{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OBDEMUC77272WPQ4O6KUVRW3KN","short_pith_number":"pith:OBDEMUC7","canonical_record":{"source":{"id":"1806.08363","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-06-21T18:00:03Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"8bd5254bd37f41970581627596e635a5882c1f6ef1a197b536eeac959e3d79d7","abstract_canon_sha256":"333cec43e33301cfbb978edd378ccb8003329f130660aff6a8ab11a084723427"},"schema_version":"1.0"},"canonical_sha256":"704646505ffebfab3e1c77954ac6db5368281c13ca9c1d98cf87aaf4f911ba83","source":{"kind":"arxiv","id":"1806.08363","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OBDEMUC77272WPQ4O6KUVRW3KN","target":"record","payload":{"canonical_record":{"source":{"id":"1806.08363","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-06-21T18:00:03Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"8bd5254bd37f41970581627596e635a5882c1f6ef1a197b536eeac959e3d79d7","abstract_canon_sha256":"333cec43e33301cfbb978edd378ccb8003329f130660aff6a8ab11a084723427"},"schema_version":"1.0"},"canonical_sha256":"704646505ffebfab3e1c77954ac6db5368281c13ca9c1d98cf87aaf4f911ba83","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:44.651390Z","signature_b64":"CVYGpDnbAjviFxUu8UIQhsiZLYYRATNjGgERn36n32ndHaqHYjLq4MjzAMdIrqBwnSiL2rV4bQRSNpJaDNnwBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"704646505ffebfab3e1c77954ac6db5368281c13ca9c1d98cf87aaf4f911ba83","last_reissued_at":"2026-05-18T00:04:44.650894Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:44.650894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.08363","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hxew2f9MxnkVhy3HVEZqUWjpPxyY71RTd0OXMsco4y9ytNN+qX0kEJg5mCZG/c3n9rDt6cwiA9oMM0rQhE1HDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:41:25.392555Z"},"content_sha256":"4db5423f415612f6eb581fe683dd43fcc9cc3d0ada9f06936533cd2ea041f026","schema_version":"1.0","event_id":"sha256:4db5423f415612f6eb581fe683dd43fcc9cc3d0ada9f06936533cd2ea041f026"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OBDEMUC77272WPQ4O6KUVRW3KN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Qsymm: Algorithmic symmetry finding and symmetric Hamiltonian generation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.str-el","authors_text":"Anton R. Akhmerov, Daniel Varjas, Tomas O. Rosdahl","submitted_at":"2018-06-21T18:00:03Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.08363","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aQp9rljHchmYzJjgv2GFrTnVF1qz3ntu8DVjXMbHTli8w+EgR/MUGiB7JQAbk9vQQxbX3hnqg7iWkyqwZ0mcAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:41:25.393181Z"},"content_sha256":"8d71e71b3f0104fee3254ff13648b89ed9ddb0919f95b013e0ca82d6a2849052","schema_version":"1.0","event_id":"sha256:8d71e71b3f0104fee3254ff13648b89ed9ddb0919f95b013e0ca82d6a2849052"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OBDEMUC77272WPQ4O6KUVRW3KN/bundle.json","state_url":"https://pith.science/pith/OBDEMUC77272WPQ4O6KUVRW3KN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OBDEMUC77272WPQ4O6KUVRW3KN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T20:41:25Z","links":{"resolver":"https://pith.science/pith/OBDEMUC77272WPQ4O6KUVRW3KN","bundle":"https://pith.science/pith/OBDEMUC77272WPQ4O6KUVRW3KN/bundle.json","state":"https://pith.science/pith/OBDEMUC77272WPQ4O6KUVRW3KN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OBDEMUC77272WPQ4O6KUVRW3KN/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IH2zs4wXeVhhprEjqSXCl6AHFmRks0kFkuGjN04KWg9l0r0yKJWzjNeHxwzPJxbqiH5bDW27XMruC33kujRHCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:41:25.396777Z","bundle_sha256":"8b2409d9f912513dd6d4c1750de42d4a0312ef84c66f0e575097a7ab28b2b96f"}}