256":"640729664c5d814aa072b93a51f0de8230ca486132aab7ea2c20624ccbcd9e77"}