{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:Y4AKV5TNPB4IHKQL4YOHNXC5HW","short_pith_number":"pith:Y4AKV5TN","schema_version":"1.0","canonical_sha256":"c700aaf66d787883aa0be61c76dc5d3d975556f379aa87f002298e7f9186216a","source":{"kind":"arxiv","id":"1906.02224","version":1},"attestation_state":"computed","paper":{"title":"Exceptional points and the topology of quantum many-body spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"David J. Luitz, Francesco Piazza","submitted_at":"2019-06-05T18:06:54Z","abstract_excerpt":"We show that in a generic, ergodic quantum many-body system the interactions induce a non-trivial topology for an arbitrarily small non-hermitean component of the Hamiltonian. This is due to an exponential-in-system-size proliferation of exceptional points which have the hermitian limit as an accumulation (hyper-)surface. The nearest-neighbour level repulsion characterizing hermitian ergodic many-body sytems is thus shown to be a projection of a richer phenomenology where actually all the exponentially many pairs of eigenvalues interact. The proliferation and accumulation of exceptional points"},"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":"1906.02224","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-06-05T18:06:54Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el"],"title_canon_sha256":"2871d314209a58e3037e50de389d7e5def66d8cf5f7c137993f4d10786f5b1b5","abstract_canon_sha256":"2c87137a2337bf7990e2a3483b40236c62eff25cb5b2d5ed71632fb2173443ea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:17:05.419803Z","signature_b64":"Q0on5EVrSmvMxesOF8wYaPnyqQkh32qe+IivgbIWy5528BX8wRkPm9+CS1PtLuspMrDF7lPT+FHVhO/Z1k7XBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c700aaf66d787883aa0be61c76dc5d3d975556f379aa87f002298e7f9186216a","last_reissued_at":"2026-07-05T00:17:05.419208Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:17:05.419208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exceptional points and the topology of quantum many-body spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"David J. Luitz, Francesco Piazza","submitted_at":"2019-06-05T18:06:54Z","abstract_excerpt":"We show that in a generic, ergodic quantum many-body system the interactions induce a non-trivial topology for an arbitrarily small non-hermitean component of the Hamiltonian. This is due to an exponential-in-system-size proliferation of exceptional points which have the hermitian limit as an accumulation (hyper-)surface. The nearest-neighbour level repulsion characterizing hermitian ergodic many-body sytems is thus shown to be a projection of a richer phenomenology where actually all the exponentially many pairs of eigenvalues interact. The proliferation and accumulation of exceptional points"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.02224","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1906.02224/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":"1906.02224","created_at":"2026-07-05T00:17:05.419276+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.02224v1","created_at":"2026-07-05T00:17:05.419276+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.02224","created_at":"2026-07-05T00:17:05.419276+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y4AKV5TNPB4I","created_at":"2026-07-05T00:17:05.419276+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y4AKV5TNPB4IHKQL","created_at":"2026-07-05T00:17:05.419276+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y4AKV5TN","created_at":"2026-07-05T00:17:05.419276+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.03243","citing_title":"Critical fluctuations at a many-body exceptional point","ref_index":27,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Y4AKV5TNPB4IHKQL4YOHNXC5HW","json":"https://pith.science/pith/Y4AKV5TNPB4IHKQL4YOHNXC5HW.json","graph_json":"https://pith.science/api/pith-number/Y4AKV5TNPB4IHKQL4YOHNXC5HW/graph.json","events_json":"https://pith.science/api/pith-number/Y4AKV5TNPB4IHKQL4YOHNXC5HW/events.json","paper":"https://pith.science/paper/Y4AKV5TN"},"agent_actions":{"view_html":"https://pith.science/pith/Y4AKV5TNPB4IHKQL4YOHNXC5HW","download_json":"https://pith.science/pith/Y4AKV5TNPB4IHKQL4YOHNXC5HW.json","view_paper":"https://pith.science/paper/Y4AKV5TN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.02224&json=true","fetch_graph":"https://pith.science/api/pith-number/Y4AKV5TNPB4IHKQL4YOHNXC5HW/graph.json","fetch_events":"https://pith.science/api/pith-number/Y4AKV5TNPB4IHKQL4YOHNXC5HW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y4AKV5TNPB4IHKQL4YOHNXC5HW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y4AKV5TNPB4IHKQL4YOHNXC5HW/action/storage_attestation","attest_author":"https://pith.science/pith/Y4AKV5TNPB4IHKQL4YOHNXC5HW/action/author_attestation","sign_citation":"https://pith.science/pith/Y4AKV5TNPB4IHKQL4YOHNXC5HW/action/citation_signature","submit_replication":"https://pith.science/pith/Y4AKV5TNPB4IHKQL4YOHNXC5HW/action/replication_record"}},"created_at":"2026-07-05T00:17:05.419276+00:00","updated_at":"2026-07-05T00:17:05.419276+00:00"}