{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:I64TKEXAKE7ESY6BCWVK374NVH","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":"f0892cb030c915672cce2f59bcd160038f8b56e56a3530821eb9d522880f3959","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1999-01-11T10:17:19Z","title_canon_sha256":"3b39fb2fdcc4ec564e571e5afa3da3a23fa4315b1acbb82b334d68100a5aea13"},"schema_version":"1.0","source":{"id":"quant-ph/9901023","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9901023","created_at":"2026-07-04T16:15:39Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9901023v1","created_at":"2026-07-04T16:15:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9901023","created_at":"2026-07-04T16:15:39Z"},{"alias_kind":"pith_short_12","alias_value":"I64TKEXAKE7E","created_at":"2026-07-04T16:15:39Z"},{"alias_kind":"pith_short_16","alias_value":"I64TKEXAKE7ESY6B","created_at":"2026-07-04T16:15:39Z"},{"alias_kind":"pith_short_8","alias_value":"I64TKEXA","created_at":"2026-07-04T16:15:39Z"}],"graph_snapshots":[{"event_id":"sha256:f9c7cabc2f8f7a6608fc2083d723d5234bce641ad8929bfbaaff394ddbaf9bad","target":"graph","created_at":"2026-07-04T16:15:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/9901023/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Avoided level crossings are associated with exceptional points which are the singularities of the spectrum and eigenfunctions, when they are considered as functions of a coupling parameter. It is shown that the wave function of {\\it one} state changes sign but not the other, if the exceptional point is encircled in the complex plane. An experimental setup is suggested where this peculiar phase change could be observed.","authors_text":"W.D. Heiss","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1999-01-11T10:17:19Z","title":"Phases of Wave Functions and Level Repulsion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9901023","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:df74b54e51d4cba9bd7f7dc2aab48bfc15db2ef31c1ba019dc1c392654d53152","target":"record","created_at":"2026-07-04T16:15:39Z","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":"f0892cb030c915672cce2f59bcd160038f8b56e56a3530821eb9d522880f3959","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1999-01-11T10:17:19Z","title_canon_sha256":"3b39fb2fdcc4ec564e571e5afa3da3a23fa4315b1acbb82b334d68100a5aea13"},"schema_version":"1.0","source":{"id":"quant-ph/9901023","kind":"arxiv","version":1}},"canonical_sha256":"47b93512e0513e4963c115aaadff8da9e45bddc060a812edc52ba869f3ad8d9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47b93512e0513e4963c115aaadff8da9e45bddc060a812edc52ba869f3ad8d9d","first_computed_at":"2026-07-04T16:15:39.218171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:15:39.218171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kKAJt3q8PTAwe3sk582w4qA9Wkd20ueON/oIAGhbsQ5WbXB+qPa8u1K9eh6UqGa7MF8+hT9a4jVZZrew7EKsAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:15:39.218587Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9901023","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df74b54e51d4cba9bd7f7dc2aab48bfc15db2ef31c1ba019dc1c392654d53152","sha256:f9c7cabc2f8f7a6608fc2083d723d5234bce641ad8929bfbaaff394ddbaf9bad"],"state_sha256":"0fc73fdb6899ce7905082eaf3b57cf2d314de926c99d76d5739a7ca02daa2d20"}