{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KAJ6JN5SWMPGZGYGI5ZZ46USH5","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":"8fe1489976516a3694fd1f855f2054e99cdb2ea87f1ac155d2a21a903d5db4e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-05-13T14:12:30Z","title_canon_sha256":"ca5863c2fc69cf3ecab13639d61bf4aba0b714de5bd8fd14067df1f5b0165158"},"schema_version":"1.0","source":{"id":"1705.04833","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04833","created_at":"2026-05-18T00:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04833v1","created_at":"2026-05-18T00:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04833","created_at":"2026-05-18T00:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"KAJ6JN5SWMPG","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KAJ6JN5SWMPGZGYG","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KAJ6JN5S","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:00430a007319d4cf626cd1a8dc7c7639509b2d92c3d242067730d8579eac38e4","target":"graph","created_at":"2026-05-18T00:21:13Z","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":"We analyze eigenvalues emerging from thresholds of the essential spectrum of one-dimensional Dirac operators perturbed by complex and non-symmetric potentials. In the general non-self-adjoint setting we establish the existence and asymptotics of weakly coupled eigenvalues and Lieb-Thirring inequalities. As physical applications we investigate the damped wave equation and armchair graphene nanoribbons.","authors_text":"Jean-Claude Cuenin, Petr Siegl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-05-13T14:12:30Z","title":"Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04833","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:c2d0711c771f09349268fe582f09fdd321d5216ebb83a540866cabcb80b37708","target":"record","created_at":"2026-05-18T00:21:13Z","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":"8fe1489976516a3694fd1f855f2054e99cdb2ea87f1ac155d2a21a903d5db4e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-05-13T14:12:30Z","title_canon_sha256":"ca5863c2fc69cf3ecab13639d61bf4aba0b714de5bd8fd14067df1f5b0165158"},"schema_version":"1.0","source":{"id":"1705.04833","kind":"arxiv","version":1}},"canonical_sha256":"5013e4b7b2b31e6c9b0647739e7a923f7fed3af54827b73bddefb5b87d175a66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5013e4b7b2b31e6c9b0647739e7a923f7fed3af54827b73bddefb5b87d175a66","first_computed_at":"2026-05-18T00:21:13.927613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:13.927613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m1/cQEfqHoSEYfcSYqDp/aZG7SmEHDTUrinM18NgebDaM/GjpddxlDsVTH3UKbUPPGMfQDdXB9zUQiBpOEFOAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:13.928255Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.04833","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2d0711c771f09349268fe582f09fdd321d5216ebb83a540866cabcb80b37708","sha256:00430a007319d4cf626cd1a8dc7c7639509b2d92c3d242067730d8579eac38e4"],"state_sha256":"5e9a530a055c4034d85accebb260374db524d46017317bef0e2e33c110319203"}