{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:ZYNSEHKUBMYIPBRKUD23KONCB2","short_pith_number":"pith:ZYNSEHKU","schema_version":"1.0","canonical_sha256":"ce1b221d540b3087862aa0f5b539a20e8e384e148358f929320d454679b329e2","source":{"kind":"arxiv","id":"2103.06865","version":2},"attestation_state":"computed","paper":{"title":"Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Frank Schindler, M. Michael Denner, Pascal M. Vecsei, Titus Neupert","submitted_at":"2021-03-11T18:52:01Z","abstract_excerpt":"We characterize non-Hermitian band structures by symmetry indicator topological invariants. Enabled by crystalline inversion symmetry, these indicators allow us to short-cut the calculation of conventional non-Hermitian topological invariants. In particular, we express the three-dimensional winding number of point-gapped non-Hermitian systems, which is defined as an integral over the whole Brillouin zone, in terms of symmetry eigenvalues at high-symmetry momenta. Furthermore, for time-reversal symmetric non-Hermitian topological insulators, we find that symmetry indicators characterize the ass"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2103.06865","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2021-03-11T18:52:01Z","cross_cats_sorted":[],"title_canon_sha256":"bbb515252f1caebe120964462b190944b708baee913720b2bdd7e3aa9d02787f","abstract_canon_sha256":"8fb6ee4a34b4b12947ed47d52028a9c440e83fb3a53c387910243f06b0c3dc7a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:43:19.758419Z","signature_b64":"9nwb5u3go9Nc7gK1Fn5kDf0g2sEmMOw4B0sGXeuFl3YmKYTnx5oiMPB+C7j2kyymTcT06lhBm7E47PU5s8yqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce1b221d540b3087862aa0f5b539a20e8e384e148358f929320d454679b329e2","last_reissued_at":"2026-07-05T02:43:19.757933Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:43:19.757933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Frank Schindler, M. Michael Denner, Pascal M. Vecsei, Titus Neupert","submitted_at":"2021-03-11T18:52:01Z","abstract_excerpt":"We characterize non-Hermitian band structures by symmetry indicator topological invariants. Enabled by crystalline inversion symmetry, these indicators allow us to short-cut the calculation of conventional non-Hermitian topological invariants. In particular, we express the three-dimensional winding number of point-gapped non-Hermitian systems, which is defined as an integral over the whole Brillouin zone, in terms of symmetry eigenvalues at high-symmetry momenta. Furthermore, for time-reversal symmetric non-Hermitian topological insulators, we find that symmetry indicators characterize the ass"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.06865","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.06865/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2103.06865","created_at":"2026-07-05T02:43:19.757991+00:00"},{"alias_kind":"arxiv_version","alias_value":"2103.06865v2","created_at":"2026-07-05T02:43:19.757991+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.06865","created_at":"2026-07-05T02:43:19.757991+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZYNSEHKUBMYI","created_at":"2026-07-05T02:43:19.757991+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZYNSEHKUBMYIPBRK","created_at":"2026-07-05T02:43:19.757991+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZYNSEHKU","created_at":"2026-07-05T02:43:19.757991+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZYNSEHKUBMYIPBRKUD23KONCB2","json":"https://pith.science/pith/ZYNSEHKUBMYIPBRKUD23KONCB2.json","graph_json":"https://pith.science/api/pith-number/ZYNSEHKUBMYIPBRKUD23KONCB2/graph.json","events_json":"https://pith.science/api/pith-number/ZYNSEHKUBMYIPBRKUD23KONCB2/events.json","paper":"https://pith.science/paper/ZYNSEHKU"},"agent_actions":{"view_html":"https://pith.science/pith/ZYNSEHKUBMYIPBRKUD23KONCB2","download_json":"https://pith.science/pith/ZYNSEHKUBMYIPBRKUD23KONCB2.json","view_paper":"https://pith.science/paper/ZYNSEHKU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2103.06865&json=true","fetch_graph":"https://pith.science/api/pith-number/ZYNSEHKUBMYIPBRKUD23KONCB2/graph.json","fetch_events":"https://pith.science/api/pith-number/ZYNSEHKUBMYIPBRKUD23KONCB2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZYNSEHKUBMYIPBRKUD23KONCB2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZYNSEHKUBMYIPBRKUD23KONCB2/action/storage_attestation","attest_author":"https://pith.science/pith/ZYNSEHKUBMYIPBRKUD23KONCB2/action/author_attestation","sign_citation":"https://pith.science/pith/ZYNSEHKUBMYIPBRKUD23KONCB2/action/citation_signature","submit_replication":"https://pith.science/pith/ZYNSEHKUBMYIPBRKUD23KONCB2/action/replication_record"}},"created_at":"2026-07-05T02:43:19.757991+00:00","updated_at":"2026-07-05T02:43:19.757991+00:00"}